Teachers TV Document

Title

Teachers’ Notes for Maths Lesson Starts

Associated Teachers TV programmes

Primary ICT: Whiteboard Maths – Eight Lesson Starts

Note to teachers

This document was not created by Teachers TV but the author has allowed us to publish it here to be used for educational purposes

PIGGY’S PROBLEM YEAR 3 MULTIPLICATION

Piggy is entering the Most Glamorous Pig of The Year competition and hopes to win first prize. To help with her complexion she is planning to eat lots of apples. All the boxes of apples cost the same, but they each contain a different number of bags of apples. Which box should she choose in order to get the most apples?

BOX 1:
5 apples per bag.
5 bags. / BOX 2:
6 apples per bag.
4 bags. / BOX 3:
11 apples per bag.
2 bags.
BOX 4:
3 apples per bag.
5 bags. / BOX 5:
4 apples per bag.
7 bags. / BOX 6:
2 apples per bag
8 bags.

Extension

There are another two boxes of bags of apples, one has 20 apples, and the other 18 apples. How many might be in each bag, and how many bags might there be? Try and find more than one answer for each.

THE PUPPY PROBLEM YEAR 3/4 MULTIPLICATION/DIVISION

Meg has 400grams of food and 10 puppies. How much food does each puppy get?

Extension

Meg has sold six of the puppies. How much food does she need now?

A month later, the puppies are growing fast. They now need twice as much food. How much does she need now?

THE TRAIN PROBLEM YEAR 4 MULTIPLICATION

In each carriage there are 32 seats. There are 12 carriages on the train. How many people can travel on the train seated?

Extension

The train is half full, how many people are on the train?

A school is going on a school trip. There are 310 children and 20 adults. How many carriages will be needed?

In another train, there are twice as many seats in each carriage, but only half the number of carriages, how many seats altogether?

THE PIRATE’S PROBLEM YEAR 4 ANGLES

Pirate Kate has lost her treasure map. All she has left are the instructions she wrote down to help her find her way to the treasure from Dead Man’s Rock. The directions relate to angles on his compass. Every angle starts with her facing North at 0 degrees:

·  Start at Dead Man’s Rock, facing North at 00.

·  Turn 900 and walk forward 10m.

·  From 00, turn 1800 and walk forward 5m.

·  From 00, turn 2700 and walk forward 5m.

·  From 00, turn 3600 and walk forward until you cross your original path

- X marks the spot!

Draw Pirate Kate’s map and find the buried treasure.

Extension

Plan a route 15m long and write instructions to get back to Dead Man’s Rock.

NATEISHA’S PROBLEM YEAR 5 FRACTIONS & PERCENTAGES

Nateisha is doing a survey of what people in her class have in their packed lunches. Today she has a sample of ten of her classmates.

·  3 pupils have cheese sandwiches

·  2 pupils have vegetable pasta salads

·  2 pupils have pork pies

·  2 pupils have rice salad with beans

·  1 pupil has a cold chicken leg

What fraction are eating pasta salad? What is this as a percentage?

What percentage are eating meat?

Extension

What proportion of children are eating meat? What is the ratio of meat to non-meat choices? What other ratios can you write for Nateisha’s survey?

In a different group of 10 children, four children have tuna sandwiches, and the rest have either pasta salad or chicken wraps. Twice as many children have pasta salad as chicken wraps. How many have chicken wraps and how many have pasta salad?

THE CAKE PROBLEM YEAR 5 PERCENTAGES

Jessica, Charlie, Tim and Sue are all making a chocolate cake together. Each does a different amount of preparation.

Jessica stirs in the ingredients to make the cake mixture. Charlie makes the frosting. Tim pours the mixture into the tin and puts it in the oven. Sue does the decorations.

The cooks want to divide the cake according to the amount of work they each did. Jessica did 50% of the work, so she should get 50% of the cake. Charlie did half as much as Jessica. Tim did half as much work as Charlie and Sue did the same amount of work as Tim.

Sketch and label a cake to show the percentages each person will get?

Extension

What percentage is eaten by girls? And boys?

The children decide to sell the cake rather than eat it. The cook sells the whole cake for £10. How much will each child get?

THE THIEF’S PROBLEM YEAR 5/6 SUBTRACTION / DIVISION

The Thief is planning to rob the bank but needs to work out how many gold bars he can steal and still go fast enough to escape the police.

The fastest the car can travel is 140kmp. The slowest the car can travel is 100 kph. Each gold bar slows the car down by 2.5kph. what is the maximum number of gold bars the thief can steal without being caught by the police?

Extension

Shifty Sam has a van. Its maximum speed is only 120km/h, but each gold bar will only slow it down by 1.5km/h. Which vehicle will be best, the car or Sam’s van?

MRS HANSON’S PROBLEM YEAR 6 VOLUME

Mrs Hanson has to work out how many dice fit in a box. The dice are 4cm x 4cm x 4cm and the box is 40cm x 40cm x 40cm. How many dice do you think will fit in a box and how many boxes will she need for the 10,000 dice?

Extension

She also has some bigger boxes which measure 80cm by 80cm by 80cm. How many dice do you think will fit in this box? How many smaller boxes would fit in this large box?