#### A2.1: Solving Problems

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

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

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

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: Numbers, expressions, and operations

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.

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

#### A2.3: Quadratic functions and 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.

#### A2.4: Exponential and logarithmic functions and equations

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

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

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

#### A2.5: Additional functions and 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).

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.

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.

#### A2.6: Probability, data, and distributions

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.

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

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.

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

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.