Year level: 7

Strand: Number

Lesson length: 50–60 mins

In this lesson, students use mathematical modelling in measurement (comparing and evaluating sports results) to explain equivalence between fractions, decimals and percentages, and represent rational numbers on a number line.

### Achievement standard

Students choose between equivalent representations of rational numbers and percentages to assist in calculations.

### Content description

Students find equivalent representations of rational numbers and represent rational numbers on a number line. AC9M7N04

General capabilities

Numeracy

The following assessment opportunities are outlined below.

• Collect the Number lines used in the Mix and match order game to evaluate students correctly represent rational numbers provided on the number line.
• Observation checklist could be used for personalised recordings of student understanding.
• Exploring sporty rational numbers worksheet – this includes negative rational numbers.

Some students may:

• not know the meaning of zeros in decimal numbers and the relationship between decimal numbers and fractions
• label the places to the right of the decimal point as tenths and hundredths and write 2.45 as 2 +   4 10  5 100 , for example, but cannot link this with other ways of writing the decimal, such as: 2 +  45100.
• be unable to select a common partitioning (denominator) to enable two fractions to be compared or combined unless an equivalence they already know is involved
• not understand the pattern in the sequence 1,  1 10 ,   1 100 ,   1 1000 is central in understanding decimal notation.

Students can:

• compare and orders fractions and represents these on a number line
• order numbers with more than one decimal place
• connect familiar percentages and fractions to their decimal equivalent
• locate integers on a number line.

## What you need:

• Lesson plan (Word)

• Teacher's slides (PowerPoint)

• Mix and match order game (PDF)

• Exploring sporty rational numbers worksheet (Word)

• Blu Tack, Vertical whiteboards or A3 blank paper

• Calculators (each student)