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18 Cards in this Set
- Front
- Back
Joining
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used to introduce to concept of addition
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Addends need to be in same order
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as story
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Complement (or partition)
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• Whole set exist from beginning, no action of joining
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Increment
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• Last interpretations
• Kids must have experience with measurement • Difficult to act out • Change over time |
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100 basic facts of addition
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-all 100 not addressed at one time
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Same sum fact family
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Ex. 0+5
1+4 2+3 3+2 4+1 5+0 |
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Transitivity of equality
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= (4+1 = 3+2)
If a=b and b=c then a=c |
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3 related sets of 100 basic facts
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1. Sums < 10
2. Sums = 10 3. Sums > 10 |
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Sums < 10
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-Easy Hard
1. Adding 1 2. Doubles up to 4+4 3. Harder Facts 4. 0 as an addend (last group address in sums < 10 |
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Sums = 10
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0+10 =10
1+9 = 10 2+8 = 10 3+7 = 10 4+6 = 10 5+5 = 10 6+4 = 10 7+3 = 10 8+2 = 10 9+1 = 10 10+0 = 10 |
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Sums > 10
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Ex. 4+9
T: Show me 4+9 T: How many in 1st set? C: 4 T: How many more to build ten? C: 6 T: Move that many over from the other set. T: Read the number you see now. C: 13 T: So 4+9 = 13 |
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• Only 45 facts need to be
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memorized
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• Memorization happens because of
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repeated meaningful use
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• Repeated meaningful use happened when its important to the learner
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to be correct and the learner has to think
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Mental Math Strategies for constructing basic facts while their in the process of memorizing
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1. Count on / Count up = when one of the addends is 1, 2, or 3.
2. Near Doubles = 2 addends are consecutive numbers on the number line 3. Make Ten = How many more to make ten 4. Hidden number = 6+8 = 14 7+9 = 16 5+7 = 12 |
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Subtraction is not
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commutitive
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Related Number Fact Families
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- Made of 3 related numbers
- 2 #s are addends - 1 # is a sum - Can write for addition and subtraction sentences - Teaching that addition is commutitive and teaching relationship between addition and subtraction |
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Term for Related number fact family
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Addend 1 + Addend 2 = Sum
Addend 2 + Addend 1 = Sum Sum – Addend 1 = Addend 2 Sum – Addend 2 = Addend 1 |