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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