Short Blocks

Maths Year 5/6 Summer Decimals, Addition and Subtraction

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

Exploring decimals (suggested as 2 days)

Planning and Activities

Day 1
Write 4.378. Discuss digit place value, saying both the fraction and the decimal. Play decimal number bingo to subtract the value of a digit from a 4-digit number with three decimal places. Show cans/jars with masses in grams. Convert the masses into kg. Convert millilitres to litres and kilometres to metres.
Group activities: T with Y5
Y5 -- Use digit cards on a place value grid to convert between km and m, l and ml.
Y5/6 -- Order weights in kg with different numbers of decimal places. Convert to grams to check.
Y6 -- Order numbers with one, two and three decimal places.

Day 2
Write ☐.☐☐☐ > ☐.☐☐☐. Place 0 to 9 cards to make it true. Write a number in between. Repeat with ☐.☐☐☐ < ☐.☐☐☐. Order numbers with three decimal places. Think of one number between each neighbouring pair of numbers: one with one decimal place, one with two decimal places and one with three decimal places. Enter 1 ÷ 3 on the calculator. Discuss rounding errors. Repeat with ÷ 4, ÷ 5 and ÷ 6.
Group activities: T with Y5
Use the in-depth problem-solving investigation ‘Guesstimate’ as today’s group activity.
Or, use these activities:
Y5 -- Play a number line game to practise ordering numbers with three decimal places.
-- Play a number line game to practise ordering numbers with one, two or three decimal places.
Y6 -- Investigate divisors 2 to 10 that will give rounding errors on the calculator.
-- Investigate divisors 2 to 20 that will give rounding errors on the calculator.

You Will Need

  • Number cards 0–9,
  • Cans and jars with weights (in grams) written on sticky notes
  • Weights: 1g, 10g and 100g
  • ‘Converting measurements’ (see resources)
  • A3 paper
  • Digit cards 0–9
  • ‘Cat weights’ (see resources)
  • Mini-whiteboards and pens
  • ‘5 to 6 landmarked line’ (see resources)
  • Calculators
  • Interactive whiteboard calculator
  • Coloured pencils
  • ‘0 to 1 landmarked lines’ (see resources)
  • ‘Number grid’ (see resources)

Short Mental Workouts

Day 1
Count on and back in steps of 0.002

Day 2
Round numbers with one or two decimal places to the nearest whole

Worksheets

Day 1
Y5 Convert between km and m, l and ml.
Y6 Convert between km and m, l and ml. Order weights, lengths and capacities

Day 2
Y5 Locate 1-, 2- and 3-place decimals on a number line; order smallest to largest.
Y6 Enter the key sequences into a calculator. Which calculations does the calculator get wrong?

Mastery: Reasoning and Problem-Solving

Y5

  • Write the value of each digit as a fraction:
    0.375
  • Write the total of this addition as a decimal:
    6/1000 + 4/10 + 3/100
  • Ali’s homework needs marking. Write the correct answers for those he has wrong. Explain any mistakes Ali is making.
    Write < or > or = between each pair of numbers:
    (a) 0.34 < 0.099
    (b) 1.075 > 1.08
    (c) 6.006 < 6.06
    (d) 5.264 > 5.27
    (e) 9.999 > 10.001

Y6

  • Write the value of each digit as a fraction:
    3.726
  • Write the total of this addition as a decimal:
    9/1000 + 3/10 + 7/100
  • Sadi’s homework needs marking. Write the correct answers for any she has wrong. Explain any mistakes Sadi is making.
    Write < or > or = between each pair of numbers:
    (a) 0.27 < 0.088
    (b) 1.075 > 1.09
    (c) 3.003 < 3.03
    (d) 5.148 > 5.32

In-depth Investigation: Guesstimate
Children calculate the capacity of their classroom in litres.

Extra Support

Y5: Decimal divisions
Converting from cm to m and vice versa. Understanding place value in numbers with two decimal places.

Y6: Deduce the Decimal
Understanding place value in numbers with three decimal places.