ResourceMAP - Basic Algebra - Teacher Edition

ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regular classes as well as in special test-preparation settings. Each module contains a set of contextual problems in several formats: multi-part open response, short response, and multiple-choice. Accompanying the problem set are tip sheets that serve several purposes including lists of formulas, calculator instruction, and brief reviews of the module's underlying mathematics. Also provided are teacher notes (the module purpose, the mathematical focus, and implementation commentary), answers to all problems, and (in a few cases) handout masters.

Basic Algebra

Many people use formulas. Formulas and the way they work are a big part of basic
algebra. A formula is an equation that describes the way two or more variables are
related. (A variable is a quantity that changes; that is, it takes on different values.)
The simplest formulas describe how two variables are related and involve only basic
calculations: adding, subtracting, multiplying, or dividing.

I. Purpose
• To write and use formulas given a verbal description of a real-world situation
• To use basic algebraic properties to evaluate and simplify expressions and to
solve simple linear equations

II. Mathematical Focus
• Writing formulas from verbal descriptions
• Evaluating and simplifying expressions
• Solving linear equations

III. Tip Sheets
Two Tip Sheets accompany this module.
• Expressions: This Tip Sheet reviews simplifying and evaluating expressions.
Included in the review are discussions of order of operations and
commutative, associative, and distributive properties. If your students need a
review of these ideas, you may want to use algebra tiles as discussed in these
notes.
• Equations: This Tip Sheet reviews solving simple linear equations. Arrow
diagrams are used to help students visualize the process, and equivalent
expressions are mentioned. If your students need a review of these ideas, you
may also want to use algebra tiles as discussed in these notes.