# Fraction Trains

Teacher's Notes

These exercises and activities are for students to use independently of the teacher to practice number properties.

### Number Framework domain and stage:

Fractions, stages 5 - 6, early additive part-whole to advanced additive

### Curriculum reference:

Converting between improper fractions and mixed numbers is not specifically mentioned in the Mathematics in the New Zealand Curriculum document, but can be tied to number level 4.

### Numeracy Project book reference:

These activities can be used to follow the teaching episodes based on, **Book 7, pages 19 and 20** and are for those students who are able to use the associated number properties.

### Prior knowledge. Students should be able to:

- Recognise and explain the symbols for mixed numbers and improper fractions

### During these activities, students will meet:

- Identify that multiples of the denominator indicate that a fraction can be renamed as a whole number
- Converting improper fractions to mixed numbers

### Background

Remember that students who have not reached stage 6 in the "basic facts" domain have not learned all of their basic multiplication facts, and are at stage 7 in this domain to be able to use these to solve division problems. This means they may not be able to develop the 'standard' division method for converting improper fractions to mixed numbers. However, their knowledge of skip counting should allow them to identify that É can all be renamed as whole numbers, and use this knowledge for the conversion.