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Pre-Algebra ​Academic Library

First Semester

Pre-Algebra First Semester​

Pre-algebra is an introductory algebra course designed to prepare middle school students for Algebra I in high school.

The course focuses on strengthening needed skills in problem solving, integers, equations, and graphing. Students will begin to see the “big picture” of mathematics and learn how numeric, algebraic, and geometric concepts are woven together to build a foundation for higher mathematical thinking.

The math academic libraries are not considered as a replacement for the online curriculum, the media presentations, and instruction with daily lessons which must be completed including daily quizzes and unit tests or help from your teacher, but a supplement to the curriculum for additional practice and instruction available 24/7.

Go To 2nd Semester Pre-Algebra
HOMESCHOOL-HS-A

Pre-Algebra Online 1st Semester

UNIT 1 – THE REAL NUMBER SYSTEM

  1. Course Overview
  2. Subsets of the Real Number System
  3. Using Variables
  4. The Number Line
  5. Comparing Rational Numbers
  6. Decimal-Fraction Conversions
  7. Quiz 1: Relationships
  8. Alternate Quiz 1—Form A: Relationships
  9. Alternate Quiz 1—Form B: Relationships
  10. Properties of Real Numbers
  11. Exponents
  12. Scientific Notation
  13. 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)
  14. Quiz 2: Other Forms
  15. Alternate Quiz 2—Form A: Other Forms
  16. Alternate Quiz 2—Form B: Other Forms
  17. Square Roots
  18. Order of Operations
  19. Quiz 3: Simplifying
  20. Alternate Quiz 3—Form A: Simplifying
  21. Alternate Quiz 3—Form B: Simplifying
  22. Review
  23. Test
  24. Alternate Test—Form A
  25. Alternate Test—Form B
  26. Glossary and Credits
UNIT 2 – MODELING PROBLEMS IN INTEGERS

  1. Translating Expressions and Equations
  2. Solving One-Step Equations
  3. Solving Two-Step Equations
  4. Solving Equations with Exponents
  5. Quiz 1: Equations with Real Numbers
  6. Alternate Quiz 1—Form A: Equations with Real Numbers
  7. Alternate Quiz 1—Form B: Equations with Real Numbers
  8. Relations and Functions
  9. Functions
  10. Analyzing Graphs
  11. Quiz 2: Functions
  12. Alternate Quiz 2—Form A: Functions
  13. Alternate Quiz 2—Form B: Functions
  14. Addition of Integers
  15. Subtraction of Integers
  16. Multiplying and Dividing Integers
  17. 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)
  18. Quiz 3: Integers
  19. Alternate Quiz 3—Form A: Integers
  20. Alternate Quiz 3—Form B: Integers
  21. Graphing
  22. One-Step Equations
  23. Two-Step Equations
  24. Problem Solving
  25. Quiz 4: Modeling with Integers
  26. Alternate Quiz 4—Form A: Modeling with Integers
  27. Alternate Quiz 4—Form B: Modeling with Integers
  28. Review
  29. Test
  30. Alternate Test—Form A
  31. Alternate Test—Form B
  32. Glossary and Credits

 

UNIT 3 – MODELING PROBLEMS WITH RATIONAL NUMBERS

  1. Prime Factorization and the GCF
  2. Simplifying Fractions
  3. The LCM and the LCD
  4. Quiz 1: Number Theory
  5. Alternate Quiz 1—Form A: Number Theory
  6. Alternate Quiz 1—Form B: Number Theory
  7. Adding and Subtracting Like Fractions
  8. Adding and Subtracting Unlike Fractions
  9. Adding and Subtracting Decimal Numbers
  10. Multiplying and Dividing Fractions
  11. Multiplying and Dividing Decimal Numbers
  12. Irrational Numbers
    • Intro to rational and irrational numbers
  13. Quiz 2: Solving Problems with Rational Numbers
  14. Alternate Quiz 2—Form A: Solving Problems with Rational Numbers
  15. Alternate Quiz 2—Form B: Solving Problems with Rational Numbers
  16. One-Step Addition and Subtraction Equations
  17. One-Step Multiplication and Division Equations
  18. Two-Step Equations
  19. One-Step Inequalities
  20. Two-Step Inequalities
  21. Quiz 3: Solving Equations and Inequalities
  22. Alternate Quiz 3—Form A: Solving Equations and Inequalities
  23. Alternate Quiz 3—Form B: Solving Equations and Inequalities
  24. Review
  25. Test
  26. Alternate Test—Form A
  27. Alternate Test—Form B
  28. Glossary and Credits

UNIT 4 – PROPORTIONAL REASONING

  1. Proportions
  2. Linear Applications
  3. Direct Variation
  4. Quiz 1: Proportions
  5. Alternate Quiz 1—Form A: Proportions
  6. Alternate Quiz 1—Form B: Proportions
  7. Fraction, Percent and Decimal Equivalents
  8. Solving Percent Problems
  9. Applications of Ratios and Percent
  10. More Applications with Percent
  11. Quiz 2: Percents
  12. Alternate Quiz 2—Form A: Percents
  13. Alternate Quiz 2—Form B: Percents
  14. Unit Conversion within Customary Units
  15. Unit Conversion within Metric Units
  16. Corresponding Parts
  17. Indirect Measure
  18. Models and Scales
  19. Quiz 3: Measurement/Similar Figures
  20. Alternate Quiz 3—Form A: Measurement/Similar Figures
  21. Alternate Quiz 3—Form B: Measurement/Similar Figures
  22. Project: Proportional Reasoning (Follow 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?)
  23. Review
  24. Test
  25. Alternate Test—Form A
  26. Alternate Test—Form B
  27. Glossary and Credits

UNIT 5 – MORE WITH FUNCTIONS

  1. Rewriting Equations
  2. Combine Like Terms
  3. Solving Equations by Combining Like Terms
  4. Distributive Property
  5. Solving Equations with Distributive Property
  6. Solving Equations with Special Solutions
  7. Literal Equations
  8. Quiz 1: Solving Equations
  9. Alternate Quiz 1—Form A: Solving Equations
  10. Alternate Quiz 1—Form B: Solving Equations
  11. Slope
    • Slope of a line
    • Slope = Rise over “You have to RISE before you RUN”
  12. Comparing Functions
    • Comparing functions rate of change
  13. Using Intercepts
    • x- and y-intercepts
    • Graphing using x- and y-intercepts
  14. Slope-Intercept Form
    • Converting to slope-intercept form
    • Slope-Intercept Form y=mx+b
  15. More Slope-Intercept Form
    • Graphing Lines in Slope-Intercept form y=mx+b
  16. Applications of Linear Functions
    • Slope Intercept Form| Real World Applications Linear Equations
    • Real World Problems Using Linear Equations
  17. Non-Linear Functions
    • Recognizing linear functions
  18. Quiz 2: Families of Functions
  19. Alternate Quiz 2—Form A: Families of Functions
  20. Alternate Quiz 2—Form B: Families of Functions
  21. Graphing Systems of Linear Equations
    • System of Equations: One Solution, No Solution, or Infinitely Many Solutions
  22. Solving Systems of Linear Equations Using Substitution
    • Algebra – Solving Using Substitution Method
  23. Solving Systems of Linear Equations Using Addition
    • Solving Systems of Equations: The Addition Method
  24. Application of Linear Systems
    • Solving Systems of Equations: Coins
  25. Quiz 3: Systems of Equations
  26. Quiz 3: Alternate Quiz A: Systems of Equations
  27. Quiz 3: Alternate Quiz B: Systems of Equations
  28. Patterns and Arithmetic Sequences
    • Figuring out days of the week
    • Arithmetic sequences
    • Arithmetic sequences 1
  29. Geometric Sequences
    • Geometric sequence or progression
    • Geometric sequences 1
  30. Exponential Sequences
    • Exponential growth functions
  31. Recursive Sequences
    • Explicit and recursive definitions of sequences
  32. Quiz 4: Patterns
  33. Alternate Quiz 4—Form A: Patterns
  34. Alternate Quiz 4—Form B: Patterns
  35. Review
  36. Test
  37. Alternate Test—Form A
  38. Alternate Test—Form B
  39. Glossary and Credits