# Teacher guide — Year 4, Issue 1

The Whisper Beneath the Sand

## Focus and scope

- AC9M4M01 — Determine an unlabelled scale interval
- AC9M4M01 — Interpret partially labelled scales
- AC9M4N03 — Recognise equivalent fractions
- AC9M4N06 — Solve a practical length problem
- AC9M4N06 — Solve an equal-groups multiplication

Supplied-data reasoning/recognition only where applicable. The multiple-choice tasks do not demonstrate independent modelling, actual measurement, construction or full-year mastery.

## Practical follow-up

Use real partly labelled measuring instruments; draw a grid route; measure a rectangle and explain why area and perimeter use different units.

## Answers

### q01

The team needs a starting reading before testing the air channel. What capacity does the entrance gauge show?

**Answer: 40 L**

Each gap is 20 L. The pointer is 2 gaps from zero: 2 × 20 = 40 L.

### q02

Blaze has 85 cm of measuring cord. The inspection frame uses 35 cm. How much cord remains?

**Answer: 50 cm**

85 − 35 = 50. There are 50 cm left for the next check.

### q03

The equipment scale runs from 0 to 125 kg in five equal gaps. What mass does one gap represent?

**Answer: 25 kg**

125 ÷ 5 = 25 kg per gap.

### q04

Before the door test, Blaze checks the frame’s mass instrument. What reading does the pointer show?

**Answer: 60 kg**

Each gap is 20 kg. The pointer is 3 gaps from zero: 3 × 20 = 60 kg.

### q05

The viewing strip is divided into eight equal parts. Which fraction is equivalent to the filled portion?

**Answer: 1/2**

4/8 = 1/2. The filled parts occupy exactly half of the whole tank.

### q06

The false label has been removed from the test gauge. What capacity does the uncovered scale show?

**Answer: 80 L**

Each gap is 20 L. The pointer is 4 gaps from zero: 4 × 20 = 80 L.

### q07

The larger tank’s scale runs from 0 to 250 L in five equal gaps. How much does one gap represent?

**Answer: 50 L**

250 ÷ 5 = 50 L per gap.

### q08

Four inspection frames each need six clips. How many clips are needed altogether?

**Answer: 24**

4 × 6 = 24 clips.

### q09

Blaze takes a fresh 95 cm cord. She uses 39 cm to position it at the hatch. How much remains to measure the recess?

**Answer: 56 cm**

95 − 39 = 56. There are 56 cm left for the next check.

### q10

Vane’s note says 60 cm. What does the original ruler’s pointer actually show?

**Answer: 40 cm**

Each gap is 20 cm. The pointer is 2 gaps from zero: 2 × 20 = 40 cm. Vane’s claim of 60 cm does not match the scale.

## Compulsory speed practice

- Chapter 1: 5 × 5 = ? Answer: 25 (AC9M4A02)
- Chapter 2: 42 ÷ 6 = ? Answer: 7 (AC9M4A02)
- Chapter 3: 7 × 7 = ? Answer: 49 (AC9M4A02)
- Chapter 4: 48 ÷ 8 = ? Answer: 6 (AC9M4A02)
- Chapter 5: 9 × 6 = ? Answer: 54 (AC9M4A02)

## Source

[QCAA Year 4 Australian Curriculum v9 alignment](https://www.qcaa.qld.edu.au/downloads/aciqv9/mathematics/curriculum/ac9_maths_yr4_as_cd_alignment.pdf), checked 19 September 2026.