Put the biggestnumber in your

head and count on.

6 +2 = 8

2+6= ?Counting on from the larger number

Addition and Subtraction NS1.2 Penny Draper

Friends of ten!7+3=10 6+4=10 5+5=103+7=10 4+6=10 10+0=108+2=10 2+8=10 1+9=10

How many different ways can you make ten?

Whole Number NES1.1 Penny Draper

Jump Strategy

46 + 33 =

2.Jump by tens first.

+30

+33.Jump by ones

46 56 66 76 77 78 79

1.Start at the biggest number.

Addition and Subtraction NS1.2 Penny Draper

Split Strategy

46+33=

1. Separate the tens and ones first.

40 + 6 +30 +3 =

2. Add the tens together

40 + 30 = 70

3. Add the ones together

6+3 =9

4. Add both totals together to find your answer.

70 + 9 = 79Addition and Subtraction NS1.2 Penny Draper

Counting on andoff the decade by

tens1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

Example 1 Counting Forwards:

20, 30, 40…. (On the decade)

27, 37, 47…..(Off the decade)

Example 2 Counting Backwards:

40, 30, 20…. (On the decade)

47, 37, 27 … (Off the decade)

Whole Number NS1.1 Penny Draper

Patterns and Algebra PAS1.1

Put the biggestnumber in your head

and count back.

8 - 2 = 6

8-2 = ?Counting back from the largest number

Addition and Subtraction NS1.2 Penny Draper

How many wayscan you make

20?10 + 10 = 20 18+2 =20 13 + 7= 20

15 +5 = 20 17 + 3 = 20 14 + 6= 20

19 + 1= 20 16+4 = 20 12+8=20

Whole Number NES1.1 Penny Draper

Using doublesand near doubles

5 +7=?

Step 1: Double 5

Step 2: Add 2

Addition and Subtraction NS1.2 Penny Draper

RelatedAddition andSubtraction

15 +3 = 18

18 – 15 = 3

18 – 3 = 15

Look for the relationship between addition and

subtraction number facts. Look for the variety

of number patterns.

Addition and Subtraction NS1.2 Penny Draper

Patterns and Algebra PAS 1.1

Equal Groupsand Arrays

2 Groups of 3

or 2 Rows of 3

Multiplication and Division NS1.3 Penny Draper

Rhythmic orSkip Counting

4 groups of 2 = 8

2 4

6 8Multiplication and Division NS1.3 Penny Draper

Whole Number NS1.1

RepeatedAddition

3 groups of 2 = 6

is the same as

2 + 2 + 2 = 6

Multiplication and Division NS1.3 Penny Draper

Bridging to 10

7 + 5 = ?

+7 3

10

7 and 3 is 10 and 2 more equals

12.

Addition and Subtraction NS1.2 Penny Draper

DecompositionMethod:

3 1

2 4 5 6

- 1 3 8 5

1 0 7 1Mental Computation strategies need to be

continually reinforced and used to check

results obtained using formal algorithms.Addition and Subtraction NS2.2 and NS3.2

Equal AddendsMethod:

1 1 1

8 0 0 0

- 1 1

617 3

7 3 2 7For students who have a good understanding of

subtraction, the equal addends algorithm may be

introduced as an alternative.

Addition and Subtraction NS2.2 and NS3.2

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Place ValueExample 1: Find the Place value of 3 in the number

4732.

3 represents 30 or 3 tens.

SharingSharing – How many in each group?

Example: “If twelve marbles are shared between three students, how

many does each get?”

Answer: 4

GroupingGrouping – How many groups are there?

Example: If I have 12 marbles and each child is to get four, howmany children will get marbles? -4

-4-4

This form of division relates to repeated subtraction.The sharing and grouping process can be reversed, showing students

the direct link between multiplication and division.Multiplication and Division NS1.3

FractionsFractions are used in different ways:

1.To describe equal parts of a whole.

2.To describe equal parts of a collection of

objects.

Fractions and Decimals NS1.4

FractionsFractions are used in different ways:

1.To describe equal parts of a whole.

2.To describe equal parts of a collection of objects.

3. To denote numbers

½ is midway between 0 and 1 on the number line.

5. As operators related to division, eg, dividing a number

in half.

Fractions and Decimals NS2.4