Course Modules

Basic Arithmetic

Basic Arithmetic Basic Arithmetic

Context Module Sub Header

Intro to Basic Arithmetic 1

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Page

Overview of Integers Overview of Integers 2

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Context Module Sub Header

Videos for Basic Review of Multiplication 3

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External Url

Strategies for multiplying multiples of 10, 100 and 1,000 (6:39) Strategies for multiplying multiples of 10, 100 and 1,000 (6:39) 4

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Multi-digit multiplication: Relate multiplication with area models to the standard algorithm (6:57) Multi-digit multiplication: Relate multiplication with area models to the standard algorithm (6:57) 5

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External Url

Intro to standard way of multiplying multi-digit numbers (4:26) Intro to standard way of multiplying multi-digit numbers (4:26) 6

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Understanding the standard algorithm for multiplication (4:33) Understanding the standard algorithm for multiplication (4:33) 7

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Multiplying multi-digit numbers: 6,742 X 23 (3:49) Multiplying multi-digit numbers: 6,742 X 23 (3:49) 8

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Context Module Sub Header

Videos for Basic Review of Division 9

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External Url

Strategies for dividing multiples of 10, 100, and 1000 (7:08) Strategies for dividing multiples of 10, 100, and 1000 (7:08) 10

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Long division with remainders: 2292 ÷ 4 (10:08) Long division with remainders: 2292 ÷ 4 (10:08) 11

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Long division with remainders: 3771 ÷ 8 (2:41) Long division with remainders: 3771 ÷ 8 (2:41) 12

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Introduction to dividing by 2-digits: 9815 ÷ 65 (4:56) Introduction to dividing by 2-digits: 9815 ÷ 65 (4:56) 13

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Dividing by 2-digits: 7182 ÷ 42 (2:49) Dividing by 2-digits: 7182 ÷ 42 (2:49) 14

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Dividing by a 2-digits: 4781 ÷ 32 (4:14) Dividing by a 2-digits: 4781 ÷ 32 (4:14) 15

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Context Module Sub Header

Videos for Basic Review of Negative Numbers 16

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External Url

Introduction to negative numbers (3:06) Introduction to negative numbers (3:06) 17

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Negative symbol as opposite (5:04) Negative symbol as opposite (5:04) 18

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Zero pairs worked example (2:10) Zero pairs worked example (2:10) 19

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External Url

Adding with integer chips (3:47) Adding with integer chips (3:47) 20

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Adding negative numbers on the number line (5:26) Adding negative numbers on the number line (5:26) 21

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Signs of sums on a number line (7:27) Signs of sums on a number line (7:27) 22

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Subtracting with integer chips (5:31) Subtracting with integer chips (5:31) 23

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Graphing negative number addition and subtraction expressions (3:55) Graphing negative number addition and subtraction expressions (3:55) 24

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External Url

Interpreting numeric expressions example (2:28) Interpreting numeric expressions example (2:28) 25

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Adding the opposite with integer chips (5:12) Adding the opposite with integer chips (5:12) 26

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Adding the opposite with number lines (4:59) Adding the opposite with number lines (4:59) 27

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External Url

Subtracting a negative = adding a positive (1:34) Subtracting a negative = adding a positive (1:34) 28

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Adding integers: find the missing value (3:03) Adding integers: find the missing value (3:03) 29

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External Url

Subtracting integers: find the missing value (6:55) Subtracting integers: find the missing value (6:55) 30

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Context Module Sub Header

Videos for GRE-specific Review 31

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Positives and Negatives (55:32) Positives and Negatives (55:32) 32

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Know the Number Properties "Code" (56:21) Know the Number Properties "Code" (56:21) 33

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Fractions and Decimals

Fractions and Decimals Fractions and Decimals

Context Module Sub Header

Intro to Fractions and Decimals 1

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Page

Overview of Fractions Overview of Fractions 2

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Page

Overview of Decimals Overview of Decimals 3

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Context Module Sub Header

Videos for Basic Review of Fractions 4

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External Url

Intro to fractions (4:16) Intro to fractions (4:16) 5

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Cutting shapes into equal parts (1:38) Cutting shapes into equal parts (1:38) 6

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Identifying numerators and denominators (2:33) Identifying numerators and denominators (2:33) 7

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Recognize fractions (3:50) Recognize fractions (3:50) 8

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Recognizing fractions greater than 1 (1:04) Recognizing fractions greater than 1 (1:04) 9

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Fractions on a number line (4:18) Fractions on a number line (4:18) 10

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Fractions on number line widget (1:01) Fractions on number line widget (1:01) 11

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Finding 1 on the number line (2:30) Finding 1 on the number line (2:30) 12

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Fractions greater than 1 on the number line (3:35) Fractions greater than 1 on the number line (3:35) 13

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Representing 1 as a fraction (3:46) Representing 1 as a fraction (3:46) 14

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Whole numbers as fractions (4:25) Whole numbers as fractions (4:25) 15

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Writing whole numbers as fractions (1:35) Writing whole numbers as fractions (1:35) 16

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Equivalent fractions with visuals (6:27) Equivalent fractions with visuals (6:27) 17

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Equivalent fraction models (4:13) Equivalent fraction models (4:13) 18

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Equivalent fraction visually (4:04) Equivalent fraction visually (4:04) 19

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Creating equivalent fractions (4:14) Creating equivalent fractions (4:14) 20

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Context Module Sub Header

Videos for Basic Review of Decimals 21

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External Url

Writing a number as a fraction and decimal (4:37) Writing a number as a fraction and decimal (4:37) 22

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Writing decimals and fractions greater than 1 shown on grids (3:03) Writing decimals and fractions greater than 1 shown on grids (3:03) 23

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Writing decimals and fractions shown on number lines (2:43) Writing decimals and fractions shown on number lines (2:43) 24

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Rewriting fractions as decimals (4:00) Rewriting fractions as decimals (4:00) 25

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Place value with decimals (4:07) Place value with decimals (4:07) 26

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Thousandths on the number line (2:22) Thousandths on the number line (2:22) 27

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Write decimal in expanded form (2:55) Write decimal in expanded form (2:55) 28

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Visual understanding of regrouping decimals (5:18) Visual understanding of regrouping decimals (5:18) 29

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Regrouping with decimals (4:37) Regrouping with decimals (4:37) 30

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Regrouping with decimals: 21.3 (4:17) Regrouping with decimals: 21.3 (4:17) 31

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Videos for GRE-specific Review 32

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Fun with Fractions (1:04:08) Fun with Fractions (1:04:08) 33

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Fractions, Parts and Wholes (1:04:40) Fractions, Parts and Wholes (1:04:40) 34

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Exponents and Roots

Exponents and Roots Exponents and Roots

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Intro to Exponents and Roots 1

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Overview of Exponents and Roots Overview of Exponents and Roots 2

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Videos for Basic Review of Exponents and Roots 3

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Intro to square roots (5:24) Intro to square roots (5:24) 4

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Intro to cube roots (8:02) Intro to cube roots (8:02) 5

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Worked example: Cube root of a negative number (4:20) Worked example: Cube root of a negative number (4:20) 6

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Square root of decimal (3:05) Square root of decimal (3:05) 7

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Dimensions of a cube from its volume (3:36) Dimensions of a cube from its volume (3:36) 8

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Exponent properties with products (14:02) Exponent properties with products (14:02) 9

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Exponent properties with parentheses (6:00) Exponent properties with parentheses (6:00) 10

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Exponent properties with quotients (9:23) Exponent properties with quotients (9:23) 11

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Negative exponents (7:16) Negative exponents (7:16) 12

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Negative exponent intuition (4:39) Negative exponent intuition (4:39) 13

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Multiplying & dividing powers (integer exponents) (4:25) Multiplying & dividing powers (integer exponents) (4:25) 14

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Powers of products & quotients (integer exponents) (6:45) Powers of products & quotients (integer exponents) (6:45) 15

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Powers of zero (3:23) Powers of zero (3:23) 16

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Multiplying multiples of powers of 10 (2:42) Multiplying multiples of powers of 10 (2:42) 17

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Approximating with powers of 10 (4:11) Approximating with powers of 10 (4:11) 18

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Context Module Sub Header

Videos for GRE-specific Review 19

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Exponent Workout (1:04:27) Exponent Workout (1:04:27) 20

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Divisibility and Primes

Divisibility and Primes Divisibility and Primes

Context Module Sub Header

Intro to Divisibility and Primes 1

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Overview of Divisibility and Primes Overview of Divisibility and Primes 2

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Videos for Basic Review of Divisibility and Primes 3

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Understanding factor pairs (4:10) Understanding factor pairs (4:10) 4

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Finding factors of a number (9:54) Finding factors of a number (9:54) 5

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Reasoning about factors and multiples (1:39) Reasoning about factors and multiples (1:39) 6

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Finding factors and multiples (4:01) Finding factors and multiples (4:01) 7

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Identifying multiples (4:01) Identifying multiples (4:01) 8

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Prime numbers (8:15) Prime numbers (8:15) 9

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Recognizing prime and composite numbers (4:41) Recognizing prime and composite numbers (4:41) 10

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Prime factorization (4:10) Prime factorization (4:10) 11

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Prime factorization exercise (3:50) Prime factorization exercise (3:50) 12

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Common divisibility examples (7:57) Common divisibility examples (7:57) 13

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Videos for GRE-specific Review 14

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Divisibility Connections: Primes, GCF, & LCM (1:08:18) Divisibility Connections: Primes, GCF, & LCM (1:08:18) 15

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Know the Number Properties "Code" (56:21) Know the Number Properties "Code" (56:21) 16

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Fun with Factors! (1:01:14) Fun with Factors! (1:01:14) 17

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Percents

Percents Percents

Context Module Sub Header

Intro to Percents 1

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Overview of Percents Overview of Percents 2

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Videos for Basic Review of Percents 3

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The meaning of percent (3:01) The meaning of percent (3:01) 4

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Meaning of 109% (2:23) Meaning of 109% (2:23) 5

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Percents from fraction models (4:23) Percents from fraction models (4:23) 6

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Finding percentages with a double number line (2:12) Finding percentages with a double number line (2:12) 7

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Finding the whole with a tape diagram (3:04) Finding the whole with a tape diagram (3:04) 8

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Fraction, decimal, and percent from visual model (3:33) Fraction, decimal, and percent from visual model (3:33) 9

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Converting percents to decimals & fractions example (3:33) Converting percents to decimals & fractions example (3:33) 10

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Percent of a whole number (2:08) Percent of a whole number (2:08) 11

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Ways to rewrite a percentage (2:00) Ways to rewrite a percentage (2:00) 12

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Finding common percentages (2:52) Finding common percentages (2:52) 13

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Finding a percent (3:34) Finding a percent (3:34) 14

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Percent word problem: recycling cans (2:48) Percent word problem: recycling cans (2:48) 15

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Videos for GRE-specific Review 16

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Deep Dive on Percent Change (1:12:41) Deep Dive on Percent Change (1:12:41) 17

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Perfecting Percents (1:05:28) Perfecting Percents (1:05:28) 18

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Basics of Percents on the GRE (1:05:12) Basics of Percents on the GRE (1:05:12) 19

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Ratios and Proportions

Ratios and Proportions Ratios and Proportions

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Intro to Ratios and Proportions 1

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Overview of Ratios and Proportions Overview of Ratios and Proportions 2

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Videos for Basic Review (total time: 38 minutes) 5

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Intro to Ratios (3:58) Intro to Ratios (3:58) 6

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Basic Ratio Problems (2:53) Basic Ratio Problems (2:53) 7

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Part:whole Ratios (3:22) Part:whole Ratios (3:22) 8

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Equivalent Ratio Word Problems (6:02) Equivalent Ratio Word Problems (6:02) 9

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Ratios and Double Number Lines (5:53) Ratios and Double Number Lines (5:53) 10

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Solving Ratio Problems with Tables (5:05) Solving Ratio Problems with Tables (5:05) 11

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Equivalent Ratios (4:43) Equivalent Ratios (4:43) 12

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Understanding Equivalent Ratios (5:45) Understanding Equivalent Ratios (5:45) 13

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Videos for More Advanced Review (1 hour total) 14

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Free GRE Prep-Hour: Ratio Basics (1 hour) Free GRE Prep-Hour: Ratio Basics (1 hour) 15

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Videos for GRE-specific Review 16

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The Power of Ratios (1:18:12) The Power of Ratios (1:18:12) 17

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Ratio Basics (1:04:32) Ratio Basics (1:04:32) 18

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Algebraic Expressions

Algebraic Expressions Algebraic Expressions

Context Module Sub Header

Intro to Algebraic Expressions 1

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Overview of Algebraic Expressions Overview of Algebraic Expressions 2

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Videos for Basic Review of Algebraic Expressions 3

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What is a variable? (3:19) What is a variable? (3:19) 4

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Why aren't we using the multiplication sign? (4:59) Why aren't we using the multiplication sign? (4:59) 5

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Evaluating an expression with one variable (2:02) Evaluating an expression with one variable (2:02) 6

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Evaluating expressions with two variables (2:06) Evaluating expressions with two variables (2:06) 7

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Writing basic expressions with variables (2:38) Writing basic expressions with variables (2:38) 8

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Writing expressions with variables (1:39) Writing expressions with variables (1:39) 9

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Writing expressions with variables & parentheses (2:44) Writing expressions with variables & parentheses (2:44) 10

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Intro to combining like terms (4:34) Intro to combining like terms (4:34) 11

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Combining like terms with negative coefficients & distribution (4:08) Combining like terms with negative coefficients & distribution (4:08) 12

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Combining like terms with negative coefficients (4:40) Combining like terms with negative coefficients (4:40) 13

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Combining like terms with rational coefficients (4:18) Combining like terms with rational coefficients (4:18) 14

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Distributive property with variables (6:30) Distributive property with variables (6:30) 15

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Equivalent expressions (1:58) Equivalent expressions (1:58) 16

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Nested fractions (5:46) Nested fractions (5:46) 17

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Solving Linear Equations

Solving Linear Equations Solving Linear Equations

Context Module Sub Header

Intro to Solving Linear Equations 1

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Overview of Solving Linear Equations Overview of Solving Linear Equations 2

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Videos for Basic Review of Linear Equations 3

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Why we do the same thing to both sides: Variable on both sides (7:37) Why we do the same thing to both sides: Variable on both sides (7:37) 4

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Intro to equations with variables on both sides (8:54) Intro to equations with variables on both sides (8:54) 5

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Equations with variables on both sides: 20-7x=6x-6 (4:09) Equations with variables on both sides: 20-7x=6x-6 (4:09) 6

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Equation with variables on both sides: fractions (4:51) Equation with variables on both sides: fractions (4:51) 7

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Equation with the variable in the denominator (3:25) Equation with the variable in the denominator (3:25) 8

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Equations with parentheses (6:06) Equations with parentheses (6:06) 9

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Reasoning with linear equations (7:41) Reasoning with linear equations (7:41) 10

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Number of solutions to equations (5:28) Number of solutions to equations (5:28) 11

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Worked example: number of solutions to equations (1:56) Worked example: number of solutions to equations (1:56) 12

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Creating an equation with no solutions (1:24) Creating an equation with no solutions (1:24) 13

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Creating an equation with infinitely many solutions (1:41) Creating an equation with infinitely many solutions (1:41) 14

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Linear equations with unknown coefficients (5:36) Linear equations with unknown coefficients (5:36) 15

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Context Module Sub Header

Videos for Basic Review of Two-variable Linear Equations 16

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Two-variable linear equations intro (8:20) Two-variable linear equations intro (8:20) 17

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Solutions to 2-variable equations (2:34) Solutions to 2-variable equations (2:34) 18

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Worked example: solutions to 2-variable equations (2:33) Worked example: solutions to 2-variable equations (2:33) 19

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Completing solutions to 2-variable equations (7:11) Completing solutions to 2-variable equations (7:11) 20

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Videos for Basic Review of Systems of Linear Equations 21

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Systems of equations: trolls, tolls (1 of 2) (6:51) Systems of equations: trolls, tolls (1 of 2) (6:51) 22

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Systems of equations: trolls, tolls (2 of 2) (5:42) Systems of equations: trolls, tolls (2 of 2) (5:42) 23

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Testing a solution to a system of equations (2:40) Testing a solution to a system of equations (2:40) 24

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Systems of equations with graphing: y=7/5x-5 & y=3/5x-1 (2:23) Systems of equations with graphing: y=7/5x-5 & y=3/5x-1 (2:23) 25

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Systems of equations with graphing: exact & approximate solutions (5:56) Systems of equations with graphing: exact & approximate solutions (5:56) 26

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Setting up a system of equations from context example (pet weights) (2:00) Setting up a system of equations from context example (pet weights) (2:00) 27

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Setting up a system of linear equations example (weight and price) (4:24) Setting up a system of linear equations example (weight and price) (4:24) 28

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Interpreting points in context of graphs of systems (5:40) Interpreting points in context of graphs of systems (5:40) 29

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Systems of equations with substitution: potato chips (5:23) Systems of equations with substitution: potato chips (5:23) 30

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Systems of equations with substitution: -3x-4y=-2 & y=2x-5 (4:23) Systems of equations with substitution: -3x-4y=-2 & y=2x-5 (4:23) 31

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Systems of equations with elimination: King's cupcakes (9:02) Systems of equations with elimination: King's cupcakes (9:02) 32

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Elimination strategies (7:17) Elimination strategies (7:17) 33

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Systems of equations with elimination: x-4y=-18 & -x+3y=11 (6:00) Systems of equations with elimination: x-4y=-18 & -x+3y=11 (6:00) 34

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Systems of equations with elimination: potato chips (9:21) Systems of equations with elimination: potato chips (9:21) 35

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Systems of equations with elimination (and manipulation) (12:01) Systems of equations with elimination (and manipulation) (12:01) 36

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Why can we subtract one equation from the other in a system of equations? (8:14) Why can we subtract one equation from the other in a system of equations? (8:14) 37

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Worked example: equivalent systems of equations (5:31) Worked example: equivalent systems of equations (5:31) 38

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Worked example: non-equivalent systems of equations (4:30) Worked example: non-equivalent systems of equations (4:30) 39

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Reasoning with systems of equations (8:37) Reasoning with systems of equations (8:37) 40

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Systems of equations number of solutions: fruit prices (1 of 2) (9:26) Systems of equations number of solutions: fruit prices (1 of 2) (9:26) 41

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Systems of equations number of solutions: fruit prices (2 of 2) (7:08) Systems of equations number of solutions: fruit prices (2 of 2) (7:08) 42

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Solutions to systems of equations: consistent vs. inconsistent (5:31) Solutions to systems of equations: consistent vs. inconsistent (5:31) 43

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Solutions to systems of equations: dependent vs. independent (5:11) Solutions to systems of equations: dependent vs. independent (5:11) 44

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Number of solutions to a system of equations (3:28) Number of solutions to a system of equations (3:28) 45

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Number of solutions to a system of equations graphically (6:37) Number of solutions to a system of equations graphically (6:37) 46

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Number of solutions to a system of equations algebraically (6:02) Number of solutions to a system of equations algebraically (6:02) 47

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How many solutions does a system of linear equations have if there are at least two? (2:13) How many solutions does a system of linear equations have if there are at least two? (2:13) 48

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Context Module Sub Header

Videos for GRE-specific Review 49

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Systems of Equations (1:07:56) Systems of Equations (1:07:56) 50

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Inequalities and Absolute Values

Inequalities and Absolute Values Inequalities and Absolute Values

Context Module Sub Header

Intro to Inequalities and Absolute Value 1

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Page

Overview of Inequalities and Absolute Value Overview of Inequalities and Absolute Value 2

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Videos for Basic Review of Inequalities and Absolute Value 3

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Absolute value examples (2:21) Absolute value examples (2:21) 4

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Testing solutions to inequalities (5:10) Testing solutions to inequalities (5:10) 5

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Plotting inequalities (2:08) Plotting inequalities (2:08) 6

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Plotting an inequality example (1:36) Plotting an inequality example (1:36) 7

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Inequalities word problems (2:58) Inequalities word problems (2:58) 8

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Writing equations for relationships between quantities (6:03) Writing equations for relationships between quantities (6:03) 9

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nequalities with variables on both sides (5:38) nequalities with variables on both sides (5:38) 10

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Inequalities with variables on both sides (with parentheses) (3:48) Inequalities with variables on both sides (with parentheses) (3:48) 11

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Multi-step inequalities (8:02) Multi-step inequalities (8:02) 12

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Using inequalities to solve problems (3:41) Using inequalities to solve problems (3:41) 13

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Testing solutions to inequalities (6:07) Testing solutions to inequalities (6:07) 14

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Testing solutions to systems of inequalities (1:16) Testing solutions to systems of inequalities (1:16) 15

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Writing two-variable inequalities word problem (2:24) Writing two-variable inequalities word problem (2:24) 16

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Solving two-variable inequalities word problem (3:43) Solving two-variable inequalities word problem (3:43) 17

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Interpreting two-variable inequalities word problem (4:21) Interpreting two-variable inequalities word problem (4:21) 18

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Modeling with systems of inequalities (9:47) Modeling with systems of inequalities (9:47) 19

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Writing systems of inequalities word problem (4:01) Writing systems of inequalities word problem (4:01) 20

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Solving systems of inequalities word problem (4:25) Solving systems of inequalities word problem (4:25) 21

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Context Module Sub Header

Videos for GRE-specific Review 22

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Absolute Value & the Number Line (1:13:07) Absolute Value & the Number Line (1:13:07) 23

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Mixing Inequalities, Absolute Values, and Quantitative Comparisons (1:12:31) Mixing Inequalities, Absolute Values, and Quantitative Comparisons (1:12:31) 24

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Hidden Inequalities (1:03:59) Hidden Inequalities (1:03:59) 25

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Solving Quadratic Equations

Solving Quadratic Equations Solving Quadratic Equations

Context Module Sub Header

Intro to Solving Quadratic Equations 1

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Page

Overview of Solving Quadratic Equations Overview of Solving Quadratic Equations 2

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Videos for Basic Review of Solving Quadratic Equations 3

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Parabolas intro (8:13) Parabolas intro (8:13) 4

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Interpreting a parabola in context (2:34) Interpreting a parabola in context (2:34) 5

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Zero product property (7:17) Zero product property (7:17) 6

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Quadratic word problems (factored form) (5:35) Quadratic word problems (factored form) (5:35) 7

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Solving quadratics by taking square roots (2:18) Solving quadratics by taking square roots (2:18) 8

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Solving quadratics by taking square roots examples (5:13) Solving quadratics by taking square roots examples (5:13) 9

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Quadratics by taking square roots: strategy (1:45) Quadratics by taking square roots: strategy (1:45) 10

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Solving quadratics by taking square roots: with steps (4:25) Solving quadratics by taking square roots: with steps (4:25) 11

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Vertex form introduction (6:15) Vertex form introduction (6:15) 12

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Quadratic word problems (vertex form) (7:04) Quadratic word problems (vertex form) (7:04) 13

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Solving quadratics by factoring (6:24) Solving quadratics by factoring (6:24) 14

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Solving quadratics by factoring: leading coefficient ≠ 1 (4:35) Solving quadratics by factoring: leading coefficient ≠ 1 (4:35) 15

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Solving quadratics using structure (3:56) Solving quadratics using structure (3:56) 16

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Quadratic equations word problem: triangle dimensions (8:23) Quadratic equations word problem: triangle dimensions (8:23) 17

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Quadratic equations word problem: box dimensions (5:56) Quadratic equations word problem: box dimensions (5:56) 18

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The quadratic formula (16:34) The quadratic formula (16:34) 19

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Worked example: quadratic formula (example 2) (6:42) Worked example: quadratic formula (example 2) (6:42) 20

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Worked example: quadratic formula (negative coefficients) (4:53) Worked example: quadratic formula (negative coefficients) (4:53) 21

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Using the quadratic formula: number of solutions (4:59) Using the quadratic formula: number of solutions (4:59) 22

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Completing the square (14:08) Completing the square (14:08) 23

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Worked example: Completing the square (intro) (3:24) Worked example: Completing the square (intro) (3:24) 24

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Worked example: Rewriting expressions by completing the square (3:03) Worked example: Rewriting expressions by completing the square (3:03) 25

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Worked example: Rewriting & solving equations by completing the square (6:19) Worked example: Rewriting & solving equations by completing the square (6:19) 26

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Solve by completing the square: Integer solutions (6:30) Solve by completing the square: Integer solutions (6:30) 27

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Solve by completing the square: Non-integer solutions (4:04) Solve by completing the square: Non-integer solutions (4:04) 28

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Worked example: completing the square (leading coefficient ≠ 1) (5:46) Worked example: completing the square (leading coefficient ≠ 1) (5:46) 29

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Solving quadratics by completing the square: no solution (5:31) Solving quadratics by completing the square: no solution (5:31) 30

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Strategy in solving quadratic equations (5:52) Strategy in solving quadratic equations (5:52) 31

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Finding the vertex of a parabola in standard form (5:41) Finding the vertex of a parabola in standard form (5:41) 32

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Quadratic word problem: ball (5:55) Quadratic word problem: ball (5:55) 33

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Forms & features of quadratic functions (8:30) Forms & features of quadratic functions (8:30) 34

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Worked examples: Forms & features of quadratic functions (6:43) Worked examples: Forms & features of quadratic functions (6:43) 35

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Finding features of quadratic functions (8:24) Finding features of quadratic functions (8:24) 36

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Interpret quadratic models: Factored form (4:01) Interpret quadratic models: Factored form (4:01) 37

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Interpret quadratic models: Vertex form (5:54) Interpret quadratic models: Vertex form (5:54) 38

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Context Module Sub Header

Videos for GRE-specific Review 39

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Quadratic Equations (1:00:34) Quadratic Equations (1:00:34) 40

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Coordinate Geometry

Coordinate Geometry Coordinate Geometry

Context Module Sub Header

Intro to Coordinate Geometry 1

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Page

Overview of Coordinate Geometry Overview of Coordinate Geometry 2

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Videos for Basic Review of Coordinate Geometry 3

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Intro to slope (6:55) Intro to slope (6:55) 4

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Positive & negative slope (5:01) Positive & negative slope (5:01) 5

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Worked example: slope from graph (4:43) Worked example: slope from graph (4:43) 6

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Graphing a line given point and slope (2:12) Graphing a line given point and slope (2:12) 7

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Calculating slope from tables (2:40) Calculating slope from tables (2:40) 8

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Worked example: slope from two points (7:13) Worked example: slope from two points (7:13) 9

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Slope of a horizontal line (5:04) Slope of a horizontal line (5:04) 10

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Horizontal & vertical lines (5:16) Horizontal & vertical lines (5:16) 11

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Intro to intercepts (6:33) Intro to intercepts (6:33) 12

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x-intercept of a line (1:44) x-intercept of a line (1:44) 13

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Intercepts from an equation (4:10) Intercepts from an equation (4:10) 14

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Intercepts from a table (4:01) Intercepts from a table (4:01) 15

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Slope, x-intercept, y-intercept meaning in context (4:00) Slope, x-intercept, y-intercept meaning in context (4:00) 16

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Slope and intercept meaning in context (2:21) Slope and intercept meaning in context (2:21) 17

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Slope and intercept meaning from a table (6:58) Slope and intercept meaning from a table (6:58) 18

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Finding slope and intercepts from tables (5:26) Finding slope and intercepts from tables (5:26) 19

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Linear functions word problem: fuel (5:31) Linear functions word problem: fuel (5:31) 20

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Comparing linear rates example (8:04) Comparing linear rates example (8:04) 21

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Intro to graphing two-variable inequalities (8:05) Intro to graphing two-variable inequalities (8:05) 22

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Graphing two-variable inequalities (3:06) Graphing two-variable inequalities (3:06) 23

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Two-variable inequalities from their graphs (3:22) Two-variable inequalities from their graphs (3:22) 24

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Intro to graphing systems of inequalities (5:38) Intro to graphing systems of inequalities (5:38) 25

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Graphing systems of inequalities (3:24) Graphing systems of inequalities (3:24) 26

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Graphs of systems of inequalities word problem (3:35) Graphs of systems of inequalities word problem (3:35) 27

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Graphs of two-variable inequalities word problem (5:00) Graphs of two-variable inequalities word problem (5:00) 28

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Interpret a quadratic graph (2:38) Interpret a quadratic graph (2:38) 29

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Graphing quadratics in factored form (6:04) Graphing quadratics in factored form (6:04) 30

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Graphing quadratics: vertex form (3:17) Graphing quadratics: vertex form (3:17) 31

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Graphing quadratics: standard form (4:43) Graphing quadratics: standard form (4:43) 32

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Comparing features of quadratic functions (4:16) Comparing features of quadratic functions (4:16) 33

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Comparing maximum points of quadratic functions (4:01) Comparing maximum points of quadratic functions (4:01) 34

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Intro to parabola transformations (8:02) Intro to parabola transformations (8:02) 35

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Shifting parabolas (4:43) Shifting parabolas (4:43) 36

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Scaling & reflecting parabolas (4:46) Scaling & reflecting parabolas (4:46) 37

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Context Module Sub Header

Videos for GRE-specific Review 38

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Coordinate Geometry 101 (1:02:07) Coordinate Geometry 101 (1:02:07) 39

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Functions

Functions Functions

Context Module Sub Header

Intro to Functions 1

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Page

Overview of Functions Overview of Functions 2

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Videos for Basic Review of Functions 3

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What is a function (7:57) What is a function (7:57) 4

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Worked example: Evaluating functions from equation (0:59) Worked example: Evaluating functions from equation (0:59) 5

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Worked example: Evaluating functions from graph (0:46) Worked example: Evaluating functions from graph (0:46) 6

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Evaluating discrete functions (3:22) Evaluating discrete functions (3:22) 7

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Worked example: evaluating expressions with function notation (1:24) Worked example: evaluating expressions with function notation (1:24) 8

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Worked example: matching an input to a function's output (equation) (1:40) Worked example: matching an input to a function's output (equation) (1:40) 9

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Worked example: matching an input to a function's output (graph) (1:08) Worked example: matching an input to a function's output (graph) (1:08) 10

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Worked example: two inputs with the same output (graph) (1:48) Worked example: two inputs with the same output (graph) (1:48) 11

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Equations vs. functions (4:18) Equations vs. functions (4:18) 12

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Obtaining a function from an equation (3:03) Obtaining a function from an equation (3:03) 13

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Function notation word problem: bank (3:25) Function notation word problem: bank (3:25) 14

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Function notation word problem: beach (2:36) Function notation word problem: beach (2:36) 15

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Intervals and interval notation (9:37) Intervals and interval notation (9:37) 16

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What is the domain of a function? (6:46) What is the domain of a function? (6:46) 17

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What is the range of a function? (6:40) What is the range of a function? (6:40) 18

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Worked example: domain and range from graph (3:37) Worked example: domain and range from graph (3:37) 19

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Determining whether values are in domain of function (5:00) Determining whether values are in domain of function (5:00) 20

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Examples finding the domain of functions (4:27) Examples finding the domain of functions (4:27) 21

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Worked example: determining domain word problem (real numbers) (2:20) Worked example: determining domain word problem (real numbers) (2:20) 22

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Worked example: determining domain word problem (positive integers) (2:36) Worked example: determining domain word problem (positive integers) (2:36) 23

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Worked example: determining domain word problem (all integers) (5:35) Worked example: determining domain word problem (all integers) (5:35) 24

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Recognizing functions from graph (4:09) Recognizing functions from graph (4:09) 25

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Does a vertical line represent a function? (1:42) Does a vertical line represent a function? (1:42) 26

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Recognizing functions from table (4:42) Recognizing functions from table (4:42) 27

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Recognizing functions from verbal description (1:33) Recognizing functions from verbal description (1:33) 28

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Recognizing functions from verbal description word problem (3:25) Recognizing functions from verbal description word problem (3:25) 29

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Introduction to minimum and maximum points (5:31) Introduction to minimum and maximum points (5:31) 30

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Worked example: absolute and relative extrema (5:00) Worked example: absolute and relative extrema (5:00) 31

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Increasing, decreasing, positive or negative intervals (5:56) Increasing, decreasing, positive or negative intervals (5:56) 32

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Worked example: positive & negative intervals (1:12) Worked example: positive & negative intervals (1:12) 33

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Graph interpretation word problem: temperature (3:56) Graph interpretation word problem: temperature (3:56) 34

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Graph interpretation word problem: basketball (3:51) Graph interpretation word problem: basketball (3:51) 35

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Introduction to average rate of change (5:32) Introduction to average rate of change (5:32) 36

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Worked example: average rate of change from graph (2:17) Worked example: average rate of change from graph (2:17) 37

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Worked example: average rate of change from table (2:22) Worked example: average rate of change from table (2:22) 38

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Average rate of change word problem: table (3:41) Average rate of change word problem: table (3:41) 39

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Average rate of change word problem: graph (7:00) Average rate of change word problem: graph (7:00) 40

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Intro to inverse functions (9:07) Intro to inverse functions (9:07) 41

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Inputs & outputs of inverse functions (6:19) Inputs & outputs of inverse functions (6:19) 42

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Graphing the inverse of a linear function (2:18) Graphing the inverse of a linear function (2:18) 43

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Finding inverse functions: linear (6:46) Finding inverse functions: linear (6:46) 44

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Shifting functions introduction (5:38) Shifting functions introduction (5:38) 45

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Shifting functions examples (7:50) Shifting functions examples (7:50) 46

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Graphing shifted functions (2:49) Graphing shifted functions (2:49) 47

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Reflecting functions introduction (7:11) Reflecting functions introduction (7:11) 48

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Reflecting functions: examples (6:35) Reflecting functions: examples (6:35) 49

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Function symmetry introduction (5:24) Function symmetry introduction (5:24) 50

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Even and odd functions: Graphs (3:54) Even and odd functions: Graphs (3:54) 51

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Even and odd functions: Tables (4:10) Even and odd functions: Tables (4:10) 52

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Even and odd functions: Equations (3:57) Even and odd functions: Equations (3:57) 53

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Even and odd functions: Find the mistake (3:36) Even and odd functions: Find the mistake (3:36) 54

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Scaling functions introduction (6:06) Scaling functions introduction (6:06) 55

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Scaling functions vertically: examples (5:10) Scaling functions vertically: examples (5:10) 56

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Scaling functions horizontally: examples (8:11) Scaling functions horizontally: examples (8:11) 57

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Identifying horizontal squash from graph (3:16) Identifying horizontal squash from graph (3:16) 58

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Identifying function transformations (6:42) Identifying function transformations (6:42) 59

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Graphing square and cube root functions (6:49) Graphing square and cube root functions (6:49) 60

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Transforming exponential graphs (3:06) Transforming exponential graphs (3:06) 61

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Transforming exponential graphs (example 2) (5:20) Transforming exponential graphs (example 2) (5:20) 62

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Graphing exponential functions (3:16) Graphing exponential functions (3:16) 63

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Context Module Sub Header

Videos for GRE-specific Review 64

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Functions, Formulas, and Sequences (1:11:45) Functions, Formulas, and Sequences (1:11:45) 65

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Word Problems and Applications

Word Problems and Applications Word Problems and Applications

Context Module Sub Header

Intro to Word Problems and Applications 1

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Page

Overview of Word Problems and Applications Overview of Word Problems and Applications 2

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Videos for Basic Review of Word Problems and Applications 3

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Age word problem: Imran (3:43) Age word problem: Imran (3:43) 4

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Age word problem: Ben & William (6:29) Age word problem: Ben & William (6:29) 5

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Age word problem: Arman & Diya (5:23) Age word problem: Arman & Diya (5:23) 6

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System of equations word problem: walk & ride (7:01) System of equations word problem: walk & ride (7:01) 7

external_url 543 0

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System of equations word problem: no solution (5:03) System of equations word problem: no solution (5:03) 8

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System of equations word problem: infinite solutions (5:02) System of equations word problem: infinite solutions (5:02) 9

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Systems of equations with elimination: TV & DVD (5:51) Systems of equations with elimination: TV & DVD (5:51) 10

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Systems of equations with elimination: apples and oranges (5:11) Systems of equations with elimination: apples and oranges (5:11) 11

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Systems of equations with substitution: coins (6:00) Systems of equations with substitution: coins (6:00) 12

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Systems of equations with elimination: coffee and croissants (4:16) Systems of equations with elimination: coffee and croissants (4:16) 13

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Context Module Sub Header

Videos for GRE-specific Review 14

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Rates Made Easy (59:45) Rates Made Easy (59:45) 15

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Rates and Work (57:57) Rates and Work (57:57) 16

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Two Variable Word Problems (56:22) Two Variable Word Problems (56:22) 17

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Lines and Angles

Lines and Angles Lines and Angles

Context Module Sub Header

Intro to Lines and Angles 1

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Page

Overview of Lines and Angles Overview of Lines and Angles 2

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Videos for Basic Review of Lines and Angles 3

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Terms & labels in geometry (12:58) Terms & labels in geometry (12:58) 4

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Lines, line segments, & rays (3:39) Lines, line segments, & rays (3:39) 5

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Identifying rays (5:42) Identifying rays (5:42) 6

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Measuring Line Segments (1:29) Measuring Line Segments (1:29) 7

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Congruent line segments (1:04) Congruent line segments (1:04) 8

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Parallel & perpendicular lines intro (2:10) Parallel & perpendicular lines intro (2:10) 9

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Parallel & perpendicular lines (3:36) Parallel & perpendicular lines (3:36) 10

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Drawing parallel line segments (1:57) Drawing parallel line segments (1:57) 11

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Specifying planes in three dimensions (4:14) Specifying planes in three dimensions (4:14) 12

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Geometric definitions example (8:47) Geometric definitions example (8:47) 13

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The golden ratio (14:43) The golden ratio (14:43) 14

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Angles: introduction (6:50) Angles: introduction (6:50) 15

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Naming angles (1:11) Naming angles (1:11) 16

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Measuring angles in degrees (8:22) Measuring angles in degrees (8:22) 17

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Angle measurement & circle arcs (7:37) Angle measurement & circle arcs (7:37) 18

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Recognizing angles (2:15) Recognizing angles (2:15) 19

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Drawing acute, right and obtuse angles (2:39) Drawing acute, right and obtuse angles (2:39) 20

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Identifying an angle (2:02) Identifying an angle (2:02) 21

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Complementary & supplementary angles (8:31) Complementary & supplementary angles (8:31) 22

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Angle relationships example (4:43) Angle relationships example (4:43) 23

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Vertical angles are congruent proof (4:51) Vertical angles are congruent proof (4:51) 24

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Angles, parallel lines, & transversals (7:07) Angles, parallel lines, & transversals (7:07) 25

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Missing angles with a transversal (2:16) Missing angles with a transversal (2:16) 26

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Parallel lines & corresponding angles proof (5:18) Parallel lines & corresponding angles proof (5:18) 27

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Missing angles (10:58) Missing angles (10:58) 28

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Proving angles are congruent (4:52) Proving angles are congruent (4:52) 29

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Proofs with transformations (8:44) Proofs with transformations (8:44) 30

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Context Module Sub Header

Videos for GRE-specific Review 31

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Geometry and Quantitative Comparison 1 (1:15:33) Geometry and Quantitative Comparison 1 (1:15:33) 32

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Geometry and Quantitative Comparison (1:03:44) Geometry and Quantitative Comparison (1:03:44) 33

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How to Practice (and learn) Geometry (59:44) How to Practice (and learn) Geometry (59:44) 34

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Quadrilaterals

Quadrilaterals Quadrilaterals

Context Module Sub Header

Intro to Quadrilaterals 1

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Page

Overview of Polygons Overview of Polygons 2

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Overview of Quadrilaterals Overview of Quadrilaterals 3

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Videos for Basic Review of Quadrilaterals 4

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Intro to quadrilateral (8:23) Intro to quadrilateral (8:23) 5

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Quadrilateral properties (5:07) Quadrilateral properties (5:07) 6

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Quadrilateral types (2:48) Quadrilateral types (2:48) 7

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Classifying quadrilaterals (2:28) Classifying quadrilaterals (2:28) 8

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Kites as a geometric shape (5:38) Kites as a geometric shape (5:38) 9

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Proof: Opposite sides of a parallelogram (8:32) Proof: Opposite sides of a parallelogram (8:32) 10

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Proof: Diagonals of a parallelogram (9:06) Proof: Diagonals of a parallelogram (9:06) 11

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Proof: Opposite angles of a parallelogram (4:08) Proof: Opposite angles of a parallelogram (4:08) 12

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Proof: Rhombus diagonals are perpendicular bisectors (4:03) Proof: Rhombus diagonals are perpendicular bisectors (4:03) 13

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Whether a special quadrilateral can exist (5:08) Whether a special quadrilateral can exist (5:08) 14

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Rhombus diagonals (4:38) Rhombus diagonals (4:38) 15

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Intro to area and unit squares (4:17) Intro to area and unit squares (4:17) 16

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Measuring rectangles with different unit squares (3:03) Measuring rectangles with different unit squares (3:03) 17

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Measuring area with partial unit squares (3:16) Measuring area with partial unit squares (3:16) 18

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Creating rectangles with a given area 1 (3:28) Creating rectangles with a given area 1 (3:28) 19

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Creating rectangles with a given area 2 (2:47) Creating rectangles with a given area 2 (2:47) 20

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Transitioning from unit squares to area formula (3:21) Transitioning from unit squares to area formula (3:21) 21

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Finding missing side when given area (3:04) Finding missing side when given area (3:04) 22

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Counting unit squares to find area formula (5:20) Counting unit squares to find area formula (5:20) 23

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Perimeter: introduction (3:21) Perimeter: introduction (3:21) 24

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Perimeter of a shape (2:02) Perimeter of a shape (2:02) 25

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Finding perimeter when a side length is missing (3:31) Finding perimeter when a side length is missing (3:31) 26

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Finding missing side length when given perimeter (4:55) Finding missing side length when given perimeter (4:55) 27

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Perimeter & area (8:25) Perimeter & area (8:25) 28

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Perimeter and unit conversion (6:13) Perimeter and unit conversion (6:13) 29

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Area of a parallelogram (2:56) Area of a parallelogram (2:56) 30

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Area of a quadrilateral on a grid (3:54) Area of a quadrilateral on a grid (3:54) 31

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Context Module Sub Header

Videos for GRE-specific Review 32

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Geometry and Quantitative Comparison 1 (1:15:33) Geometry and Quantitative Comparison 1 (1:15:33) 33

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Geometry and Quantitative Comparison 2 (1:03:44) Geometry and Quantitative Comparison 2 (1:03:44) 34

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How to Practice (and learn) Geometry (59:44) How to Practice (and learn) Geometry (59:44) 35

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Triangles

Triangles Triangles

Context Module Sub Header

Intro to Triangles 1

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Page

Overview of Triangles Overview of Triangles 2

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Context Module Sub Header

Videos for Basic Review of Triangles 3

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Congruent shapes & transformations (1:43) Congruent shapes & transformations (1:43) 4

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Non-congruent shapes & transformations (2:06) Non-congruent shapes & transformations (2:06) 5

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Corresponding parts of congruent triangles are congruent (6:03) Corresponding parts of congruent triangles are congruent (6:03) 6

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Triangle congruence postulates/criteria (13:29) Triangle congruence postulates/criteria (13:29) 7

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Why SSA isn't a congruence postulate/criterion (7:26) Why SSA isn't a congruence postulate/criterion (7:26) 8

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Determining congruent triangles (7:30) Determining congruent triangles (7:30) 9

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Corresponding angles in congruent triangles (4:36) Corresponding angles in congruent triangles (4:36) 10

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Isosceles & equilateral triangles problems (6:29) Isosceles & equilateral triangles problems (6:29) 11

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Finding angles in isosceles triangles (5:35) Finding angles in isosceles triangles (5:35) 12

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Finding angles in isosceles triangles (example 2) (3:16) Finding angles in isosceles triangles (example 2) (3:16) 13

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Similar shapes & transformations (2:38) Similar shapes & transformations (2:38) 14

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Intro to triangle similarity (9:19) Intro to triangle similarity (9:19) 15

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Triangle similarity postulates/criteria (12:14) Triangle similarity postulates/criteria (12:14) 16

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Determining similar triangles (9:26) Determining similar triangles (9:26) 17

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Proving slope is constant using similarity (7:56) Proving slope is constant using similarity (7:56) 18

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Solving similar triangles (7:37) Solving similar triangles (7:37) 19

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Solving similar triangles: same side plays different roles (6:07) Solving similar triangles: same side plays different roles (6:07) 20

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Using similar & congruent triangles (10:07) Using similar & congruent triangles (10:07) 21

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Challenging similarity problem (9:52) Challenging similarity problem (9:52) 22

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Geometry word problem: the golden ratio (8:23) Geometry word problem: the golden ratio (8:23) 23

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Geometry word problem: Earth & Moon radii (6:22) Geometry word problem: Earth & Moon radii (6:22) 24

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Geometry word problem: a perfect pool shot (6:49) Geometry word problem: a perfect pool shot (6:49) 25

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Special right triangles intro (part 1) (9:30) Special right triangles intro (part 1) (9:30) 26

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Special right triangles intro (part 2) (9:40) Special right triangles intro (part 2) (9:40) 27

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30-60-90 triangle example problem (6:44) 30-60-90 triangle example problem (6:44) 28

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Area of a triangle (5:29) Area of a triangle (5:29) 29

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Area of a triangle on a grid (6:56) Area of a triangle on a grid (6:56) 30

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Area of equilateral triangle (3:43) Area of equilateral triangle (3:43) 31

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Area of equilateral triangle (advanced) (5:36) Area of equilateral triangle (advanced) (5:36) 32

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Area of diagonal-generated triangles (4:36) Area of diagonal-generated triangles (4:36) 33

external_url 807 0

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Area of trapezoids (4:48) Area of trapezoids (4:48) 34

external_url 797 0

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Area of kites (3:52) Area of kites (3:52) 35

external_url 798 0

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Finding area by rearranging parts (3:57) Finding area by rearranging parts (3:57) 36

external_url 799 0

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Area of composite shapes (5:15) Area of composite shapes (5:15) 37

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Perimeter & area of composite shapes (3:03) Perimeter & area of composite shapes (3:03) 38

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Challenge problems: perimeter & area (8:13) Challenge problems: perimeter & area (8:13) 39

external_url 802 0

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Context Module Sub Header

Videos for GRE-specific Review 40

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Geometry and Quantitative Comparison (1:15:33) Geometry and Quantitative Comparison (1:15:33) 41

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Geometry and Quantitative Comparison 2 (1:03:44) Geometry and Quantitative Comparison 2 (1:03:44) 42

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How to Practice (and learn) Geometry (59:44) How to Practice (and learn) Geometry (59:44) 43

external_url 1070 0

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Special Right Triangles (1:05:17) Special Right Triangles (1:05:17) 44

external_url 1086 0

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Circles and Right Triangles (1:10:26) Circles and Right Triangles (1:10:26) 45

external_url 1088 0

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Circles

Circles Circles

Context Module Sub Header

Intro to Circles 1

context_module_sub_header 808 0

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Page

Overview of Circles Overview of Circles 2

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Context Module Sub Header

Videos for Basic Review of Circles 3

context_module_sub_header 809 0

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External Url

Circles glossary (11:13) Circles glossary (11:13) 4

external_url 811 0

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Radius, diameter, circumference & π (11:05) Radius, diameter, circumference & π (11:05) 5

external_url 812 0

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Proof: all circles are similar (1:34) Proof: all circles are similar (1:34) 6

external_url 813 0

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External Url

Intro to arc measure (5:26) Intro to arc measure (5:26) 7

external_url 814 0

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External Url

Finding arc measures (6:35) Finding arc measures (6:35) 8

external_url 815 0

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Finding arc measures with equations (6:57) Finding arc measures with equations (6:57) 9

external_url 816 0

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Arc length from subtended angle (4:58) Arc length from subtended angle (4:58) 10

external_url 817 0

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Subtended angle from arc length (2:18) Subtended angle from arc length (2:18) 11

external_url 818 0

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Intro to radians (10:51) Intro to radians (10:51) 12

external_url 819 0

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Radians & degrees (7:11) Radians & degrees (7:11) 13

external_url 820 0

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External Url

Degrees to radians (7:02) Degrees to radians (7:02) 14

external_url 821 0

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Radians to degrees (3:20) Radians to degrees (3:20) 15

external_url 822 0

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External Url

Arc length as fraction of circumference (2:58) Arc length as fraction of circumference (2:58) 16

external_url 823 0

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Arc length from subtended angle: radians (2:39) Arc length from subtended angle: radians (2:39) 17

external_url 824 0

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External Url

Inscribed angles (1:19) Inscribed angles (1:19) 18

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Inscribed angle theorem proof (14:17) Inscribed angle theorem proof (14:17) 19

external_url 826 0

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Proof: Right triangles inscribed in circles (5:35) Proof: Right triangles inscribed in circles (5:35) 20

external_url 827 0

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Inscribed shapes: find diameter (2:32) Inscribed shapes: find diameter (2:32) 21

external_url 828 0

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External Url

Inscribed shapes: angle subtended by diameter (5:48) Inscribed shapes: angle subtended by diameter (5:48) 22

external_url 829 0

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Inscribed shapes: find inscribed angle (2:09) Inscribed shapes: find inscribed angle (2:09) 23

external_url 830 0

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External Url

Inscribed quadrilaterals proof (3:55) Inscribed quadrilaterals proof (3:55) 24

external_url 831 0

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External Url

Solving inscribed quadrilaterals (4:57) Solving inscribed quadrilaterals (4:57) 25

external_url 832 0

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Proof: Radius is perpendicular to tangent line (8:40) Proof: Radius is perpendicular to tangent line (8:40) 26

external_url 833 0

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Proof: Segments tangent to circle from outside point are congruent (3:55) Proof: Segments tangent to circle from outside point are congruent (3:55) 27

external_url 834 0

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External Url

Tangents of circles problem (example 1) (4:36) Tangents of circles problem (example 1) (4:36) 28

external_url 835 0

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External Url

Tangents of circles problem (example 2) (3:47) Tangents of circles problem (example 2) (3:47) 29

external_url 836 0

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External Url

Tangents of circles problem (example 3) (2:34) Tangents of circles problem (example 3) (2:34) 30

external_url 837 0

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Proof: radius is perpendicular to a chord it bisects (8:19) Proof: radius is perpendicular to a chord it bisects (8:19) 31

external_url 838 0

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Proof: perpendicular radius bisects chord (3:53) Proof: perpendicular radius bisects chord (3:53) 32

external_url 839 0

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Area of inscribed equilateral triangle (11:39) Area of inscribed equilateral triangle (11:39) 33

external_url 840 0

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Labeling parts of a circle (2:01) Labeling parts of a circle (2:01) 34

external_url 841 0

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Radius & diameter from circumference (3:35) Radius & diameter from circumference (3:35) 35

external_url 842 0

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External Url

Area of a circle (4:02) Area of a circle (4:02) 36

external_url 843 0

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External Url

Area of a circle intuition (9:25) Area of a circle intuition (9:25) 37

external_url 844 0

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Context Module Sub Header

Videos for GRE-specific Review 38

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External Url

Geometry and Quantitative Comparison 1 (1:15:33) Geometry and Quantitative Comparison 1 (1:15:33) 39

external_url 1051 0

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Geometry and Quantitative Comparison 2 (1:03:44) Geometry and Quantitative Comparison 2 (1:03:44) 40

external_url 1054 0

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How to Practice (and learn) Geometry (59:44) How to Practice (and learn) Geometry (59:44) 41

external_url 1071 0

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Circles and Right Triangles (1:10:26) Circles and Right Triangles (1:10:26) 42

external_url 1089 0

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Three-Dimensional Figures

Three-Dimensional Figures Three-Dimensional Figures

Context Module Sub Header

Intro to Three-Dimensional Figures 1

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Overview of Three-Dimensional Figures Overview of Three-Dimensional Figures 2

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Videos for Basic Review of Three-Dimensional Figures 3

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Volume intro (7:50) Volume intro (7:50) 4

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Measuring volume with unit cubes (2:13) Measuring volume with unit cubes (2:13) 5

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Measuring volume as area times length (7:22) Measuring volume as area times length (7:22) 6

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Volume of a rectangular prism (1:59) Volume of a rectangular prism (1:59) 7

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Volume of triangular prism & cube (3:56) Volume of triangular prism & cube (3:56) 8

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Volume with fractional cubes (4:18) Volume with fractional cubes (4:18) 9

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Volume of a rectangular prism: fractional dimensions (4:14) Volume of a rectangular prism: fractional dimensions (4:14) 10

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Volume of a rectangular prism: word problem (6:22) Volume of a rectangular prism: word problem (6:22) 11

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Intro to nets of polyhedra (6:48) Intro to nets of polyhedra (6:48) 12

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Surface area using a net: triangular prism (3:33) Surface area using a net: triangular prism (3:33) 13

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Surface area of a box (cuboid) (2:24) Surface area of a box (cuboid) (2:24) 14

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Surface area of a box using nets (4:43) Surface area of a box using nets (4:43) 15

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Surface area using a net: rectangular prism (4:19) Surface area using a net: rectangular prism (4:19) 16

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Cylinder volume & surface area (8:07) Cylinder volume & surface area (8:07) 17

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Volume of a cone (5:44) Volume of a cone (5:44) 18

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Volume of a sphere (2:35) Volume of a sphere (2:35) 19

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Context Module Sub Header

Videos for GRE-specific Review 20

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Geometry and Quantitative Comparison 1 (1:15:33) Geometry and Quantitative Comparison 1 (1:15:33) 21

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Geometry and Quantitative Comparison 2 (1:03:44) Geometry and Quantitative Comparison 2 (1:03:44) 22

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How to Practice (and learn) Geometry (59:44) How to Practice (and learn) Geometry (59:44) 23

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Graphical Methods for Describing Data

Graphical Methods for Describing Data Graphical Methods for Describing Data

Context Module Sub Header

Intro to Graphical Methods for Describing Data 1

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Overview of Graphical Methods for Describing Data Overview of Graphical Methods for Describing Data 2

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Overview of Data Interpretation Examples Overview of Data Interpretation Examples 3

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Videos for Basic Review of Graphical Methods for Describing Data 4

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Representing data (8:17) Representing data (8:17) 5

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Frequency tables & dot plots (7:18) Frequency tables & dot plots (7:18) 6

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Creating picture and bar graphs (4:57) Creating picture and bar graphs (4:57) 7

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Solving problems with picture graphs (3:38) Solving problems with picture graphs (3:38) 8

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Interpreting picture graphs: paint (1:23) Interpreting picture graphs: paint (1:23) 9

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Interpreting picture graphs: notebook (3:44) Interpreting picture graphs: notebook (3:44) 10

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Creating picture and bar graphs (4:57) Creating picture and bar graphs (4:57) 11

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Reading bar graphs: Harry Potter (0:52) Reading bar graphs: Harry Potter (0:52) 12

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Reading bar graphs: movies (3:48) Reading bar graphs: movies (3:48) 13

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Interpreting bar graphs: colors (4:05) Interpreting bar graphs: colors (4:05) 14

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Measuring lengths to nearest 1/4 unit (2:13) Measuring lengths to nearest 1/4 unit (2:13) 15

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Graphing data on line plots (5:04) Graphing data on line plots (5:04) 16

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Interpreting line plots with fractions (3:36) Interpreting line plots with fractions (3:36) 17

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Interpreting box plots (7:43) Interpreting box plots (7:43) 18

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Constructing a scatter plot (2:31) Constructing a scatter plot (2:31) 19

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Example of direction in scatterplots (2:26) Example of direction in scatterplots (2:26) 20

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Scatter plot: smokers (2:35) Scatter plot: smokers (2:35) 21

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Estimating the line of best fit exercise (1:17) Estimating the line of best fit exercise (1:17) 22

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Line of best fit: smoking in 1945 (4:47) Line of best fit: smoking in 1945 (4:47) 23

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Estimating with linear regression (linear models) (3:22) Estimating with linear regression (linear models) (3:22) 24

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Interpreting a trend line (3:28) Interpreting a trend line (3:28) 25

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Creating a histogram (7:21) Creating a histogram (7:21) 26

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Histograms (6:08) Histograms (6:08) 27

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Interpreting a histogram (4:28) Interpreting a histogram (4:28) 28

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Stem-and-leaf plots (5:58) Stem-and-leaf plots (5:58) 29

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Reading stem and leaf plots (3:08) Reading stem and leaf plots (3:08) 30

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Comparing dot plots, histograms, and box plots (5:25) Comparing dot plots, histograms, and box plots (5:25) 31

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Reading line graphs (2:21) Reading line graphs (2:21) 32

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Misleading line graphs (4:53) Misleading line graphs (4:53) 33

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Videos for GRE-specific Review 34

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Graphs on the GRE - Coordinate Plane (1:06:11) Graphs on the GRE - Coordinate Plane (1:06:11) 35

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Videos for GRE-specific Review 36

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Graphs and Data Interpretation Overview (57:48) Graphs and Data Interpretation Overview (57:48) 37

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How GRE Data Interpretation is Trying to Trick You (52:49) How GRE Data Interpretation is Trying to Trick You (52:49) 38

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Numerical Methods for Describing Data

Numerical Methods for Describing Data Numerical Methods for Describing Data

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Intro to Numerical Methods for Describing Data 1

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Overview of Numerical Methods for Describing Data Overview of Numerical Methods for Describing Data 2

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Videos for Basic Review of Numerical Methods for Describing Data 3

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Statistics intro: Mean, median, & mode (8:54) Statistics intro: Mean, median, & mode (8:54) 4

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Mean, median, & mode example (3:55) Mean, median, & mode example (3:55) 5

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Comparing means of distributions (7:49) Comparing means of distributions (7:49) 6

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Means and medians of different distributions (6:29) Means and medians of different distributions (6:29) 7

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Impact on median & mean: removing an outlier (5:36) Impact on median & mean: removing an outlier (5:36) 8

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Impact on median & mean: increasing an outlier (4:15) Impact on median & mean: increasing an outlier (4:15) 9

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Missing value given the mean (5:02) Missing value given the mean (5:02) 10

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Median & range puzzlers (6:54) Median & range puzzlers (6:54) 11

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Interquartile range (IQR) (6:12) Interquartile range (IQR) (6:12) 12

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Measures of spread: range, variance & standard deviation (12:34) Measures of spread: range, variance & standard deviation (12:34) 13

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Variance of a population (8:05) Variance of a population (8:05) 14

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Population standard deviation (8:05) Population standard deviation (8:05) 15

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Mean and standard deviation versus median and IQR (7:58) Mean and standard deviation versus median and IQR (7:58) 16

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Statistics: Alternate variance formulas (12:17) Statistics: Alternate variance formulas (12:17) 17

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Sample variance (10:38) Sample variance (10:38) 18

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Sample standard deviation and bias (9:32) Sample standard deviation and bias (9:32) 19

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Why we divide by n - 1 in variance (4:46) Why we divide by n - 1 in variance (4:46) 20

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Simulation showing bias in sample variance (6:24) Simulation showing bias in sample variance (6:24) 21

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Simulation providing evidence that (n-1) gives us unbiased estimate (4:30) Simulation providing evidence that (n-1) gives us unbiased estimate (4:30) 22

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Review and intuition why we divide by n-1 for the unbiased sample variance (9:44) Review and intuition why we divide by n-1 for the unbiased sample variance (9:44) 23

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Worked example: Creating a box plot (odd number of data points) (3:17) Worked example: Creating a box plot (odd number of data points) (3:17) 24

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Worked example: Creating a box plot (even number of data points) (3:14) Worked example: Creating a box plot (even number of data points) (3:14) 25

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Constructing a box plot (8:18) Constructing a box plot (8:18) 26

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Reading box plots (3:18) Reading box plots (3:18) 27

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Interpreting box plots (7:43) Interpreting box plots (7:43) 28

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Judging outliers in a dataset (8:20) Judging outliers in a dataset (8:20) 29

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Context Module Sub Header

Videos for GRE-specific Review 30

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Stats Continued (1:05:37) Stats Continued (1:05:37) 31

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Fun Stats Tips and Tricks (1:04:32) Fun Stats Tips and Tricks (1:04:32) 32

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Counting Methods and Combinatorics

Counting Methods and Combinatorics Counting Methods and Combinatorics

Context Module Sub Header

Intro to Counting Methods and Combinatorics 1

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Overview of Counting Methods and Combinatorics Overview of Counting Methods and Combinatorics 2

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Videos for Basic Review of Counting Methods and Combinatorics 3

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Intersection and union of sets (7:44) Intersection and union of sets (7:44) 4

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Universal set and absolute complement (6:26) Universal set and absolute complement (6:26) 5

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Representing sets using Venn diagrams (4:01) Representing sets using Venn diagrams (4:01) 6

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Bringing the set operations together (6:28) Bringing the set operations together (6:28) 7

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Count outcomes using tree diagram (4:31) Count outcomes using tree diagram (4:31) 8

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Counting outcomes: flower pots (2:34) Counting outcomes: flower pots (2:34) 9

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Permutation formula (7:34) Permutation formula (7:34) 10

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Zero factorial or 0! (4:49) Zero factorial or 0! (4:49) 11

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Factorial and counting seat arrangements (5:33) Factorial and counting seat arrangements (5:33) 12

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Possible three letter words (5:38) Possible three letter words (5:38) 13

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Ways to arrange colors (3:45) Ways to arrange colors (3:45) 14

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Ways to pick officers (2:19) Ways to pick officers (2:19) 15

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Intro to combinations (6:17) Intro to combinations (6:17) 16

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Combination formula (11:16) Combination formula (11:16) 17

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Handshaking combinations (7:28) Handshaking combinations (7:28) 18

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Combination example: 9 card hands (7:43) Combination example: 9 card hands (7:43) 19

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Videos for GRE-specific Review 20

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Combinatorics on the GRE (1:03:00) Combinatorics on the GRE (1:03:00) 21

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Overlapping Sets (58:09) Overlapping Sets (58:09) 22

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Combinatorics Using the Slot Method (1:02:10) Combinatorics Using the Slot Method (1:02:10) 23

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Probability and Combinatorics (1:09:25) Probability and Combinatorics (1:09:25) 24

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Probability

Probability Probability

Context Module Sub Header

Intro to Probability 1

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Page

Overview of Probability Overview of Probability 2

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Videos for Basic Review of Probability 3

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Intro to theoretical probability (8:18) Intro to theoretical probability (8:18) 4

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Simple probability: yellow marble (2:56) Simple probability: yellow marble (2:56) 5

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Simple probability: non-blue marble (9:56) Simple probability: non-blue marble (9:56) 6

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Intuitive sense of probabilities (8:50) Intuitive sense of probabilities (8:50) 7

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The Monty Hall problem (7:23) The Monty Hall problem (7:23) 8

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Probability with counting outcomes (2:09) Probability with counting outcomes (2:09) 9

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Example: All the ways you can flip a coin (2:14) Example: All the ways you can flip a coin (2:14) 10

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Die rolling probability (5:15) Die rolling probability (5:15) 11

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Subsets of sample spaces (5:43) Subsets of sample spaces (5:43) 12

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Probability with Venn diagrams (10:01) Probability with Venn diagrams (10:01) 13

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Addition rule for probability (10:43) Addition rule for probability (10:43) 14

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Sample spaces for compound events (9:09) Sample spaces for compound events (9:09) 15

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Compound probability of independent events (6:00) Compound probability of independent events (6:00) 16

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Probability of a compound event (5:02) Probability of a compound event (5:02) 17

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"At least one" probability with coin flipping (9:20) "At least one" probability with coin flipping (9:20) 18

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Free-throw probability (7:05) Free-throw probability (7:05) 19

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Three-pointer vs free-throw probability (5:46) Three-pointer vs free-throw probability (5:46) 20

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Probability without equally likely events (8:58) Probability without equally likely events (8:58) 21

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Independent events example: test taking (4:44) Independent events example: test taking (4:44) 22

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Die rolling probability with independent events (2:28) Die rolling probability with independent events (2:28) 23

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Dependent probability introduction (6:37) Dependent probability introduction (6:37) 24

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Dependent probability: coins (9:01) Dependent probability: coins (9:01) 25

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Dependent probability example (6:34) Dependent probability example (6:34) 26

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Independent & dependent probability (2:39) Independent & dependent probability (2:39) 27

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Dependent probability (9:30) Dependent probability (9:30) 28

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Calculating conditional probability (6:43) Calculating conditional probability (6:43) 29

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Conditional probability explained visually (5:06) Conditional probability explained visually (5:06) 30

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Conditional probability tree diagram example (10:44) Conditional probability tree diagram example (10:44) 31

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Conditional probability and independence (4:07) Conditional probability and independence (4:07) 32

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Analyzing event probability for independence (6:48) Analyzing event probability for independence (6:48) 33

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Probability using combinations (9:10) Probability using combinations (9:10) 34

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Probability & combinations (2 of 2) (10:36) Probability & combinations (2 of 2) (10:36) 35

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Example: Different ways to pick officers (2:23) Example: Different ways to pick officers (2:23) 36

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Example: Combinatorics and probability (10:51) Example: Combinatorics and probability (10:51) 37

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Getting exactly two heads (combinatorics) (10:00) Getting exactly two heads (combinatorics) (10:00) 38

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Exactly three heads in five flips (6:51) Exactly three heads in five flips (6:51) 39

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Generalizing with binomial coefficients (bit advanced) (11:39) Generalizing with binomial coefficients (bit advanced) (11:39) 40

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Example: Lottery probability (5:10) Example: Lottery probability (5:10) 41

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Conditional probability and combinations (16:52) Conditional probability and combinations (16:52) 42

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Mega millions jackpot probability (5:30) Mega millions jackpot probability (5:30) 43

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Birthday probability problem (13:17) Birthday probability problem (13:17) 44

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Context Module Sub Header

Videos for GRE-specific Review 45

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Probability on the GRE (59:34) Probability on the GRE (59:34) 46

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Probability: Basic, Combination, and Estimation (1:12:02) Probability: Basic, Combination, and Estimation (1:12:02) 47

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Probability and Combinatorics (1:09:25) Probability and Combinatorics (1:09:25) 48

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Data Distributions, Random Variables, and Probability Distributions

Data Distributions, Random Variables, and Probability Distributions Data Distributions, Random Variables, and Probability Distributions

Context Module Sub Header

Intro to Data Distributions, Random Variables, and Probability Distributions 1

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Overview of Data Distributions, Random Variables, and Probability Distributions Overview of Data Distributions, Random Variables, and Probability Distributions 2

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Videos for Basic Review of Data Distributions, Random Variables, and Probability Distributions 3

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Random variables (5:32) Random variables (5:32) 4

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Discrete and continuous random variables (11:56) Discrete and continuous random variables (11:56) 5

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Constructing a probability distribution for random variable (6:47) Constructing a probability distribution for random variable (6:47) 6

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Probability models example: frozen yogurt (7:24) Probability models example: frozen yogurt (7:24) 7

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Valid discrete probability distribution examples (4:00) Valid discrete probability distribution examples (4:00) 8

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Probability with discrete random variable example (3:50) Probability with discrete random variable example (3:50) 9

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Mean (expected value) of a discrete random variable (4:32) Mean (expected value) of a discrete random variable (4:32) 10

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Variance and standard deviation of a discrete random variable (6:26) Variance and standard deviation of a discrete random variable (6:26) 11

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Probability density functions (10:02) Probability density functions (10:02) 12

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Probabilities from density curves (4:53) Probabilities from density curves (4:53) 13

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Impact of transforming (scaling and shifting) random variables (6:26) Impact of transforming (scaling and shifting) random variables (6:26) 14

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Example: Transforming a discrete random variable (4:09) Example: Transforming a discrete random variable (4:09) 15

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Mean of sum and difference of random variables (3:21) Mean of sum and difference of random variables (3:21) 16

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Variance of sum and difference of random variables (8:07) Variance of sum and difference of random variables (8:07) 17

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Deriving the variance of the difference of random variables (10:47) Deriving the variance of the difference of random variables (10:47) 18

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Example: Analyzing distribution of sum of two normally distributed random variables (5:50) Example: Analyzing distribution of sum of two normally distributed random variables (5:50) 19

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Example: Analyzing the difference in distributions (9:44) Example: Analyzing the difference in distributions (9:44) 20

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Term life insurance and death probability (4:21) Term life insurance and death probability (4:21) 21

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Getting data from expected value (9:52) Getting data from expected value (9:52) 22

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Expected profit from lottery ticket (9:18) Expected profit from lottery ticket (9:18) 23

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Expected value while fishing (8:24) Expected value while fishing (8:24) 24

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Comparing insurance with expected value (9:16) Comparing insurance with expected value (9:16) 25

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Law of large numbers (9:00) Law of large numbers (9:00) 26

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