# Proportional thinking - Early proportional thinking

This resource has been developed in partnership with the NSW Mathematics Strategy Professional Learning team, Curriculum Early Years and Primary Learners, and Literacy and Numeracy.

## Using the resource

This resource is the first section of a four-part resource supporting proportional thinking. Use this resource in conjunction with the other resources in this series in order to support a connected network of critical mathematical concepts, skills and understanding.

### Task 1: Numbers on a line

Core learning: Visualising the whole to approximate and adjust estimations of halves and quarters.

• Variation 1: Repeat the activity with numbers with various ranges of three- or four-digit numbers.

• Variation 2: Students identify the related fraction and write it underneath the number cards.

### Task 2: Colour in fractions

Core learning: Equivalent fractions express the same amount by using different sized fractional parts

### Task 3: Make a whole game

The task is from Teaching Mathematics: Foundations to Middle Years, page 542, Make a Whole Game from Siemon et al. (2021).

Core learning: There are many different fractions equal to any given fraction and a fraction can be renamed using equivalence

### Task 4: Decimal numbers on a line

Core learning: Benchmark fractions can assist in dividing space on a number line.

• Variation: Students order decimals and fractions on a number line.

The task is from D. Clarke and A. Roche, Engaging Maths: 25 Favourite Maths Lessons, (2014).

Core learning: Renaming numbers using place value understanding helps to sequence, order and compare numbers.

• Variation: Play the game again, this time including thousandths

Core learning: Mental models of arrays are helpful for exploring multiplicative situations.

• Variation: Students build the complete array and move the counters to show the fraction of the collection