Maths Year 5 Autumn Decimals and Fractions

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

Divide by 10/100; 2-place decimals (suggested as 2 days)

Planning and Activities

Day 1 Teaching
Use a place value chart of whole numbers, tenths and hundredths. Ask children to describe each row and show what happens if a digit is multiplied by 10 or 100. Suppose a digit is divided by 10? Make different numbers using the chart/place value\ additions.
Group Activities
-- ‘Zap’ digits in numbers with 2 decimal places, using a calculator.
-- Play a game using the place value grid to reinforce the value of different digits.

Day 2 Teaching
Write numbers in a 100s, 10s, 1s, 0.1s and 0.01s place value grid, multiply and divide by 10 and 100. Give 4 children number cards, e.g. 1, 2, 3, 4. They stand on either side of a large decimal point on the flipchart to show 12.34. They multiply their number by 10 and move accordingly. Do the class agree? Multiply by 10 again, then divide by 100. Repeat.
Group Activities
Use the in-depth problem-solving investigation ‘Dicey Operations in Line (adapt Game 6) from NRICH as today’s group activity.
Or, use these activities:
-- Use digit cards in place value grids to multiply and divide by 10 and 100 – up to 2 decimal places.

You Will Need

  • Place value chart (see resources)
  • Calculators
  • 100s, 10s, 1s, 0.1s and 0.01s place value grid (enlarge to A3)
  • sets of 0–9 digit cards
  • Large number cards (1–9)
  • 1–6 dice

Mental/Oral Maths Starters

Day 1
Place value in 1-place decimal numbers (pre-requisite skills)

Suggested for Day 2
Adding to the next whole number from a 1-place decimal number (simmering skills)

Worksheets

Day 1
Complete place value number sentences,
e.g. 1 + 0.5 + ☐ = 1.58.

Day 2
Work out the outputs for × 10, ÷ 10, × 100 and ÷ 100 function machines.

Mastery: Reasoning and Problem-Solving

  • Divide 27,680 by 10 repeatedly until you get a number that is less than 100. Write that number.
  • Write the next two numbers in each sequence.
    4650 465 ____ ____
    2.953 29.55 ____ ____
    9300 930 93 ____ ____
  • Write the missing numbers.
    23.4 ÷ 10 = ☐
    ☐ × 100 = 34
    460 ÷ ☐ = 4.6


In-depth Investigation: Dicey Operations in Line (adapt Game 6)
Roll a 0 to 9 dice four times to create a calculation in the form ☐☐☐☐ ÷ 10 or ☐☐☐☐ ÷ 100. Whoever has the answer closest to 555.5 or 55.55 wins. Dicey Operations in Line (adapt Game 6) from nrich.maths.org.

Extra Support

Moving Digits
Multiplying and dividing amounts of money by 10