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MAT 156 Topics for TEST #2
3-3, 3-4, 3-1/3, 4-3, 5-1, 5-2
Printable PDF version

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3-3 (x) Multiplication of whole Numbers:

• representation:
  • Repeated Addition
  • Array
  • Cartesian product
• Story Problems (with steps)
• Name the parts of the multiplication equation

3-4 (x) two digit multiplication algorithms:

• processes:
• visual (array with base 10 blocks) ( virtual with graph paper )
• distributive property -- written horizontally
• expanded algorithm -- written vertically (also called partial sums)
• standard algorithm (conventional)
• use the concepts of place value and regrouping
  • alternate methods: lattice multiplication (virtual) (video)
    (Everyday Mathematics)

3-3 ( ) Division of whole numbers:

• representation:
  • Count Elements
  • Count Sets (subsets)
• Story Problems (with steps)
• Name the parts of the division equation
• think of as repeated subtraction

3-4 ( ) two digit division algorithms:

• processes:
• visual - draw boxes to "put even amounts into" or circle groups of the given amount (still using base 10 blocks) - count elements or count sets (video - does both visual and scaffolding)
• scaffolding method - repeated subtraction and "guessing" (better guessing leads to long division) (video) (Everyday Mathematics)
• long division (standard algorithm)
  

3-1/3-3: Properties of Whole numbers:

• Associative Property of Addition/Multiplication of Whole numbers
• Commutative Property of Addition/Multiplication of Whole numbers
• Distributive Property of Multiplication over Addition of Whole numbers
• Closure Property of Addition/Multiplication of Whole numbers
• Identity Property of Addition/Multiplication of Whole numbers

4-3: Functions:

• Using a given rule, fill in a chart – or find the rule
• LogicTiles
• Decide whether a rule is a function

5-1: Integers (+/-):

• Visual (draw out)
• Chip Model (addition) (subtraction)
• Charged Field Model (adding negatives) (subtracting *good visual)
• Algeblocks (2 parts to the mat)
• Number Line Model (virtual - only positive)
• Memorized “Rules for adding/subtracting integers”
  

5-2: Integers (x, ):

• Visual
• Chip Model (multiply) (divide)
• Charged Field Model
• Algeblocks (uses an array; 4 parts to the mat) (virtual)
• Definition of Integer Division (glossary)
• Memorized “Rules for multiplying/dividing integers”