Algebra 1 & High school geometry Class Code: 63CVF8YM
Algebra foundations
Overview and history of algebra
Lesson
Video
Video
Video
Creativity break: Why is creativity important in algebra?
Video
Video
Why all the letters in algebra?
Video
Introduction to variables
Lesson
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
Solving equations & inequalities
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
Linear Equations & Graphs
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
Forms of linear equations
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
Systems of Equations
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
Inequalities
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
Functions
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
EXTRA CREDIT WORK
Introduction to arithmetic sequences
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
EXTRA CREDIT WORK
Absolute value & piecewise functions
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
EXTRA CREDIT WORK
Exponents & radicals
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
EXTRA CREDIT WORK
Exponential growth & decay
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
EXTRA CREDIT WORK
Multiplying monomials by polynomials
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
EXTRA CREDIT WORK
Quadratic functions & equations
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
EXTRA CREDIT WORK
Irrational numbers
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