Content Standards

HS.A-SSE.1: Interpret expressions that represent a quantity in terms of its context.

HS.A-SSE.1.a: Interpret parts of an expression, such as terms, factors, and coefficients.

Compound Interest

Operations with Radical Expressions

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

HS.A-SSE.1.b: Interpret complicated expressions by examining one or more of their parts as a single entity.

Compound Interest

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Translating and Scaling Functions

Using Algebraic Expressions

HS.A-SSE.2: Use the structure of an expression to identify ways to rewrite it.

Dividing Exponential Expressions

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Exponents and Power Rules

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

Multiplying Exponential Expressions

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Simplifying Trigonometric Expressions

Solving Algebraic Equations II

Using Algebraic Expressions

HA.A.SSE.3: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

HA.A.SSE.3.a: Factor a quadratic expression to reveal the zeros of the function it defines.

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

Quadratics in Factored Form

HA.A.SSE.3.b: Complete the square in a quadratic expression to produce an equivalent expression.

HA.A.SSE.3.c: Use the properties of exponents to transform exponential expressions.

Dividing Exponential Expressions

Exponents and Power Rules

HS.A-APR.1.i: Add, subtract, and multiply polynomials.

Addition and Subtraction of Functions

Addition of Polynomials

Modeling the Factorization of *x*^{2}+*bx*+*c*

HS.A-APR.1.ii: Understand that polynomials form a system comparable to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication.

Addition and Subtraction of Functions

Addition of Polynomials

HS.A-APR.2: Apply the Remainder Theorem.

Dividing Polynomials Using Synthetic Division

Polynomials and Linear Factors

2.2.1.1: Remainder Theorem: For a polynomial ??(??) and a number ??, the remainder on division by ?? – ?? is ??(??), so ??(??) = 0 if and only if (?? – ??) is a factor of ??(??).

Dividing Polynomials Using Synthetic Division

Polynomials and Linear Factors

HS.A-APR.3.i: Identify zeros of polynomials when suitable factorizations are available.

Graphs of Polynomial Functions

Modeling the Factorization of *x*^{2}+*bx*+*c*

Polynomials and Linear Factors

Quadratics in Factored Form

Quadratics in Vertex Form

HS.A-APR.3.ii: Use the zeros to construct a rough graph of the function defined by the polynomial.

Graphs of Polynomial Functions

Modeling the Factorization of *x*^{2}+*bx*+*c*

Polynomials and Linear Factors

Quadratics in Factored Form

Quadratics in Vertex Form

HS.A-APR.5: Apply the Binomial Theorem for the expansion of (x + y)^n in powers of x and y for a positive integer n.

2.3.2.1: Coefficients in the expansion of (?? + ??)? can be determined using Pascal’s Triangle or combinations.

HS.A-CED.1: Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

Absolute Value Equations and Inequalities

Arithmetic Sequences

Compound Interest

Exploring Linear Inequalities in One Variable

Exponential Functions

General Form of a Rational Function

Geometric Sequences

Introduction to Exponential Functions

Linear Inequalities in Two Variables

Logarithmic Functions

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Quadratic Inequalities

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Rational Functions

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

Solving Two-Step Equations

Translating and Scaling Functions

Using Algebraic Equations

HS.A-CED.2.i: Create equations in two or more variables to represent relationships between quantities.

Absolute Value Equations and Inequalities

Circles

Compound Interest

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Quadratics in Polynomial Form

Quadratics in Vertex Form

Slope-Intercept Form of a Line

Solving Equations on the Number Line

Standard Form of a Line

Using Algebraic Equations

HS.A-CED.2.ii: Graph equations on coordinate axes with appropriate labels and scales.

Absolute Value Equations and Inequalities

Circles

Compound Interest

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Quadratics in Polynomial Form

Quadratics in Vertex Form

Slope-Intercept Form of a Line

Solving Equations on the Number Line

Standard Form of a Line

Using Algebraic Equations

HS.A-CED.3: Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.

Linear Inequalities in Two Variables

Linear Programming

Solving Linear Systems (Standard Form)

Systems of Linear Inequalities (Slope-intercept form)

HS.A-CED.4: Rearrange formulas to isolate a quantity of interest, using the same reasoning as in solving equations.

Area of Triangles

Solving Formulas for any Variable

HS.A-REI.1: Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Solving Algebraic Equations II

Solving Equations on the Number Line

Solving Formulas for any Variable

Solving Two-Step Equations

HS.A-REI.2: Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

HS.A-REI.3: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Area of Triangles

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Solving Algebraic Equations I

Solving Algebraic Equations II

Solving Equations on the Number Line

Solving Formulas for any Variable

Solving Linear Inequalities in One Variable

Solving Two-Step Equations

HS.A-REI.4: Solve quadratic equations in one variable.

HS.A-REI.4.a.i: Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)² = q that has the same solutions.

HS.A-REI.4.a.ii: Derive the quadratic formula from this form.

HS.A-REI.4.b.i: Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation.

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

Points in the Complex Plane

Roots of a Quadratic

HS.A-REI.4.b.ii: Recognize when the quadratic formula gives complex solutions and write them as a + bi for real numbers a and b.

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

Points in the Complex Plane

Roots of a Quadratic

HS.A-REI.6: Solve systems of linear equations exactly and approximately, focusing on pairs of linear equations in two variables.

Cat and Mouse (Modeling with Linear Systems)

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

HS.A-REI.8: Represent a system of linear equations as a single matrix equation.

Solving Linear Systems (Matrices and Special Solutions)

HS.A-REI.9: Find the inverse of a matrix, if it exists, and use it to solve systems of linear equations (using technology for matrices of dimension 3 × 3 or greater).

Solving Linear Systems (Matrices and Special Solutions)

HS.A-REI.10: Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane.

Absolute Value Equations and Inequalities

Circles

Ellipses

Hyperbolas

Parabolas

Point-Slope Form of a Line

Points, Lines, and Equations

Standard Form of a Line

HS.A-REI.11: Using graphs, technology, tables, or successive approximations, show that the solution(s) to the equation f(x) = g(x) are the x-value(s) that result in the y-values of f(x) and g(x) being the same.

Cat and Mouse (Modeling with Linear Systems)

Point-Slope Form of a Line

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

Standard Form of a Line

HS.A-REI.12.i: Graph the solutions to a linear inequality in two variables as a half-plane.

Linear Inequalities in Two Variables

Linear Programming

Systems of Linear Inequalities (Slope-intercept form)

HS.A-REI.12.ii: Graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

Linear Inequalities in Two Variables

Linear Programming

Systems of Linear Inequalities (Slope-intercept form)

Correlation last revised: 9/22/2020

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.