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I am learning about numbers.

This is how I am getting on…

Emergent - Stage 0

KNOWLEDGE

I am learning to...

Date:            

READ

Numbers up to 10

   2   two   7   seven

15/06 - most ( learn 8  9  and 10)

1  2  3  4  5  6  7  

COUNT

Forwards from 1 to 10

15/06 - counted up to 25

Backwards from 10

10   9   8   7   6   5 ...  

15/06

Counted backwards from 7

20/08

SAY

The number after from 0 - 10

15/06 - Can say the number after up to 7

The number before from 0 - 10 

15/06 - Can say the number before up to 7

ORDER

Numbers up to 5

2   3   5

Check

STRATEGY

I am learning to...

COUNT

The number of objects in a set to 10

15/06

Can count 1 -1 confidently up to 10

GET

A set of objects up to 10

15/06

Can get the given amount to make a set of objects to 10

One to One Counting - Stage 1

KNOWLEDGE

I am learning to...

Date:            

READ

Numbers up to 10

   3   three   9   nine

15/06

COUNT

Forwards up to 10

1   2   3   4   5   ...

15/06 - counted up to 25

Backwards from 10

10   9   8   7   6   5 ...  

4/11

SAY

The number after from 0 - 10

20/08

The number before from 0 - 10

20/08

ORDER

Numbers up to 10

1   2   4   7   8

4/11

KNOW

Patterns to 5

15/06 - fingers and dice patterns to 5

STRATEGY

I am learning to...

JOIN

Groups of objects together

2/06

3 + 3 = 6   4 + 1 + 2 = 5, 6,7

3 + 2 = 5 ( known fact)

4 + 2 = 6

5 + 3 = 8

5 + 5 = 10

4 + 1 = 5

2 + 2 = 4 ( instant)

3 + 2 + 3 = 8 - counted all

SPLIT

A number of objects into groups

15/06

6 - 3 = 3 - counted all

10 - 2 = 8 - counted all

10 - 5 = 5 - counted all

Could easily work out numbers involving 1 - 5 by looking and not counting e.g 5 - 3 = 2 -instantly recognising. (known facts?)

Counting from One on Materials - Stage 2

KNOWLEDGE

I am learning to...

Date:          

READ

Numbers up to 20

14   fourteen

18, 1916 14 17  

12, 13, 15,20

½        ¼

COUNT

Forwards up to 20

1   2   3   4   5   6   7   8   9   10   11   ...

20/08

Backwards from 20

20   19   18   17   16   15   14   13  ...

20/08 - 20 - can do most - getting confused with 12 and 20

SAY

The number after from 1 to 20

20/08 Knows all except

11 __

The number before from 1 to 20

Knows Some

15, 16    _ 11    _ 14   18, 19

16, 17

20, 13 x

19 20

14, 15

ORDER

Numbers to 20

4   7   8   13   17   18

4/11

KNOW

Groups within 5 (basic facts)

3 + 1 = __      3 + __ = 4

4 - 1 = __      4 - __ = 3

3 + 2 = 5

4 + 1 = 5

5 + 0 = 5

Groupings with 5 (basic facts)

5 + 3 = __      5 + __ = 8

Patterns for numbers 1 to 10

Finger patterns

Dot patterns ( 10’s frame)

Dice Patterns

4/11

5 + 1 = 6

5 + 4 = 9

5 + 2 = 7

5 + 3 = 8

5 + 5 = 10

Teen facts: 10 + 4 = 14     10 + 10 = 20

10 + 8 = 18     10 + 5 = 15

STRATEGY

I am learning to...

SOLVE + & -

Up to 10 by counting all the objects

20/07

Can add and subtract counting all the objects up to 12

Counting from One by Imaging - Stage 3

KNOWLEDGE

I am learning to...

Date:          

READ

Numbers up to 20

19   nineteen

4/11

½        ¼

COUNT

Forwards up to 20

12   13   14   15   ...

20/08

Backwards from 20

17   16   15   14   13  ...

20/08

SKIP COUNT

Forwards in twos to 20

2   4   6   8   10   12   14   16   18   20

20/08

4/11 - can skip count in 2’s up to 50

Forwards in fives to 50

5  10  15  20  25  30  35  40  45  50  

20/08 - Not yet

4/11 - Not yet

Forwards in tens to 100

10  20  30  40  50  60  70  80  90  100

20/08 Not yet

4/11 - Can do this

SAY

The number after from 1 to 20

20/08 -

The number before from 1 to 20

20/08

ORDER

Numbers to 20

4   7   8   13   17   18

4/11

KNOW

Groups that make 10

7 + 3 = __      7 + __ = 10

10 - 7 = __      10 - __ = 3

5 + 5 = 10

Doubles to 10 (5 + 5)

2 + 2 = 4      5 + 5 = 10

Knows some doubles

1 + 1, 2 + 2, 5 + 5

STRATEGY

I am learning to...

SOLVE + & -

Up to 10 by counting all the objects in my head

Imaging up to 12 using addition. Using dot patterns.

5 + 4 = 9     5 + 3 = 8  

6 + 5 = 11

4 + 3 = 7

9 - 3 = 7 x Folding back to using fingers

20/08 Learning is here...Working on subtraction

SHARE

Objects equally to make ½ and ¼

Share 12 muffins between 4 (¼ of 12)

Advanced Counting - Stage 4

KNOWLEDGE

I am learning to...

Date:          

READ

Any number up to 100

17   26   38   47   53   74   86   99

½   ¼   ⅓   ⅕   1/10  

COUNT

Forwards in ones, twos, fives and tens up to 100

4/11 Count in 1’s to 100 - Practice counting through the decades e.g 69, 70, 71… or 48, 49, 50...

4/11 - Can skip count in 10’s to 100

4/11 - learn to skip count in 5’s

Backwards in ones, twos, fives and tens  from any number before 100

Not yet

SAY

The number after in the range 0 - 100

Except for decades e.g 79, ? or 89, ?

Learn

The number before in the range 0 - 100

4/11 Learn these

ORDER

Numbers to 100 … and then 1000

22   25   34   37   45   73  & then

456, 532, 698, 755, 965

KNOW

Teen facts (ten &)

10 + 5 = 15      10 + 8 = 18

10 + __ = 19      13 - __ = 10

Tens in decades (how many tens in 60)

Tens that add to 100

70 + 30 = 100      40 + __ = 100

100 - 20 = __      100 - __ = 10

Doubles to 20 (10 + 10)

Halves to 20 (half of 20 = 10)  

STRATEGY

I am learning to...

SOLVE

  • up to 100 by counting on from the biggest number, in my head

  • within 100 by counting back from the biggest number, in my head

     x   by skip counting in twos, fives              

         and tens

FIND

Objects equally to make ½ and ¼

Share 12 muffins between 4 (¼ of 12)


Early Additive Part/Whole - Stage 5

KNOWLEDGE

I am learning to...

Date:          

READ

Numbers up to 1000

333      479      983

½   ⅓   ¼   ⅕   1/10    

COUNT

Forwards by ones, tens and hundreds up to 1000

Backwards by ones, tens and hundreds from 1000

SKIP COUNT

Forwards and backwards in threes

3   6   9   12   15   18   21 ...

SAY

The number 1, 10 or 100 more than numbers up to 1000

The number 1, 10 or 100 less than any number before 1000

ORDER

Numbers to 1000 and then 10000

1   58   376   837

Fractions with the same denominator

¼   2/4  ¾   4/4  

ROUND

Three digit numbers to the nearest 10 or 100

246 ------> 250 (nearest 10)

KNOW

Groups that make 20

17 + 3 = __      17 + __ = 20

20 - 7 = __      20 - __ = 13

STRATEGY

I am learning to...

SOLVE + problems by

Using fives

8 + 7 = (5 + 5) + (3 + 2)

SOLVE + and - problems by

Using doubles

8 + 7 = (8 + 8) - 1

17 - 8 = (16 - 8) + 1

Making tens

8 + 7 = (8 + 2) + 5

12 - 6 = (12 - 2) - 4

Making tidy tys

16 + 8 = (16 + 4) + 4

35 - 9 = (35 - 5) - 4

Using place value

33 + 16 = (30 + 10) + (3 + 6)

76 - 42 = (70 - 40) + (6 - 2)

SOLVE x problems by

Using repeated addition

2 x   -   4 x 2 = (2 + 2 + 2 + 2)

3 x   -   5 x 3 = (3 + 3 + 3 + 3 + 3)

4 x   -   3 x 4 = (4 + 4 + 4)

5 x   -   5 x 5 = (5 + 5 + 5 + 5 + 5)

10 x   -  10 x 2 = (10 + 10)

FIND

A fraction of a number by using repeated addition or subtraction

created by Fiona Hunter,, Russell Street School, Palmerston North

Advanced Additive Part/Whole - Stage 6

KNOWLEDGE

I am learning to...

Date:          

READ & ORDER

Numbers up to 1000000

1374      98765      763104

READ

Decimals up to three places

0.764      0.14      0.8

Symbols for any fraction

1 ⅓      ⅘      13/3      

ORDER

Fractions with different denominators

¼      ⅔      ⅘

SAY

The number 1000 more or 1000 less

KNOW

How many tens and hundreds are in four digit numbers

Fractions with the same denominator

¼      2/4     ¾

Groups to 1000

240 + 760 = 1000      

How many twos, threes, fives and tens in numbers up to 100 and any remainders

3s in 17 = 5 r 2

ROUND

Whole numbers to the nearest 10, 100, and 1000

5508 ------> 6000 (nearest 1000)

Decimals to the nearest whole number

3.49 ------> 4

KNOW

Basic facts for subtraction, within 20

Basic facts for multiplication

RECORD

Results of calculations using empty number lines and written algorithms

STRATEGY

I am learning to...

SOLVE + and - problems by

Using compensation from tidy numbers

725 - 389 = (725 - 400) + 11 = 336

SOLVE + and - problems by

Using place value

376 + 431 =

 (300 + 400) + (70 + 30) + (6 + 1) = 801

Using compatible numbers

35 + 37 + 65 = (35 + 65) + 37 = 137

Using reversibility

814 - 789 = 789 + __ = 814

Using equal addition

72 - 37 = 75 - 40 = 35

Using decomposition

83 - 28 =

rename 83 as (70 + 13)

70 - 28 = 42

42 + 13 = 55

SOLVE x problems by

Using doubles

4 x 6 = (2 x 6) x 2

Deriving facts

3 x 6 = (2 x 6) + 6 = 18

Using reversibility

28 ÷ 4 = 4 x __ = 28

Using proportional adjustment

Doubling and halving

3 x 12 = 6 x 6

24 ÷ 4 = 24 ÷ 8

SOLVE PROBLEMS WITH FRACTIONS

Mentally using known multiplication and division facts

⅓ of 36 = 3 x 12 = 36, so ⅓ of 36 = 12

Finding answers to divisions that are fractions using multiplication facts and equal sharing

5 ÷ 3 as 1 + ½ + ⅙ (repeated sharing)

created by Fiona Hunter,, Russell Street School, Palmerston North