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MATH 700 ACADEMIC LIBRARY

First Semester

Math 700 Online

Mathematics 700 is designed to prepare middle school students for Pre-algebra. This course focuses on strengthening needed skills in problem solving, number sense, and proportional reasoning. It also introduces students to integers, equations, and geometric concepts. 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.

Go To 2nd Semester Math 700
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Math 700 Online First Semester

Unit 1 – Integers
  1. Course Overview
  2. Integers on the Number Line
    1. Adding Integers Using a Number Line
  3. Comparing and Ordering Integers
    1. Points on a Number Line
    2. Ordering Rational Numbers  
  4. Absolute Value
    1. Absolute Value and Number Line  
    2. Absolute Value 1 
    3. Absolute value of integers 
    4. Comparing absolute values 
    5. Greater than and less than symbols  
    6. Inequalities on a number line  
    7. ​Equal, Greater or Less Than  
  5. Quiz 1: Integers
  6. Alternate Quiz 1—Form A: Integers
  7. Alternate Quiz 1—Form B: Integers
  8. Adding Integers with the Same Sign
    1. Adding Negative Numbers  
    2. Adding and Subtracting Negative Number Examples 
  9. Adding Integers with Different Signs
    1. Adding Integers with Different Signs  
  10. Subtracting Integers
    1. Subtracting Integers using Number Line 
    2. Adding and Subtracting Negative Number Examples  
  11. Quiz 2: Adding and Subtracting Integers
  12. Alternate Quiz 2—Form A: Adding and Subtracting Integers
  13. Alternate Quiz 2—Form B: Adding and Subtracting Integers
  14. Multiplying Integers
    1. Multiplying Positive and Negative Numbers
    2. Why Negative Times a Negative is a Positive  
  15. Dividing Integers
    1. Dividing Positive and Negative Numbers  
  16. Using Integers (Use the above instructional presentations, your Ignitia material, and work with your teacher to complete these assignments)
  17. Quiz 3: Multiplying and Dividing Integers
  18. Alternate Quiz 3—Form A: Multiplying and Dividing Integers
  19. Alternate Quiz 3—Form B: Multiplying and Dividing Integers
  20. The Real Number System
    1. Introduction to Rational and Irrational Numbers  
    2. Recognizing Irrational Numbers  
  21. Real Number Properties
    1. Commutative Law of Addition 
    2. Commutative Law of Multiplication  
    3. Associative Law of Addition  
    4. Associative Law of Multiplication  
    5. Properties of Real Numbers   ​
  22. The Distributive Property
    1. The Distributive Property  
    2. The Distributive Property 2  
  23. Order of Operations
    1. Introduction to Order of Operations  
    2. Order of Operations 
  24. Exponents and the Order of Operations
    1. Order of Operations With Exponents  
  25. Quiz 4: The Real Number System
  26. Alternate Quiz 4—Form A: The Real Number System
  27. Alternate Quiz 4—Form B: The Real Number System
  28. Review
  29. Test
  30. Alternate Test—Form A
  31. Alternate Test—Form B
  32. Glossary and Credits
Unit 2 – Fractions
  1. Fractions and Mixed Numbers
    1. Introduction to Fractions 
    2. Mixed Number and Improper Fractions  
    3. Proper and Improper Fractions  
    4. Changing an Improper Fraction to a Mixed Number  
  2. Equivalent Fractions
    1. Equivalent Fractions  
  3. Divisibility Rules and Prime Factorization
    1. Prime Factorization  
    2. Prime Factorization Exercise  
    3. Prime Factorization Example  
  4. Greatest Common Factor and Least Common Multiple
    1. Greatest Common Divisor  
    2. Greatest Common Factor Divisor Exercise 
    3. Least Common Multiple  
    4. Least Common Multiple Exercise 
  5. Quiz 1: Working with Fractions
  6. Alternate Quiz 1—Form A: Working with Fractions
  7. Alternate Quiz 1—Form B: Working with Fractions
  8. Adding and Subtracting Fractions with Like Denominators
    1. Adding Fractions With Like Denominators  
    2. Adding Fractions With Common Denominators Example 
    3. Subtracting Fractions 
    4. Subtracting Fractions With Common Denominators Example  
  9. Adding and Subtracting Fractions with Unlike Denominators
    1. Adding Fractions With Different Denominators  
    2. Adding Fractions  
    3. Subtracting Fractions With Unlike Denominators    
  10. Reducing Fractions
    1. Fractions In Lowest Terms  
    2. Equivalent Fractions  
  11. Quiz 2: Adding and Subtracting Fractions
  12. Alternate Quiz 2—Form A: Adding and Subtracting Fractions
  13. Alternate Quiz 2—Form B: Adding and Subtracting Fractions
  14. Comparing and Ordering Fractions
    1. Comparing Fractions With Greater Than and Larger Than Symbols  
    2. Comparing Fractions With Like Numerators and Denominators  
    3. Ordering Fractions  
  15. Multiplying Fractions
    1. Multiplying Fractions
    2. Multiplying a Fraction By a Fraction  
    3. Multiplying Fractions by a Whole Number 
  16. Dividing Fractions
    1. Conceptual Understanding of Dividing Fraction by Fractions 
    2. Another Dividing Fractions Example  
    3. Dividing Fraction Example  
  17. Quiz 3: Multiplying and Dividing Fractions
  18. Alternate Quiz 3—Form A: Multiplying and Dividing Fractions
  19. Alternate Quiz 3—Form B: Multiplying and Dividing Fractions
  20. Project: Chef for a Day (Imagine you are the pastry chef at your favorite restaurant. The manager has just told you that you have a large crowd coming in for breakfast tomorrow and you need to prepare. This project includes the ingredients for two recipes. You need to modify each recipe to serve 30 people. Answer the questions given about each recipe)
  21. Review
  22. Test
  23. Alternate Test—Form A
  24. Alternate Test—Form B
  25. Glossary and Credits
Unit 3 – Decimals
  1. Comparing and Ordering Decimals
    1. Comparing Decimal Example 3  
    2. Comparing Decimal Example 4 
    3. Ordering Decimals Example  
    4. Another Ordering Decimals Example  
    5. Ordering Decimals  
  2. Rounding and Estimating Decimals
    1. Rounding Decimals  
  3. Adding and Subtracting Decimals
    1. Adding Decimals 1  
    2. Adding Decimals 2  
    3. Adding Decimals 3  
    4. Subtracting Decimals 
    5. Subtracting Decimals Up to Hundredths 
  4. Multiplying and Dividing Decimals
    1. Intro to Multiplying Decimals 
    2. Multiplying Decimals 
    3. More Involved Multiplying Decimals Example  
    4. Dividing Decimals  
    5. Dividing Decimal
  5. Quiz 1: Decimals and Their Operations
  6. Alternate Quiz 1—Form A: Decimals and Their Operations
  7. Alternate Quiz 1—Form B: Decimals and Their Operations
  8. Terminating and Repeating Decimals
    1. Expressing Fractions as Terminating or Repeating Decimals
    2. GMAT Math Model Question 1 – terminating decimal
    3. Terminating and Repeating Decimals 127-4.1
    4. Converting a Fraction to a Repeating Decimal  
  9. Fractions as Decimals
    1. Converting Fractions to Decimals  
    2. Converting Factions to Decimals Ex1  
    3. Converting Factions to Decimals Ex2 
  10. Using Decimals (Use your previous lessons to complete the material in this lesson)
  11. Scientific Notation
    1. Introduction to Scientific Notation  
    2. Scientific Notation  
  12. The Metric System
    1. Unit Conversion Within the Metric System  
  13. Quiz 2: Applying Decimals
  14. Alternate Quiz 2—Form A: Applying Decimals
  15. Alternate Quiz 2—Form B: Applying Decimals
  16. Review
  17. Test
  18. Alternate Test—Form A
  19. Alternate Test—Form B
  20. Glossary and Credit
Unit 4 – Patterns And Equatiosn
  1. Working with Variables and Expressions
    1. What Is a Variable  
    2. Why Aren’t We Using the Multiplication Sign  
    3. Example: Evaluating an Expression  
  2. Adding and Subtracting Algebraic Expressions
    1. Simply Expressions  
  3. Expanding and Factoring Algebraic Expressions
    1. Factoring with the distributive property  
  4. Evaluating Expressions
    1. Example: Evaluating an Expression  
    2. Interpreting Linear Expressions Example  
    3. Interpreting Linear Expressions Example 2 
  5. Using Formulas to Solve Problems
    1. The Simple Interest Formula  
    2. What’s the Formula Connecting Distance, Speed, and Time?  
    3. Evaluate a Formula Using Substitution (Temperature Formula)  
  6. Quiz 1: Variable Expressions
  7. Alternate Quiz 1—Form A: Variable Expressions
  8. Alternate Quiz 1—Form B: Variable Expressions​
  9. Identifying Number Patterns
    1. Arithmetic Sequences  
    2. Geometric Sequences  
  10. Describing Number Patterns
    1. Arithmetic Sequences: A Formula for the ‘ n – th ‘ Term  
  11. Identifying Functions
    1. Ordered pairs and relations algebra 2  
    2. The Vertical Line Test 
  12. Identifying Function Rules
    1. Testing if a Relationship Is a Function  
    2. Finding Function Rule  
    3. Writing a Function Rule  
  13. Quiz 2: Patterns and Functions
  14. Alternate Quiz 2—Form A: Patterns and Functions
  15. Alternate Quiz 2—Form B: Patterns and Functions
  16. Translating Word Sentences
    1. Writing Equations from Word Problems  
  17. Solving Equations Using Mental Math (Use your previous learning to complete these mental math exercises)
  18. Solving Equations Using Addition and Subtraction
    1. Why We Do the Same Thing To Both Sides Simple Equations  
    2. Addition Property of Equality  
    3. Subtraction Property of Equality  
    4. Inverse Operations Addition and Subtraction  
  19. Solving Equations Using Multiplication and Division
    1. Multiplication Property of Equality
    2. Division Property of Equality  
  20. Quiz 3: Solving Equations
  21. Alternate Quiz 3—Form A: Solving Equations
  22. Alternate Quiz 3—Form B: Solving Equations
  23. Solving Two-Step Equations
    1. Why We Do the Same Thing To Both Sides Two Step Equations  
    2. Solving ax+b=c  
    3. Two Step Equations  
  24. Working with Inequalities
    1. Plotting Inequalities on a Number Line  
    2. Inequalities on a Number Line ​ 
  25. Solving One-Step Inequalities
    1. One-Step Inequality Involving Addition 
    2. Inequalities Using Addition and Subtraction 
    3. One Step Inequality Using Multiplication and Division  
  26. Solving Two –Step Inequalities
    1. Two-Step Inequalities  
  27. Quiz 4: Equations and Inequalities
  28. Alternate Quiz 4—Form A: Equations and Inequalities
  29. Alternate Quiz 4—Form B: Equations and Inequalities
  30. Review
  31. Test
  32. Alternate Test—Form A
  33. Alternate Test—Form B
  34. Glossary and Credits
Unit 5 – Ratios And Proportions
  1. Ratios
    1. Introduction to Ratios  
    2. Ratios as Fractions  
    3. Representing Ratios – Exercise  
  2. Rates
    1. Finding Unit Rates  
    2. Finding Unit Prices 
    3. Rate Problems .05 Exercise  
  3. Proportions
    1. MAT 110: Ratios and Proportions
  4. Quiz 1: Ratios, Rates, and Proportions
  5. Alternate Quiz 1—Form A: Ratios, Rates, and Proportions
  6. Alternate Quiz 1—Form B: Ratios, Rates, and Proportions
  7. Converting Customary Units
    1. U.S. Customary Units for Distance 
    2. U.S. Customary Units for Weight  
    3. U.S. Customary Units for Fluid Volume   
    4. Converting Feet to Inches  
    5. Converting Fluid Volume in Customary Units  
  8. Converting Metric Units
    1. Distance in Metric System 
    2. Metric Units for Fluid Volume 
    3. Metric Units for Fluid Weight  
    4. Converting Distance in the Metric System  
  9. Similarity
    1. Intro to triangle singularity
    2. Congruent and Similar Triangles
    3. ​Similar Triangles 2  
  10. ​Scale Drawings
    1. Interpreting a Scale Drawing To Find Living Room Area  
  11. Quiz 2: Using Proportions
  12. Alternate Quiz 2—Form A: Using Proportions
  13. Alternate Quiz 2—Form B: Using Proportions
  14. Converting Between Fractions, Decimals, and Percents
    1. Representing a Number As A Decimal, Percent, Fraction  
    2. Converting Decimals to Percent  ex 1
    3. Converting Decimals to Percent ex 2  
    4. Converting Fraction to a Decimal  
    5. Converting Fraction to a Decimal  ex 1 
    6. Converting Fraction to a Decimal  ex 2 
  15. Percent of a Number
    1. Percent Word Problems  
    2. Another Percent Word Problem  
    3. Percent Word Problem 1 Example 2  
  16. ​Percent of Change
    1. Percent Change
    2. Percent Increase
  17. Solving Percent Problems Using Proportions
    1. Solving Percent Problems Using Proportions  
  18. Solving Percent Problems Using Equations
    1. Solving Percent Problems Using The Percent Equation
  19. Quiz 3: Fractions, Decimals, and Percents
  20. Alternate Quiz 3—Form A: Fractions, Decimals, and Percents
  21. Alternate Quiz 3—Form B: Fractions, Decimals, and Percents
  22. Review
  23. Test
  24. Alternate Test—Form A
  25. Alternate Test—Form B
  26. Glossary and Credits