This material is based upon work supported by the National Science Foundation under Grant No

	This material is based upon work supported by the National Science Foundation under Grant No. DUE-0336493
	STEP- Science, Technology, Engineering, and Mathematics Talent Expansion Program
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DREAM CATCHERS:
Topics of Basic Algebra

Text Box: DREAM CATCHERS:
Topics of Basic Algebra

Science is taking us in the direction of our dreams.

Mathematics is the language of science.

If you plan to achieve your dreams,

you must learn to speak the language of dreamers.

1. Know the Language--Symbols and Sets

2. Make Decisions--Variables

3. Understand--Properties of Real Numbers

I. Know the language--SYMBOLS AND SETS

The symbols used in mathematics will allow you to organize and explain your ideas.

The Number Line, Graphing Numbers on the Number Line, Order Relation, Sets and Set Notation, The Negative Symbol & The Opposite, Absolute Value, Grouping Symbols, Order of Operations Agreement, Operations with Real Numbers

II. Make decisions--VARIABLES

Analyzing and evaluating conditions and selecting a course of action are useful skills when making decisions ranging from choosing a college to investing for your retirement.

Using Set Notation, Domain, Variable Expressions, Evaluating Expressions, Simplifying Variable Expressions--Combining Like Terms, Simplifying Variable Expressions--Multiplication and the Distributive Property, Solving Equations, Translating, Word Problems

III. Understand --PROPERTIES OF REAL NUMBERS

Understanding the regular structure of mathematics is fundamental to making full use of the many applications of mathematics.

Commutative, Association, Identity, Multiplication Property of Zero, Division by Zero, Inverse, Distributive, Reflexive, Symmetric, Transitive, Addition Property of Equations, Multiplication Property of Equations

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	Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.