Short Blocks

Maths Year 4 Spring Decimals and Fractions

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

Introduction to one place decimals (suggested as 3 days)

Planning and Activities

Day 1
Use large pieces of A1 paper, with one cut into 10 equal strips to model 1s and 0.1s. Demonstrate that if a child is holding 1 strip, they have one tenth or 0.1. Repeat for 4 strips and 8 strips. Show that if a child is holding one whole piece of paper and 3 strips or tenths, they have 1.3, etc. Record different decimal numbers.
Group Activities
-- Cut paper to make tenths. Use to play a game counting on in tenths to make 1s and 0.1s.

Day 2
Launch the ITP ‘Moving digits’. Click, then drag cards to make the number 56. Click on ÷ 10. Discuss the place value of each digit, explaining that the 6 is now ‘six tenths’. Point out that we can also write this as zero point 6, 0.6. Repeat, dividing other numbers by 10 to derive 1-place decimals, e.g. 27, 49, 435, 409, 40, 4.
Group Activities
Use the in-depth problem-solving investigation ‘Magical square decimals’ as today’s group activity.
Or, use these activities:
-- Move digit cards on a place value grid to divide 2-digit numbers by 10.
-- Create 2-digit numbers and divide them by 10. Write a generalisation.

Day 3
Draw a large decimal point on a flipchart. Ask 2 children to stand either side holding large digit cards, e.g. 2 and 5 to show 2.5. Ask children to discuss in pairs what each child will need to do if we multiply 2.5 by 10. Model this, showing that 2.5 × 10 = 25 as both digits move one place value column to the left. Repeat for other numbers.
Group Activities
-- Use a ‘function machine’ to multiply and divide numbers by 10.
-- Play bingo to practise multiplication and division of numbers by 10.

With TA or Tutor

These materials are for a TA or Tutor to use with a small group of children or one child.

They support the learning in class in this unit.

Notes are provided for teacher and TA/Tutor.


Back to Lockdown?

If your class or school is having to close for a while, these materials provide a home dimension as well as a clear route map outlining what to teach online, and what to practise at home.

Coming soon!

Mental/Oral Maths Starters

Suggested for Day 1
Count in 1/4s (simmering skills)

Day 2
Divide multiples of 10 by 10 (pre-requisite skills)

Day 3
Count in 1/10s to at least 2 (pre-requisite skills)

Worksheets

Day 1
Write decimals to go with pictures of wholes and tenths.

Day 2
Divide 2-digit numbers by 10, then find which numbers have been divided by 10.

Day 3
Identify result of multiplying by 10, including some inverse calculations.
Identify result of multiplying and dividing by 10, including some inverse calculations.

Mastery: Reasoning and Problem-Solving

  • Complete each number sentence:
    (a) 3.4 × 10 = ☐
    (b) 65 ÷ 10 = ☐
    (c) ☐ ÷ 10 = 12.3
    (d) ☐ × 10 = 81
  • Draw a function machine which divides by 10.
    Write the output for these three numbers: 13, 5, 92.
    Write the input if 0.6 is the output.
    Write the input if 2.2 is the output.
  • Write each fraction as a decimal number.
    One whole and six tenths
    2²/10
    Five wholes and one tenth
    4/10

In-depth Investigation: Magical Square Decimals
Children use the arrangement of digits on a magic square to create one place decimals. They try to demonstrate that they have found all the possibilities.

Extra Support

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