# PRE-ALGEBRA

** Prerequisites:** Open to all students

** Level:** 9 th grade

** Credits:** 1.0

**Course Description**

This course will serve as an introduction and review of concepts that are key to the study of algebra. Important topics covered include real numbers, ratios, fractions, number representations, equations and problem solving strategies. Understanding concepts, participation and memorization will be important keys for success in this class.

** Course Objectives 1 **

** **Students in this course should be able to

- Understand patterns and relations.
- Represent and analyze mathematical situations and structures using algebraic symbols.
- Use mathematical models to represent and understand quantitative relationships.
- Analyze change in various contexts.

- Students will be able to operate the Accel-Scan scanner to grade Accelerated Math

## Course Outline

** Integers **
- Comparing and ordering
- Addition
- Subtraction
- Multiplication
- Division

** Variables and Expressions **
- Evaluating expressions
- Order of operations
- Basic properties
- Distributive property
- Perimeter, area, and average
- Area Formulas for: Parallelograms, Triangles and Trapezoids

** Equations **
- Equations and inequalities
- Solving equations
- Solving addition and subtraction equations
- Solving multiplication and division equations
- Inverse operations
- Solving multi-step equations
- Translating word expressions to algebraic expressions
- Writing algebraic equations

- Factors and multiples
- Tests for divisibility
- Prime numbers
- Prime factorization
- Exponents
- LCM and GCF

** Fractions **
- Equivalent fractions
- Multiplying fractions and mixed numbers
- Using reciprocals to solve equations
- Dividing fractions and mixed numbers
- Adding and subtracting fractions with like and unlike denominators
- Subtracting mixed numbers. (Borrowing from the whole number)

** Probability **
- Ratio and proportion
- Ratio and Measurement
- Collecting data
- Recording chances
- Probability
- Independent and dependent events
- Making choices
- Permutations

** Decimals **
- Rational expressions
- Rational numbers
- Decimals and fractions
- Repeating decimals
- Estimating sums and differences
- Powers of ten
- Scientific notation
- The metric system
- Estimating products and quotients of decimals

** Percent **
- The meaning of percent
- Decimals and percents
- Estimating the percent of a number
- Deciding on estimates
- Finding the percent of a number
- Interest
- Discount
- Solving percent equations and proportions
- Percent increase and decrease

** Analyzing Data **
- Misleading graphs
- Using data from graphs and tables
- Organizing and presenting data
- Measures of central tendency
- Analyzing sample data
- Stem and leaf plots
- Box and whisker plots

** The Number Line **
- The set of real numbers
- The addition property of inequality
- The multiplication property of inequality
- Solving inequalities
- Conjunctions
- Disjunctions

** The Coordinate Plane **
- Coordinate graphs
- Graphing linear equations
- Standard from of a linear equation
- Slope of a line
- Graphing equations and inequalities
- Using two variables
- Translations

** Square Roots and Right Triangles **
- Square root basics
- Using square roots
- The Pythagorean Theorem
- Similar Triangles
- The Tangent ratio

## Teaching Methods

This class is taught mainly through lecture and practice. Students are given comprehensive overviews of each section, which are followed by in-class practice. Students are often given the opportunity to perform their skills in front of the class where their peers can confirm solutions or offer their own suggestions. Daily assignments are a major part of the mathematical learning process. Students are expected to complete every assignment and give full participation in class for successful completion of this course.

## Assessment

Students will be assessed with the following:

## Texts

Pre-Algebra , Prentice Hall Publishing, 2004

** Supplemental Program**

Renaissance Learning Web-Based Software, 2000-2006