Teaching and Group Activities for Understanding
Day 1 Teaching
Write on the board the symbol %. Ask children where they’ve seen this. Per cent means per or out of 100. Show a blank 100-square. Each square is 1% of the whole square. Write 1%. What fraction is this? Write 1/100. Shade the top row. What fraction is shaded? In tenths? In hundredths? Continue like this.
-- Identify equivalent percentages, fractions and decimals shaded on 100-squares.
-- Colour some 5 × 2 rectangles according to given percentages.
Day 2 Teaching
Write on the board two headings: ‘swimming’ and ‘cycling’. Ask ten children to stand next to their favourite. What fraction prefer swimming? Show a blank 100-square, shade this number of tenths. What is this as fraction out of 100? As a percentage? Repeat with different children and different sports.
Use the ‘Percentage puzzles’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
-- Apply understanding of equivalent fractions, decimals and percentages to create a display of ‘mobiles’.
Day 3 Teaching
Display three word problems, all of which require that children recognise percentage and fraction equivalences, e.g. that 50% is equivalent to 1/2 and 25% is equivalent to 1/4. Solve the problems using equivalences.
-- Use blank 100-squares to help find percentages of 200 and 300
-- Find percentages of amounts. Use conversion to percentages to compare fractions with different denominators.
-- Find any percentage of an amount by using ‘key’ percentages as a starting point.