Algebra 2 (Eureka Math/EngageNY)
Learn Algebra 2 aligned to the Eureka Math/EngageNY curriculum —polynomials, rational functions, trigonometry, and more.
4 units267 videos27 hours
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Unit 1: Module 1: Polynomial, rational, and radical relationships
Topic A: Polynomials—from base ten to base X
Multiplying binomials by polynomials: area model ✓ Check-ins6:30
Multiplying binomials by polynomials ✓ Check-ins2:34
Intro to long division of polynomials ✓ Check-ins12:09
Dividing polynomials: long division ✓ Check-ins3:20
Divide polynomials by x (with remainders) ✓ Check-ins4:45
Divide polynomials by monomials (with remainders) ✓ Check-ins2:41
Dividing polynomials with remainders ✓ Check-ins ✎ Fixed a slip6:23
Simplifying square roots ✓ Check-ins3:09
Simplifying square roots (variables) ✓ Check-ins4:16
Topic B: Lessons 12-13: Factorization
Factoring quadratics: common factor + grouping ✓ Check-ins4:46
Factoring quadratics: negative common factor + grouping ✓ Check-ins5:17
Factoring two-variable quadratics ✓ Check-ins6:11
Factoring two-variable quadratics: rearranging ✓ Check-ins2:46
Factoring two-variable quadratics: grouping ✓ Check-ins3:46
Factoring using the perfect square pattern ✓ Check-ins2:25
Factoring using the difference of squares pattern ✓ Check-ins1:49
Factoring difference of squares: two variables (example 2) ✓ Check-ins2:30
Factoring higher-degree polynomials ✓ Check-ins8:02
Factoring sum of cubes ✓ Check-ins4:46
Factoring difference of cubes ✓ Check-ins4:12
Finding zeros of polynomials (1 of 2) ✓ Check-ins9:09
Finding zeros of polynomials (2 of 2) ✓ Check-ins3:00
Finding zeros of polynomials (example 2) ✓ Check-ins ✎ Fixed a slip6:45
Topic B: Lesson 14: Graphing factored polynomials
Topic B: Lesson 15: Structure in graphs of polynomial functions
Topic B: Lessons 16-21: Remainder theorem and modeling
Topic C: Lessons 22-23: Simplifying rational expressions
Reducing rational expressions to lowest terms ✓ Check-ins15:22
Simplifying rational expressions: common monomial factors ✓ Check-ins6:59
Simplifying rational expressions: common binomial factors ✓ Check-ins4:11
Simplifying rational expressions: opposite common binomial factors ✓ Check-ins3:53
Simplifying rational expressions: grouping ✓ Check-ins6:42
Simplifying rational expressions: higher degree terms ✓ Check-ins5:53
Simplifying rational expressions: two variables ✓ Check-ins6:11
Topic C: Lesson 24: Multiplying and dividing rational expressions
Multiplying & dividing rational expressions: monomials ✓ Check-ins5:56
Multiplying rational expressions ✓ Check-ins4:52
Dividing rational expressions ✓ Check-ins ✎ Fixed a slip4:10
Multiplying rational expressions: multiple variables ✓ Check-ins3:38
Dividing rational expressions: unknown expression ✓ Check-ins6:02
Topic C: Lesson 25: Adding and subtracting rational expressions
Adding & subtracting rational expressions: like denominators ✓ Check-ins3:45
Intro to adding rational expressions with unlike denominators ✓ Check-ins2:44
Adding rational expression: unlike denominators ✓ Check-ins5:11
Subtracting rational expressions: unlike denominators ✓ Check-ins4:47
Least common multiple ✓ Check-ins4:16
Least common multiple: repeating factors ✓ Check-ins2:35
Subtracting rational expressions: factored denominators ✓ Check-ins4:48
Least common multiple of polynomials ✓ Check-ins6:52
Subtracting rational expressions ✓ Check-ins4:36
Nested fractions ✓ Check-ins5:46
Topic C: Lessons 26-27: Rational equations
Rational equations intro ✓ Check-ins3:12
Equations with one rational expression (advanced) ✓ Check-ins4:32
Equations with rational expressions ✓ Check-ins5:12
Equations with rational expressions (example 2) ✓ Check-ins7:12
Rational equations word problem: combined rates ✓ Check-ins5:26
Rational equations word problem: combined rates (example 2) ✓ Check-ins6:00
Rational equations word problem: eliminating solutions ✓ Check-ins7:59
Combining mixtures example ✓ Check-ins5:48
Topic C: Lessons 28-29: Radical equations
Intro to square-root equations & extraneous solutions ✓ Check-ins11:10
Solving square-root equations: one solution ✓ Check-ins3:11
Solving square-root equations: two solutions ✓ Check-ins5:29
Solving square-root equations: no solution ✓ Check-ins3:59
Square-root equations intro ✓ Check-ins5:23
Equation that has a specific extraneous solution ✓ Check-ins4:57
Solving cube-root equations ✓ Check-ins3:34
Topic C: Lesson 30: Linear systems in three variables
Topic C: Lesson 31: Systems of equations
Topic C: Lesson 32: Graphing systems of equations
Topic C: Lessons 33-35: Parabolas
Topic D: Lesson 37: Complex numbers intro
Topic D: Lesson 37: Complex number operations
Topic D: Lessons 38-40: Complex roots and the fundamental theorem of algebra
Solving quadratic equations: complex roots ✓ Check-ins10:15
Complex numbers & sum of squares factorization ✓ Check-ins4:51
Factoring sum of squares ✓ Check-ins2:32
The Fundamental theorem of Algebra ✓ Check-ins5:34
Quadratics & the Fundamental Theorem of Algebra ✓ Check-ins6:35
Number of possible real roots of a polynomial ✓ Check-ins3:46
Unit 2: Module 2: Trigonometric functions
Topic A: Lessons 1-7: Unit circle definition of trig functions
Unit circle ✓ Check-ins9:04
The trig functions & right triangle trig ratios ✓ Check-ins6:57
Trig values of π/4 ✓ Check-ins7:54
Sine & cosine identities: symmetry ✓ Check-ins7:58
Sine & cosine identities: periodicity ✓ Check-ins6:13
Tangent identities: symmetry ✓ Check-ins7:15
Tangent identities: periodicity ✓ Check-ins4:02
Finding reciprocal trig ratios ✓ Check-ins4:45
Using reciprocal trig ratios ✓ Check-ins6:12
Topic A: Lessons 8-10: Trigonometric graphs and radians
Topic B: Lesson 11: Graphing sinusoidal functions
Topic B: Lesson 11: Features of sinusoidal graphs
Topic B: Lessons 12-13: Modeling with sinusoidal functions
Topic B: Lesson 14: Graphing the tangent function
Topic B: Lessons 15-17: Trigonometric identities
Proof of the Pythagorean trig identity ✓ Check-ins6:12
Using the Pythagorean trig identity ✓ Check-ins6:15
Trig angle addition identities ✓ Check-ins11:07
Using the cosine angle addition identity ✓ Check-ins5:14
Using the cosine double-angle identity ✓ Check-ins3:28
Proof of the sine angle addition identity ✓ Check-ins8:26
Proof of the cosine angle addition identity ✓ Check-ins6:02
Unit 3: Module 3: Exponential and logarithmic functions
Topic A: Lesson 1: Integer exponents
Topic A: Lesson 2: Scientific notation
Scientific notation example: 0.0000000003457 ✓ Check-ins4:12
Scientific notation examples ✓ Check-ins11:26
Multiplying & dividing in scientific notation ✓ Check-ins2:53
Multiplying three numbers in scientific notation ✓ Check-ins7:35
Subtracting in scientific notation ✓ Check-ins4:13
Scientific notation word problem: red blood cells ✓ Check-ins4:46
Scientific notation word problem: U.S. national debt ✓ Check-ins6:21
Scientific notation word problem: speed of light ✓ Check-ins4:27
Topic A: Lessons 3-6: Rational exponents
Topic B: Lessons 7-9: Logarithms intro
Topic B: Lessons 10-12: Logarithm properties
Intro to logarithm properties (1 of 2) ✓ Check-ins9:16
Intro to logarithm properties (2 of 2) ✓ Check-ins10:04
Using the logarithmic product rule ✓ Check-ins5:04
Using the logarithmic power rule ✓ Check-ins4:49
Using the properties of logarithms: multiple steps ✓ Check-ins2:10
Proof of the logarithm product rule ✓ Check-ins7:08
Proof of the logarithm quotient and power rules ✓ Check-ins7:59
Topic B: Lesson 13: Changing the base
Topic B: Lessons 13-15: Logarithms and equations
Topic C: Lesson 16: Rational and Irrational Numbers
Approximating square roots ✓ Check-ins4:48
Comparing irrational numbers with radicals ✓ Check-ins5:29
Approximating square roots to hundredths ✓ Check-ins7:12
Comparing values with calculator ✓ Check-ins4:01
Proof: sum & product of two rationals is rational ✓ Check-ins2:46
Proof: product of rational & irrational is irrational ✓ Check-ins3:15
Proof: sum of rational & irrational is irrational ✓ Check-ins3:24
Sums and products of irrational numbers ✓ Check-ins5:57
Worked example: rational vs. irrational expressions ✓ Check-ins2:36
Worked example: rational vs. irrational expressions (unknowns) ✓ Check-ins6:26
Topic C: Lessons 17-22: Graphs of exponential and logarithmic functions
Relationship between exponentials & logarithms ✓ Check-ins1:42
Relationship between exponentials & logarithms: graphs ✓ Check-ins4:10
Relationship between exponentials & logarithms: tables ✓ Check-ins5:59
Transforming exponential graphs ✓ Check-ins3:05
Transforming exponential graphs (example 2) ✓ Check-ins5:18
Graphing exponential functions ✓ Check-ins3:15
Graphical relationship between 2ˣ and log₂(x) ✓ Check-ins5:42
Shape of a logarithmic parent graph ✓ Check-ins9:10
Graphs of logarithmic functions ✓ Check-ins6:28
Topic D: Lessons 23-24: Solving exponential models
Topic D: Lessons 25-28: Modeling with exponential functions
Interpreting change in exponential models ✓ Check-ins6:54
Interpreting time in exponential models ✓ Check-ins6:43
Constructing exponential models ✓ Check-ins3:48
Constructing exponential models: half life ✓ Check-ins4:18
Constructing exponential models: percent change ✓ Check-ins4:52
Interpreting change in exponential models: with manipulation ✓ Check-ins4:21
Interpreting change in exponential models: changing units ✓ Check-ins4:22
Topic E: Lesson 29: Geometric series
Understanding summation notation ✓ Check-ins4:27
Geometric series intro ✓ Check-ins2:53
Geometric series with sigma notation ✓ Check-ins4:28
Finite geometric series formula ✓ Check-ins7:15
Worked example: finite geometric series (sigma notation) ✓ Check-ins2:48
Worked examples: finite geometric series ✓ Check-ins6:55
Finite geometric series word problem: social media ✓ Check-ins8:03
Finite geometric series word problem: mortgage ✓ Check-ins17:36
Topic E: Lesson 29: Arithmetic series
Arithmetic series intro ✓ Check-ins3:56
Arithmetic series formula ✓ Check-ins7:47
Worked example: arithmetic series (sigma notation) ✓ Check-ins7:02
Worked example: arithmetic series (sum expression) ✓ Check-ins6:47
Worked example: arithmetic series (recursive formula) ✓ Check-ins5:21
Proof of finite arithmetic series formula ✓ Check-ins3:32
Unit 4: Module 4: Inferences and conclusions from data
Topic A: Lesson 1: Chance experiments, sample spaces, and events
Topic A: Lessons 2-4: Two-way tables, conditional probability, and independence
Topic A: Lessons 5-7: Venn diagrams and probability rules
Intersection and union of sets ✓ Check-ins7:44
Compound probability of independent events ✓ Check-ins6:00
Independent events example: test taking ✓ Check-ins4:44
"At least one" probability with coin flipping ✓ Check-ins9:20
Probability with Venn diagrams ✓ Check-ins10:02
Addition rule for probability ✓ Check-ins10:43
Topic B: Lesson 8: Distributions—Center, shape, and spread
Shapes of distributions ✓ Check-ins5:07
Comparing means of distributions ✓ Check-ins ✎ Fixed a slip7:49
Means and medians of different distributions ✓ Check-ins6:29
Mean and standard deviation versus median and IQR ✓ Check-ins7:59
Population standard deviation ✓ Check-ins8:05
Sample standard deviation and bias ✓ Check-ins9:33
Topic B: Lesson 9: Using a curve to model a data distribution
Topic B: Lessons 10-11: Normal distributions
Normal distribution problem: z-scores (from ck12.org) ✓ Check-ins ✎ Fixed a slip7:48
Comparing with z-scores ✓ Check-ins3:30
Qualitative sense of normal distributions ✓ Check-ins10:53
Normal distribution problems: Empirical rule ✓ Check-ins10:25
Standard normal table for proportion below ✓ Check-ins4:20
Standard normal table for proportion above ✓ Check-ins5:07
Standard normal table for proportion between values ✓ Check-ins7:10
Topic C: Lesson 12: Types of statistical studies
Topic C: Lesson 13: Using sample data to estimate a population characteristic
Topic C: Lessons 14-17: Sample proportions, sampling variability, margin of error
Topic C: Lessons 18-19: Sampling variability in the sample mean
Topic C: Lessons 20-22: Margin of error with sample means; evaluating reports with sample data
Topic D: Lesson 23: Experiments and the role of random assignment
Topic D: Lessons 24-27: Ruling out differences due to random assignment
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