Maths Year 3/4 Summer Multiplication and Division (B)

Day 1
Use place value cards as a supporting model to revise doubling and halving 2-digit numbers by partitioning and recombining.
Group Activities: T with Y3
Y3/4 Whole class -- Play a ‘chain’ game, halve numbers if even; add 1 when numbers are odd.
Y3 -- Play a 4-in-a-row grid game, doubling 2-digit numbers.
Y4 Use the in-depth problem-solving investigation ‘Set Square’ as today’s group activity.
Or, use this activity:
-- Play a 4-in-a-row grid game, halving 2-digit numbers.

Day 2
Model the grid method for multiplying 2-digit by 1-digit numbers: 14 × 2, 14 × 3, 14 × 6.
Further Teaching with Y4
Model the ladder method and compare to the grid method for 3-digit by 1-digit multiplication, e.g. 786 × 4.
Group Activities: T with Y3
Y3 Use the in-depth problem-solving investigation ‘18 Times Table – Wow!’ as today’s group activity.
Or, use these activities:
-- Describe stepping stones in developing use of the grid method. Rehearse use of preferred image(s) to begin using the grid method.
-- Practise multiplying smaller 2-digit numbers by 1-digit numbers.
Y4 -- Solve 3-digit by 1-digit multiplication challenges.

Day 3
Further shared learning of the grid method to build the 24 times table from 1 × 24 to 10 × 24. Link repeated addition to multiplication.
Further Teaching with Y4
Estimate and solve multiplications: 4 × 782 618 × 6 5 × 579.
Group Activities: T with Y4
Y3 -- Investigate multiplying odd and even 2-digit numbers by 1-digit numbers using the grid method.
Y4 -- Use a written method for 3-digit by 1-digit multiplications, finding answers in a number of given ranges.

• ITP Place Value
• Mini-whiteboards and pens
• ‘Doubling numbers’ Sheets 1 and 2 (see resources)
• Coloured pencils
• Sets of 100s, 10s and 1s place value cards
• ‘Halving numbers’ Sheets 1 and 2 (see resources)
• ‘Steps towards using the grid method for 14 × 5’ Sheets 1 and 2 (see resources)
• ‘Using the grid method’ (see resources)
• Flipchart and pens
• Squared paper
• Number cards 1–9, 11–30 and 21–40

Day 1
Times tables bingo

Day 2
30 times table

Day 3
Multiply and divide by 10 and 100

Day 1
Y3 Double and halve 2-digit numbers.
Y4 Halve 2 and 3-digit numbers.

Day 2
Y3 Grid multiplication.
Y4 Written multiplication.

Day 3
Y3 Grid multiplication.
Y4 Written multiplication.

Y3

• Write the missing numbers in each diagram (see download).
• How many odd numbers between 50 and 100, when halved, give an answer ending 4¹/2?
• Write the missing numbers in this grid (see download).
• Now complete the addition to find the total of the partial products:
  ☐ + ☐ = ☐

Y4

• Calculate: 154 × 7; 6 × 289; 4 × 5 × 9 × 3
• This calculation has the same number missing from each box. Write the missing number in the boxes. ☐ × ☐ – ☐ = 72
• A shop sells some boxes of ‘Triple-Chocs’ that cost £3.58 each, and makes £32.22. How many boxes did they sell?

Y3 In-depth Investigation: 18 Times Table – Wow!
Children use the grid method to derive the 18 times table, then look for patterns in the answers.

Y4 In-depth Investigation: Set Square
Use digits 1–9 once only to complete a calculation grid with given answers for each row and column.

Y3: Doubles Decisions
Doubling numbers up to 50.

Harder Halves
Halving even numbers to 100.

Y4: Multiplication Mix
Using the grid method to multiply 2-digit numbers by 1-digit numbers.

Day 1
Model and share examples of scaling, e.g. with a flapjack recipe and increasing the size of furniture. Discuss use of scaling in everyday life, e.g. maps, toys, model villages, furniture assembly instructions.
Group Activities: T with Y4
Y3 -- Scale down Lego™ houses to 1/4 of their original number of bricks
Scale up rectangles by × 4 and × 10.
Y4 -- Calculate the scaled-up dimensions for a giant’s furniture, converting cm to m (most children multiply by 4; some multiply by 5).

Day 2
Combine numbers of main courses and desserts. Find how many possible combinations. Establish links to tables facts.
Whole class activity: T with Y3
Y3/4 -- Investigate how many different combinations of two-scoop ice creams there are from a choice of four flavours.

Day 3
Revise how to find several multiplication and division facts from one known fact; investigate patterns on a multiplication grid.
Group Activities: T with Y4
Y3 -- Play multiplication/division ‘Ping Pong’ by writing a multiplication or division from the 2, 3, 4, 5, 8 or 10 times tables while a partner writes a related multiplication or division fact.
Practise multiplication and division facts games online.
Y4 -- Investigate patterns on a multiplication grid.

• Tape measures
• Mini-whiteboards and pens
• Lego bricks
• Rulers
• cm2 paper
• Chairs, bowls, spoons and mugs
• ‘12 × 12 Multiplication grid’ (see resources)
• Internet access

Day 1
Double numbers to 50

Day 2
Halve even numbers to 100

Day 3
3 and 4 times tables; 5 and 8 times tables

Day 1
Y3 Scaling problems.
Y4 Scaling problems.

Day 2
Y3 Combinations.
Y4 Combinations.

Day 3
Y3 Related multiplication and division facts.
Y4 Times tables practice.

Y3

• The postcards in the art gallery measure 15cm by 10cm.
  One is of a painting which is 4 times bigger.
  One is of a painting which is 10 times bigger.
  One is of a painting which is 5 times bigger.
  Write the measurements of each painting.
• A painting in the museum measures 160cm by 100cm. The gift shop sells posters of the painting at 1/4 full size and postcards at 1/10 full size. How big are posters and postcards?

Y4

• Write at least six divisions beginning with 3600, e.g. 3600 ÷ 4 = 900.
• Mr Jones’ rectangular garden measures 5m by 8m. His neighbour, Mr Payne, says, ‘My garden is twice as wide and double the length of your garden, so yours is half the size of mine.’ Do you agree with Mr Payne?
• The top-seller at Giovanni’s café is the ‘Quad-Choc-Challenge’ which is a dessert with 4 different flavours of chocolatey ice cream in a long thin dish. Here is one arrangement of flavours (see download). How many others are there?

In-depth investigation: Ice Cream Flavours
Y3/4 Day 2 Group Activity

Y3: Double Double
Multiplying by 4 by doubling twice; Dividing by 4 by halving twice.

Y4: Revisit the Group Activity from Unit 2 Day 1, creating Factor Bugs for a wide range of 2-digit numbers.