Ma+2010

We are learning to find rules for sequential patterns.

Can you find the pattern?

3 5 9 17 ... double 3 is 6 - 1= 5 double 5 is 10 - 1= 9 double 9 is 18 - 1= 17

So what is the next number? double 17 is 34- 1= 33 so the next number is 33.
 * 3 || 5 ||  || 9 || 17 || 33 || 65 || 129 || 257 || 513 ||
 * || 2 ||  || 4 || 8 || 16 || 32 || 64 || 128 || 256 ||

What do you notice this time?

1 3 5 7 11 13 17 19 23 29 31 37 41

The pattern either goes up in 2s, or 4s. They are all odd. You can't share them out evenly. They can only be divided by 1 or itself. They are prime.

WALT: use patterns to find fractions of shapes and sets.

<span style="color: #008080; font-family: 'Comic Sans MS',cursive; font-size: 210%;">WAL: how decimal tenths and fractional tenths are the same, so I can make 1. 1/4

<span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 210%;">WALT: find where fractions live amongst the whole numbers.

<span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 210%;">Rename these fractions as mixed fractions.

<span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 210%;">9/2= 4 1/2 <span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 210%;">14/3= 4 1/3 <span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 210%;">23/5=

<span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 210%;">WALT: solve simple ratio problems.

<span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 210%;">Each bag has 2 red and 3 yellow beans. There are 16 bags in a can. How many beans of each colour are in the can? <span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 210%;">1:2


 * Packets || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 ||
 * Blue Seeds || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 ||
 * Yellow seeds || 2 || 4 || 6 || 8 || 10 || 12 || 14 || 16 ||


 * Packets || 14 || 20 || 38 || 150 ||
 * Blue seeds || 14 || 20 || 38 || 150 ||
 * Yellow seeds || 28 || 40 || 76 || 300 ||


 * P ackets || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 ||
 * Red Seeds || 2 || 4 || 6 || 8 || 10 || 12 || 14 || 16 ||
 * Green seeds || 3 || 6 || 9 || 12 || 15 || 18 || 21 || 24 ||

Ratio of 2:3 If we had 20 packets how could we figure out how many red and green seeds we would need? We would have 40 red seeds because the red seeds is double the number of packets. There will be 60 green seeds. If you add the number of packets to the number of red seeds you will find the number of green seeds.


 * P ackets || 10 || 12 || 30 || 100 || 15 || 20 || 9 || 11 ||
 * Red Seeds || 20 || 24 || 60 || 200 || 30 || 40 || 18 || 22 ||
 * Green seeds || 30 || 36 || 90 || 300 || 45 || 60 || 27 || 33 ||

<span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 210%;">WALT: solve "How many sets of..." and "sharing" division problems using multiplication.

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">Jordan has 36 lollies to share equally with 9 friends. How many lollies will they get each? 4 <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">36 / 9 = 9 X _ = 36 = _ X 9 = 36

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">Georgia has 60 bananas and 5 boxes. How many bananas will go into each box if all the boxes must have an equal number of bananas? <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">12

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">Megan has 44m of rope. Her and 3 friends each need an equal length of rope. How much rope will they get each? 11m <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">44/ 4 = 11= 11 X 4 = 44

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">Jessica has 420ml of milk to share between her three puppies. How much milk will they get each? 140ml <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">42/ 3= <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">3 X 14= 42 <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">420/ 3= <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">3 X 140= 420

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">Bailey watched tractor DVDs for 360 minutes. How many hours did he spend watching tractor DVDs? 6 <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">360/60=6 <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">36/6= 6

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">Karlin had 240 potatoes to sell. 3 people wanted to buy them. How many potatoes would they get each? <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">80

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">Daniel had 490 computer games, he decided to share them equally with himself and 6 others. How many games would they get each? <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">70

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">Wade had 240L of Raspberry Fizz. He decided to share it with 6 friends. How much fizzy drink would they get each? <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">40ml. //24/6=4, 240/6=40//

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">Callum has 480m of Hubba Bubba to share with himself and 3 others. How much bubble gum will each person get? <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">120m. //48/4=12, 480/4=120//

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">Bradley had 720cm of raspberry licorice, he decided to give it to Miss G and 7 other teachers. How much would each teacher get in cm? <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">90cm. //72/8=9, 720/8=90//

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;">We are learning to solve some addition problems by adjusting one number to the nearest hundred.

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> $99 + $78=

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> $56 + $99= 155 <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> $100 + $55

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> $67 + $98= 165 <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> $100 + 65

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> $97 + $63= 160 <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> $100 + 60

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> $38 + $298= 336 <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> $300 + $36

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> 456 - 98= 354 <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> 454 - 100

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> 151 - 99= 50 <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> 150- 100

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> 338 - 98=236 <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> 336- 100

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> 175 - 96=71 <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> 171- 100

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> 141 - 97= 38 <span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> 138- 100

<span style="font-family: 'Comic Sans MS',cursive; font-size: 210%;"> We are learning to solve problems like 23 + _ = 71 by jumping up a number line, then jumping back a small number.

<span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 210%;">24 + _ =82 <span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 210%;"> 52 + _ = 90 <span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 210%;"> 25 + _ = 94 <span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 210%;"> 13 + _ = 71 <span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 210%;"> 12 + _ = 91 <span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 210%;"> 54 + _ = 72 <span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 210%;"> 45 + _ = 83 <span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 210%;"> 14 + _ = 83

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 210%;"> Lets revise this...

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 210%;">

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 210%;"> We are learning to solve problems like 73 - 19 by first subtracting a tidy number then adding on a small number to get the answer.

82 - 29= 68 - 19=  65 - 28=  96- 28=  82-47=

72 - 59= 98 - 79=  45 - 18=  66 - 48 =  72 - 17 =  103 - 88=