Creating images using tan grams

For the past two days we had been given an activity. With this activity we had been given 7 shapes and with the seven shapes our challenge was to try and create the nine different pictures.

While we were doing this activity we also learnt how to make different shapes with only seven smaller shapes. With this challenge I had only accomplished six pictures and here they are...  

 

Fractions

I am able to resolve fraction strategies in level 3.

A farmer is selling some of his animals.

1.  The farmer sells ¼ of his 72 cows.  Show how to work out how many cows he sells.

4 x 18 = ?

2 x 18 = ?

2 x 10 = 20

2 x 8 = 16  

20 + 16 = 36

1/2 of 36 is 18

36 doubled is 72

Another way

72 divided by 4 = 18

1/4 of 72 = 18

2. He sells ⅓ of his 45 pigs.  Show how to work out how many pigs he sells.

45 divided by 3 = 15

Another way

One third of 45 is 15

3.   He sells ⅙ of his 84 sheep.  Show how to work out how many sheep he sells.

84 divided by 6 = 14

Another way

6 x 14 = 84

Multiplication and Division

I am learning to work out multiplication and division problems in Level 3.

 1. When Jasmine makes lemonade she uses 6 lemons for every litre of water. How many lemon’s does she need for

i)     2 litres of water?    12 - 6 x 2 = 12, 6 doubled is 12.

ii)    3 litres of water?    18 - 6 x 3 = 18, 6 tripled is 18

iii)   10 litres of water?  60 - 6 x 10 = 60.

2.   Devinda is doing some baking. When he uses his mum's recipe he can make 8 muffins. When he doubled the recipe he gets 16 muffins. How many lots of the recipe does he need to make

i)     24 muffins?     8 x 24 =?, 8 x 20 = 160, 8 x 4 = 32, 160 + 32 = 192.

ii)    32 muffins?     8 x 32 =?, 8 x 30 = ?, 8 x 10 = 80, 80 tripled is 220, 8 x 2 = 16, 16 + 220 = 236.

iii)   56 muffins?     8 x 56 =?, 8 x 50= ?, 8 x 10 = 80, 80 doubled five times = 400, 8 x 6 = 48, 400 + 48 = 448.  

Addition and Subtraction

I am able to solve addition and subtraction problems in level 3 using three different strategies.

1.  Maraea is saving to buy a cat.  In 3 weeks she has saved $9, $56 and $72.

Show how to work out how much she has saved altogether.

$72 + $56 + $9 = ? ,

$70 + $60 = $130 + $10 = $140 - $5 = $135 + $2 = $137.

2.  Tom saves his money each month to buy a dog.  In 4 months he has saved $36, $78, $203, and $123.  Show how to work out how much he has saved altogether.

$36 + $78 + $203 + $123 = ?,

$40 + $80 = $120 + $200 = $320 + $120 = $440 + $6 = $446 - $3 = $443 - $3 = $440

3.   Te Ao is saving to buy a horse.  So far she has saved $17, $160, $72, and $148.  Show how to work out how much she has saved altogether.

$17 + $160 + $72 + $148 = ?,

$20 + $160 = $180 + $70 = $250 + $150 = $400 - $3 = $397 + $2 = $399 - $2 = $397.  

4.  Petelo has $ 147 as a present.  He spent $78 at the shop.  How much has he got left?

$147 - $78 =?, $78 + ? = $147, $78 + $69 = $147.

Maths Presentation