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We will focus on numbers used for counting, as well as arithmetic operations of addition, subtraction, multiplication, and division.

  • Adding and Subtracting Whole Numbers
  • Multiplying and Dividing Whole Numbers
  • Using the Language of Algebra
  • Evaluating, Simplifying, and Translating Expressions
  • Solving Equations Using the Subtraction and Addition Properties of Equality
  • Finding Multiples and Factors
  • Prime Factorization and the Least Common Multiple
  • Integers
  • Adding and Subtracting Integers
  • Multiplying and Dividing Integers
  • Solving Equations Using Integers; The Division Property of Equality

We will study examples of fractions we are already familiar with in everyday life.

  • Visualizing Fractions
  • Multiplying and Dividing Fractions
  • Multiplying and Dividing Mixed Numbers and Complex Fractions
  • Adding and Subtracting Fractions with Common Denominators
  • Adding and Subtracting Fractions with Different Denominators
  • Adding and Subtracting Mixed Numbers
  • Solving Equations with Fractions

We will explore decimal numbers and how to perform operations using them.

  • Decimals
  • Decimal Operations
  • Decimals and Fractions
  • Solving Equations with Decimals
  • Averages and Probability
  • Ratios and Rate
  • Simplifying and Using Square Roots

We will find out what percents are and how we can use them to solve problems.

  • Understanding Percent
  • Solving General Applications of Percent
  • Solving Sales Tax, Commission, and Discount Applications
  • Solving Simple Interest Applications
  • Solving Proportions and their Applications

We will learn about various types of numbers and their properties.

  • Rational and Irrational Numbers
  • Commutative and Associative Properties
  • Distributive Property
  • Properties of Identity, Inverses, and Zero
  • Systems of Measurement

We will solve equations by keeping quantities on both sides of an equal sign in perfect balance.

  • Solving Equations Using the Subtraction and Addition Properties of Equality
  • Solving Equations Using the Division and Multiplication Properties of Equality
  • Solving Equations with Variables and Constants on Both Sides
  • Solving Equations with Fraction or Decimal Coefficients

We will find out what polynomials are and how to manipulate them through basic mathematical operations.

  • Adding and Subtracting Polynomials
  • Using Multiplication Properties of Exponents
  • Multiplying Polynomials
  • Dividing Monomials
  • Integer Exponents and Scientific Notation
  • Introduction to Factoring Polynomials

We will discuss the basic concepts of graphing. 

  • Using the Rectangular Coordinate System
  • Graphing Linear Equations
  • Graphing with Intercepts
  • Understanding Slope of a Line