Pre-Algebra

What: One academic year of live instruction and grading for Pre-Algebra topics.

When: Mon/Wed/Thur, class meets 3x per week

Time: 2:30-3:30 pm (Eastern)

Prerequisites: Successful completion of Grade 7 math skills or by placement test.

Includes: Includes 96 hours of live instruction through the school year. Also, includes curriculum, grading, and support through the year.

Scope and Sequence

Unit 1: Whole Numbers

• Introduction to Whole Numbers

• Add Whole Numbers

• Subtract Whole Numbers

• Multiply Whole Numbers

• Divide Whole Numbers

Unit 2: The Language of Algebra

• Use the Language of Algebra

• Evaluate, Simplify, and Translate Expressions

• Solving Equations Using the Subtraction and Addition Properties of Equality

• Find Multiples and Factors

• Prime Factorization and the Least Common Multiple

Unit 3: Integers

• Introduction to Integers

• Add Integers

• Subtract Integers

• Multiply and Divide Integers

• Solve Equations Using Integers; The Division Property of Equality

Unit 4: Fractions

• Visualize Fractions

• Multiply and Divide Fractions

• Multiply and Divide Mixed Numbers and Complex Fractions

• Add and Subtract Fractions with Common Denominators

• Add and Subtract Fractions with Different Denominators

• Add and Subtract Mixed Numbers

• Solve Equations with Fractions

Unit 5: Decimals and Data

• Decimal Operations

• Decimals and Fractions

• Solve Equations with Decimals

• Mean, Median, Mode, and Range

• Simple Probability

• Compound Probability

• Ratios and Rate

• Simplify and Use Square Roots

Unit 6: Percents

• Understand Percent

• Converting Between Fractions, Decimals, and Percents

• Solve General Applications of Percent Solve Sales Tax, Commission, and Discount Applications

• Solve Simple Interest Applications

• Solve Proportions and their Applications

Unit 7: Solving Linear Equations

• Solve Equations Using the Subtraction and Addition Properties of Equality

• Solve Equations Using the Division and Multiplication Properties of Equality

• Solve Equations with Variables and Constants on Both Sides

• Solve Equations with Fraction or Decimal Coefficients

Unit 8: Inequalities

• Graphing and Solving Inequalities

• Solving 2-step Inequalities

• Translating Inequalities

• Word Problems

Unit 9: Geometry and Measurement

• Use a Problem Solving Strategy

• Solve Money Applications

• Use Properties of Angles, Triangles, and the Pythagorean Theorem

• Use Properties of Rectangles, Triangles, and Trapezoids

• Solve Geometry Applications: Circles and Irregular Figures

• Solve Geometry Applications: Volume and Surface Area

• Solve a Formula for a Specific Variable

• Transformations in the Coordinate Plane

Unit 10: Polynomials

• Introduction to Polynomials

• Adding and Subtracting Polynomials

• Properties of Exponents

• Multiplying Polynomials

• Dividing Polynomials

• Negative Exponents

• Scientific Notation

• Factoring Polynomials using GCF

Unit 11: Graphing Linear Equations

• The Coordinate Plane

• Graphing Using a Table of Values

• Finding x- and y- intercepts

• Slope

Unit 12: Transformations

• Translations

• Reflections

• Rotations