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MAT 156 Topics for Unit #1
1-2, 2-1, 3-1, 3-2
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1-2: Patterns:

• finding patterns (visual)
• finding patterns using algebra

2-1: Base 10 - Place value:

• digits, place value
• Base 10 blocks - use of, names, etc…
• Regrouping with base 10 blocks
• Place value names, write out the words for a very large number - Spelling counts!

2-1: Bases systems:

• Change a number ffrom base 10 to any other base (show work)
• Change a number from any base to base 10 (show work)
• Problems dealing with any base and their possible digits, place value, etc…

3-1: Addition of whole numbers:

• representation:
  • Unite Sets
  • Count Forward
    
• Story Problems (steps)

1. Questions related to story (no numbers)
2. Questions related to the parts (numbers) - with drawings
3. Questions related to finding the answer - with drawings
4. Mathematical symbols written to represent the problem

• Name the parts of the addition equation

3-2 (+) two digit addition algorithms:

• processes:
• visual (virtual base 10 blocks) – draw AND explain your steps
• expanded notation (words)
• expanded algorithm (numbers)
• standard algorithm (conventional)
• use the concepts of place value and regrouping

3-1 (-) Subtraction of whole numbers:

• representation:
• Take - Away
• Missing Addend
• Comparison
• Story problems (with steps)
• Name the parts of the subtraction equation

3-2 (-) two digit subtraction algorithms:

• processes:
• visual - using take-away (virtual base 10 blocks - using comparison ) – draw AND explain your steps (using take-away or comparison)
• Expanded notation (words)
• standard algorithm (expanded algorithm leads to negative numbers so is an alternate method)
• use the concepts of place value and regrouping
• Alternate methods – be able to use and explain:
  • Expanded Algorithm
• Equal addition
• Up - the - hill
• L to R (really expanded algorithm) (Everyday Mathematics)