## Math 7/8

The goal of this course is to prepare students for Pre-Algebra.

This course reviews basic math concepts, number sense, computation/estimation, areas, and measurements, ensuring students have a solid mathematical foundation. Students are then introduced to the basics of percentages, algebra, and geometry. This course includes some hands-on learning activities to be completed individually and in groups.

**Prerequisite:** Placement by instructor

**Required Textbook:**

*Intermediate Mathematics*, Abeka, 1st edition , 2019, #294012 (available on Abeka.com)

**Supplies Needed:**

Loose leaf binder with paper or 3-subject notebook, ruler, and pencils

## Pre-Algebra

The goal of this course is to prepare students for Algebra 1 – Introductory Algebra.

Pre-Algebra provides the foundation for Algebra. Main topics include fractions, decimals, integers, ratios and proportions, solving equations, percents, introduction to geometry and graphing. This class will incorporate some hands-on learning activities (individual and group) to be completed in class.

**Prerequisite:** Math 7/8 or placement by instructor

**Required Textbook:**

*Barron’s Pre-Algebra The Easy Way*, August 2019, Caryl Lorandini, ISBN: 9781438012094 (available on Amazon.com)

Other worksheets will be added for instruction and homework, but will be provided by the instructor.

**Supplies Needed:**

Loose leaf binder and paper or a 3 subject notebook, graph paper or notebook, ruler, pencils, and calculator (used in some sections)

## Algebra 1 (Introductory Algebra)

**Students learn to:**

- Simplify expressions using the order of operations
- Solve linear equations and use them to solve application problems
- Solve linear inequalities and graph and express answers in interval form
- Find slope and intercepts of a linear equation in two variables
- Simplify expressions using laws of exponents
- Add, subtract, multiply and divide polynomials
- Factor polynomials
- Solve quadratic equations using multiple methods
- Solve systems of linear equations in two variables
- Write a linear equation given pertinent information

**Prerequisite:** Pre-Algebra or placement by instructor

**Required Textbook:**

*Introductory Algebra*, Miller, O’Neill, and Hyde, Third Edition, ISBN 978-0073384542 (available used on amazon.com)

**Supplies Needed:**

Paper, pencil, graph paper, loose leaf notebook

## Algebra 2 (Intermediate Algebra)

**Students learn to:**

- Solve polynomial equations by factoring
- Solve equations involving rational expressions and apply them
- Solve equations with radicals and rational exponents
- Perform operations with complex numbers
- Recognize functions defined by sets of ordered pairs, graphs, and equations and to apply function notation to applications
- Sketch graphs of linear relations and determine a linear equation in two

variables given pertinent information - Solve linear inequalities in one and two variables
- Solve quadratic equations using the quadratic formula, completing the

square, factoring, and extracting roots - Solve absolute value equations and inequalities

**Prerequisite**: Algebra 1 or placement by instructor

**Required Textbook:**

*Intermediate Algebra*, Miller, O’Neill, and Hyde, Third edition, ISBN 978-0073384429 (available used on amazon.com)

**Supplies Needed:**

Pencil, graph paper, loose leaf notebook, straight edge (six inch ruler will suffice)

## Geometry

**Pre-Requisite:** Algebra 1

NOTE: Students may take Geometry prior to or after taking Algebra 2.

**Required Textbook:**

*Barron’s Geometry The Easy Way*, Fifth Edition, ISBN: 9781438012117 (available on Amazon.com)

Other worksheets will be added for instruction and homework, but will be provided by the instructor.

**Supplies Needed: **

Loose leaf paper and binder or 3-subject notebook, pencils, ruler, compass, protractor and calculator

## Pre-Calculus with College Algebra

**Major Topics:**

- Solving polynomial equations including higher degree equations
- Solving radical equations with multiple radicals
- Factoring and performing operations with rational expressions
- Absolute value equations and inequalities
- Definitions of conic sections and derivation of their equations using the distance formula
- Review of functions, both linear and higher degree functions
- Logarithmic and exponential equations
- Definitions of trigonometric functions and their applications
- Proof of trigonometric identities
- Trigonometric form of a complex number
- Solving systems of equations using determinants and matrices
- Partial fraction decomposition
- Binomial Theorem
- Limit of a function

**Prerequisite**: Algebra 2

**Required Textbook:**

*Schaum’s Outlines Precalculus*, McGraw Hill, Fred Safier, ISBN 978-1260454208 (available used on amazon.com)

**Supplies Needed:**

Loose leaf notebook, paper, pencil, graph paper. compass, protractor, and scientific calculator