Overview and history of algebra

Lesson

Origins of algebra 

Video 

Abstract-ness

Video 

The beauty of algebra 

Video 

Creativity break: Why is creativity important in algebra?

Video

Intro to the coordinate plane 

Video 

Why all the letters in algebra?

Video 

Introduction to variables

Lesson

What is a variable?

Video 

Why aren't we using the multiplication sign?

Video

Creativity break: Why is creativity important in STEM jobs?

Video 

Evaluating an expression with one variable 

Video 

Evaluating expressions with one variable

Article

Evaluating expressions with one variable

Exercise - login for the assignment 

Substitution and evaluating expressions

Lesson

Evaluating expressions with two variables

Video 

Evaluating expressions with two variables

Article

Evaluating expressions with multiple variables

Exercise

Evaluating expressions with two variables: fractions & decimals

Video 

Evaluating expressions with two variables: fractions & decimals

Article

Evaluating expressions with multiple variables: fractions & decimals

Exercise 

Algebra Foundations: Quiz 1

Quiz 

Due September 13, 2024

Combining like terms

Lesson

Intro to combining like terms video

Combining like terms with negative coefficients & distribution video 

Combining like terms with negative coefficients

Video 

Combining like terms with negative coefficients

Exercise 

Combining like terms with negative coefficients & distribution exercise 

Combining like terms with rational coefficients

Video 

Combining like terms with rational coefficients

Exercise 

Introduction to equivalent expressions

Lesson

Equivalent expressions

Video

Equivalent expressions

Exercise 

Algebra foundations: Quiz 2

Quiz 

Due September 27, 2024 

Division by zero

Lesson

Why dividing by zero is undefined

Video 

The problem with dividing zero by zero video 

Undefined & indeterminate expressions

Video 

Algebra foundations: FAQ

Article

Algebra foundations: Unit test unit Test 

Due October 4, 2024

Linear equations with variables on both sides

Lesson

Why we do the same thing to both sides: Variable on both sides

Video 

Intro to equations with variables on both sides

Video ·

Equations with variables on both sides: 20-7x=6x-6

Video 

Equations with variables on both sides

Exercise 

Equation with variables on both sides: fractions

Video

Equations with variables on both sides: decimals & fractions

Exercise

Equation with the variable in the denominator

Video

Linear equations with parentheses

Lesson

Equations with parentheses

Video

Equations with parentheses

Exercise

Equations with parentheses: decimals & fractions

Exercise 

Reasoning with linear equations

Video 

Reasoning with linear equations

Exercise

Multi-step equations review

Article

Solving equations & inequalities: Quiz 1

Quiz 

Analyzing the number of solutions to linear equations

Lesson

Number of solutions to equations

Video 

Worked example: number of solutions to equations

Video 

Number of solutions to equations

Exercise 

Creating an equation with no solutions

Video

Creating an equation with infinitely many solutions

Video 

Number of solutions to equations challenge

Exercise 

Linear equations with unknown coefficients

Lesson

Linear equations with unknown coefficients

Video 

Linear equations with unknown coefficients

Exercise 

Why is algebra important to learn?

Video 

Solving equations & inequalities: Quiz 2

Quiz

Due November 01, 2024

Multi-step inequalities

Lesson

Inequalities with variables on both sides

Video 

Inequalities with variables on both sides (with parentheses)

Video 

Multi-step inequalities

Video 

Multi-step linear inequalities

Exercise 

Using inequalities to solve problems

Video

Using inequalities to solve problems

Exercise 

Compound inequalities

Lesson

Compound inequalities: OR

Video 

Compound inequalities: AND

Video 

Compound inequalities

Exercise 

A compound inequality with no solution

Video 

Double inequalities

Video 

Compound inequalities examples

Video 

Compound inequalities review

Article

Solving equations & inequalities: FAQ

Article

Solving equations & inequalities: Quiz 3

Quiz

Due November 15, 2024

Solving equations & inequalities: Unit test

Unit Test · 9 questions

Due November 15, 2024

Two-variable linear equations intro

Lesson

Two-variable linear equations intro

Video

Solutions to 2-variable equations

Video 

Worked example: solutions to 2-variable equations

Video

Solutions to 2-variable equations

Exercise 

Completing solutions to 2-variable equations

Video 

Complete solutions to 2-variable equations

Exercise 

Intro to slope

Video 

Positive & negative slope

Video 

Worked example: slope from graph

Video

Slope from graph

Exercise 

Graphing a line given point and slope

Video 

Graphing from slope

Exercise

Calculating slope from tables

Video 

Slope in a table

Exercise 

Worked example: slope from two points

Video

Slope from two points

Exercise

Slope review

Article

Linear equations & graphs: Quiz 1

Quiz 

Due November 29, 2024

Slope of a horizontal line

Video 

Horizontal & vertical lines

Video 

Horizontal & vertical lines

Exercise 

x-intercepts and y-intercepts

Lesson

Intro to intercepts

Video 

x-intercept of a line

Video 

Intercepts from a graph

Exercise

Intercepts from an equation

Video 

Intercepts from an equation

Exercise 

Intercepts from a table

Video 

Intercepts from a table

Exercise

Intercepts of lines review (x-intercepts and y-intercepts)

Article

Linear equations & graphs: Quiz 2

Quiz 

Due December 13, 2024

Applying intercepts and slope

Lesson

Slope, x-intercept, y-intercept meaning in context

Video 

Slope and intercept meaning in context

Video 

Relating linear contexts to graph features

Exercise

Using slope and intercepts in context

Exercise

Slope and intercept meaning from a table

Video 

Finding slope and intercepts from tables

Video

Linear equations word problems: tables

Exercise

Linear equations word problems: graphs

Exercise

Linear functions word problem: fuel

Video

Graphing linear relationships word problems

Exercise 

Modeling with linear equations and inequalities

Lesson

Comparing linear rates example

Video 

Comparing linear rates word problems

Exercise 

Linear equations & graphs: FAQ

Article

Creativity break: How do you apply creativity in algebra

Video 

Linear equations & graphs: Quiz 3

Quiz 

Due January 03, 2025

Linear equations & graphs: Unit test

Unit Test · 16 questions

Due January 03, 2025

Intro to slope-intercept form

Lesson

Intro to slope-intercept form

Video 

Intro to slope-intercept form

Article

Slope and y-intercept from equation

Video 

Worked examples: slope-intercept intro

Video 

Slope-intercept intro

Exercise 

Linear equation word problems

Video 

Linear equations word problems

Exercise

Graphing slope-intercept equations

Lesson

Graph from slope-intercept equation

Video 

Graphing slope-intercept form

Article

Graph from slope-intercept form

Exercise 

Graphing lines from slope-intercept form review

Article

Forms of linear equations: Quiz 1

Quiz 

Due January 24, 2025

Writing slope-intercept equations

Lesson

Slope-intercept equation from graph

Video 

Writing slope-intercept equations

Article

Slope-intercept equation from graph

Exercise

Slope-intercept equation from slope & point

Video 

Slope-intercept equation from two points

Video 

Slope-intercept from two points

Exercise 

Constructing linear equations from context

Video 

Writing linear equations word problems

Exercise 

Slope-intercept form review

Article

Forms of linear equations: Quiz 2

Quiz 

Due January 31, 2025

Point-slope form

Lesson

Intro to point-slope form

Video

Point-slope & slope-intercept equations

Video 

Point-slope form

Exercise

Point-slope form review

Article

Standard form

Lesson

Intro to linear equation standard form

Video

Graphing a linear equation: 5x+2y=20

Video 

Clarifying standard form rules

Video

Graph from linear standard form

Exercise 

Converting from slope-intercept to standard form

Video

Convert linear equations to standard form

Exercise 

Standard form review

Article

Summary: Forms of two-variable linear equations

Lesson

Forms of linear equations: Quiz 3

Quiz

Due February 14, 2025

Forms of linear equations: Unit test

Unit Test 

Due February 14, 2025

Introduction to systems of equations

Lesson

Systems of equations: trolls, tolls (1 of 2)

Video

Systems of equations: trolls, tolls (2 of 2)

Video

Testing a solution to a system of equations

Video

Solutions of systems of equations

Exercise

Systems of equations with graphing: y=7/5x-5 & y=3/5x-1

Video 

Systems of equations with graphing: exact & approximate solutions

Video 

Systems of equations with graphing

Exercise

Setting up a system of equations from context example (pet weights)

Video

Setting up a system of linear equations example (weight and price)

Video

Creating systems in context

Exercise

Interpreting points in context of graphs of systems

Video 

Interpret points relative to a system

Exercise

Systems of equations: Quiz 1

Quiz 

Due February 28, 2025

Solving systems of equations with substitution

Lesson

Systems of equations with substitution: potato chips

Video ·

Systems of equations with substitution: -3x-4y=-2 & y=2x-5

Video 

Systems of equations with substitution

Exercise

Substitution method review (systems of equations)

Article

Solving systems of equations with elimination

Lesson

Systems of equations with elimination: King's cupcakes

Video

Elimination strategies

Video

Combining equations

Exercise 

Elimination strategies

Exercise

Systems of equations with elimination: x-4y=-18 & -x+3y=11

Video

Systems of equations with elimination

Exercise 

Systems of equations with elimination: potato chips

Video 

Systems of equations with elimination (and manipulation)

Video ·

Systems of equations with elimination challenge

Exercise 

Elimination method review (systems of linear equations)

Article

Equivalent systems of equations

Lesson

Why can we subtract one equation from the other in a system of equations?

Video 

Worked example: equivalent systems of equations

Video 

Worked example: non-equivalent systems of equations

Video 

Reasoning with systems of equations

Video

Reasoning with systems of equations

Exercise 

Equivalent systems of equations review

Article

Systems of equations: Quiz 2

Quiz 

Due March 14, 2025

Number of solutions to systems of equations

Lesson

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

Video 

Systems of equations number of solutions: fruit prices (2 of 2)

Video 

Solutions to systems of equations: consistent vs. inconsistent

Video 

Solutions to systems of equations: dependent vs. independent

Video

Number of solutions to a system of equations

Video

Number of solutions to a system of equations graphically

Video 

Number of solutions to a system of equations graphically

Exercise 

Number of solutions to a system of equations algebraically

Video 

Number of solutions to a system of equations algebraically

Exercise 

How many solutions does a system of linear equations have if there are at least two?

Video 

Number of solutions to system of equations review

Article

Systems of equations word problems

Lesson

Age word problem: Imran

Video 

Age word problem: Ben & William

Video

Age word problem: Arman & Diya

Video 

Age word problems

Exercise

System of equations word problem: walk & ride

Video 

Systems of equations word problems

Exercise

System of equations word problem: no solution

Video 

System of equations word problem: infinite solutions

Video 

Systems of equations word problems (with zero and infinite solutions)

Exercise 

Systems of equations with elimination: TV & DVD

Video 

Systems of equations with elimination: apples and oranges

Video 

Systems of equations with substitution: coins

Video 

Systems of equations with elimination: coffee and croissants

Video 

Systems of equations: FAQ

Article

Systems of equations: Quiz 3

Quiz 

Due March 28, 2025

Systems of equations: Unit test

Unit Test

Due March 28, 2025

Checking solutions of two-variable inequalities

Lesson

Testing solutions to inequalities

Video 

Solutions of inequalities: algebraic

Exercise 

Solutions of inequalities: graphical

Exercise 

Testing solutions to systems of inequalities

Video 

Solutions of systems of inequalities

Exercise 

Inequalities (systems & graphs): Quiz 1

Quiz 

Due April 11, 2025

Graphing two-variable inequalities

Lesson

Intro to graphing two-variable inequalities

Video 

Graphing two-variable inequalities

Video 

Graphs of inequalities

Exercise 

Two-variable inequalities from their graphs

Video

Two-variable inequalities from their graphs

Exercise

Intro to graphing systems of inequalities

Video

Graphing systems of inequalities

Video 

Systems of inequalities graphs

Exercise 

Graphing inequalities (x-y plane) review

Article

Inequalities (systems & graphs): Quiz 2

Quiz 

Due April 18, 2025

Modeling with linear inequalities

Lesson

Writing two-variable inequalities word problem

Video 

Solving two-variable inequalities word problem

Video

Interpreting two-variable inequalities word problem

Video 

Two-variable inequalities word problems

Exercise

Modeling with systems of inequalities

Video · 9 minutes

Writing systems of inequalities word problem

Video 

Solving systems of inequalities word problem

Video

Graphs of systems of inequalities word problem

Video 

Systems of inequalities word problems

Exercise 

Graphs of two-variable inequalities word problem

Video

Inequalities (systems & graphs): FAQ

Article

Creativity break: What can we do to expand our creative skills?

Video 

Inequalities (systems & graphs): Quiz 3

Quiz

Due April 25, 2025

Inequalities (systems & graphs): Unit test

Unit Test 

Due April 25, 2025

Evaluating functions

Lesson

What is a function?

Video 

Worked example: Evaluating functions from equation

Video 

Evaluate functions

Exercise 

Worked example: Evaluating functions from graph

Video 

Evaluating discrete functions

Video 

Evaluate functions from their graph

Exercise 

Worked example: evaluating expressions with function notation

Video 

Evaluate function expressions

Exercise 

Inputs and outputs of a function

Lesson

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

Video 

Function inputs & outputs: equation

Exercise 

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

Video 

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

Video 

Function inputs & outputs: graph

Exercise

Functions: Quiz 1

Quiz ·

Due May 9, 2025

Functions and equations

Lesson

Equations vs. functions

Video

Obtaining a function from an equation

Video 

Function rules from equations

Exercise 

Interpreting function notation

Lesson

Function notation word problem: bank

Video

Function notation word problem: beach

Video

Function notation word problems

Exercise 

Introduction to the domain and range of a function

Lesson

Intervals and interval notation

Video

What is the domain of a function?

Video

What is the range of a function?

Video

Worked example: domain and range from graph

Video 

Domain and range from graph

Exercise 

Functions: Quiz 2

Quiz

Determining the domain of a function

Lesson

Determining whether values are in domain of function

Video

Identifying values in the domain

Exercise

Examples finding the domain of functions

Video 

Determine the domain of functions

Exercise 

Worked example: determining domain word problem (real numbers)

Video

Worked example: determining domain word problem (positive integers)

Video 

Worked example: determining domain word problem (all integers)

Video

Function domain word problems

Exercise 

Recognizing functions

Lesson

Recognizing functions from graph

Video 

Does a vertical line represent a function?

Video 

Recognize functions from graphs

Exercise

Recognizing functions from table

Video 

Recognize functions from tables

Exercise 

Recognizing functions from verbal description

Video ·

Recognizing functions from verbal description word problem

Video 

Functions: Quiz 3

Quiz

Due May 16, 2025

Maximum and minimum points

Lesson

Introduction to minimum and maximum points

Video 

Worked example: absolute and relative extrema

Video 

Relative maxima and minima

Exercise

Absolute maxima and minima

Exercise ·

Intervals where a function is positive, negative, increasing, or decreasing

Lesson

Increasing, decreasing, positive or negative intervals

Video 

Worked example: positive & negative intervals

Video 

Positive and negative intervals

Exercise

Increasing and decreasing intervals

Exercise

Interpreting features of graphs

Lesson

Graph interpretation word problem: temperature

Video 

Graph interpretation word problem: basketball

Video

Graph interpretation word problems

Exercise 

Creativity break: How can people get creative in algebra

Video 

Functions: Quiz 4

Quiz

Due May 23, 2025

Average rate of change

Lesson

Introduction to average rate of change

Video 

Worked example: average rate of change from graph

Video

Worked example: average rate of change from table

Video 

Average rate of change: graphs & tables

Exercise 

Average rate of change word problems

Lesson

Average rate of change word problem: table

Video 

Average rate of change word problem: graph

Video

Average rate of change word problems

Exercise

Average rate of change review

Article

Intro to inverse functions

Lesson

Intro to inverse functions

Video 

Intro to inverse functions

Article

Inputs & outputs of inverse functions

Video 

Graphing the inverse of a linear function

Video 

Evaluate inverse functions

Exercise 

Finding inverse functions: linear

Video 

Finding inverses of linear functions

Exercise

Functions: FAQ

Article

Functions: Quiz 5

Quiz ·

Due May 30, 2025

Functions: Unit test

Unit Test 

Due June 6, 2025

Introduction to arithmetic sequences

Lesson

Sequences intro

Video

Intro to arithmetic sequences

Video 

Intro to arithmetic sequences

Article

Extending arithmetic sequences

Video 

Extend arithmetic sequences

Exercise

Using arithmetic sequences formulas

Video

Intro to arithmetic sequence formulas

Article

Worked example: using recursive formula for arithmetic sequence

Video

Use arithmetic sequence formulas

Exercise

Constructing arithmetic sequences

Lesson

Recursive formulas for arithmetic sequences

Video 

Recursive formulas for arithmetic sequences

Article

Recursive formulas for arithmetic sequences

Exercise

Explicit formulas for arithmetic sequences

Video 

Explicit formulas for arithmetic sequences

Article

Explicit formulas for arithmetic sequences

Exercise 

Arithmetic sequence problem

Video 

Converting recursive & explicit forms of arithmetic sequences

Video 

Converting recursive & explicit forms of arithmetic sequences

Article

Converting recursive & explicit forms of arithmetic sequences

Exercise

Arithmetic sequences review

Article

Sequences: Quiz 1

Quiz 

Absolute value & piecewise functions

Unit

Graphs of absolute value functions

Lesson

Shifting absolute value graphs

Video

Shift absolute value graphs

Exercise

Scaling & reflecting absolute value functions: equation

Video 

Scaling & reflecting absolute value functions: graph

Video

Scale & reflect absolute value graphs

Exercise

Graphing absolute value functions

Video

Graph absolute value functions

Exercise

Absolute value graphs review

Article

Absolute value & piecewise functions: Quiz 1

Quiz

Piecewise functions

Lesson

Introduction to piecewise functions

Video

Worked example: evaluating piecewise functions

Video

Evaluate piecewise functions

Exercise 

Evaluate step functions

Exercise 

Worked example: graphing piecewise functions

Video

Piecewise functions graphs

Exercise

Worked example: domain & range of step function

Video 

Worked example: domain & range of piecewise linear functions

Video 

Absolute value & piecewise functions: FAQ

Article

Absolute value & piecewise functions: Quiz 2

Quiz

Absolute value & piecewise functions: Unit test

Unit Test · 9 questions

Exponents & radicals

Unit

Exponent properties review

Lesson

Multiplying & dividing powers (integer exponents)

Video 

Multiply & divide powers (integer exponents)

Exercise

Powers of products & quotients (integer exponents)

Video

Powers of products & quotients (integer exponents)

Exercise 

Properties of exponents challenge (integer exponents)

Exercise

Exponents & radicals: Quiz 1

Quiz

Radicals

Lesson

Intro to square roots

Video

Understanding square roots

Video

Square roots

Exercise

Square root of decimal

Video 

Roots of decimals & fractions

Exercise 

Intro to cube roots

Video 

Cube roots

Exercise

5th roots

Video 

Higher order roots

Article

Exponents & radicals: Quiz 2

Quiz 

Simplifying square roots

Lesson

Simplifying square roots

Video

Simplify square roots

Exercise

Simplifying square roots (variables)

Video

Simplify square roots (variables)

Exercise

Simplifying square-root expressions

Video 

Simplify square-root expressions

Exercise 

Simplifying square roots review

Article

Exponents & radicals: FAQ

Article

Exponents & radicals: Quiz 3

Quiz 

Exponents & radicals: Unit test

Unit Test

Exponential growth & decay

Unit

Exponential vs. linear growth

Lesson

Intro to exponential functions

Video 

Exponential vs. linear growth

Video 

Warmup: exponential vs. linear growth

Article

Exponential vs. linear growth

Exercise 

Exponential vs. linear models: verbal

Video 

Exponential vs. linear models: table

Video

Exponential vs. linear models

Exercise

Exponential expressions

Lesson

Exponential expressions word problems (numerical)

Video 

Exponential expressions word problems (numerical)

Exercise

Initial value & common ratio of exponential functions

Video

Exponential expressions word problems (algebraic)

Video 

Exponential expressions word problems (algebraic)

Exercise 

Interpreting exponential expression word problem

Video 

Interpret exponential expressions word problems

Exercise 

Exponential growth & decay: Quiz 1

Quiz

Graphs of exponential growth

Lesson

Exponential function graph

Video

Graphs of exponential growth

Video 

Graphs of exponential growth

Exercise 

Exponential vs. linear growth over time

Lesson

Exponential vs. linear growth over time

Video

Exponential vs. linear growth over time

Exercise

Exponential growth & decay

Lesson

Exponential decay intro

Video 

Exponential growth vs. decay

Exercise 

Graphing exponential growth & decay

Video 

Graphing exponential growth & decay

Exercise 

Writing functions with exponential decay

Video

Writing functions with exponential decay

Exercise

Exponential growth & decay: Quiz 2

Quiz

Exponential functions from tables & graphs

Lesson

Writing exponential functions

Video 

Writing exponential functions from tables

Video

Exponential functions from tables & graphs

Exercise 

Writing exponential functions from graphs

Video

Analyzing tables of exponential functions

Video

Analyzing graphs of exponential functions

Video

Analyzing graphs of exponential functions: negative initial value

Video 

Modeling with basic exponential functions word problem

Video 

Connecting exponential graphs with contexts

Exercise

Exponential vs. linear models

Lesson

Linear vs. exponential growth: from data

Video 

Linear vs. exponential growth: from data (example 2)

Video 

Linear vs. exponential growth: from data

Exercise 

Exponential growth & decay: FAQ

Article

Exponential growth & decay: Quiz 3

Quiz 

Exponential growth & decay: Unit test

Unit Test

Multiplying monomials by polynomials

Lesson

Polynomials intro

Video 

Polynomials intro

Exercise 

Multiply monomials by polynomials: Area model

Video 

Multiply monomials by polynomials (basic): area model

Exercise 

Multiplying binomials

Lesson

Multiplying binomials: area model

Video

Multiply binomials: area model

Exercise 

Multiplying binomials intro

Video 

Warmup: Multiplying binomials

Article

Multiply binomials intro

Exercise 

Multiplying binomials

Video 

Multiply binomials

Exercise 

Quadratics: Multiplying & factoring: Quiz 1

Quiz 

Special products of binomials

Lesson

Special products of the form (x+a)(x-a)

Video 

Squaring binomials of the form (x+a)²

Video 

Multiply difference of squares

Exercise 

Multiply perfect squares of binomials

Exercise 

Special products of the form (ax+b)(ax-b)

Video 

Squaring binomials of the form (ax+b)²

Video 

Binomial special products review

Article

Introduction to factoring

Lesson

Intro to factors & divisibility

Video 

Intro to factors & divisibility

Article

Factoring with the distributive property

Video 

GCF factoring introduction

Exercise 

Factoring quadratics intro

Lesson

Factoring quadratics as (x+a)(x+b)

Video 

Factoring quadratics: leading coefficient = 1

Article

Factoring quadratics as (x+a)(x+b) (example 2)

Video

More examples of factoring quadratics as (x+a)(x+b)

Video 

Factoring quadratics intro

Exercise 

Factoring quadratics with a common factor

Video 

Factoring completely with a common factor

Video 

Factoring quadratics with a common factor

Exercise 

Factoring simple quadratics review

Article

Quadratics: Multiplying & factoring: Quiz 2

Quiz 

Factoring quadratics by grouping

Lesson

Intro to grouping

Video 

Factoring by grouping

Article

Factoring quadratics by grouping

Video 

Factoring quadratics: leading coefficient ≠ 1

Article

Factor quadratics by grouping

Exercise 

Factoring quadratics: common factor + grouping

Video 

Factoring quadratics: negative common factor + grouping

Video

Creativity break: How can we combine ways of thinking in problem solving?

Video 

Factoring quadratics with difference of squares

Lesson

Difference of squares intro

Video

Factoring quadratics: Difference of squares

Article

Difference of squares intro

Exercise 

Factoring difference of squares: leading coefficient ≠ 1

Video

Factoring difference of squares: analyzing factorization

Video

Factoring difference of squares: shared factors

Video

Difference of squares

Exercise

Factoring quadratics with perfect squares

Lesson

Perfect square factorization intro

Video

Factoring quadratics: Perfect squares

Article

Perfect squares intro

Exercise 

Factoring perfect squares

Video

Identifying perfect square form

Video

Factoring perfect squares: negative common factor

Video 

Factoring perfect squares: missing values

Video 

Factoring perfect squares: shared factors

Video 

Perfect squares

Exercise 

Quadratics: Multiplying & factoring: Quiz 3

Quiz 

Strategy in factoring quadratics

Lesson

Strategy in factoring quadratics (part 1 of 2)

Video

Strategy in factoring quadratics (part 2 of 2)

Video 

Factoring quadratics in any form

Article

Quadratics: Multiplying & factoring: FAQ

Article

Quadratics: Multiplying & factoring: Unit test

Unit Test · 11 questions

Quadratic functions & equations

Unit

Intro to parabolas

Lesson

Parabolas intro

Video 

Parabolas intro

Exercise 

Interpreting a parabola in context

Video 

Interpret parabolas in context

Exercise 

Interpret a quadratic graph

Video 

Interpret a quadratic graph

Exercise 

Solving and graphing with factored form

Lesson

Zero product property

Video 

Zero product property

Exercise

Graphing quadratics in factored form

Video 

Graph quadratics in factored form

Exercise

Quadratic word problems (factored form)

Video 

Quadratic word problems (factored form)

Exercise 

Quadratic functions & equations: Quiz 1

Quiz 

Solving by taking the square root

Lesson

Solving quadratics by taking square roots

Video 

Solving quadratics by taking square roots

Article

Quadratics by taking square roots (intro)

Exercise 

Solving quadratics by taking square roots examples

Video 

Quadratics by taking square roots

Exercise

Quadratics by taking square roots: strategy

Video 

Quadratics by taking square roots: strategy

Exercise 

Solving quadratics by taking square roots: with steps

Video 

Quadratics by taking square roots: with steps

Exercise 

Solving simple quadratics review

Article

Vertex form

Lesson

Vertex form introduction

Video

Graphing quadratics: vertex form

Video 

Graph quadratics in vertex form

Exercise

Quadratic word problems (vertex form)

Video 

Quadratic word problems (vertex form)

Exercise

Quadratic functions & equations: Quiz 2

Quiz 

Solving quadratics by factoring

Lesson

Solving quadratics by factoring

Video 

Solving quadratics by factoring

Article

Quadratics by factoring (intro)

Exercise 

Solving quadratics by factoring: leading coefficient ≠ 1

Video 

Quadratics by factoring

Exercise 

Solving quadratics using structure

Video 

Solve equations using structure

Exercise 

Quadratic equations word problem: triangle dimensions

Video 

Quadratic equations word problem: box dimensions

Video 

Solving quadratics by factoring review

Article

The quadratic formula

Lesson

The quadratic formula

Video 

Understanding the quadratic formula

Article

Worked example: quadratic formula (example 2)

Video

Worked example: quadratic formula (negative coefficients)

Video 

Quadratic formula

Exercise

Using the quadratic formula: number of solutions

Video 

Number of solutions of quadratic equations

Exercise

Quadratic formula review

Article

Discriminant review

Article

Quadratic functions & equations: Quiz 3

Quiz

Completing the square intro

Lesson

Completing the square

Video

Worked example: Completing the square (intro)

Video

Completing the square (intro)

Exercise

Worked example: Rewriting expressions by completing the square

Video

Worked example: Rewriting & solving equations by completing the square

Video 

Completing the square (intermediate)

Exercise 

More on completing the square

Lesson

Solve by completing the square: Integer solutions

Video 

Solve by completing the square: Non-integer solutions

Video 

Solve equations by completing the square

Exercise

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

Video 

Completing the square

Exercise 

Solving quadratics by completing the square: no solution

Video 

Proof of the quadratic formula

Video 

Solving quadratics by completing the square

Article

Completing the square review

Article

Quadratic formula proof review

Article

Strategizing to solve quadratic equations

Lesson

Strategy in solving quadratic equations

Video 

Strategy in solving quadratics

Exercise

Quadratic functions & equations: Quiz 4

Quiz

Quadratic standard form

Lesson

Finding the vertex of a parabola in standard form

Video 

Graphing quadratics: standard form

Video

Graph quadratics in standard form

Exercise 

Quadratic word problem: ball

Video

Quadratic word problems (standard form)

Exercise 

Features & forms of quadratic functions

Lesson

Forms & features of quadratic functions

Video

Worked examples: Forms & features of quadratic functions

Video

Features of quadratic functions: strategy

Exercise

Vertex & axis of symmetry of a parabola

Video 

Finding features of quadratic functions

Video 

Features of quadratic functions

Exercise

Graph parabolas in all forms

Exercise

Interpret quadratic models: Factored form

Video

Interpret quadratic models: Vertex form

Video 

Interpret quadratic models

Exercise 

Graphing quadratics review

Article

Creativity break: How does creativity play a role in your everyday life?

Video

Quadratic functions & equations: Quiz 5

Quiz

Comparing quadratic functions

Lesson

Comparing features of quadratic functions

Video 

Comparing maximum points of quadratic functions

Video 

Compare quadratic functions

Exercise 

Transforming quadratic functions

Lesson

Intro to parabola transformations

Video 

Shifting parabolas

Video 

Shift parabolas

Exercise

Scaling & reflecting parabolas

Video

Scale & reflect parabolas

Exercise 

Quadratic functions & equations: FAQ

Article

Quadratic functions & equations: Quiz 6

Quiz

Quadratic functions & equations: Unit test

Unit Test

Irrational numbers

Unit

Irrational numbers

Lesson

Intro to rational & irrational numbers

Video 

Classifying numbers: rational & irrational

Video 

Classify numbers: rational & irrational

Exercise

Sums and products of rational and irrational numbers

Lesson

Proof: sum & product of two rationals is rational

Video

Proof: product of rational & irrational is irrational

Video 

Proof: sum of rational & irrational is irrational

Video 

Sums and products of irrational numbers

Video 

Worked example: rational vs. irrational expressions

Video 

Worked example: rational vs. irrational expressions (unknowns)

Video 

Rational vs. irrational expressions

Exercise

Proofs concerning irrational numbers

Lesson

Proof: √2 is irrational

Video

Proof: square roots of prime numbers are irrational

Video 

Proof: there's an irrational number between any two rational numbers

Video

Irrational numbers: FAQ

Article

Creativity in algebra

Unit

Creativity in algebra

Lesson

Creativity in algebra

Video 

Creative algebra at work

Video 

The future of creativity in algebra

Video 

Algebra 1

Course Challenge