# Teacher guide — Year 5, Issue 1

The Whisper Beneath the Sand

## Focus and scope

- AC9M5M01 — Select units for precision
- AC9M5M01 — Use smaller metric units for precision
- AC9M5N05 — Add fractions with related denominators
- AC9M5N07 — Interpret a division remainder in context
- AC9M5N09 — Interpret a supplied additive measurement model (partial modelling component)

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

Measure an actual object precisely; construct an angle with a protractor; fold a paper net and explain opposite faces. These practical actions extend the recognition questions.

## Answers

### q01

Check the entrance support. The support piece measures 12 cm. Record its length in millimetres for the support plan.

**Answer: 120 mm**

12 × 10 = 120. The length is 120 mm; the object has not changed size.

### q02

Prepare the measuring cord. The measuring cord is 2 m long. The frame uses 0.75 m. How much remains?

**Answer: 1.25 m**

2 − 0.75 = 1.25. There are 1.25 m left for the next check.

### q03

Label the supplies. Which unit is most useful for measuring the mass of a tiny fastening clip?

**Answer: grams**

Grams give a useful measurement for a small, light item.

### q04

Check a second support piece. The support piece measures 15 cm. Record its length in millimetres for the support plan.

**Answer: 150 mm**

15 × 10 = 150. The length is 150 mm; the object has not changed size.

### q05

Inspect the test container. The tank contains 1/2 of its capacity. Blaze adds another 1/4 of a whole tank. What fraction is filled now?

**Answer: 3/4**

1/2 = 2/4. Then 2/4 + 1/4 = 3/4 of the whole tank.

### q06

Verify a fresh length reading. The support piece measures 18 cm. Record its length in millimetres for the support plan.

**Answer: 180 mm**

18 × 10 = 180. The length is 180 mm; the object has not changed size.

### q07

Choose a useful measuring unit. Which unit is most useful for measuring a small dose of cleaning fluid?

**Answer: millilitres**

Millilitres give useful precision for a small volume of fluid.

### q08

Prepare the removable frame. The support needs 25 clips. Each sealed pack holds 6. What is the smallest number of whole packs to bring?

**Answer: 5**

25 ÷ 6 = 4 remainder 1. 4 packs are not enough, so bring 5 whole packs.

### q09

Check spare cord for the survey. The measuring cord is 2.2 m long. The frame uses 0.75 m. How much remains?

**Answer: 1.45 m**

2.2 − 0.75 = 1.45. There are 1.45 m left for the next check.

### q10

Vane’s note says 60 cm. Complete the entrance survey. The support piece measures 21 cm. Record its length in millimetres for the support plan.

**Answer: 210 mm**

21 × 10 = 210. The length is 210 mm; the object has not changed size. Vane’s claim of 60 cm does not match the original measurement.

## Compulsory speed practice

- Chapter 1: 3 × 2 = ? Answer: 6 (AC9M5A01)
- Chapter 2: 250 ÷ 5 = ? Answer: 50 (AC9M5A01)
- Chapter 3: 7 × 8 = ? Answer: 56 (AC9M5A01)
- Chapter 4: 27 ÷ 9 = ? Answer: 3 (AC9M5A01)
- Chapter 5: 3 × 60 = ? Answer: 180 (AC9M5A01)

## Source

[QCAA Year 5 Australian Curriculum v9 alignment](https://www.qcaa.qld.edu.au/downloads/aciqv9/mathematics/curriculum/ac9_maths_yr5_as_cd_alignment.pdf), checked 19 September 2026.