Algebra 1 (Eureka Math/EngageNY)
Learn Algebra 1 aligned to the Eureka Math/EngageNY curriculum —linear functions and equations, exponential growth and decay, quadratics, and more.
4 units272 videos23 hours
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Unit 1: Module 1: Relationships between quantities and reasoning with equations and their graphs
Topic A: Lessons 1-3: Piecewise, quadratic, and exponential functions
Introduction to piecewise functions ✓ Check-ins3:49
Worked example: evaluating piecewise functions ✓ Check-ins4:24
Parabolas intro ✓ Check-ins8:14
Intro to exponential functions ✓ Check-ins7:41
Exponential vs. linear growth ✓ Check-ins3:05
Exponential vs. linear models: verbal ✓ Check-ins3:28
Exponential vs. linear models: table ✓ Check-ins3:26
Topic A: Lessons 4-5: Analyzing graphs
Topic B: Lesson 8: Adding and subtracting polynomials
Polynomials intro ✓ Check-ins10:48
The parts of polynomial expressions ✓ Check-ins2:36
Evaluating polynomials ✓ Check-ins1:09
Simplifying polynomials ✓ Check-ins3:37
Adding polynomials ✓ Check-ins2:01
Subtracting polynomials ✓ Check-ins2:07
Polynomial subtraction ✓ Check-ins2:50
Adding & subtracting multiple polynomials ✓ Check-ins2:27
Topic B: Lesson 8: Adding and subtracting polynomials with 2 variables
Topic B: Lesson 9: Multiplying monomials
Topic B: Lesson 9: Multiplying monomials by polynomials
Topic B: Lesson 9: Multiplying binomials
Topic C: Lessons 10-13: Solving Equations
Testing solutions to equations ✓ Check-ins3:45
Number of solutions to equations ✓ Check-ins5:28
Worked example: number of solutions to equations ✓ Check-ins1:55
Creating an equation with no solutions ✓ Check-ins1:23
Creating an equation with infinitely many solutions ✓ Check-ins1:40
Same thing to both sides of equations ✓ Check-ins2:32
Representing a relationship with an equation ✓ Check-ins3:24
Dividing both sides of an equation ✓ Check-ins3:14
Why we do the same thing to both sides: Variable on both sides ✓ Check-ins7:36
Topic C: Lesson 14: Solving inequalities
Testing solutions to inequalities ✓ Check-ins5:10
Plotting inequalities ✓ Check-ins2:07
Plotting an inequality example ✓ Check-ins1:34
One-step inequalities examples ✓ Check-ins10:27
One-step inequalities: -5c ≤ 15 ✓ Check-ins2:54
Two-step inequalities ✓ Check-ins4:32
Inequalities with variables on both sides ✓ Check-ins5:38
Inequalities with variables on both sides (with parentheses) ✓ Check-ins3:47
Multi-step inequalities ✓ Check-ins8:02
Topic C: Lessons 15-16 Compound inequalities
Topic C: Lessons 17-19: Advanced equations
Topic C: Lesson 20: Solution sets to equations with two variables
Topic C: Lesson 21: Solution sets to inequalities with two variables
Topic C: Lesson 22: Solution sets to simultaneous equations
Testing a solution to a system of equations ✓ Check-ins2:38
Systems of equations with graphing: y=7/5x-5 & y=3/5x-1 ✓ Check-ins2:22
Systems of equations with graphing: exact & approximate solutions ✓ Check-ins5:56
Testing solutions to systems of inequalities ✓ Check-ins1:15
Intro to graphing systems of inequalities ✓ Check-ins5:36
Graphing systems of inequalities ✓ Check-ins3:24
Topic C: Lesson 23: Solution sets to simultaneous equations
Systems of equations with elimination: King's cupcakes ✓ Check-ins9:00
Systems of equations with elimination: x-4y=-18 & -x+3y=11 ✓ Check-ins5:59
Systems of equations with elimination: potato chips ✓ Check-ins9:21
Systems of equations with elimination (and manipulation) ✓ Check-ins12:01
Why can we subtract one equation from the other in a system of equations? ✓ Check-ins8:13
Worked example: equivalent systems of equations ✓ Check-ins5:31
Worked example: non-equivalent systems of equations ✓ Check-ins4:30
Topic C: Lesson 24: Applications of systems of equations and inequalities
Age word problem: Imran ✓ Check-ins3:43
Age word problem: Ben & William ✓ Check-ins6:28
Age word problem: Arman & Diya ✓ Check-ins5:21
Modeling with systems of inequalities ✓ Check-ins9:45
Writing systems of inequalities word problem ✓ Check-ins4:00
Solving systems of inequalities word problem ✓ Check-ins4:25
Graphs of systems of inequalities word problem ✓ Check-ins3:35
Topic D: Creating equations to solve problems
Unit 2: Module 2: Descriptive statistics
Topic A: Lesson 1: Dot plots and histograms
Topic A: Lesson 1: Box plots and shape
Topic A: Lesson 2: Describing the center of a distribution
Topic A: Lesson 3: Estimating centers and interpreting the mean as a balance point
Topic B: Lesson 4: Summarizing deviations from the mean
Topic B: Lessons 5-6: Standard deviation and variability
Topic B: Lesson 7: Measuring variability for skewed distributions (interquartile range)
Topic B: Lesson 8: Comparing distributions
Topic C: Lessons 9-10: Bivariate categorical data
Topic C: Lesson 11: Conditional relative frequencies and association
Topic D: Lessons 12-13: Relationships between two numerical variables
Topic D: Lesson 14: Modeling relationships with a line
Topic D: Lessons 15-18: Residuals
Unit 3: Module 3: Linear and exponential functions
Topic A: Lessons 1-3: Arithmetic sequence intro
Topic A: Lessons 1-3: Geometric sequence intro
Topic A: Lessons 1-3: Arithmetic sequence formulas
Topic A: Lessons 1-3: Geometric sequence formulas
Topic A: Lessons 4-6: Exponential growth
Intro to exponential functions ✓ Check-ins7:41
Exponential vs. linear growth ✓ Check-ins3:05
Exponential vs. linear models: verbal ✓ Check-ins3:28
Exponential vs. linear models: table ✓ Check-ins3:26
Exponential expressions word problems (numerical) ✓ Check-ins4:56
Initial value & common ratio of exponential functions ✓ Check-ins5:27
Exponential expressions word problems (algebraic) ✓ Check-ins3:36
Interpreting exponential expression word problem ✓ Check-ins2:45
Topic A: Lesson 7: Exponential decay
Topic B: Lessons 8-12: Functions intro
Topic B: Lessons 8-12: Function domain and range
What is the domain of a function? ✓ Check-ins6:45
What is the range of a function? ✓ Check-ins6:39
Intervals and interval notation ✓ Check-ins9:36
Worked example: domain and range from graph ✓ Check-ins3:34
Domain of a radical function ✓ Check-ins1:47
Worked example: domain of algebraic functions ✓ Check-ins7:14
Topic B: Lessons 8-12: Recognizing functions
Topic B: Lesson 13: Interpreting the graph of a function
Increasing, decreasing, positive or negative intervals ✓ Check-ins5:56
Worked example: positive & negative intervals ✓ Check-ins1:10
Introducing minimum and maximum points ✓ Check-ins5:30
Worked example: absolute and relative extrema ✓ Check-ins4:58
Graph interpretation word problem: temperature ✓ Check-ins3:55
Graph interpretation word problem: basketball ✓ Check-ins3:50
Topic B: Lesson 14: Linear and exponential Models—comparing growth rates
Topic C: Lesson 15: Piecewise functions
Introduction to piecewise functions ✓ Check-ins3:49
Worked example: evaluating piecewise functions ✓ Check-ins4:24
Worked example: graphing piecewise functions ✓ Check-ins4:30
Worked example: domain & range of step function ✓ Check-ins2:44
Worked example: domain & range of piecewise linear functions ✓ Check-ins7:25
Unit 4: Module 4: Polynomial and quadratic expressions, equations, and functions
Topic A: Lessons 1-2: Factoring monomials
Topic A: Lessons 1-2: Common factor
Greatest common factor of monomials ✓ Check-ins3:13
Factoring with the distributive property ✓ Check-ins3:28
Taking common factor from binomial ✓ Check-ins4:58
Taking common factor from trinomial ✓ Check-ins5:54
Taking common factor: area model ✓ Check-ins5:27
Factoring polynomials: common binomial factor ✓ Check-ins1:42
Topic A: Lessons 1-2: Factoring binomials intro
Topic A: Lessons 3-4: Special forms
Factoring difference of squares: leading coefficient ≠ 1 ✓ Check-ins2:23
Factoring difference of squares: analyzing factorization ✓ Check-ins3:09
Factoring difference of squares: missing values ✓ Check-ins5:50
Factoring difference of squares: shared factors ✓ Check-ins4:23
Factoring perfect squares ✓ Check-ins4:54
Identifying perfect square form ✓ Check-ins4:37
Factoring higher degree polynomials: Common factor ✓ Check-ins3:39
Factoring perfect squares: negative common factor ✓ Check-ins3:52
Factoring perfect squares: missing values ✓ Check-ins2:39
Factoring perfect squares: shared factors ✓ Check-ins4:26
Topic A: Lessons 3-4: Factoring by grouping
Topic A: Lesson 5: The zero product property
Topic A: Lessons 6-7: Solving basic one-variable quadratic equations
Solving quadratics by taking square roots ✓ Check-ins2:18
Solving quadratics by taking square roots examples ✓ Check-ins5:12
Solving quadratics by taking square roots: with steps ✓ Check-ins4:25
Quadratics by taking square roots: strategy ✓ Check-ins1:45
Quadratic equations word problem: triangle dimensions ✓ Check-ins8:21
Quadratic equations word problem: box dimensions ✓ Check-ins5:54
Topic A: Lessons 8-10: Parabolas intro
Topic B: Lessons 11-13: Completing the square
Completing the square ✓ Check-ins14:06
Worked example: Completing the square (intro) ✓ Check-ins3:22
Worked example: Rewriting expressions by completing the square ✓ Check-ins3:02
Worked example: Rewriting & solving equations by completing the square ✓ Check-ins6:19
Worked example: completing the square (leading coefficient ≠ 1) ✓ Check-ins5:44
Solving quadratics by completing the square: no solution ✓ Check-ins5:24
Topic B: Lessons 14-15: The quadratic formula
The quadratic formula ✓ Check-ins16:32
Using the quadratic formula ✓ Check-ins5:34
Worked example: quadratic formula ✓ Check-ins2:21
Worked example: quadratic formula (example 2) ✓ Check-ins6:40
Worked example: quadratic formula (negative coefficients) ✓ Check-ins4:51
Using the quadratic formula: number of solutions ✓ Check-ins4:59
Proof of the quadratic formula ✓ Check-ins7:44
Topic B: Lesson 16: Graphing quadratic equations from the vertex form
Topic B: Lesson 17: Graphing quadratic functions from the standard form
Finding the vertex of a parabola in standard form ✓ Check-ins5:40
Graphing quadratics: standard form ✓ Check-ins4:41
Quadratic word problem: ball ✓ Check-ins5:53
Forms & features of quadratic functions ✓ Check-ins8:29
Worked examples: Forms & features of quadratic functions ✓ Check-ins6:42
Finding features of quadratic functions ✓ Check-ins8:23
Topic C: Lessons 18-19: Translating graphs of functions
Topic C: Lessons 20-22: Scaling and transforming graphs
Scaling & reflecting parabolas ✓ Check-ins4:45
Identifying function transformations ✓ Check-ins6:40
Identifying horizontal squash from graph ✓ Check-ins3:16
Reflecting & compressing functions ✓ Check-ins4:21
Transforming the square-root function ✓ Check-ins ✎ Fixed a slip7:15
Graphs of square-root functions ✓ Check-ins ✎ Fixed a slip15:01
Square-root functions & their graphs ✓ Check-ins3:42
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