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Book 3

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Maths through Language

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 ,,,       ,,,       ,,       ,       Written by Maxine Saunders and Sharon Shepherd

Published by Prim-Ed Publishing


Foreword 'Maths through Language' is a collection of work packages that have been tried and used successfully in the classroom. They provide children with the opportunity to develop their problem-solving skills.

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The work packages have been designed to make children aware of mathematics in their everyday life. Each package is set in an environment familiar to children, or one in which they are interested.

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They can be used with the whole class, in small groups or with individuals. It is intended that concrete materials be used by children when doing these problem-solving activities.

As practising classroom teachers, we have found these to be a valuable and worthwhile resource in our teaching.

Contents

A Visit to the Zoo ...................................................................... 3-7

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The Garden............................................................................. 8-11 Swimming .............................................................................. 12-15

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Sports Day ............................................................................. 16-19 A Picnic ................................................................................. 20-23

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The School Fair ..................................................................... 24-27 Class Cooking....................................................................... 28-32

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The Library ............................................................................. 33-36

Prim-Ed Publishing - Maths through Language - Book Three

2


A Visit to the Zoo

1

A class of children went to the zoo. They went on May 23rd. What day did they go on? May Sun

Tue

Wed Thur

Fri

Sat

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What was this day and date?

Mon

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The next day at school they did lots of zoo activities.

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This is the time they left school. What time did they leave school? It took them 30 minutes to travel to the zoo. What time did they arrive? 12 Show it on 11 1 2 10 the clock.

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They went on 2 small buses. On the first bus were 8 boys and 7 girls. How many on this bus? On the second bus there were 9 boys and 8 girls. How many on this bus? Which bus had more children on it? How many more?

Prim-Ed Publishing - Maths through Language - Book Three

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A Visit to the Zoo

2

At the zoo the 32 children were put into 4 groups of the same size. How many in each group?

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At the zoo they saw many animals. They saw the lions, tigers and the bears.

How many sides does each cage have?

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1.

2.

How many angles does each cage have?

What shape is the bears' 3. cage?

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What shape are the tigers' and lions' cages? Use wooden cubes to work with. Which cage has the biggest area? Have a guess first. Area 1.

2.

The biggest one was the Prim-Ed Publishing - Maths through Language - Book Three

3. cage. 4


A Visit to the Zoo

3

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There were 25 black monkeys. The others were brown. How many monkeys were brown?

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In the monkeys' cage there were lots of monkeys. There were 13 in a tree, 24 were on the ground and 12 were clinging to the wire. How many in the cage?

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If 16 monkeys went inside their house, how many were left outside?

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In the orang-outangs' cage there were bars shaped like this.

A.

B.

If the orang-outangs went up, across and down on their bars, which would be the longest distance? Have a guess first. Colour the longest bar. I used to find out. Prim-Ed Publishing - Maths through Language - Book Three

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A Visit to the Zoo

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They saw 4 bird cages. Each cage had 6 birds in it. Draw 6 birds in each of the empty cages. How many birds in altogether? Write a number story.

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The birds were put evenly into 3 cages. How many were put into each cage?

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The pelican was fed 3 fish every day. How many fish does it eat in a week? Write a number story. How many fish does it eat in 2 weeks? The elephant was given a bale of hay to eat. She only ate half of it. Show how much she ate. Colour in how much she ate.

Prim-Ed Publishing - Maths through Language - Book Three

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A Visit to the Zoo

5

They went to the snake enclosure and saw many snakes. This was the pattern on one of the snakes.

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Finish the pattern. They saw the little zoo train. They counted the wheels. 8

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4

They counted the windows. 5

10 15

They counted the people on it. 6

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This was the sign at the shop.

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Milk 25p

Soft Drinks 15p

Icy poles 20p

Lollies 10p Fruit 10p

Ice-creams 30p

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Each child could buy two things. Colour what you would have bought and write the total cost. What 2 items would have cost the most? Cost: What 2 items would have cost the least? Cost:

Prim-Ed Publishing - Maths through Language - Book Three

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The Garden

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We made a garden at school. Draw a garden. Make it 10 centimetres wide by 10 centimetres long.

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Divide the garden in half.

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Divide each half into halves again, so that the parts are all the same size? How many parts do you have? These are called . Can you write it another way? Colour 2 parts. How much of the garden have you coloured in? How much of the garden is not coloured in?

Prim-Ed Publishing - Maths through Language

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8


The Garden

2

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There are 4 corn seeds planted in each part of the garden. Draw them. How many seeds? Write a number story.

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There are 14 new plants growing. If grubs and snails eat 6 of them, how many will be left? Draw a picture. Write the sum.

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There were15 tomato bushes planted, but only eight grew. How many did not grow? Write the sum.

There were 20 lettuce planted evenly among the 4 parts of the garden. How many will be in each part? Draw a picture and write the sum.

Prim-Ed Publishing - Maths through Language

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9


The Garden

3

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Complete these patterns to make them symmetrical arrangements.

Give the scarecrow a name. When you have finished your work, colour it in.

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Finish the patterns.

Make up a pattern of your own. Use shapes to do with the garden.

Prim-Ed Publishing - Maths through Language

- Book Three

10


The Garden

4

On the first day 3 seeds were up, on the second day there were 6, and on the third day there were 9. Days

Number of seeds

Record this on the table below.

1

If this pattern continued, how many seeds would be up on the eighth day?

2

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3 4

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5

What is happening to the number of seeds each day?

6 7 8

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Make up a word problem of your own about a garden. You can use plants, seeds, flowers, snails, leaves; anything to do with the garden.

Make up another word problem of your own. Give it to a friend to solve.

Prim-Ed Publishing - Maths through Language

- Book Three

11


Swimming

1

Last week, Years Two and Three went for swimming lessons. From one class there were 24 children, from another 23 children and from the third class 20 children.

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How many children went altogether?

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They went on a double-decker bus. On the top sat 45 children. How many sat below? There were 35 boys in the whole group. How many girls were there?

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On the top deck sat 14 boys. How many boys sat on the bottom deck?

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By the second week, some of the children were sick. From one class 21 children went, from another 22 and only 15 from the third.

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How many went to classes altogether?

The bus travelled 20 kilometres in one day. How far did it travel in 3 days?

Prim-Ed Publishing - Maths through Language

- Book Three

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Swimming

2

One day 8 children from one class , 7 from another class and 6 from the other class stayed behind. How many children did not go swimming that day?

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On one day at the swimming pool there were 64 children from our school. Before us there had been 73 children from another school. How many children from the two schools had been to the pool that day?

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On the last day 66 children went swimming and 54 passed their test.

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How many didn't pass their test?

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One day it cost £62.00 to go into the pool, on another day it cost £64.00 and on the third day it cost £63.00. How much did it cost for the 3 days? The children paid £1.00 to enter the pool. How many children went swimming on these three days?

Prim-Ed Publishing - Maths through Language

- Book Three

13


Swimming

3

Draw a swimming pool.

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Make it 6 centimetres wide and 16 centimetres long.

Draw 6 evenly spaced swimming lanes. Colour the area of the pool.

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There were 4 children in each lane. How many children in all the lanes?

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Later there were 29 children in the lanes. How many more children went swimming? To even up the number of children in the lanes, how many more children would be needed?

How many children would be in each lane now? Prim-Ed Publishing - Maths through Language

- Book Three

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Swimming

4

This is when the children went swimming. October Mon

Tue

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Sun

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In what month did they go swimming? What season of the year is this? The 1st day of swimming was the 15th. What day was this? What was the day and date the day before they started? The children went swimming every school day for two school weeks. What day and date was their last lesson?

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Every day they left school at 10 o'clock. 12 Show the time on the clocks. 11 1 3

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10

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It took them 15 minutes to get there. What time did they arrive? Show the time on the clocks. 11

6

12

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1 2

10

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9 8

4 7

Prim-Ed Publishing - Maths through Language - Book Three

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15


Sports Day

1

Yesterday was sports day. At the end of the day the final scores were: Yellow 243 points 232 points

Blue

212 points

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Red

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Green 200 points

Which was the winning team?

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How much did they win by?

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How many points did the teams score altogether?

How many points did Yellow beat Blue by?

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What was the difference between Red and Blue? How many more points did Yellow score than Green? List the teams in order from first place through to fourth place. 1st

2nd

Prim-Ed Publishing - Maths through Language

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3rd

4th 16


Sports Day

2

Here is a tally of some point scores during the morning. Points Scored IIII

II

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Blue

IIII

IIII

IIII

Green

IIII

IIII

III

Yellow

IIII

IIII

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Red

Total

Finish the tally.

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What was the total score at this stage? What was the difference between the highest and 15 the lowest score? 14 How many more points 13 would Red need to be the 12 same as Green?

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Use the tally to make up a graph. How many more points did Green have than Yellow?

11 10 9 8 7

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6

What was the difference between Yellow and Blue?

5 4

If Green scored 4 more points and Blue didn't score any more,who would have the most points?

3 2 1 Red

Prim-Ed Publishing - Maths through Language

- Book Three

Green

Yellow Blue

17


Sports Day

3

In the beanbag relay there were four teams. Each team used 4 beanbags in the race.

The 24 children were put into 4 teams.

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How many children in each team?

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How many beanbags were used altogether?

In the egg and spoon race there were 4 teams of 8 children.

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How many children competed in the event?

Race number

Children running

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After the 1st flat race 6 children have run. After the 2nd flat race 12 children have run. After the 3rd flat race 18 have run.

How many children have run after 10 flat races?

Fill in the table to help with your answer.

Prim-Ed Publishing - Maths through Language

- Book Three

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Sports Day

4

Put the children into teams by completing this teams' table.

24

3

17

5

20

4

19

6

21

3

Children in team

Any left

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Teams

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Children

This is a diagram of the running track.

Finish

Start

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Chairs

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What is the distance in centimetres between the start and the finish?

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What is the distance between the finish and the chairs?

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What is the total distance?

The sports started at 9.00 o'clock and the first break was 2 hours after the start. What time was the break? 12 11 1 Show the time on the clocks. 2

10

3

9

• • Prim-Ed Publishing - Maths through Language

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19


A Picnic

1

A class of 23 went for a picnic at the local park. Park

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School

Show a path from the school to the park. Make this path red.

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Show another path to the park. Make this path blue. Is the blue path longer than the red one?

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Check. Measure the two paths with a piece of string.

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Which was the longer path?

On the way they passed a fence.

Finish the pattern. Prim-Ed Publishing - Maths through Language

- Book Three

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A Picnic

2

The class went for a walk among the trees. They gathered lots of leaves. Before counting them, they guessed how many were there. They did this by making the biggest number they could with three cards.

2

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321

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Make the biggest number you can.

The children counted the leaves. There were 429. Which number above was the closest to 429?

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What was the difference between the two numbers?

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Later they put some of the leaves into groups. They made 3 groups with 10 in each group.

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How many leaves did they have? Draw the picture and write the sum.

They rearranged the 3 groups into 5 even groups. How many in each group? Prim-Ed Publishing - Maths through Language

- Book Three

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A Picnic

3

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Before they ate, they spread several cloths out. Draw one of them. Make it 10 centimetres long and 8 centimetres wide.

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It had a pattern like this around the edge.

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Draw the pattern on the cloth. In the middle of the cloth was a square divided into four triangles. Draw it. Draw some food on the cloth. How many wooden cubes fit around the edge of the cloth? Have a guess first. Guess

Number of cubes

Prim-Ed Publishing - Maths through Language

- Book Three

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A Picnic

4

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On each sandwich plate there were 5 rounds of sandwiches. Each round was cut into 4 smaller sandwiches. How many sandwiches on each plate?

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There are 5 plates of sandwiches. How many sandwiches altogether?

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A big cake was cut into 27 pieces. If the 23 children had a piece each, how many pieces would be left?

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After eating lunch they played some games. What happened when they were put into teams? Number of teams

Children in the team

Any left over

23

3

7

2

23

5

23

9

23

4

23

7

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Number of children

Finish the table. Prim-Ed Publishing - Maths through Language - Book Three

23


The School Fair

1 September

Our school had a fair. It was on the 20th.

Sun

What month was it held in? What day was it held

Tue

Wed Thur

Fri

Sat

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on?

Mon

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It started at 5 o'clock and finished at 9 o'clock. How many hours did it go for? Show on the clocks the time it finished.

Minutes No. of doughnuts 5

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1

10

3

15

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2

The doughnut stall had a special machine. In 1 minute the machine made 5 doughnuts, in 2 minutes it made 10 doughnuts and in 3 minutes it made 15 doughnuts. How many did it make in 5 minutes? How long did it take to make 50 doughnuts?

Prim-Ed Publishing - Maths through Language

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The School Fair

2

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People made cakes for the cake stall. Doughnuts were sold in packets of 6. How many doughnuts would be in 3 packets? Draw and write the sum.

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There were 10 little cakes to a plate. If you bought 4 plates, how many little cakes would you get? Draw and write the sum.

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If you had 30 little cakes, how many plates did you buy? How did you work it out?

The little cakes cost ÂŁ2.00 for a plate. How much would 3 plates of little cakes cost? How did you work it out?

Prim-Ed Publishing - Maths through Language

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The School Fair

3

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At the craft stall there were many items. There were teddy bears of all sizes. There were 53 little bears, 24 middle size ones and 32 big ones. How many teddy bears were for sale?

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There were pencils for sale. When the stall opened there were 143 pencils in one tin and 203 in another. How many pencils did they hope to sell? Write down the sum.

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The pencils were 50p each. How many could you buy for ÂŁ1.00? How many could you buy for ÂŁ3.00?

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There were 36 pictures for sale. They sold 24. How many were not sold? Write down the sum.

Prim-Ed Publishing - Maths through Language

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The School Fair

4

People enjoyed the dunking machine, especially when some teachers had a turn. Colour the squares in the graph to show who was dunked.

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Mr Smith was dunked 4 times. Miss Brown was dunked 5 times. John was dunked 3 times.

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Mr Jones was dunked 7 times. Mrs Berry wasn't dunked.

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Karl

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Mrs Berry

Mr Jones

John

Miss Brown

Mr Smith

Karl was dunked 8 times.

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Who was dunked the most? What was the difference between Mr Smith and Mr Jones? How many more dunks would John need to be the same as Karl? In the food hall the helpers were very busy. They sold 240 hambugers, 325 hot dogs and 234 sausage sizzles. How many food items did they sell altogether? Write down the sum.

Prim-Ed Publishing - Maths through Language

- Book Three

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Class Cooking

1

Every Friday our class cooks. This tally shows how many people liked some of our recipes. Tally

Fruit slice Gingerbread

IIII IIII IIII IIII III IIII IIII IIII IIII IIII IIII IIII IIII IIII II

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Rock cakes

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How many people liked each one? Complete the tally.

This table gives us some information about our cooking. Number liked

Number disliked

Scones

15

10

20

6

26

0

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Pizza

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Shortbread

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Recipe

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What is the table about?

Write down one fact the table tells you.

Prim-Ed Publishing - Maths through Language

- Book Three

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Class Cooking

2

Here is a list of everyone's favourite recipes: Scones Gingerbread Melting moments Health bars Rock cakes

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Draw a graph to show this information.

Gingerbread

Melting moments

Health bars

Rock cakes

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Scones

Which recipe was the children's favourite? Which recipe was the least favoured? How many more children liked the gingerbread • more than the health bars? • more than the melting moments? What is the difference between the scones and the rock cakes?

Prim-Ed Publishing - Maths through Language

- Book Three

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Class Cooking

3

Here are some biscuits on a tray.

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How many altogether? Write down how you worked it out.

Can you do it another way? How?

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If we had 25 scones and put them into groups of 5, how many groups would we have?

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Write down the sum.

If we shared 36 rock cakes evenly into 4 tins, how many would we put into each tin? Record the sum.

Prim-Ed Publishing - Maths through Language

- Book Three

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Class Cooking

4

If 18 biscuits were shared among five children, what would happen?

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We made 31 shortbreads, 43 gingerbread biscuits and 25 melting moments. How many biscuits altogether? Record the sum.

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Over two weeks we made 78 biscuits. We ate 56. How many were left? Write down what you did.

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If we cut the fruit slice into 8 rows of 3, how many pieces did we have? How many pieces would 6 children receive each? Draw in the slice. Show the rows. Write the sum.

Prim-Ed Publishing - Maths through Language

- Book Three

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Class Cooking Flour £1.20

5 100s and 1 000s 35p

Butter £1.15 Sugar 75p

Milk 40p

Raisins 55p

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How much did the following cost: •the sugar and the flour? •the raisins and the milk? •the flour and the butter? •the flour, the milk and the hundreds and thousands?

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How much change will you have from £1.00 •after buying the raisins? •after buying the sugar? •after buying the raisins and the milk?

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How much change will you have from £2.00 •after buying the flour? •after buying the butter and the hundreds and thousands? •after buying the flour and sugar?

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After the first week, 6 people had cooked. After the second week, 12 people had cooked. After the third, 18 people had cooked. How many people had cooked after: •the 4th week? •the 5th week? •the 10th week? The rule is:

Prim-Ed Publishing - Maths through Language

- Book Three

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The Library

1

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How many classes use the library on Thursday and Friday?

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The library at our school is a very busy place. On Monday 5 classes use it, on Tuesday 6 classes and on Wednesday 5 classes. How many classes use the library on these 3 days? There are 24 classes that use the library.

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After 3 classes had been to the library, 24 books, 31 books and 23 books had been put on the returned book trolley. How many books had to be put back on the shelves?

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Once, everyone from 3 classes borrowed books on the same day. There were 32 children in one class, 33 children in another and 31 children from the third class. How many books were borrowed?

Prim-Ed Publishing - Maths through Language - Book Three

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The Library

2

Books in 300s come after before

but

.

Books in 500s come after .

Books in 200s are between and .

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before

but

350

364

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These books have to go back on the shelves.

281

420

149

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Put the books in order.

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On one shelf there are 124 books. On another there are 223 books. How many books on the two shelves?

In the picture book section there are 104 books on display on one shelf and 143 on another shelf. How many picture books are on display?

Prim-Ed Publishing - Maths through Language - Book Three

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The Library

3

A class of 29 children borrowed books from the library, 15 were returned on time. How many books were not returned?

Sa m

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If 23 picture books were taken off the shelf that had 143, how many were left on the shelf?

There are 24 books to be put away. If they are shared among the helpers it is easier.

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Complete the table to see how many books each helper will get. Number of books

Number of helpers

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24

3

24

6

24

2

24

4

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Number of books each

24

8

24

12

Do the helpers get more or fewer books to put away if there are a lot of helpers?

Prim-Ed Publishing - Maths through Language - Book Three

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The Library

4

Every lunch time, 3 different older children go in and help. How many children help during the week?

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How many people, altogether, help during the week?

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The library has a lot of helpers. Every day, 4 different parents help. How many parents help during the week?

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A tally is kept of the classes which return all their books each week. Here is the tally. Tally for return of books

IIII IIII IIII IIII

IIII IIII III IIII I IIII IIII IIII

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Preprimary Year 1

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Year 2 Year 3

18

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Finish the tally.

Which is the best class for returning books? Which class is the most forgetful? Put the classes in order, starting with the best.

Prim-Ed Publishing - Maths through Language - Book Three

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0076UK Maths though Language Book 3