Short Blocks

# Maths Year 6 Spring Decimals and Fractions (B)

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

## Percentages and fractions of amounts(suggested as 4 days)

### Planning and Activities

Day 1 Teaching
Which fractions with denominators less than 15 can be written as 1/15s? Take feedback (1/3s and 1/5s). Show how 1/3 is 5/15 and 1/5 is 3/15. Write 2/3 and 3/5 and write these as 1/15s to compare them. Ask children to use equivalence to compare 1/2 and 3/5 then 7/10 and 3/4.
Group Activities
-- Explore fractions with an equivalent number of 1/12s.

Day 2 Teaching
Use a 1–100 bead bar. Say that each bead is one hundredth of the bar. Write 1/100. Say it is also 1% of the bar. Per cent means out of 100. Show 5 beads and write this as 5/100 or 0.05 or 5%. Show that these all mean the same thing. Repeat for other beads then discuss equivalents for 1/3 and 2/3.
Group Activities
Use the in-depth problem-solving investigation ‘Doughnut Percents’ from NRICH as today’s group activity.
Or, use this activity:
-- Use loop cards (dominoes) to explore fraction, decimal and percentage equivalents. Use online activities to consolidate.

Day 3 Teaching
Display a percentages fact web. 50% is equivalent to 1/2 so we can halve £320. Knowing 50%, we can work out 25%. How can we find 10%? It is the same as finding 1/10. Children find 10% and 1% (1/100), then discuss how to find 11%, 20%, 21% and 32%.
Group Activities
-- Explore percentages of an amount of money (£150).
-- Explore percentages of an amount of money (£328).

Day 4 Teaching
Write 1/6 of 150; ask children to discuss how to do it. Draw out dividing by 6. Children do it. Take feedback on methods, e.g. using a written method, or dividing by 3, then halving. What is 5/6 of 150? Draw out multiplying 25 by 5, or subtracting 25 from 150. Find fractions of 150 that give whole-number answers. Find unit and non-unit fractions of 150, e.g. 1/5 then 3/5, 1/15 then 7/15.
Group Activities
-- Investigate unit and non-unit fractions of 240.

### Mental/Oral Maths Starters

Day 1
Write improper fractions as mixed numbers (pre-requisite skills)

Day 2
Equivalent fractions and decimals (pre-requisite skills)

Day 3
Equivalent fractions and percentages (pre-requisite skills)

Day 4
Find unit fractions of amounts within tables (pre-requisite skills)

### Worksheets

Day 1

Write fractions with unrelated denominators as 1/10s, 1/6s or 1/12s, then compare.

Day 2
Fill in the missing equivalent fractions, decimals and percentages on a line.

Day 3
Use equivalence with fractions to find percentages of given amounts of money.

Day 4
Use, then draw bar models to find unit and related non-unit fractions of amounts.
Find non-unit fractions of amounts, then answer word problems.

### Mastery: Reasoning and Problem-Solving

• Write three fractions which are equivalent to 3/4.
Write three fractions which are equivalent to 2/5.
• True or false?
2/5 is the same as 20%.
0.4 is the same as 4%.
10% is the same as 0.1.
30% is the same as 1/3.
• Find 10% of these prices. Use that to find 20%.
(a) £14.20
(b) £1.50
(c) £99
• Show that one fifth of 320 is 3 less than one third of 201.

In-depth Investigation: Doughnut Percents
A task involving the equivalence between fractions, percentages and decimals. Members of the group must notice the needs of others and respond. Doughnut Percents from nrich.maths.org.

### Extra Support

Special People
Understanding what a percentage is

Fraction Frenzy
Finding fractions of amounts (1/4s, 1/3s, 1/5s, 1/10s)