### 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.**Group Activities**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.

**Group Activities**

-- 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.

**Group Activities**

-- Draw bar models to find unit, then non-unit fractions of amounts.