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### Practising Mathematics: Developing the mathematician as well as the mathematics

How can your students work like mathematicians?

An engaging selection of tasks contain activities from many areas of mathematics including: Number work, Ratio and Proportion, Algebra, Geometry, Probably and Statistics.

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## Comparing Ratios video transcript

This document contains the transcription of the video which explores the big idea of the 'fractions as ratios' construct.

## Designing assessment tasks: Choosing the fraction model

When designing assessment tasks, the choice of fraction model is an important consideration. This page lists some of the common models for fractions, and gives examples of tasks that suggest or demand the use of that particular model.

## Designing assessment tasks: Choosing the response type

An important aspect in the design of an assessment task is the choice of the response type. This page illustrates the impact of varying the response-type in a task that focuses on comparing unit fractions.

## Designing assessment tasks: With or without context

tdt_F_contexts.pdf 185.55 kB

There are 24 problems on adding and subtracting fractions with related denominators. They are arranged in a grid format and can be printed on card to make a set of task cards.

## Fractions as Measures video transcript

This document contains the transcription of the video which explores the big idea of the 'fractions as measure' construct.

## Fractions as Operators: Modelling the Operators video transcript

This document contains the transcription of the video which explores the big idea of the 'fractions as operators' construct.

## Gameboard for the Colour in Fractions game

The gameboard is a blank fraction wall that can be photocopied for students to play the Colour in Fractions game.

## Grid paper

Grid paper can be used to support the construction of diagrams and number lines when calculating problems with related denominators.

## How to Make a Fraction Wheel of video transcript

This document contains the transcription of the video which shows how to make a fraction wheel.

## Instructions for the Colour in Fractions game

This document contains the playing instructions and rules for the Colour in Fractions game.

## Same denominator problems

A set of sample problems for adding and subtracting fractions with the same denominators. The contexts and the fractions can be changed to suit a particular year level.

## Sorting fractions cards slide presentation

This slide presentation demonstrated the student activity Sorting Fraction Cards.

## Sorting Fractions Cards slide presentation transcript

This document contains the transcription of the powerpoint which shows how to sort fraction cards.

## Template for overlay grids

This document has templates of overlay grids suitable to photocopy onto transparencies.

## Template of different sized shapes

Different sized squares and circles can be used to help students realise the significance of paying attention to different sized wholes.

## The Division Meaning for Fractions video transcript

This document contains the transcription of the video which explores the big idea of the 'fractions as division' construct.

## The Part-Whole Meaning for Fractions video transcript

This document contains the transcription of the video which explores the big idea of the 'part-whole fraction' construct.

## The Sharing Process video transcript

This document contains the transcription of the video which shows how to share out three bread rolls between four plates.

## Using Overlay Grids video transcript

This document contains the transcription of the video which shows how to use overlay grids.

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