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 ax2+bx+c
Modeling the Factorization of x2+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 ax2+bx+c
Modeling the Factorization of x2+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 x2+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 x2+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 x2+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 ax2+bx+c
Modeling the Factorization of x2+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 ax2+bx+c
Modeling the Factorization of x2+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