# Maths Year 4 Spring Decimals and Fractions

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

## Unit and non-unit fractions of amounts(suggested as 3 days)

### Planning and Activities

Day 1
Count in thirds along a 0-5 line marked in thirds. Point at a mark; children write the number. Repeat with a line showing 1/4s. Stress mixed numbers, e.g.one and three quarters; equivalence, e.g. one and a half is the same as one and two quarters. Repeat for tenths.
Group Activities
-- Roll a dice to generate differing lengths of a fraction counting sequence.
-- Draw number lines to count in steps of 1/8 and 1/12.

Day 2
-- Use a picture of a chocolate bar with 30 pieces to show how to find 1/5, 3/5, and 4/5 of 30, then 1/6 of 30 and 5/6 of 30. Repeat with 50 pieces to find 1/10 and subsequent non-unit fractions, e.g. 3/10.
Group Activities
-- Write fraction sentences about chocolate bars of 32 and 36 pieces.
-- Write fraction sentences about arrays of 40 and 32.

Day 3
Sketch a pizza and divide it into eight equal sections. If 16 bits of salami are distributed equally, how much on each slice? Show that 1/8 of 16 is 2 (16 ÷ 8); then derive other facts: 2/8 of 16 = 4, 3/8 of 16 = 6, etc. Show that 4/8 is 1/2. Demonstrate using a bar model and repeat with 24 pieces of tomato.
Group Activities
Use the in-depth problem-solving investigation ‘Foodie fractions’ as today’s group activity.
Or, use these activities:
-- Fold a strip of 24 pictures to explore possible unit and non-unit fractions.
-- Investigate possible unit and non-unit fractions of 24 and 36.

### You Will Need

• ‘Fraction lines’ Sheets 1 to 3 (see resources)
• mini-whiteboards and pens
• ‘Fraction lines’ Sheet 4 (see resources)
• 0–9 dice
• Squared paper
• ‘Chocolate’ (see resources)
• Additional activity sheets (see resources)

### Mental/Oral Maths Starters

Day 1
Count 1/2s to at least 10 (pre-requisite skills)

Suggested for Day 2
Tell the time (simmering skills)

Suggested for Day 3
Find a time later (simmering skills)

### Worksheets

Day 1
Fill in missing fractions (in simplest form) in sequences, using fraction lines to help.

Day 2
Find unit fractions, then non-unit fractions of amounts.

Day 3
Use a bar model to help find 1/8s of 32 and 1/6s of 30. Find 1/3s and 1/5s of 30.

### Mastery: Reasoning and Problem-Solving

• Bea counts in quarters, starting at one quarter. She says five numbers then stops. What number should she say next?
• Fill in the missing fractions:
1¹/2, 2, 2¹/2, 3, ☐, 4, ☐, 5
4, 3³/4, 3¹/2, ☐, 3, ☐, 2¹/2
8/10, 9/10, ☐, ☐, 1²/10
• Write all the fraction facts for tenths of 60.
1/10 of 60 =
2/10 0f 60 =
etc. to 10/10.
• Use this bar diagram to help find answers.
 48

(i) 1/8 of 48 =
(ii) 3/8 of 48 =
(iii) 7/8 0f 48 =

• Is 1/10 of 50 the same as 1/5 of 100?

In-depth Investigation: Foodie Fractions
Given fractions of amounts, children work out how many friends are at a picnic.

### Extra Support

Choccie Quarters
Counting in 1/4s; Finding 1/2, 1/4 and 3/4 of amounts