Teaching and Group Activities for Understanding
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.
-- 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.
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%.
-- 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.
-- Investigate unit and non-unit fractions of 240.