Short Blocks

Maths Year 5 Summer Decimals and Fractions

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

Place value in 3-place decimals (suggested as 3 days)

Planning and Activities

Day 1 Teaching
Write on the board 3.33. Discuss what each 3 represents. Write it on a place value grid to check.
Split the class into two groups. For each team, write on the board ☐.☐☐. Using number cards 0–9, teams take turns to choose, and then place a card in their number. The aim is to make largest number possible, then the smallest number.
Group Activities
-- Complete a short investigation to revisit 2-place decimals.

Day 2 Teaching
Display a place value chart and labels. Discuss the new ‘thousandths’ label. Ask children what happens to the digit 5 as each number is multiplied or divided by 10. Circle a number on each line and record the total of the circled numbers. Repeat, this time missing out a number on one or more rows.
Group Activities
-- Write place value additions to match numbers with three decimal places.
-- Write place value additions to match numbers with three decimal places. Derive missing numbers.

Day 3 Teaching
Show a place value grid on the IWB. Write 6.426 and read it together. Give four children number cards, e.g. 1, 2, 3 and 4 to show 1.234. They stand either side of another child holding a large decimal point. Now multiply the number by 10 and children move accordingly. Repeat to multiply and divide by 10 or 100.
Group Activities
Use the in-depth problem-solving investigation ‘Greater Than or Less Than?’ from NRICH as today’s group activity.
Or, use these activities:
-- Move digit cards on a place value grid to ×/÷ by 10 and 100.
-- Multiply and divide a number by 10, 100 and 1000. Divide capacities in ml to convert to litres.

You Will Need

  • Number cards 0–9
  • Whiteboards and pens
  • Place value chart (see resources)
  • Place value chart labels (see resources)
  • Place value grid (see resources)
  • Large number cards 0–9
  • Flipchart and pens
  • Large sheets of paper

Mental/Oral Maths Starters

Day 1
Count in steps of 0.01 (pre-requisite skills)

Day 2
Count in steps of 0.001 (pre-requisite skills)

Day 3
Convert between m and cm (pre-requisite skills)

Worksheets

Day 1
Compare order and round numbers with 2 decimal places.

Day 2
Complete place value partitioning additions for numbers with 3 decimal places, e.g. 1.58 + 0.005 = ☐

Day 3
Work out the outputs for ×10, ÷10, ×100, ÷100, ×1000 and ÷1000 function machines.

Mastery: Reasoning and Problem-Solving

  • Write the next numbers in each sequence.
    41, 4.1 ____ ____
    0.009, 0.09 ____ ____
    20, 2 ____ ____ ____
  • Divide 65 by 10 repeatedly until you get a number that is less than 0.1. Write that number.
  • True or false?
    4.3 ÷ 100 = 0.43
    109 = 1.009 × 100
    0.005 × 100 = 0.5
    71 ÷ 1000 = 0.0071
    164 = 0.164 × 1000
    804 ÷ 1000 = 0.084

In depth Investigation: Greater Than or Less Than?
Use numbers and symbols to make a number sentence correct. How many different ways can you find? Greater Than or Less Than? from nrich.maths.org.

Extra Support

Rainbow Additions
Understanding place value in numbers with two decimal places

Left, Right, Left, Right
Multiplying and dividing by 10 (numbers and answers to include numbers with 2 decimal places)