North Carolina- Mathematics: Introductory Mathematics

Standard Course of Study    Adopted: 2003

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1: The learner will understand and compute with real numbers.

1.01: Develop number sense for the real numbers.

1.01.b: Compare and order.

Comparing and Ordering Decimals
 Comparing and Ordering Fractions
 Comparing and Ordering Rational Numbers

2: The learner will use properties and relationships in geometry and measurement concepts to solve problems.

2.01: Determine the effect on perimeter, area or volume when one or more dimensions of two- and three-dimensional figures are changed.

Area of Parallelograms - Activity A
 Minimize Perimeter
 Prisms and Cylinders - Activity A

2.04: Apply geometric properties and relationships, including the Pythagorean theorem, to solve problems.

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

2.05: Identify, predict, and describe dilations in the coordinate plane.

Dilations

3: The learner will understand and use graphs and data analysis.

3.01: Collect, organize, analyze, and display data (including scatterplots) to solve problems.

Correlation
 Scatter Plots - Activity A
 Solving Using Trend Lines

3.02: Approximate a line of best fit for a given scatterplot; explain the meaning of the line as it relates to the problem and make predictions.

Correlation
 Lines of Best Fit Using Least Squares - Activity A
 Scatter Plots - Activity A
 Solving Using Trend Lines

4: The learner will understand and use linear relations and functions.

4.01: Develop an understanding of function.

4.01.a: Translate among verbal, tabular, graphic, and algebraic representations of functions.

Exponential Functions - Activity A
 Introduction to Functions
 Linear Functions
 Using Tables, Rules and Graphs

4.01.b: Identify relations and functions as linear or nonlinear.

Function Machines 2 (Functions, Tables, and Graphs)
 Linear Functions
 Using Tables, Rules and Graphs

4.01.c: Find, identify, and interpret the slope (rate of change) and intercepts of a linear relation.

Direct Variation
 Direct and Inverse Variation
 Distance-Time Graphs
 Distance-Time and Velocity-Time Graphs
 Function Machines 2 (Functions, Tables, and Graphs)
 Linear Functions
 Modeling Linear Systems - Activity A
 Point-Slope Form of a Line - Activity A
 Polynomials and Linear Factors
 Slope-Intercept Form of a Line - Activity A

4.01.d: Interpret and compare properties of linear functions from tables, graphs, or equations.

Exponential Functions - Activity A
 Function Machines 2 (Functions, Tables, and Graphs)
 Linear Functions
 Modeling Linear Systems - Activity A
 Point-Slope Form of a Line - Activity A
 Quadratic and Absolute Value Functions
 Slope-Intercept Form of a Line - Activity A
 Using Tables, Rules and Graphs

4.02: Write an equation of a linear relationship given: two points, the slope and one point on the line, or the slope and y-intercept.

Defining a Line with Two Points
 Function Machines 2 (Functions, Tables, and Graphs)
 Linear Functions
 Point-Slope Form of a Line - Activity A
 Slope - Activity B
 Slope-Intercept Form of a Line - Activity A
 Standard Form of a Line
 Using Tables, Rules and Graphs

4.03: Solve problems using linear equations and inequalities; justify symbolically and graphically.

Modeling and Solving Two-Step Equations
 Solving Equations By Graphing Each Side
 Solving Linear Inequalities using Addition and Subtraction
 Solving Linear Inequalities using Multiplication and Division
 Solving Two-Step Equations
 Systems of Linear Inequalities (Slope-intercept form) - Activity A

4.04: Solve problems using the inverse relationships of addition and subtraction, multiplication and division, squares and square roots, and cubes and cube roots.

Function Machines 3 (Functions and Problem Solving)
 Modeling One-Step Equations - Activity A
 Modeling and Solving Two-Step Equations
 Solving Formulas for any Variable
 Solving Two-Step Equations
 Square Roots

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.