Module-Lessons

Unit I. Number Basics

Modules

Math1 – Number Sense

M1.1 – Order of Operations

  • Order of Operations (PEMDAS)
  • Problems Involving Multiplication, Division, Addition, and Subtraction (no parentheses)
  • Order of Operations Involving Parentheses
  • Order of Operations Involving Parentheses, Brackets, and/or Exponents
  • Conclusion

M1.2A – Divisibility Rules

  • Definitions
  • Divisibility by 2, 5, and 10
  • Divisibility by 4
  • Divisibility by 3 and 9
  • Divisibility by 6
  • Conclusion

M1.3 – Properties of Addition and Multiplication and Inverse Operations

  • Properties of Addition
  • Mental Math Using Properties of Addition
  • Properties of Multiplication
  • Mental Math Using Properties of Multiplication
  • Conclusion

M1.4 – Distributive Property

  • Distributive Property Model 1-Digit Number
  • Distributive Property Model 1-Digit Number Times 2-Digit Number
  • Distributive Property of Multiplication Over Subtraction
  • Applications of the Distributive Property
  • Conclusion

M1.5 – Estimation

  • Exact Answer or Estimate
  • Estimation Strategies: Front-End Estimation
  • Estimation Strategies: Rounding
  • Estimation Strategies: Compatible Numbers
  • Comparing and Combining Estimation Strategies
  • Conclusion

Math2 – Whole Number Operations

M2.1 – Large Numbers: Addition

  • Partial Sums Method for Addition
  • Column Addition Method for Addition
  • Standard Addition Model
  • Conclusion

M2.2 – Large Numbers: Subtraction

  • Understanding Regrouping
  • Subtraction Using Blocks
  • Column Subtraction Method
  • Counting Up Method
  • Conclusion

M2.3 – Large Numbers: Multiplication

  • Estimating and Multiplying with Zeros
  • Partial Products Method for Multiplication
  • Multiplication Using Base Ten Blocks
  • Conclusion

M2.4 – Large Numbers: Division

  • Finding a Reasonable Quotient or Estimation
  • Partial Quotients Method for Division
  • Division Using Base Ten Blocks
  • Interpreting Remainders
  • Conclusion

M2.5 – Problem Solving Strategies

  • Problem-solving Basics
  • Drawa Diagram
  • Look for a Pattern/Make a List
  • Guess and Check
  • Conclusion

Math3 – Integers

M3.1 – Integers and Absolute Value

  • Negative Numbers
  • Opposite and Absolute Value
  • Compare Integers
  • Order Integers
  • Conclusion

M3.2 – Adding Integers

  • Adding Integers Using Counters Model
  • Adding Integers Using Number Lines
  • Adding Integers Using Rules
  • Conclusion

M3.3 – Subtracting Integers

  • Subtracting Integers Using Counters
  • Subtracting Integers Using Number Lines
  • Subtracting Integers Using Rules
  • Conclusion

M3.4A – Multiplying and Dividing Integers

  • Multiplying Integers Using Counters
  • Multiplying Integers Using a Number Line
  • Multiplying and Dividing Integers
  • Conclusion

M3.5 – Solving Problems with Integers

  • Solving Problems with Integers (Math Camp Swimming Pool)
  • Solving Problems with Integers (Zeo’s Alienoon)