# Pre-Algebra Academic Library

*First Semester*

## Pre-Algebra Online 1st Semester

**UNIT 1 – THE REAL NUMBER SYSTEM**

**Course Overview****Subsets of the Real Number System****Using Variables**__What Is A Variable____Why Aren’t We Using the Multiplication Sign__**Example: Evaluate a Formula Using Substitution**

**The Number Line****Comparing Rational Numbers****Rational Word Problems**__Recognizing Rational and Irrational Numbers__

**Decimal-Fraction Conversions****Quiz 1: Relationships****Alternate Quiz 1—Form A: Relationships****Alternate Quiz 1—Form B: Relationships****Properties of Real Numbers****Exponents****Introduction to Exponents**__Exponent Rules__

**Scientific Notation****Operations with Scientific Notation***(Use videos in the curriculum, the Resources 800 and the supplementary video in the previous assignment and work with your teacher)***Quiz 2: Other Forms****Alternate Quiz 2—Form A: Other Form**s**Alternate Quiz 2—Form B: Other Forms****Square Roots****Order of Operations****Quiz 3: Simplifying****Alternate Quiz 3—Form A: Simplifying****Alternate Quiz 3—Form B: Simplifying****Review****Test****Alternate Test—Form A****Alternate Test—Form B****Glossary and Credits**

**UNIT 2 – MODELING PROBLEMS IN INTEGERS**

**Translating Expressions and Equations****Solving One-Step Equations****Solving Two-Step Equations****Solving Equations with Exponents****Quiz 1: Equations with Real Numbers****Alternate Quiz 1—Form A: Equations with Real Numbers****Alternate Quiz 1—Form B: Equations with Real Numbers****Relations and Functions****Functions**__What Is a Function__**Relations and Functions**

**Analyzing Graphs****Quiz 2: Functions****Alternate Quiz 2—Form A: Functions****Alternate Quiz 2—Form B: Functions****Addition of Integers****Subtraction of Integers****Multiplying and Dividing Integers****Evaluating Expressions**__Evaluating Expressions and Variables –__*(There are a series of*__presentations on this Complete as many as needed to____understand the concepts covered in the lesson)__

**Quiz 3: Integers****Alternate Quiz 3—Form A: Integers****Alternate Quiz 3—Form B: Integers****Graphing****One-Step Equations****Two-Step Equations****Problem Solving****Quiz 4: Modeling with Integers****Alternate Quiz 4—Form A: Modeling with Integers****Alternate Quiz 4—Form B: Modeling with Integers****Review****Test****Alternate Test—Form A****Alternate Test—Form B****Glossary and Credits**

**UNIT 3 – MODELING PROBLEMS WITH RATIONAL NUMBERS**

**Prime Factorization and the GCF****Simplifying Fractions****The LCM and the LCD****Quiz 1: Number Theory****Alternate Quiz 1—Form A: Number Theory****Alternate Quiz 1—Form B: Number Theory****Adding and Subtracting Like Fractions****Adding and Subtracting Unlike Fractions****Adding and Subtracting Decimal Numbers****Multiplying and Dividing Fractions****Multiplying and Dividing Decimal Numbers****Irrational Numbers**__Intro to rational and irrational numbers__

**Quiz 2: Solving Problems with Rational Numbers****Alternate Quiz 2—Form A: Solving Problems with Rational Numbers****Alternate Quiz 2—Form B: Solving Problems with Rational Numbers****One-Step Addition and Subtraction Equations****One-Step Multiplication and Division Equations****Two-Step Equations****One-Step Inequalities****Two-Step Inequalities****Quiz 3: Solving Equations and Inequalities****Alternate Quiz 3—Form A: Solving Equations and Inequalities****Alternate Quiz 3—Form B: Solving Equations and Inequalities****Review****Test****Alternate Test—Form A****Alternate Test—Form B****Glossary and Credits**

**UNIT 4 – PROPORTIONAL REASONING**

**Proportions****Linear Applications****Direct Variation****Quiz 1: Proportions****Alternate Quiz 1—Form A: Proportions****Alternate Quiz 1—Form B: Proportions****Fraction, Percent and Decimal Equivalents****Solving Percent Problems****Applications of Ratios and Percent****More Applications with Percent****Quiz 2: Percents****Alternate Quiz 2—Form A: Percents****Alternate Quiz 2—Form B: Percents****Unit Conversion within Customary Units****Unit Conversion within Metric Units****Corresponding Parts****Indirect Measure****Models and Scales****Quiz 3: Measurement/Similar Figures****Alternate Quiz 3—Form A: Measurement/Similar Figures****Alternate Quiz 3—Form B: Measurement/Similar Figures****Project: Proportional Reasoning (F***ollow the directions given in the assignment to draw from a comic picture one frame and then to reproduce the Answer the following questions in more than 125 words –*Write about the similarity of the original comic to the enlargement. How similar are they and how can you tell? What would cause differences in the two pictures? If you drew another comic using a grid, is there anything you would do differently? What would happen if you reduced the comic’s size rather than enlarged it? Would the process be the same? What would you do differently?)**Review****Test****Alternate Test—Form A****Alternate Test—Form B****Glossary and Credits**

**UNIT 5 – MORE WITH FUNCTIONS**

**Rewriting Equations****Combine Like Terms****Solving Equations by Combining Like Terms****Distributive Property****Solving Equations with Distributive Property**__Solving equations with the distributive property____Solving equations with the distributive property 2__**Equations with parentheses**

**Solving Equations with Special Solutions****Literal Equations****Quiz 1: Solving Equations****Alternate Quiz 1—Form A: Solving Equations****Alternate Quiz 1—Form B: Solving Equations****Slope**__Slope of a line____Slope = Rise over “You have to RISE before you RUN”__

**Comparing Functions**__Comparing functions rate of change__

**Using Intercepts**__x- and y-intercepts____Graphing using x- and y-intercepts__

**Slope-Intercept Form**__Converting to slope-intercept form____Slope-Intercept Form y=mx+b__

**More Slope-Intercept Form**__Graphing Lines in Slope-Intercept form y=mx+b__

**Applications of Linear Functions**__Slope Intercept Form| Real World Applications Linear Equations____Real World Problems Using Linear Equations__

**Non-Linear Functions**__Recognizing linear functions__

**Quiz 2: Families of Functions****Alternate Quiz 2—Form A: Families of Functions****Alternate Quiz 2—Form B: Families of Functions****Graphing Systems of Linear Equations**__System of Equations: One Solution, No Solution, or Infinitely Many____Solutions__

**Solving Systems of Linear Equations Using Substitution**__Algebra – Solving Using Substitution Method__

**Solving Systems of Linear Equations Using Addition**__Solving Systems of Equations: The Addition Method__

**Application of Linear Systems**__Solving Systems of Equations: Coins__

**Quiz 3: Systems of Equations****Quiz 3: Alternate Quiz A: Systems of Equations****Quiz 3: Alternate Quiz B: Systems of Equations****Patterns and Arithmetic Sequences**__Figuring out days of the week____Arithmetic sequences____Arithmetic sequences 1__

**Geometric Sequences**__Geometric sequence or progression____Geometric sequences 1__

**Exponential Sequences**__Exponential growth functions__

**Recursive Sequences**__Explicit and recursive definitions of sequences__

**Quiz 4: Patterns****Alternate Quiz 4—Form A: Patterns****Alternate Quiz 4—Form B: Patterns****Review****Test****Alternate Test—Form A****Alternate Test—Form B****Glossary and Credits**