Core Curriculum

I.1.a: Solve and graph first-degree absolute value equations of a single variable.

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

I.1.b: Solve radical equations of a single variable, including those with extraneous roots.

Operations with Radical Expressions

Radical Functions

I.1.c: Solve absolute value and compound inequalities of a single variable.

Absolute Value Equations and Inequalities

Compound Inequalities

Solving Linear Inequalities in One Variable

I.1.e: Simplify algebraic expressions involving negative and rational exponents.

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

I.2.a: Solve systems of linear, absolute value, and quadratic equations algebraically and graphically.

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)

I.2.b: Graph the solutions of systems of linear, absolute value, and quadratic inequalities on the coordinate plane.

Absolute Value Equations and Inequalities

Linear Inequalities in Two Variables

Systems of Linear Inequalities (Slope-intercept form)

I.2.c: Solve application problems involving systems of equations and inequalities.

Linear Programming

Systems of Linear Inequalities (Slope-intercept form)

I.3.b: Simplify expressions involving complex numbers and express them in standard form, a + bi.

I.4.a: Model real-world situations using quadratic equations.

Addition and Subtraction of Functions

I.4.c: Solve quadratic equations of a single variable over the set of complex numbers by factoring, completing the square, and using the quadratic formula.

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

Quadratics in Factored Form

Roots of a Quadratic

I.4.e: Write a quadratic equation when given the solutions of the equation.

II.1.a: Model real-world relationships with functions.

II.1.c: Determine when a relation is a function.

Introduction to Functions

Linear Functions

II.1.d: Determine the domain and range of relations.

II.2.c: Add, subtract, multiply, and divide functions.

Addition and Subtraction of Functions

II.2.d: Determine whether or not a function has an inverse, and find the inverse when it exists.

II.3.a: Define exponential functions as functions of the form y = abx ,b > 0,b ?? 1.

Compound Interest

Exponential Functions

Introduction to Exponential Functions

Logarithmic Functions

II.3.b: Model problems of growth and decay using exponential functions.

II.3.c: Graph exponential functions.

Compound Interest

Exponential Functions

Introduction to Exponential Functions

Logarithmic Functions

II.4.a: Relate logarithmic and exponential functions.

II.4.d: Solve exponential and logarithmic equations.

II.4.e: Graph logarithmic functions.

II.4.f: Solve problems involving growth and decay.

III.1.a: Identify the domain and range of the absolute value, quadratic, radical, sine, and cosine functions.

III.1.b: Graph the absolute value, quadratic, radical, sine, and cosine functions.

Absolute Value with Linear Functions

Addition and Subtraction of Functions

Cosine Function

Exponential Functions

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Radical Functions

Roots of a Quadratic

Sine Function

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

Zap It! Game

III.1.c: Graph functions using transformations of parent functions.

Absolute Value with Linear Functions

Exponential Functions

Introduction to Exponential Functions

Quadratics in Vertex Form

Rational Functions

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

Translations

Zap It! Game

III.1.d: Write an equation of a parabola in the form y = a(x − h)2 + k when given a graph or an equation..

III.2.a: Convert angle measurements between radians and degrees.

Cosine Function

Sine Function

Tangent Function

III.2.b: Find angle measures in degrees and radians using inverse trigonometric functions, including exact values for special triangles.

III.3.a: Define the sine, cosine, and tangent functions using the unit circle.

Cosine Function

Sine Function

Tangent Function

Translating and Scaling Sine and Cosine Functions

III.3.b: Determine the exact values of the sine, cosine, and tangent functions for the special angles of the unit circle using reference angles.

Cosine Function

Sine Function

Tangent Function

IV.1.a: Distinguish between permutations and combinations and identify situations in which each is appropriate.

IV.1.b: Calculate probabilities using permutations and combinations to count events.

Binomial Probabilities

Permutations and Combinations

IV.1.c: Compute conditional and unconditional probabilities in various ways, including by definitions, the general multiplication rule, and probability trees.

Binomial Probabilities

Geometric Probability

Independent and Dependent Events

Permutations and Combinations

Probability Simulations

Theoretical and Experimental Probability

IV.2.a: Compute different measures of spread, including the range, standard deviation, and interquartile range.

Describing Data Using Statistics

Mean, Median, and Mode

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

IV.2.b: Compare the effectiveness of different measures of spread, including the range, standard deviation, and interquartile range in specific situations.

Correlation last revised: 4/4/2018

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