North Carolina- Mathematics: Integrated Mathematics 2

Standard Course of Study    Adopted: 2003

  1. Browse
  2. State Correlations
  3. North Carolina
  4. Mathematics: Integrated Mathematics 2

1: The learner will perform operations with numbers, algebraic expressions, and matrices to solve problems.

1.03: Model and solve problems using direct variation.

Determining a Spring Constant
 Direct Variation
 Direct and Inverse Variation

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

2.01: Find the lengths and midpoints of segments to solve problems.

Distance Formula - Activity A
 Geoboard: The Pythagorean Theorem
 Pythagorean Theorem - Activity A
 Pythagorean Theorem - Activity B

2.03: Use the trigonometric ratios to model and solve problems.

Cosine Function
 Sine Function
 Sine and Cosine Ratios - Activity A
 Sine, Cosine and Tangent
 Tangent Function
 Tangent Ratio

2.04: Describe the transformation (translation, reflection, rotation, dilation) of polygons in the coordinate plane in simple algebraic terms.

Dilations
 Reflections
 Rotations, Reflections and Translations
 Translations

3: The learner will collect, organize, and interpret data to solve problems.

3.01: Describe data to solve problems.

3.01.c: Determine measures of central tendency and spread.

Describing Data Using Statistics
 Line Plots
 Mean, Median and Mode

3.01.f: Compare distributions of data.

Populations and Samples

3.02: Create and use, for sets of data, calculator-generated models of linear, exponential, and quadratic functions to solve problems.

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

Correlation

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

4.01: Use systems of linear equations or inequalities in two variables to model and solve problems. Solve using tables, graphs, and algebraic properties; justify steps used.

Linear Programming - Activity A
 Modeling Linear Systems - Activity A
 Solving Linear Inequalities using Addition and Subtraction
 Solving Linear Inequalities using Multiplication and Division
 Special Types of Solutions to Linear Systems
 Systems of Linear Inequalities (Slope-intercept form) - Activity A

4.02: Use quadratic functions to model and solve problems; justify results.

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

Linear Inequalities in Two Variables - Activity A

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

Parabolas - Activity A
 Quadratic and Absolute Value Functions
 Quadratics in Factored Form
 Quadratics in Polynomial Form - Activity A
 Roots of a Quadratic

4.03: Use power models to solve problems.

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

Distance-Time Graphs
 Linear Inequalities in Two Variables - Activity A

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.