Standards

A2.1.A: Select and justify functions and equations to model and solve problems.

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Solving Equations on the Number Line

A2.1.B: Solve problems that can be represented by systems of equations and inequalities.

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

A2.1.D: Solve problems that can be represented by exponential and logarithmic functions and equations.

Compound Interest

Exponential Functions

Introduction to Exponential Functions

A2.1.E: Solve problems that can be represented by inverse variations of the forms f(x) = a/x + b, f(x) = a/ x² + b, and f(x) = a/(bx + c)

A2.1.F: Solve problems involving combinations and permutations.

A2.2.A: Explain how whole, integer, rational, real, and complex numbers are related, and identify the number system(s) within which a given algebraic equation can be solved.

Points in the Complex Plane

Solving Algebraic Equations II

Solving Equations on the Number Line

A2.2.C: Add, subtract, multiply, divide, and simplify rational and more general algebraic expressions.

Dividing Exponential Expressions

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Multiplying Exponential Expressions

Operations with Radical Expressions

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Algebraic Equations II

Using Algebraic Equations

A2.3.B: Determine the number and nature of the roots of a quadratic function.

A2.3.C: Solve quadratic equations and inequalities, including equations with complex roots.

Quadratic Inequalities

Quadratics in Factored Form

Quadratics in Polynomial Form

Roots of a Quadratic

A2.4.A: Know and use basic properties of exponential and logarithmic functions and the inverse relationship between them.

Compound Interest

Exponential Functions

Introduction to Exponential Functions

Logarithmic Functions

A2.4.B: Graph an exponential function of the form f(x) = abx and its inverse logarithmic function.

Compound Interest

Exponential Functions

Introduction to Exponential Functions

Logarithmic Functions

A2.4.C: Solve exponential and logarithmic equations.

A2.5.A: Construct new functions using the transformations f(x - h), f(x) + k, cf(x), and by adding and subtracting functions, and describe the effect on the original graph(s).

Absolute Value with Linear Functions

Addition and Subtraction of Functions

Exponential Functions

Introduction to Exponential Functions

Rational Functions

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

Translations

Zap It! Game

A2.5.B: Plot points, sketch, and describe the graphs of functions of the form f (x) = a times the square root of x - c + d , and solve related equations.

A2.5.C: Plot points, sketch, and describe the graphs of functions of the form (x) = a/x + b, f(x) = a/x² + b, and f(x) = a/(bx + c), and solve related equations.

Compound Interest

Exponential Functions

General Form of a Rational Function

Introduction to Exponential Functions

Logarithmic Functions

Rational Functions

A2.5.D: Plot points, sketch, and describe the graphs of cubic polynomial functions of the form f(x) = ax³ + d as an example of higher order polynomials and solve related equations.

Graphs of Polynomial Functions

Translating and Scaling Functions

A2.6.B: Given a finite sample space consisting of equally likely outcomes and containing events A and B, determine whether A and B are independent or dependent, and find the conditional probability of A given B.

Theoretical and Experimental Probability

A2.6.C: Compute permutations and combinations, and use the results to calculate probabilities.

Binomial Probabilities

Permutations and Combinations

A2.6.F: Calculate and interpret measures of variability and standard deviation and use these measures and the characteristics of the normal distribution to describe and compare data sets.

Polling: City

Populations and Samples

Real-Time Histogram

Sight vs. Sound Reactions

A2.6.G: Calculate and interpret margin of error and confidence intervals for population proportions.

Polling: City

Polling: Neighborhood

Correlation last revised: 1/20/2017

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