Short Blocks

# Maths Year 3/4 Spring Decimals and Money

Each unit has everything you need to teach a set of related skills and concepts.

## x and ÷ with money and 1-place decimals(suggested as 3 days)

### Planning and Activities

Day 1 Teaching
Model multiplying and dividing by 10 using a place value grid.
Further Teaching with Y4
Divide by 10 to give tenths using decimal place value grid.
Group Activities: T with Y4
Y3 -- Create 2-digit numbers and multiply and divide them by 10. Record these calculations. Some children challenge others to guess a starting number by giving the answer to × 10 questions.
Y4 -- Move digit cards on a place value grid to divide 2-digit numbers by 10. Write a generalisation.

Day 2 Teaching
Model multiplying and dividing by 10 and 100 using a place value grid.
Further Teaching with Y4
Multiply 1 place decimals by 10, moving digits across the decimal point. Use function machine to x10 and ÷10.
Group Activities: T with Y3
Use the in-depth problem-solving investigation ‘Testing 10s’ as today’s group activity.
Or, use these activities:
Y3 -- Play a divide and multiply card game.
Y4 -- Use a function machine or play bingo to practise multiplying and dividing numbers by 10.

Day 3 Teaching
Model multiplying and dividing by 10 and 100 (one-place decimals) using ITP ‘Moving digits’.
Further Teaching with Y3
Multiplying and dividing by 10 and 100 using money.
Group Activities: T with Y3
Y3 -- Multiply and divide shop prices by 10 and 100.
Y4 -- Find different routes through a maze (× 10, ÷ 10, × 100, ÷ 100) where the same number will come out exactly as it was entered.

### You Will Need

• 100s, 10s 1s place value grid (see resources)
• 10s, 1s, 0.1s place value grid (see resources)
• Cardboard box with two slots
• Sticky notes labelled ÷ 10 and × 10
• ÷ and × card game function cards and number cards (see resources)
• ‘Party bag toy shop’ sheet (see resources)
• Money place value grid (see resources)
• ‘Multiplying by 10 and 100’ sheets 1 and 2 (see resources)
• ITP: ‘Moving digits
• Real money
• ‘Multiplication and division maze’ (see resources)

### Short Mental Workouts

Day 1
Division facts for 10 times table

Day 2
Division facts for 5 times table

Day 3
£ and p notation

### Worksheets

Day 1
Y3: Multiply and divide by 10.
Y4: Divide by 10 with decimals.

Day 2
Y3: Multiply and divide by 10 and 100.
Y4: Multiply and divide by 10 with decimals.

Day 3
Y3: Multiply and divide money by 10 and 100.
Y4: Multiply and divide by 10 and 100 with decimals.

### Mastery: Reasoning and Problem-Solving

Y3

• Describe in words what happens to a number when we multiply by 10. Now explain why it happens. You may draw a picture if it helps.
• Write the missing numbers:
(a) ☐ × 10 = 550
(b) 100 × 39 = ☐
(c) ☐ ÷ 10 = 60
(d) 17 × ☐ = 170
(e) 500 ÷ ☐ = 5
(f) ☐ × 10 = 990
• Write the result number in each chain:
5 × 100 ÷ 10 × 10 ÷ 100 = ?
300 ÷ 10 ÷ 10 × 10 × 10 = ?
40 × 10 ÷ 100 × 10 = ?
Invent your own chain where you finish with the starting number.
• Write the missing numbers
£3.40 × 10 = ☐ ☐ ÷ 10 = £5.50
100 × 9p = ☐ £7 ÷ ☐ = 7p

Y4

• Complete each sentence:
3.4 × 10 = ☐ 65 ÷ 10 = ☐
☐ ÷ 10 = 12.3 ☐ × 10 = 81
• Write the value of one tenth of each number:
57 84 6 13
• Use this fact 56 = 7 × 8 to find the answer to each calculation:
7 × 80 7 × 0.8 7 × 800 560 ÷ 8

In-depth Investigation: Testing 10s
Children multiply (Y3) or divide (Y4) numbers by 10, carry out a given procedure and look for patterns in their answer.

### Extra Support

Y3: Treasure or Trap
Multiplying and dividing by 10

Zeros Matter
Writing amounts of money in pounds and pence, including amounts with 0 in the 10ps or 1ps column

Y4: Moving Digits
Multiplying and dividing by 10 (whole number answers)

Digit Dance
Multiplying and dividing by 10 (including numbers and answers with one decimal place)