Math Methods Chapter 6

Front 1

Joining

Back 1

used to introduce to concept of addition

Front 2

Addends need to be in same order

Back 2

as story

Front 3

Complement (or partition)

Back 3

• Whole set exist from beginning, no action of joining

Front 4

Increment

Back 4

• Last interpretations
• Kids must have experience with measurement
• Difficult to act out
• Change over time

Front 5

100 basic facts of addition

Back 5

-all 100 not addressed at one time

Front 6

Same sum fact family

Back 6

Ex. 0+5
1+4
2+3
3+2
4+1
5+0

Front 7

Transitivity of equality

Back 7

= (4+1 = 3+2)
If a=b and b=c then a=c

Front 8

3 related sets of 100 basic facts

Back 8

1. Sums < 10
2. Sums = 10
3. Sums > 10

Front 9

Sums < 10

Back 9

-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

Front 10

Sums = 10

Back 10

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

Front 11

Sums > 10

Back 11

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

Front 12

• Only 45 facts need to be

Back 12

memorized

Front 13

• Memorization happens because of

Back 13

repeated meaningful use

Front 14

• Repeated meaningful use happened when its important to the learner

Back 14

to be correct and the learner has to think

Front 15

Mental Math Strategies for constructing basic facts while their in the process of memorizing

Back 15

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

Front 16

Subtraction is not

Back 16

commutitive

Front 17

Related Number Fact Families

Back 17

- 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

Front 18

Term for Related number fact family

Back 18

Addend 1 + Addend 2 = Sum
Addend 2 + Addend 1 = Sum
Sum – Addend 1 = Addend 2
Sum – Addend 2 = Addend 1