Developmental Mathematics: North Carolina Curriculum

1.1 Introduction to Integers

1.2 Addition with Integers

1.3 Subtraction with Integers

1.4 Multiplication and Division with Integers

1.5 Applications: Change in Value and Average

1.6 Exponents and Order of Operations

1.7 Square Roots and the Pythagorean Theorem

1.8 Angles

1.9 Perimeter

1.10 Area

2.1a Tests for Divisibility

2.1b Prime Numbers

2.1c Prime Factorization

2.2 Least Common Multiple (LCM)

2.3 Introduction to Fractions

2.4 Multiplication and Division with Fractions and Mixed Numbers

2.5 Addition and Subtraction with Fractions

2.6 Addition and Subtraction with Mixed Numbers

2.7 Order of Operations with Fractions and Mixed Numbers

2.8 Reading, Writing, and Rounding Decimal Numbers

2.9 Addition and Subtraction with Decimal Numbers

2.10 Multiplication and Division with Decimal Numbers

2.11 Decimals, Fractions, and Scientific Notation

2.12 Circles

3.1 Ratios and Proportions

3.2 Solving Proportions

3.3 Basics of Percent

3.4 Solving Percent Problems

3.5 Applications: Discount, Sales Tax, Commission, and Percent Increase/Decrease

3.6 Applications: Profit, Simple Interest, and Compound Interest

3.7 Similar Triangles

3.8 U.S. Measurements

3.9 The Metric System - Length

3.10 The Metric System - Capacity and Weight

3.11 U.S. Customary Measurements and Metric Equivalents

4.1a Variables and Algebraic Expressions

4.1b Simplifying Expressions

4.1c Evaluating Algebraic Expressions

4.2 Translating English Phrases and Algebraic Expressions

4.3a Solving Linear Equations: x + b = c

4.3b Solving Linear Equations: ax = c

4.4 Solving Linear Equations: ax + b = c

4.5 Solving Linear Equations: ax + b = cx + d

4.6 Linear Inequalities

4.7 Applications: Number Problems, Consecutive Integers, and Inequalities

4.8 Working with Formulas

4.9 Applications: Distance - Rate - Time, Interest, Average, Cost

5.1 Reading Graphs

5.2 The Cartesian Coordinate System

5.3 Graphing Linear Equations in Two Variables

5.4 The Slope - Intercept Form

5.5a The Point - Slope Form

5.5b Parallel and Perpendicular Lines

5.6 Introduction to Functions

6.1 Introduction to Polynomials

6.2 Addition and Subtraction with Polynomials

6.3a Exponents I

6.3b Exponents II

6.4 Multiplication with Polynomials

6.5a The FOIL Method

6.5b Special Products of Polynomials

6.6a Division by a Monomial

6.6b Greatest Common Factor of a Set of Terms

6.6c Greatest Common Factor of a Polynomial

6.6d Factor Polynomials by Grouping

6.7 Factoring Trinomials: x^2 + bx + c

6.8a Factoring Trinomials Using the Trial - and - Error Method

6.8b Factoring Trinomials Using the ac - Method

6.9 Special Factoring Techniques

6.10 Solving Quadratic Equations by Factoring

6.11 Applications of Quadratic Equations

6.12 Quadratic Functions: y = ax^2 + bx + c

7.1 Introduction to Rational Expressions

7.2 Multiplication and Division with Rational Expressions

7.3 Addition and Subtraction with Rational Expressions

7.4 Solving Rational Equations

7.5 Applications: Rational Expressions

7.6 Applications: Variation

8.1 Radical Expressions

8.2 Simplifying Radical Expressions

8.3 Rational Exponents

8.4a Addition and Subtraction with Radicals

8.4b Multiplication with Radicals

8.5 Rationalizing Denominators

8.6 Solving Radical Equations

8.7a The Square Root Method

8.7b Completing the Square

8.8a The Quadratic Formula

8.8b Applications: Quadratic Equations

8.9 Functions with Radicals