2. Intro to High School Math

Course Description:

Intro to High School Math is specifically designed for those students who may want extra practice with the concepts from Math 6 and Pre-Algebra and be more gradually eased into their high school mathematics curriculum. The course will prepare students for the rigors of high school math classes by giving them extra review of the essential background topics, and easing them in to the new material.

The textbook is:

As this is a unique course which blends the topics of Pre-Algebra and Algebra 1 together, it will use a variety of resources, including a Pre-Algebra and Algebra 1 textbook topics, plus workbooks, online resources, etc. Please contact Clayton Payne <claytonpayne@grauerschool.com> if you have any questions about the course resources!

The teacher is:

Clayton Payne

Detailed Course Topic List:

• 1. Number Skills

     1. Integers (Add, subtract, multiply, and divide)

     2. Decimals (Add, subtract, multiply, and divide)

     3. Fractions (Add, subtract, multiply, and divide)

     4. Convert between fractions, decimals and percents

     5. Use whole number exponents properly for numerical bases

     6. GFC and LCM – and use them to compare/combine fractions

     7. PEMDAS!!

  2. Graphing and Equations

• • 1. Students graph and interpret linear functions

       1. Represent quantitative relationships graphically and understand the meaning of a graph

       2. Slope = rise/run = vertical change/horizontal change = constant

    2. Students solve 1 or 2 step linear equations and inequalities using rational numbers and only one variable

• 3. Statistics

• • 1. Students collect, organize, and represent data sets that have one or more variables

    2. Data Analysis (mean, median, mode)

• 4. Properties of Numbers and Variables

• • 1. Exponents when the base is a variable

    2. Add, subtract, multiply, divide: monomials

    3. Add, subtract, multiply: polynomials (specifically FOIL)

    4. Multi-step single variable equations – solve for an unknown

    5. Factoring out common factors

• 5. Proportions

• • 1. Opposites (x à -x) vs Reciprocals (x à1/x)

    2. Ratios – solving for x

• 6. Functions

• • 1. Definition / notation

    2. Domain and range

    3. Identification / graphing / vertical line test

    4. Input/output relation

• 7. Linear Equations

• • 1. Solving two-variable equations for a single variable

    2. Graphing (techniques for graphing easily – T-table, intercept-slope, intercept-intercept)

    3. Inequalities (solving and graphing)

    4. Intercepts

    5. Verify points on a line

• 8. Quadratic Functions

• • 1. Concept of a parabola and the graph for y = x2

    2. Solving quadratic equations

• 9. Advanced Equations Introduction

• • 1. Solving absolute value equations

    2. Solving square root equations

    3. Midpoint and distance formula