Secondary: Algebra 2/Trigonometry
A team of Northshore School District educators curated these supplemental learning resources to support asynchronous learning opportunities. This page includes instructional videos from open educational resources that were used during the 202021 school year.
Quarter 1
Quarter 1 Math
Big Ideas & Concepts
 Expressions, Equations and Inequalities
 Relations and Functions
 Linear Systems
 Quadratic Functions and Equations
Instructional Videos
 Virtual Nerd Domain
 Virtual Nerd How do you Graph a Function from a Table
 Virtual Nerd Range
 Virtual Nerd How do you find the Domain and Range of a Relation
 Virtual Nerd What is a Relation
 Virtual Nerd How do you graph a Linear Equation by making a table
 Virtual Nerd How can you tell if a relation is NOT a function
 Virtual Nerd Vertical Line Test
 Virtual Nerd What is a Function
 Virtual Nerd What is the Vertical Line Test
 Virtual Nerd How is a Function Defined
 Virtual Nerd What is a OnetoOne Function
 Virtual Nerd What is a Continuous Function
 Virtual Nerd How do you figure out if a relation is a function
 Virtual Nerd What are Dependent and Independent Variables
 Virtual Nerd How do you find f(x) when the x value contains other variables
 Virtual Nerd How do you find f(x) if you have a value for x
 Virtual Nerd What is Function Notation
 Virtual Nerd What is the Y intercept
 Virtual Nerd What is Slope Intercept Form
 Virtual Nerd How do you put an equation in slope intercept form into standard form
 Virtual Nerd What is the x intercept
 Virtual Nerd What is a Linear Equation
 Virtual Nerd What is Point Slope Form
 Virtual Nerd How can you tell if it is a linear equation
 Virtual Nerd How do you put an equation in point slope form into standard form
 Virtual Nerd How do you put an equation in standard form into slope intercept form or point slope form
 Virtual Nerd What is Standard Form
 Virtual Nerd Find slope from 2 points
 Virtual Nerd What does a negative slope mean
 Virtual Nerd Finding Slope from a Graph
 Virtual Nerd What does the slope of a line mean
 Virtual Nerd Slope Using Rise and Run
 Virtual Nerd What does Undefined Slope Mean
 Virtual Nerd What does Zero Slope Mean
 Virtual Nerd What Does Positive Slope Mean
 Virtual Nerd What is the Formula for Slope
 Virtual Nerd How to Graph a Line if You are Given a Slope or a Point
 Virtual Nerd How do you use x and y intercepts to graph from standard form
 Virtual Nerd How to Graph a Line Given Slope and Y Intercept
 Virtual Nerd What are Vertical Lines
 Virtual Nerd What are Horizontal Lines
 Virtual Nerd How Do You Graph a Vertical Line
 Virtual Nerd How Do You Graph a Horizontal Line
 Virtual Nerd How do you Find the Slope of a line if you have a perpendicular line
 Virtual Nerd How do you know if 2 Lines are Perpendicular
 Virtual Nerd Writing Equations in Slope Intercept Form if you Have 2 Points
 Virtual Nerd Writing Equations in Slope Intercept Form from a Story Problem
 Virtual Nerd Writing Equations in Slope Intercept From if you have the Slope and the Yintercept
 Virtual Nerd Writing Equations in Slope Intercept Form from a Graph
 Virtual Nerd Writing Equations in Point Slope form when given a slope and a point
 Virtual Nerd Writing Equations in Point Slope Form and Standard Form when Given 2 Points
 Virtual Nerd Writing Equations in Point Slope form Given 2 Points
 Virtual Nerd How do you Write and Equation for a Horizontal Line
 Virtual Nerd How do you Write and Equation for a Vertical Line
 Virtual Nerd How do you write an equation of a line in slopeintercept format when you have a point and a perpendicular line
 Virtual Nerd How do you write an equation of a line in slopeintercept format when you have a point and a parallel line
 Virtual Nerd What Does the Constant "k" do in y =x+k
 Virtual Nerd What is an Absolute Value Function
 Virtual Nerd How do you Graph an Absolute Function
 Virtual Nerd What does the Constant "h" do in y=xh
 Virtual Nerd How do you Write and Equation for an Absolute Value Transformation
 Virtual Nerd How do you Graph a Piecewise Function
 Virtual Nerd What is a Constant Function
 Virtual Nerd What is a Linear Function
 Virtual Nerd What is a Parent Function
 Virtual Nerd How do you graph the Parent Quadratic Function y=x^2
 Virtual Nerd What is the parent graph of a cubic function
 Virtual Nerd What is a cubic Function
 Virtual Nerd How do you Translate a Function
 Virtual Nerd How do you Graph a Translation
 Virtual Nerd How do you graph a reflection of a function
 Virtual Nerd How do you reflect a function
 Khan Academy Shifting Functions
 Khan Academy Shifting Functions Examples
 Khan Academy Graphing Shifting Functions
 Khan Academy Reflecting Functions Introductions
 Khan Academy Reflecting Functions Examples
 Khan Academy Scaling Functions Introductions
 Khan Academy What is a Function
 Khan Academy Evaluating Functions from an Equation
 Khan Academy Evaluating Functions from Graph
 Khan Academy Evaluating Functions with Function Notation
 Khan Academy Intervals and Interval Notation
 Khan Academy What is the Domain of a Function
 Khan Academy What is the Range of the Function
 Khan Academy Example Domain and Range from a Graph
 Virtual Nerd What is a System of Equations
 Virtual Nerd What is a Solution to a System of Equations
 Virtual Nerd How do you check your answer when you have two equations
 Virtual Nerd How do you graph a system of equations with no solutions
 Virtual Nerd How do you solve a system of equations by graphing
 Virtual Nerd How do you solve a word problem using 2 equations
 Virtual Nerd How do you solve a system of equations using substitution
 Virtual Nerd How do you solve 2 equations with 2 variables
 Virtual Nerd How do you solve a system of equations using the elimination by multiplication method
 Virtual Nerd How do you solve a system of equations using elimination by multiplication Another Way
 Virtual Nerd How do you solve a system of equations using the elimination by addition method
 Virtual Nerd How do you solve a system of equations using the elimination by subtraction method
 Virtual Nerd Ways you can solve systems of equations
 Virtual Nerd Example of word problem of a systems of equations that has an infinite number of solutions
 Virtual Nerd Solving systems of linear inequalities
 Virtual Nerd What is a solution of systems of inequalities
 Virtual Nerd What is a system in inequalities
 Virtual Nerd How do you solve a system of inequalities by graphing
 Virtual Nerd What is Linear Programming
 Virtual Nerd How do you solve and optimization word problem
 Virtual Nerd Solving systems in 3 variables
 Khan Academy Solving Systems with Substitution
 Khan Academy Solving Systems with Substitution (2)
 Khan Academy Systems of Elimination Strategies
 Khan Academy Examples of using Elimination
 Khan Academy Elimination Potato Chip Example
 Khan Academy Elimination with Manipulation
 Khan Academy Number of Solutions
 Khan Academy Number of Solutions Graphically
 Khan Academy Number of Solutions Algebraically
 Khan Academy Reasoning Through Solutions
 Virtual Nerd What is the Axis of Symmetry
 Virtual Nerd What is the Minimum of a Quadratic Function
 Virtual Nerd What is a Parabola
 Virtual Nerd What is the Vertex of a Quadratic Function
 Virtual Nerd What is a Quadratic Function
 Virtual Nerd What is the Maximum of a Quadratic Function
 Virtual Nerd What is the Standard Form of a Quadratic Function
 Virtual Nerd How do you determine if the vertex will be a max or min
 Virtual Nerd How do you find the vertex of a quadratic function
 Virtual Nerd How do you make a table of a quadratic function
 Virtual Nerd How do you write and equation of a quadratic function if you have 3 points
 Virtual Nerd How do you find the axis of symmetry of a quadratic function
 Virtual Nerd How do you graph a quadratic function
 Virtual Nerd How do you graph the parent function of y=x^2
 Virtual Nerd How do you convert an equation from vertex form to standard form
 Virtual Nerd How do you write an equation in vertex from if you have the vertex and another point
 Virtual Nerd How do you write the equation in intercept form if you have the graph
 Virtual Nerd How do you convert an equation from intercept form to standard form
 Virtual Nerd How do you graph a quadratic equation in intercept form
 Virtual Nerd What is a Quadratic Equation
 Virtual Nerd How do you find the zeros of a quadratic equation on a graph
 Virtual Nerd How do you solve a quadratic equation with 2 solutions by graphing
 Virtual Nerd How do you graph a quadratic equation with no solutions
 Virtual Nerd How do you find all the possible factors of a polynomial
 Virtual Nerd How do you figure out a template for factoring a trinomial
 Virtual Nerd Factoring out a common factor then using Difference of Squares
 Virtual Nerd How do you know if you have Difference of Squares
 Virtual Nerd Difference of Squares
 Virtual Nerd How do you factor by guess and check
 Virtual Nerd How do you factor a trinomial
 Virtual Nerd Perfect Square Trinomial
 Virtual Nerd How do you factor out the greatest common factor from a polynomial
 Virtual Nerd What is the Zero Product Property
 Virtual Nerd How do you solve a word problem by factoring a quadratic equation
 Virtual Nerd How do you solve a quadratic equation by factoring
 Virtual Nerd How do you multiply pure imaginary numbers
 Virtual Nerd How do you simplify the square root of a negative number
 Virtual Nerd How do you Multiply Complex Numbers that are binomials
 Virtual Nerd How do you divide complex numbers using conjugates
 Virtual Nerd How do you add complex numbers
 Virtual Nerd What is the imaginary unit
 Virtual Nerd What is an imaginary number
 Virtual Nerd How do you find higher powers of i
 Virtual Nerd How do you use the square root method to solve a quadratic equation with imaginary solutions
 Virtual Nerd How do you use the square root method to solve a quadratic equation with 2 solutions
 Virtual Nerd How do you use the square root method to solve a quadratic equation with imaginary numbers and a does not = 1
 Virtual Nerd What is the square root property
 Virtual Nerd How do you convert a quadratic equation from standard form to vertex form by completing the square
 Virtual Nerd How do you solve a quadratic equation by completing the square
 Virtual Nerd What is the Quadratic Formula
 Virtual Nerd How do you solve a quadratic equation with the quadratic formula that has complex solutions
 Virtual Nerd How do you solve a word problem using the quadratic equation
 Virtual Nerd How do you solve a quadratic equation using the quadratic formula
 Virtual Nerd What is the Discriminant
 Virtual Nerd How do you find the discriminant of a quadratic equation with 2 solutions
 Virtual Nerd How do you use the discriminant to determine the number of real and imaginary roots
 Virtual Nerd How do you find the discriminant of a quadratic equation with 1 solution
 Virtual Nerd How do you solve a quadratic inequality algebraically
 Virtual Nerd How do you solve a quadratic equation graphically
 Virtual Nerd What is a quadratic inequality
 Virtual Nerd How do you graph a quadratic inequality
 Khan Academy Intro to imaginary numbers
 Khan Academy Simplifying roots of negative numbers
 Khan Academy Powers of the Imaginary Unit
 Khan Academy i is the principal root of 1
 Khan Academy Intro to Complex Numbers
 Khan Academy Classifying Complex Numbers
 Khan Academy Adding Complex Numbers
 Khan Academy Subtracting Complex Numbers
 Khan Academy Multiplying Complex Numbers
 Khan Academy Solving Quadratic Equations with Complex Roots
 ck12 Finding components of quadratic functions
 ck12 Number of Solutions
 ck12 Finding the zeros of a quadratic function
 ck12 Finding the Axis if Symmetry
 ck12 Finding zeroes examples
 ck12 Finding Vertex Example
 ck12 Solving basic quadratic equations using square roots
 ck12 Solving basic quadratic equations using square roots Example 1
 ck12 Solving basic quadratic equations using square roots example 2
 ck12 Solving basic quadratic equations using square roots Example 3
 ck12 Completing the Square
 ck12 Completing the Square Example 1
 ck12 Completing the Square Example 2
 ck12 Completing the Square Perfect square Trinomial
 ck12 Writing Quadratic Equations
 ck12 Writing Quadratic Equations Example 1
 ck12 Writing Quadratic Equations Example 2
 ck12 Writing Quadratic Equations Example 3
 ck12 Graph Quadratic Functions in Vertex Form
 ck12 Solving using the quadratic formula
 ck12 Solving word problems using quadratic equations
 ck12 Interpreting the Discriminant
 ck12 Interpreting the Discriminant Example
Quarter 2
Quarter 2 Math
Big Ideas & Concepts
 Polynomials and Polynomial Functions
 Radical Functions and Rational Exponents
 Exponential and Logarithmic Functions
Instructional Videos
 Khan Academy: End behavior of polynomials
 VirtualNerd: How do you graph a polynomial function by making a table?
 Khan Academy: Zeros of polynomials
 Khan Academy: Positive and negative intervals of polynomials
 Khan Academy: Polynomial graphs: Putting it all together
 The Rational Zero Theorem
 The Fundamental Theorem of Algebra
 Khan Academy: Polynomial factorization
 Khan Academy: Solving equations by graphing
 Khan Academy: The Fundamental Theorem of Algebra
 VirtualNerd: What is the Fundamental Theorem of Algebra?
 VirtualNerd: How do you determine the zeros of a polynomial function from a table of values?
 What's a Prime Polynomial?
 How Do You Figure Out What Factoring Strategy to Use?
 How Do You Factor a Polynomial Using Sum of Cubes?
 How Do You Factor a Polynomial Using Difference of Cubes?
 How Do You Factor a 4Term Polynomial by Grouping?
 How Do You Factor a 6Term Polynomial by Grouping?
 What is Quadratic Form of a Polynomial Equation?
 How Do You Use a Polynomial Equation to Solve a Word Problem?
 How Do You Use a Solve a Polynomial Equation With Two Variables?
 What is a Depressed Polynomial?
 What is the Factor Theorem?
 Khan Academy: Polynomial word problems
 VirtualNerd: How do you translate a polynomial function vertically?
 Khan Academy: Transformations of functions
 nVirtualNerd: nth Roots
 Multiplying and Dividing Radicals
 Simplifying Radical Expressions
 How Do You Simplify Radicals Using the Product Property?
 How Do You Multiply Two Radicals?
 How Do You Subtract Radicals with Like Radicands?
 How Do You Add Radicals with Like Radicands?
 How Do You Subtract Radicals with Unlike Radicands?
 Simplifying radical expressions (addition)
 Simplifying radical expressions (subtraction)
 Multiplying binomials with radicals
 Intro to rationalizing the denominator
 Worked example: Rationalizing the denominator
 Rational Exponents intro
 Properties of exponents (rational exponents)
 Advanced exponent & radical evaluation
 Solving squareroot equations
 Extraneous solutions of radical equations
 Solving cuberoot equations
 VirtualNerd: Rational ExponentsVirtual Nerd: Solving Radical Equations
 How Do You Horizontally Translate a Square Root Function?
 How Do You Graph a Square Root Function Using a Table?
 What Does the Constant 'k' Do in the Function f(x)=[square root of](x)+k?
 Domain of a radical function
 Graphs of radical functions
 Graphs of square and cube root functions
 How Do You Solve a Word Problem Using an Exponential Function?
 What's an Exponential Function?
 What Does the Value of 'a' Do in the Exponential Function f(x)= a (bx)?
 How Do You Graph an Exponential Function Using a Table?
 How Do You Solve a Word Problem with Exponential Decay?
 What is exponential decay?
 What is Exponential Growth?
 What is the Formula for Compound Interest?
 How Do You Solve a Word Problem with Exponential Growth?
 How Do You Use the Formula for Compound Interest?
 How Do You Identify Exponential Behavior from a Pattern in the Data?
 Exponential models
 Graphs of exponential functions
 What are Function Operations?
 How Do You Find the Sum of Two Functions?
 Combining functions
 Composing functions
 Introduction to inverses of functions
 Finding inverse functions
 Verifying that functions are inverses
 Determining whether a function is invertible
 Inverse Relations
 What is a Logarithm?
 How Do You Convert From Logarithmic Form to Exponential Form?
 How Do You Evaluate a Logarithm?
 How Do You Convert From Exponential Form to Logarithmic Form?
 What Does the Constant 'k' Do to the Graph of f(x)=log(x)+k?
 Intro to logarithms
 Intro to Logarithms
 Evaluating logarithms (advanced)
 Graphs of logarithmic functions
 Relationship between exponentials & logarithms
 Relationship between exponentials & logarithms: graphs
 Relationship between exponentials & logarithms: tables
 What is the Change of Base Formula?
 What is the Product Property of Logarithms?
 How Do You Simplify Logarithms Using the Product Property?
 How Do You Express a Logarithm in Terms of Common Logarithms?
 Properties of logarithms
 Change of base formula for logarithms
 How Do You Solve a Logarithmic Equation by Exponentiating?
 Solving exponential equations with logarithms
 Solving exponential models
 How Do You Solve an Exponential Equation by Equating Exponents?
 How Do You Graph the Natural Base Exponential Function?
 What is the Natural Base Exponential Function?
 What is e?
 How Do You Convert From Exponential Form to Natural Logarithmic Form?
 How Do You Convert From Natural Logarithmic Form to Exponential Form?
 What is a Natural Logarithm?
 The constant e and the natural logarithm
Quarter 3 & 4
Quarter 3 & 4 Math
Big Ideas & Concepts
 Rational Functions
 Trigonometric Functions
Instructional Videos
 Intro to rational expression simplification
 Simplifying rational expressions: common monomial factors
 Simplifying rational expressions: common binomial factors
 Simplifying rational expressions: opposite common binomial factors
 Simplifying rational expressions: grouping
 Simplifying rational expressions: higher degree terms
 Simplifying rational expressions: two variables
 End behavior of rational functions
 Discontinuities of rational functions
 Analyzing vertical asymptotes of rational functions
 Graphing rational functions according to asymptotes
 Graphs of rational functions: yintercept
 Graphs of rational functions: horizontal asymptote
 Graphs of rational functions: vertical asymptotes
 Graphs of rational functions: zeros
 Multiplying & dividing rational expressions: monomials
 Multiplying rational expressions
 Dividing rational expressions
 Multiplying rational expressions: multiple variables
 Dividing rational expressions: unknown expression
 Adding & subtracting rational expressions: like denominators
 Intro to adding rational expressions with unlike denominators
 Adding rational expressions: unlike denominators
 Subtracting rational expressions: unlike denominators
 Subtracting rational expressions: factored denominators
 Least common multiple of polynomials
 Subtracting rational expressions (not factored)
 Rational equations intro
 Equations with rational expressions
 Equations with rational expressions (example 2)
 Finding inverses of rational functions
 How Do You Solve a Word Problem Using Inverse Variation?
 How Do You Use the Formula for Inverse Variation to Write an Equation?
 What is the Product Rule for Inverse Variation?
 What's the Inverse Variation or Indirect Proportionality Formula?
 How Do You Reduce Common Factors in a Rational Expression?
 How Do You Divide Monomials Using the Greatest Common Factor?
 What's a Rational Expression?
 How Do You Simplify a Polynomial Over a Polynomial Using Opposite Binomial Factors?
 What's an Excluded Value?
 How Do You Divide Two Polynomials by Factoring and Canceling?
 How Do You Find Excluded Values?
 How Do You Multiply a Rational Expression by a Polynomial?
 How Do You Multiply Quotients of Monomials by Canceling Factors?
 How Do You Multiply Two Rational Expressions?
 How Do You Multiply Quotients of Monomials?
 How Do You Divide Two Rational Expressions?
 How Do You Divide a Rational Expression by a Polynomial?
 How Do You Divide Quotients of Monomials?
 How Do You Subtract Two Rational Expressions with the Same Denominator?
 How Do You Add Two Rational Expressions with the Same Denominator?
 How Do You Add Two Rational Expressions with Different Denominators?
 How Do You Find the Least Common Multiple of Monomials?
 How Do You Subtract Two Rational Expressions with Different Denominators?
 How Do You Find the Least Common Denominator of Two Rational Expressions?
 What's the Least Common Denominator?
 How Do You Simplify a Mixed Expression Over a Mixed Expression?
 What's a Complex Expression with Rational Expressions?
 How Do You Solve a Rational Equation With an Extraneous Solution?
 How Do You Solve a Rational Equation With Binomials in the Denominator?
 How Do You Solve a Word Problem with a Rational Equation?
 How Do You Solve a Rational Equation by Adding Fractions?
 How Do You Solve a Rational Equation With No Solution?
 How Do You Solve a Rational Equation by LCD Multiplication?
 How Do You Solve a Rational Equation?
 What's a Rational Equation?

Transformation sinusoidal graphs: vertical stretch & horizontal reflection

Transformation sinusoidal graphs: vertical & horizontal stretches