North Carolina- Mathematics: Precalculus

Standard Course of Study    Adopted: 2003

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1: The learner will describe geometric figures in the coordinate plane algebraically.

1.01: Transform relations in two dimensions; describe the results algebraically and geometrically.

Translating and Scaling Functions

1.02: Use the quadratic relations (parabola, circle, ellipse, hyperbola) to model and solve problems; justify results.

1.02.a: Solve using tables, graphs, and algebraic properties.

Ellipse - Activity A
 Hyperbola - Activity A
 Parabolas - Activity A

1.02.b: Interpret the constants and coefficients in the context of the problem.

Ellipse - Activity A
 Hyperbola - Activity A
 Parabolas - Activity A

2: The learner will use relations and functions to solve problems.

2.01: Use functions (polynomial, power, rational, exponential, logarithmic, logistic, piecewise-defined, and greatest integer) to model and solve problems; justify results.

2.01.a: Solve using graphs and algebraic properties.

Distance-Time Graphs
 Exponential Functions - Activity A
 Fourth-Degree Polynomials - Activity A
 General Form of a Rational Function
 Logarithmic Functions - Activity A
 Logarithmic Functions: Translating and Scaling
 Rational Functions

2.01.b: Interpret the constants, coefficients, and bases in the context of the problem.

Exponential Functions - Activity A
 Fourth-Degree Polynomials - Activity A
 General Form of a Rational Function
 Logarithmic Functions - Activity A
 Logarithmic Functions: Translating and Scaling
 Rational Functions

2.02: Use trigonometric and inverse trigonometric functions to model and solve problems; justify results.

2.02.a: Solve using graphs and algebraic properties.

Cosine Function
 Distance-Time Graphs
 Sine Function
 Tangent Function

2.02.b: Create and identify transformations with respect to period, amplitude, and vertical and horizontal shifts.

Translating and Scaling Functions
 Translating and Scaling Sine and Cosine Functions - Activity A

2.03: For sets of data, create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, logistic, and logarithmic functions.

2.03.a: Interpret the constants, coefficients, and bases in the context of the data.

Exponential Functions - Activity A
 Fourth-Degree Polynomials - Activity A
 Function Machines 2 (Functions, Tables, and Graphs)
 Logarithmic Functions - Activity A
 Logarithmic Functions: Translating and Scaling
 Sine Function
 Tangent Function

2.04: Use the composition and inverse of functions to model and solve problems.

Function Machines 3 (Functions and Problem Solving)

2.05: Use polar equations to model and solve problems.

2.05.a: Solve using graphs and algebraic properties.

Distance-Time Graphs

2.06: Use parametric equations to model and solve problems.

Modeling and Solving Two-Step Equations

2.07: Use recursively-defined functions to model and solve problems.

2.07.d: Translate between recursive and explicit representations.

Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Geometric Sequences

Correlation last revised: 9/3/2015

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