Course Overview:
This course covers the important topics necessary before a student takes on a full-fledged Algebra course. Student learns about monomials, polynomials, expressions and their properties. The course teaches how to solve for one-variable expressions. They also learn about analyzing data and making inferences based on different types of graphs.
Prerequisites:
Syllabus:
Section 1: Monomials
- Identifying Monomials
- Multiplying Monomials
- Dividing Monomials
- More Multiplication and Division with Monomials
- Powers of Monomials
- Word Problems
Section 2: Polynomials
- Introduction to Polynomials
- Addition and Subtraction with Polynomials
- Adding Polynomials to find the Perimeter
- Multiply a Polynomial by a Monomial
- Multiplying Two Binomials
- Multiplying Two Binomials: Special Cases
- Multiplying Polynomials
- Word Problems
Section 3: Expressions and Properties
- Writing Variable Expressions
- Writing Variable Expressions from Diagrams
- Writing Variable Expressions from Word Problems
- Evaluating One-Variable Expressions
- Evaluating Multi-Variable Expressions
- Identifying Terms and Coefficients
- Properties of Addition and Multiplication
- Distributive Property
- Equivalent Expressions
- Adding and Subtracting Like Terms
- Word Problems
Section 4: Equations with Variables
- Solving for x in an equation
- Writing an Equation from Word Problems
- Writing and Solving Equations with Diagrams
- Properties of Equalities
- Solving Two-Step Equations
- Solving Multi-Step Equations
- Solving Equations Involving Like Terms
- Solving Equations with Variables on Both Sides
- Word Problems
Section 5: Data and Graphs
- Interpreting Tables
- Interpreting Bar Graphs
- Creating Bar Graphs
- Interpreting Line Graphs
- Creating Line Graphs
- Interpreting Line Plots
- Creating Line Plots
- Creating and Interpreting Line Plots with Fractions
- Interpreting Stem and Leaf Plots
- Interpreting Histograms
- Creating Histograms
- Creating Frequency Charts
- Interpreting Blocks and Whisper Plots
- Scatter Plots
- Interpreting Circle Graphs
- Circle Graphs and Central Angles
- Choosing the best type of Graph
- Word Problems
