Teaching and Group Activities for Understanding
Day 1 Teaching
Divide 3 pizzas into quarters. Shade five quarters.. How much have I shaded? We say/write this as 5/4, an improper fraction, or 1 1/4 pizzas, a mixed number. Repeat with 10 quarters, 7 thirds and 3 2/3.
Use the in-depth problem-solving investigation ‘Balance of Halves’ from NRICH as today’s group activity.
Or, use these activities:
-- Identify improper fractions which are greater than 1 or 2.
-- Identify improper fractions which are greater than 2, 3, 4 or 5.
Day 2 Teaching
Count in 1/3s along counting stick, until 3 1/3s. What are three thirds? Label 3/3 and 1. Continue saying four thirds, five thirds until six thirds. What is this? Point to 12/3, 21/3. Children write different ways of writing these numbers. Ask children to show other improper fractions.
-- Roll a 1–9 dice to create improper fractions, write them as mixed numbers.
-- Draw diagrams to show improper fractions and mixed numbers.
-- Place improper fractions and mixed numbers on a number line.
Day 3 Teaching
Say that in a school of 105 children, 1/7 are in Reception. 2/7 are in Key Stage 1 and 4/7 are in Key Stage 2. Show a bar model diagram to show this. Model finding each of these fractions. Repeat for other examples.
-- Draw bar models to find unit, then non-unit fractions of amounts.