Term 4 Week 1
Term 3 Week 9
W.A.L.T.
Solve addition/subtraction/multiplication/division problems by choosing the best strategy from a range of strategies (compensation, place value partitioning, reversability-jump the number line, etc)
Using multiplication and division strategies to solve problems involving fractions and ratios.
1. Work this problem out 2 different ways and decide which strategy was the best one.
Tom saved up $423 by doing his paper round. He spent $297 on an iPod Touch. How much money does he have left?
2. Work this problem out 2 different ways and decide which strategy was the best one.
Dina is driving from from Auckland to Wellington which is 658 kms. She is catching the ferry across Cook Strait to Picton then is driving to Dunedin which is 698 kms. How far is she driving in her car?
3. Work this problem out 2 different ways.
Jamie has been packing fruit at the fruit shop. She can fit 18 apples in each bag. If she has packed 8 bags so far how many apples is that?
4. In a school there are four boy scouts to every three girl scouts. If there are forty-two girl scouts, how many boy scouts are there? If there are 81 girl scouts, how many boy scouts are there?
5. To make green paint, a painter mixes yellow paint and blue paint in the ratio of three to two. If he used twelve litres of yellow paint, how much blue paint did he use?
6. The church is going on a trip to Taupo via several buses. The ratio of men to women to children is 1:2:3. If there are 120 people going on the trip, how many men are going? How many women are going? How many children are going?
Term 3 Week 8
Week 8
AA-AM Solving mathematical problems by using the best strategy.
1. Solve by using place value partitioning Card 6 (adding the parts).
Rick drove 368 kms on Thursday and 357 on Friday. How far did he travel altogether?
2. Solve by using rounding and compensation Card 5 (making tidy numbers.)
Hine’s team has scored 197 points this season. Last year they scored 284 points.
How many have they scored over the 2 seasons?
3. Solve by using reversibility. Card 15 (changing into an addition problem) then jump the number line.
There were 562 vehicles in the in the carpark. After lunch 169 left. How many cars were in the carpark now?
4. Solve by using place value. Card 13 or by reversibility. Card 15 then by jumping the number line. Card 2,4
There are 94 jellybeans in the jar. Tom ate 48. How many are left?
Solve by using rounding and compensation. Card 8.
There are 622 seats in the hall for the concert. 395 seats have been sold. How many seats are left?
5. Solve by using place value partitioning - (multiply by the tens then the ones) Or rounding and compensating
The Pizza Shop made 49 pizzas one night. If each pizza was cut into 8 slices. How many slices did they make altogether?
6. Solve by using place value partitioning (use your basic facts of the 8 times tables).
If they made 184 slices how many pizzas did they make?
7. Fractions-Solve this problem
Ms Smith had a packet of biscuits. She gave 2/5 to Sam,1/5 to Tino, then shared what was left between Jamie and Ana. If Ana got 4 biscuits how many were in the packet to start with?
8. Fractions-Solve this problem
Kate ate 2/3 of the lollies. If she ate 18 how many lollies were there?
2/3 of ___ = 18
9. Ratios-Solve this problem
Liz is making cakes for the school cake stall.
She needs a ratio of 3 cups of flour to 1 cup of sugar and 2 eggs for each cake. Using this ratio work out what ingredients she needs to make 5 cakes. How about 15 cakes. Lastly what would she need to make 20 cakes?
10. Ratios-Solve this problem
Tom works at the paint shop. A customer comes in and wants a particular shade of light green. Tom works out that for every litre of white paint he needs to add a ratio of 5 parts of yellow to 3 parts of blue. 5:3
a) How much yellow and blue will he have to add if the customer wants to buy a 4 litre can?
b) How much yellow and blue will he have to add if the customer wants to buy a 4 litre can?
Week 7
AA-Solving mathematical problems by using the best strategy.
Solve by using place value Card 6 (adding the parts) or using doubles.
Rick had 267 cards and his sister has 259 cards. How many have they got altogether?
Solve by using compensation Card 5 (making tidy numbers.)
Sam’s team has scored 298 points this season. Last year they scored 326 points. How many have they scored over the 2 seasons?
Solve by using reversibility. Card 15 (changing into an addition problem) then jump the number line.
There were 349 sheep and lambs together in the paddock. The farmer took all the 257 lambs out into another paddock. How many sheep were there?
Solve by using place value. Card 13 or by reversibility. Card 15 then by jumping the number line. Card 2,4
There are 82 lollies in the jar. Hine ate 27. How many are left?
Solve by using compensation. Card 8.
Timo is helping out selling raffle tickets. He has to sell 625 tickets. He has sold 396 so far. How many has he got left to sell?
Solve by using place value partitioning - (multiply by the tens then the ones)
There are 7 players and 2 reserves in each touch team. There are 43 teams in the competition. How many players are there altogether?
Solve by using place value partitioning (use your basic facts of the 9 times tables).
At the touch competition every competitor gets a free t-shirt. There are 9 competitors per team. If the organiser has bought 198 t-shirts how many teams has he got t-shirts for?
EXTRA: There were 43 teams in the competition how many more t-shirts does he have to buy?
Week 6
1. Solve by using place value Card 6 (adding the parts)
Rick had 317 cards and his sister has 149 cards. How many have they got altogether?
2. Solve by using compensation Card 5 (making tidy numbers.)
Sam’s team has scored 196 points this season. Last year they scored 219 points. How many have they scored over the 2 seasons?
3. Solve by using reversibility. Card 15 (changing into an addition problem) then jump the number line.
There were 428 sheep and lambs together in the paddock. The farmer took all the 231 lambs out into another paddock. How many sheep were there?
4. Solve by using place value. Card 13 or by reversibility. Card 15 then by jumping the number line. Card 2,4
There are 94 lollies in the jar. Hine ate 39. How many are left?
5. Solve by using compensation. Card 8.
Timo is helping out selling raffle tickets. He has to sell 550 tickets. He has sold 297 so far. How many has he got left to sell?
6. Solve by using place value partitioning - (multiply by the tens then the ones)
There are 7 players in each touch team. There are 36 teams in the competition. How many players are there altogether?
7. Solve by using place value partitioning (use your basic facts of the 7 times tables)..
At the touch competition every competitor gets a free t-shirt. There are 7 competitors per team. If the organiser has bought 154 t-shirts how many teams has he got t-shirts for?
8. Fractions: Find out the value of one part to help solve the problem.
Frank gave 1/6 of his marbles to Joe, 2/6 to Sam and shared the 18 left between himself and his 2 brothers. How many did he have in total to start with and how many did he end up with?
Week 5
AA-Solving mathematical problems by using the best strategy.
1. Solve by using place value Card 6 (adding the parts).
Sam drove 472 kms on Thursday and 316 on Friday. How far did he travel altogether?
2. Solve by using rounding and compensation Card 5 (making tidy numbers.)
Joe’s class has collected 197 yummy stickers so far. Tama’s class has collected 256.
How many have they collected altogether?
3. Solve by using reversibility. Card 15 (changing into an addition problem) then jump the number line.
There were 531 vehicles in the in the carpark. After lunch 244 left. How many cars were in the carpark now?
4. Solve by using place value. Card 13 or by reversibility. Card 15 then by jumping the number line. Card 2,4
There are 84 books on the shelf. 38 got taken out. How many are left?
5. Solve by using rounding and compensation. Card 8.
There are 1716 seats in the hall for the concert. 592 seats have been sold. How many seats are left?
6. Solve by using place value partitioning - (multiply by the tens then the ones) Or rounding and compensating
The Cheesecake Shop made 38 cheesecakes.. If each cheesecake was cut into 6 slices. How many slices did they make altogether?
7. Solve by using place value partitioning (use your basic facts of the 6 times tables).
If they made 192 slices how many pizzas did they make?
8. Fractions
1/3 of the class are playing sport. 1/2 of those who are left are working on their netbooks The rest ( 8) are reading quietly. How many people are in the class altogether?
Week 4
Pavlova Problem
There are eighteen strawberries around the outside of the pavlova. Greedy Tom eats two-thirds of the pavlova. How many strawberries does he eat?
Card Crunch
Tom gave a 1/4 of the cards he had to start with to Rick and a quarter to Tama. He had 12 cards left. How many cards did he have to start with.
Lots of Lollies
If Rosie gave 1/8 of the lollies she had to her sister, 3/8 to her brother then shared what she had evenly between herself and her friend Hine. If she ended up with 8 lollies how many did she have to start with.