AA-Solving mathematical problems by using the best strategy.
Solve by using place value Card 6 (adding the parts).
Sam drove 369 kms on Thursday and 427 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 397 yummy stickers so far. Tama’s class has collected 206
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 417 vehicles in the in the carpark. After lunch 288 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 152 books on the shelf. Tom ate 78 got taken out. How many are left?
5. Solve by using rounding and compensation. Card 8.
There are 834 seats in the hall for the concert. 393 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 32 cheesecakes.. If each cheesecake was cut into 8 slices. How many slices did they make altogether?
7. Solve by using place value partitioning (Reversabilty-use your basic facts of the 8 times tables).
If they made 344 slices how many pizzas did they make?
8. Solve by using rounding and compensation. Card 8.
Tom cycles to work every day. The distance is 16.33 km. He bikes 7.9 km then stops for a coffee. How far has he got to go.
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?
AA-AM Solving mathematical problems by using the best strategy.
1. Solve by using place value Card 6 (adding the parts).
Rick drove 359 kms on Thursday and 355 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 296 points this season. Last year they scored 277 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 463 vehicles in the in the carpark. After lunch 168 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 96 jellybeans in the jar. Tom ate 49. How many are left?
5. Solve by using rounding and compensation. Card 8.
There are 716 seats in the hall for the concert. 397 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 Pizza Shop made 39 pizzas one night. If each pizza 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 186 slices how many pizzas did they make?
Fractions-Solve this problem
8.Fractions
Ms Smith had a packet of biscuits. She gave 2/6 to Sam,1/6 to Tino, then shared what was left between Jamie and Ana. If Ana got 6 biscuits how many were in the packet to start with?
9. Proportions and Ratios-Solve this problem
Liz is making cakes for the school cake stall.
She needs a ratio of 4 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 6 cakes. How about 20 cakes.
1. It’s 7km from Tim’s house to where his Grandma lives. It’s uphll on the way there so he can only cycle at 14kph but he can do 21kph on the way back.
Tim leaves his house at 6pm. How long can he stop at his Grandma’s house if he wants to be back home for his favourite TV programme at 7pm?
If he wants to stay at his Grandmother's for 1/2 hour, what time will he have to leave home?