Maths Year 6 Autumn Decimals and Fractions

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

Add or subtract decimals (suggested as 3 days)

Planning and Activities

Day 1 Teaching
Use counting stick to count in 0.01s from 2.45 to 2.55 and back. Label 2.5 with a Post-it. Write 2.52 – 0.03. Count back from 2.52 to 2.49. Sketch a jotting to show how we ‘bridge’ 2.5. Repeat for 2.47 + 0.07. Mark the centre as 2, then count in 0.01s from 1.95 to 2.05 and back. Use the counting stick and a jotting to work out 2.02 – 0.05.
Group Activities
-- Game to add and subtract multiples of 0.01 crossing through multiples of 1 and 0.1 using a number line.
-- Repeatedly add 0.06, then subtract 0.07. Challenge to repeatedly add multiples of 0.01 to end on a given number.

Day 2 Teaching
Show 3 DVDs labelled £10.49, £14.79, £12.25. Estimate total cost by rounding. Model compact addition to find total cost. Remind children to leave a line below numbers being added so we can write extra digits. Finish and compare with estimate. Repeat for 3 other prices.
Group Activities
-- Add three amounts of money, aligning digits correctly. Estimate totals first.
-- Add two amounts of money, aligning digits correctly. Estimate totals first.
Write three amounts with a total within a given range.

Day 3 Teaching
Use the distance that snails crawl to generate decimal additions. Children round each distance to nearest metre to estimate the total. Model column addition, showing how to align decimal points.
Group Activities
Use the ‘Adapt Four of the Best’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
-- Add and round three distances in metres (2dp) crawled by snails.
-- Shuffle given digit cards to make additions of distances in metres with 2dp, round and find the total.

You Will Need

  • Counting stick
  • Post-it notes
  • Decimal number lines (see resources)
  • 1 to 6 dice
  • Three DVDs with price labels £10.49, £14.79 and £12.25
  • Whole class practice sheet (see resources)
  • Flipchart and pens
  • Digit cards
  • Mini-whiteboards and pens

Mental/Oral Maths Starters

Day 1
Count on in steps of 0.01 and 0.1 (pre-requisite skills)

Suggested for Day 2
Double numbers with 1 decimal place (simmering skills)

or
Halve numbers with 1 decimal place (simmering skills)

Day 3
Round numbers with 2dp to the nearest 1 and 0.1 (pre-requisite skills)

Worksheets

Day 1
Add and subtract multiples of 0.01, crossing through multiples of 1 and 0.1 including word problems and using a number line.

Day 2
Practise using column addition to add two then three amounts of money.

Day 3
Add distances in metres (2dp).

Mastery: Reasoning and Problem-Solving

  • Jo counts from a number to 4.5 in eleven steps of 0.03. What was her starting number?
  • Write the next 4 numbers in each sequence:
    2.68, 2.69, __, __, __, __
    6.43, 6.42, __, __, __, __
    1.98, 1.99, __, __, __, __
  • Write the missing numbers:
    3.24 + 0.04 = ☐
    ☐ + 0.07 = 3.5
    4.56 + ☐ = 4.76
  • Jim runs 13.85 kilometres and Ann runs 12.78 kilometres to meet him. How far have they run in total?


In-depth Investigation: Adapt Four of the Best
Adapt the numbers in the top row and left column to use two-place decimals, e.g. 1.27, 5.09 etc.

Extra Support

All the 3s
Understanding place value in numbers with two identical places; Adding and subtracting multiples of 0.1 and 0.01 (not crossing 1s or 0.1s)

Take Away Night
Using expanded, then compact addition to add amouts of money