Math's Lessons

We are learning about area and perimeter.

Make a square or rectangle these areas:

1.  20cm2

2. 50 cm2

3. 100cm2

4. 25cm2

5. 1000cm2

 












We are learning to rotate, flip (reflect) and translate.






We are learning about the parts of a fraction.
We are learning about numerators and denominators.

A fraction is a number.

The numerator is the number on top and tells .....

The denominator is the number on the bottom and tells .......















We are learning to identify 2D shapes and 3D shapes in school.

This is a________. It has _ faces, _ edges and _ corners.

This is a _______. It has ____ sides.

We are learning about nets for 3D shapes.

A net is when a 3D shape is flattened out.




This 3D shape is a 
It has _____ faces.
It has _____ vertices (corners).
It has ______edges.


We are learning about edges, faces and vertices.







Pentagons 
We are learning to partition (before you begin watch the Show me about this!).
1. 34 - 21=
2. 68 - 23 =
3. 92 - 41 =
4. 78 - 23

Octagons and Hexagons
We are learning to subtract by going back in the tens (before you begin watch the Show me about this!).
1. 43 - 14 =
43 -  10 = 33
33 - 3 = 30 - 1 = 29

2. 73 - 48 =
73 - 40 = 33
33 -3 =30 
30- 5=25

3. 56 - 28 =
56-20=36
36-6=30

4. 47 -32  = (partition of go back in the tens?)


Triangles
We are learning to add and subtract by rounding and compensating (before you begin watch the Show me about this!).
1. 82 - 29 (+1) =
82 - 30 = 52 + 1 = 53

2. 82 + 29 (+1) =
82 + 30 = 112 - 1= 111

3. 93 - 49
93 - 50 = 43 +1 = 44

4. 93 + 49 =
93 + 50 = 143 - 1 = 142

Pentagons
We are learning to multiply by reversing.
1. 5 x 6 = 6 x 5 = 30
2. 3 x 8 =
3. 5  x 9 =
4. 3 x 7 =
5. 5 x 7 =
Now write out your 3 or 5 times tables.

Octagons and Hexagons
We are learning to multiply by halving.
1. 14 x 5 = 7 x 5 = 35 35 + 35 =70
2. 14 x 3 =
3. 16  x 5=
4. 16 x 3 =
5. 18 x 5 =

Triangles
We are learning to multiply by rounding and compensating.
1. 99 x 5 = 100 x 5 = 500 - 5 = 495
2. 99 x 3 =
3. 999  x 5=
4. 999 x 3 =
5. 999, 999 x 5 =

Triangles
We are learning to round and compensate with multiplication.


9 x 6 = 
10 x 6  = 60
60 - 6 = 54

19 x 7 =
20 x 7 = 140
140 - 7 = 133


Octagons and Hexagons
We are learning to double and halve with multiplication.

14 x 5 = 
7 x 5  = 35
35 + 35  = 70

18 x 3 =
9 x 3 = 27
27 + 27 = 20  + 20 = 40
7 + 7 = 14
40 + 14 = 54

12 x 5 =
6 x 5 = 30
30 x 2 = 60



Pentagons
We are learning to reverse with multiplication.

5 x 6 =  6 x 5 = 30

3 x 7 = 7 x 3 =21




Octagons
We are learning to subtract by rounding and compensating.

1. 62 - 39 =
62 - 40 = 22 + 1 =23


2. 74 - 59 =
74 - 60 = 14 + 1 = 15

3. 81 - 19 =

81 - 20 = 61 + 1 = 62
4. 94 - 89 =
5. 78 - 39 =
6. 134 - 79 =
7. 2139 - 99 =

Pentagons
We are learning to partition with addition.
1. 54 + 12 =
50 + 10 = 60
4 + 2 = 6
60 + 6 = 66

2. 54 + 15 =
50 + 10 = 60
4 + 5 = 9
60 + 9 = 69

3. 54 + 13 =
50 + 10 = 60
4 + 3 = 7
60 + 7 =67

4. 54 + 24 =
50 + 20 = 70
4 + 4 = 8
70 + 8 = 78

5. 54 + 21 =
50 + 20 = 70
4 + 1 = 5
70 + 5 = 75

Triangles and Hexagons
We are learning to subtract by going back through the tens.
1. 64 - 7 
64 - 4 = 60
60 - 3 = 57

2. 64 - 5
64 - 4 = 60
60 - 1 = 59

3. 64 - 9
64 - 4 = 60 
60 - 5 = 55

4. 64 - 8 
64 - 4 = 60
60 - 4 = 56

5. 72 - 5 
72 - 2 = 70
70 - 3 = 67

6. 83 - 7
83 - 3 = 80
80 - 4 - 76

7. 94 - 8
94 - 4  = 90
90 - 4 = 86

8. 124 - 9
124  - 4  = 120
120 - 5 = 115


We are learning to partition with subtraction.


1. 64 - 12 =
2. 78 - 15 =
3. 86 - 13 =
4. 54 - 24 =
5. 97 - 21 =We are learning to partition with subtraction.


1. 64 - 12 =
2. 78 - 15 =
3. 86 - 13 =
4. 54 - 24 =
5. 97 - 21 =
6. 92 - 11 =
7. 123 - 12 =

We are learning to reverse subtraction problems so that they become addition.

Reversing

12 - 6 = 
6 + 

18 - 12 = 
12 + 

24 - 18 = 
18 + 

125 - 6 = 
6 +

Pentagons
We are learning to add and subtract by using doubles.Use doubles to work these out.

8 + 9 = 8 + 8 = 16 + 1 = 17


1. 8 + 9 = 8 + 8 = 16 = 1 = 17

2. 7 + 8 = 7 + 7 = 14 + 1 = 15
3. 6 + 7 =
4. 4 + 5 =
5. 18 + 8 =

Triangles and Hexagons

We are learning to add and subtract by partitioning.


25 + 31 =

20 + 30 = 50
5 + 1 = 6
50 + 6 = 56

1 `61 + 42 =60 + 40 = 100,1 + 2 = 3,3 + 100= 103 

2. 21 + 55 = 20 + 50= 70, 1 + 5 =6,70 + 6 = 76
3. 71 + 29 =
4. 76 + 13 =
5. 132 + 12 =

Octagons  

We are learning to round and compensate.
79 + 21=
80 + 20 = 100

1. 68 + 21= 68 + 20 = 88 + 1 = 89

2. 98 + 61 = 98 + 60 = 158 + 1 = 159
3. 119 + 31 =
4. 229 + 43 =
5. 1999 + 32 =


We are learning to measure the length and capacity of different objects.
We are learning to use tape measures and measuring cups.

We will be successful when we can measure objects to the nearest metre and millilitre.


Pentagons
We are learning to add and subtract by using doubles.Use doubles to work these out.

1. 8 + 9 = 8 + 8 = 16 + 1 = 17
2. 7 + 8 =
3. 6 + 7 =
4. 18 + 8 =
5. 16 + 6 =


Triangles and Hexagons

We are learning to add and subtract by partitioning.

1. 25 + 31 =
20 + 30 = 50
5 + 1 = 6
50 + 6 = 56

2. 61 + 32 =
60 + 30 = 90
1 + 2= 3
90 + 3=93

3. 21 + 35 =
20 + 30 = 50
1 +5 = 6
50+ 6 = 56

4. 33 + 44 =
30 + 40 = 70
3 + 4=7
70 + 7 =77

5. 132 + 231 =
100 + 200 = 300
30 + 30 = 60
2 + 1 = 3
300 + 60 + 3 = 363

Octagons  
We are learning to round and compensate.

1. 79 + 21=
80 + 20 = 100

2. 89 + 34=
90 + 33 = 123

3. 59 + 27=
60 + 26 = 86

4. 159 + 32=
160 + 31 = 191

5. 9999 + 21=
10,000 + 20  = 10,020



Triangles and Hexagons
We are learning to add and subtract by partitioning.
23 + 42 =
20 + 40 = 60
3 + 2 = 5
60 + 5 = 65

53 + 35 =
50 + 30 = 80
3 + 5 = 8
80 + 8 = 88 

62 + 23 = 85
60 + 20 = 80
2 + 3 = 5
80 + 5 = 85

83 + 16 = 99
80 + 10 = 90
6 + 3 = 9
90 + 9 = 99

We are learning to add and subtract going back through the tens.
84 - 8 =

Octagons
We are learning to round.
We are learning to round and compensate.
63 - 39 =

345

Place Value = 
3 Hundreds  or 300

Pentagons

3567


Octagons


356,489

Place Value = 3 hundreds of thousands 
or 300,000


Hexagons

39,012

Place Value = 3 tens  of thousands 
or 30,000.

Triangles

34,576


Place Value = 3 tens  of thousands 
or 30,000


We are learning about place value.

Octagons - Stage 6 Book
Page 208. Just write out the answers to number on activity one.

Pentagons - Stage 4 Book
Page 153, Question B. Write the numeral and then the correct words beside it.

Hexagons and Triangles - Stage 5 Book
Page 228,question 2.







We are learning to round and compensate in addition and subtraction problems.

1. 34 + 19 = 53

2. 27 + 19 = 46
3. 66 + 19 = 85

4. 45 - 19 = 26

5. 63 - 19 = 44
6. 74 - 19 = 55

7. 63 + 28 = 91

8. 74 + 39 = 113
9. 125 + 59 = 184
10. 6.3 + 3.9 = 10.2

11. 63 - 29 = 34

12. 84 - 78 = 6
13. 134 - 89 = 45
14. 8.2 - 5.9 = 2.3

15. 2924 + 49 = 2973

16. 2975 - 49 = 2926
17. 16.25 + 4.9 =

14. We are learning to represent time in analogue and digital times.
We are learning to solve time story problems.
We are learning to convert time into seconds,days, hours and years.


Time facts

There are _____ seconds in a minute.

There are _____ minutes in an hour.

There are _____ hours in a day.

There are _____ days in a week.

There are _____ days in a fortnight.

There are ___, ___, ___ or ___ days in a month.

There are _____ days in a year.

There are _____ days in a leap year.

There are _____ weeks in a year.

There are _____ months in a year.

There are _____ years in a decade.

There are _____ years in a century.

There are _____ years in a millennium

   We are learning to make up knowledge questions from our iKan assessment.

We are learning to estimate what we can do in a minute.

We are learning to make up story problems that involve using the rounding and compensating strategy.

We are learning to make up problems that involve proportion.

We are learning about equivalent fractions.



Use a paper strip and fold it into quarters. Label each part with a 1/4
Colour in 3/4 of the strip


Use another paper strip and fold it into eighths. Label each part with a 1/8.
What would be the equivalent to 3/4. Colour this in!

Improper fractions and Mixed Numbers

Get another strip of paper and cut into quarters.

Write 5/4 and glue the correct the amount of quarters beside it.

Write down the mixed numbers for this.






Multiplication and Division Strategies
(not all strategies are included for some stages)
Stage 3 - Solving multiplication and division problems by counting 
all objects.
2 x 4 = 1,2, 3,4,5 ,6 ,7, 8
Stage 4 - Solving multiplication problems by skip counting.
4 x 5 = 5, 10, 15 ,20

Stage 5 Solving multiplication problems by using multiplication facts and repeated addition.
4 x 6 = (6 + 6) + (6 + 6) = 12 + 12 = 24
Stage 5 Solving division problems by using multiplication facts and repeated addition.
20 divided 4 = 5 because 5 + 5 10 and 10 + 10 = 20

Stage 6 Solving multiplication and division problems by using different strategies and known facts.
4 x 8 = 2 x 16 = 32 (doubling and halving)
9 x 6 = (10 x 6) - 6 = 54 (rounding compensating)
63 divided 7 = 9 because 9 x 7 = 63  (reversals)
Stage 7 Solving multiplication and division problems by using different strategies and estimating
24 x 6 = (20 x 6) + (4 x 6)  (place value and partitioning)
24 x 6 = 25 x 6  - 6 (rounding and compensating)
63 divided 7 = 9 because 9 x 7 = 63  (reversals)
81 divided by 9 = 9 so 81 divided by 3 = 3 x 9 = 27


Whole Class

We are learning to convert centimeters into metres.

Make a metre length of paper.

On the piece of paper mark:

25 cm

50 cm

75 cm 

100 cm

then beside the cm turn it into metres

Cuboids 
We are learning to multiply by rounding and compensating.
9 x 6 = (10 x 6 ) - 6 = 54

1. 9 x 19 =
2. 3 x 49 =
3. 4 x 49 =
4. 6 x 89 =
5. 8 x 999 =


Pyramids

We are learning to multiply by reversing, rounding and compensating. 
9 x 6 = (10 x 6 ) - 6 = 54

1. 19 x 9 =
2. 49 x 6 =
3. 79 x 7 =
4. 18 x 5 =
5. 28 x 7 =


6. 7.9 x 5 =



7. 998 x 5 =


Cubes 

We are learning to multiply by skip counting and using repeated addition.


Cuboids


We are learning to multiply by reversing.

40 divided by 5

5 x _ = 40


1. 90 divided by 9 =
2. 42 divided by 7 =
3. 63 divided by 9 =
4. 64 divided by 8 =
5. 49 divided by 7 =


We are learning to multiply by rounding and compensating.

9 x 6 = (10 x 6 ) - 6 = 54

1. 9 x 9 =
2. 3 x 99 =
3. 4 x 49 =
4. 6 x 29 =
5. 9 x 999 =


Pyramids


We are learning to multiply by reversing, rounding and compensating.

9 x 6 = (10 x 6 ) - 6 = 54

1. 899 x 9 =
2. 18 x 6 =
3. 78 x 7 =
4. 798 x 5 =
5. 9998 x 7 =
6. 9.9 x 6 =



1. 9 x 9 =
2. 3 x 99 =
3. 4 x 49 =
4. 6 x 29 =
5. 9 x 999 =

We are learning to multiply by doubling

3 x 4 = 12
6 x 4 = 12

2 x 25 =
4 x 25 =
8 x 25 =






We are learning to Addition and Subtraction Strategies (not all strategies are included for stages 6 and 7)

Stage 4 - Couniting Forward Or Back In Tens Or Ones


52 - 4 = 52,51,50,49,48 = 48


27 + 24 = (27 + 20)  27, 37, 47       (47 + 4)  48, 49, 50, 51 = 51




Stage 5 - Adding and Subtracting By Making Tens


9 + 7 = 10 + 6 = 16 


43 + 25 = (40 + 20) + (3+ 5) = 60 + 8 = 68


39 + 26 = 40 + 25 = 65


84 - 8 = 84 - 4 = 80         80 - 4 = 76


32 - 16 = 32 - 10 = 22        22 - 6 = 16 




Stage 6 - Advanced Part Whole Thinking



63 - 39 = 63 - 40 + 1 = 24 (rounding and compensating)


324 - 86 = 324 -100 +14 (rounding and compensating)


63 - 39 = 39 + 20 + 4 so 63 - 39 = 24 (reversing)




Stage 7 - Advanced Part Whole


1.5 - 0.885 = 0.5 + (1 - 0.885) = 0.5 + 0.115 = 0.615 


Use the rounding and compensating strategy to solve these.


1. 78 - 39 =


2. 84 - 28


3. 97 - 17 =


4. 67 - 29 =




Cubes


We are learning to use tidy numbers.

19 + 6 = 20 + 5 = 25

1.  9 + 6 =
2.  8 + 4 =
3. 7 + 6 =
4. 18 + 5 =
5. 19 + 5 =
6. 17 + 5 =

Cuboids
We are learning to round and compensate.     63 - 39 = 63 - 40 + 1 = 24

1.  79 - 19 =
2.  84 - 38 =
3.  92 - 17=
4.  180 - 39 =

Pyramids  We are learning to reverse.

63 - 39 = 39 + 20 + 4 so 63 - 39 = 24

1.  65 - 49 =
2. 73 - 28 =
3. 67 - 18 =
4. 152 - 17 =
5. 6050 - 498 =


Extra
6. 2.3 - 0.550





Cubes, Cuboids and Pyramids

We are learning to measure capacity use a measuring jug.
We are learning to measure capacity using decimals.
We are learning to apply decimals to everyday situations.

Activity - Measure the water in each bottle and record (e.g 1.5 Litres) in your books. 

1. How much water is there altogether in bottles A and B?
2. How much water is there altogether in bottles C, D and E?
3. How much water is there altogether in bottles A, B , C , D, E and F

Remember to split the ones and tenths. Show your strategy!


Cubes, Cuboids and Pyramids

Create a poster showing the strategy you have been working on.

Cubes (tidy numbers)

9 + 7 =

Cuboids (going back through the tens)

73 - 28 =

Pyramids (rounding and compensating)

93 - 58 =


Cubes
We are learning about place value.

28/2/12

2a 56
b 81
c 425
d. 786

3a 4
b 40
c 400
d400

We are learning how many tens,hundred and thousands are in numbers.

We are learning to add and subtract by making tens.

9 + 7 = 10 + 6 = 16

Change these so that you are using tidy numbers.

1.  9 + 3 =

2. 9 + 6 =

3. 8 + 4 =

4. 8 + 5 =

5. 7 + 6

Cuboids

We are learning to add and subtract by going back through tens.


32 - 16 = 32 - 10 = 22        22 - 6 = 16 

Use the above strategy for these questions:

1. 43 - 18 =

2. 56 - 19=

3. 64 - 16 =


Pyramids

We are learning to add and subtract by rounding and compensating.

63 - 39 = 63 - 40 + 1 = 24 

Solve these using the above strategy:

1. 62 - 29 = 33
    62 - 30 + 1


2. 71 - 57 = 14
    71 - 60 + 3 

3. 92 - 38 = 54
    92 - 40 + 2

We are learning to estimate and round decimals.
We are learning to know how many thousands are in a number.
We are learning to add decimals.

Number Line
http://www.mathsonline.co.uk/freesite_tour/resource/whiteboard/decimals/decimals2.html

Round the decimals below to the nearest tenth before you add these together.
-->
1)     Peter cuts a piece of string into two lengths. One is 6.38cm long and one is 9.63cm long. How long was the string before it was cut?
6.4 + 9.6= 
6+9= 15
0.4 + 0.6= 1
15+1=16



2)    Mary joins two lengths of wood together. One is 8.49cm long and one is 3.59cm long.How long is that altogether?
8.5 + 3.6
8+3=11
0.5+0.6=1.1
1.1+11=12.1
3)    I have three bags of sweets. One weighs 20.17g, one weighs 5.39g and the third weighs 40.47g. How much do they weigh altogether?
20.2 + 5.4 + 40.5 =
20 + 5 + 40 = 65
0.2 + 0.4 + 0.5 = 1.1
1.1 + 65 = 66.1



Round the decimals below to the nearest hundredth before you add these together.

4)    I have two bags of sweets. One weighs 52.142g and the other weighs 13.658g.How much do they weigh altogether?

Here is a game for adding and subtracting decimals.

http://www.math-play.com/soccer-math-adding-decimals-game/adding-decimals-game.html