Teaching and Group Activities for Understanding
Day 1 Teaching
Children fold strips of 16 objects (see resources) in half. How many in each half? Fold it in half again. How many in each quarter? How many in two quarters? 2/4 is the same quantity as 1/2. Fold it in half again to make eighths. How many in each eighth? Write sentences about fractions of the strip.
-- Fold strips of objects to find 1/2, 1/4 and 1/8 of 24.
-- Use bar models to find 1/2, 1/4 and 1/8 of 24 and 32.
Day 2 Teaching
Hand out strips of paper and ask children to fold them in thirds, then sixths. Compare thirds and sixths, agreeing that sixths are smaller. Find non-unit fractions of amounts, e.g. 5/6 of 12, etc.
Use the in-depth problem-solving investigation ‘Andy’s Marbles’ from NRICH as today’s group activity.
Or, use these activities:
-- Fold strips of objects to find 1/6 of 18 and 24.
-- Use folding strips then mental strategies and pattern to find sixths of multiples of 6.
-- Use bar models to find thirds and sixths of 18, 180, 24 and 240.