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 2020-21 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 One-to-One 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 Y-intercept
- 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 slope-intercept format when you have a point and a perpendicular line
- Virtual Nerd How do you write an equation of a line in slope-intercept 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=|x-h|
- 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 4-Term Polynomial by Grouping?
- How Do You Factor a 6-Term 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 square-root equations
- Extraneous solutions of radical equations
- Solving cube-root 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: y-intercept
- 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?
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Transformation sinusoidal graphs: vertical stretch & horizontal reflection
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Transformation sinusoidal graphs: vertical & horizontal stretches