Teaching and Group Activities for Understanding
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.
-- 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.
-- 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.
-- Write fraction sentences about chocolate bars of 32 and 36 pieces.
-- Write fraction sentences about arrays of 40 and 32.
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.
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.