# Fractional blocks

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:

Number, level 3

### Numeracy Project book reference:

These activities can be used to follow the teaching episodes based on, **Book 7, pages 15-17 **and are for those students who are able to use the associated number properties.

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

- Identify and explain fraction symbols

### During these activities, students will meet:

- Interpreting a fraction as a ratio

### Background

In this activity, one understanding to develop is that 1/2 means ‘1 out of 2’, so to shade 1/2 of a block of 16 squares, every other square needs to be shaded. Using symmetry in shading is another important aspect of the work, as it allows the student to visualise the block in different ways – that is see it as a block of 16 squares (so each is a sixteenth) or as 4 rows of 4 squares (so each is a quarter). This is the start of equivalent fractions.

Remember that students who have not reached stage 6 in the “basic facts” domain have not learned all of their basic multiplication facts, so a multiplicative strategy based purely on the numbers may not work for all students. The numbers used in these activities have been kept simple to reflect this, and materials have been provided even at the ‘number properties’ stage.