Short Blocks

Maths Year 5 Autumn Decimals and Fractions (B)

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

Mixed numbers and fractions of amounts (suggested as 3 days)

Planning and Activities

Day 1 Teaching
Divide 3 pizzas into quarters. Shade five quarters.. How much have I shaded? We say/write this as 5/4, an improper fraction, or 1 1/4 pizzas, a mixed number. Repeat with 10 quarters, 7 thirds and 3 2/3.
Group Activities
Use the in-depth problem-solving investigation ‘Balance of Halves’ from NRICH as today’s group activity.
Or, use these activities:
-- Identify improper fractions which are greater than 1 or 2.
-- Identify improper fractions which are greater than 2, 3, 4 or 5.

Day 2 Teaching
Count in 1/3s along counting stick, until 3 1/3s. What are three thirds? Label 3/3 and 1. Continue saying four thirds, five thirds until six thirds. What is this? Point to 12/3, 21/3. Children write different ways of writing these numbers. Ask children to show other improper fractions.
Group Activities
-- Roll a 1–9 dice to create improper fractions, write them as mixed numbers.
-- Draw diagrams to show improper fractions and mixed numbers.
-- Place improper fractions and mixed numbers on a number line.

Day 3 Teaching
Say that in a school of 105 children, 1/7 are in Reception. 2/7 are in Key Stage 1 and 4/7 are in Key Stage 2. Show a bar model diagram to show this. Model finding each of these fractions. Repeat for other examples.
Group Activities
-- Draw bar models to find unit, then non-unit fractions of amounts.

You Will Need

  • 1–9 dice
  • Counting stick
  • 2–9 cards
  • Bar model pictures (see resources)
  • Whole class practice (see practice sheets Day 3)

Mental/Oral Maths Starters

Day 1
Count in 1/4s and 1/8s along a number line (pre-requisite skills)

Suggested for Day 2
Mental multiplication (simmering skills)

Day 3
Mental division (pre-requisite skills)

Worksheets

Day 1
Write improper fractions as mixed numbers and vice versa using images of pizzas.

Day 2
Convert improper fractions to mixed numbers and vice versa.
Write sequences of mixed numbers according to a given rule.

Day 3
Find non-unit fractions of amounts.

Mastery: Reasoning and Problem-Solving

  • Count in fifths from 0 to 10.
    How many numbers have you said?
  • How many thirds in three whole pizzas?
    How many quarters in four whole pizzas?
    What are 25 fifths equivalent to?
  • Suggest missing numbers to make these sentences true:
    ☐/6 = 2 ¹/6
    1 ☐/10 > ☐/10
    ☐/8 > 3 ¹/☐
  • Find 3/4 of 148:
148
1/41/41/41/4
  • Find 5/8 of 256:
256

In-depth Investigation: Balance of Halves
Can you hang weights in the right place to make the scale balance? Balance of Halves from nrich.maths.org.

Extra Support

Do the Splits
Finding 1/4, 3/4, 1/3 and 2/3 of numbers