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)