# GM4-1: Use appropriate scales, devices, and metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time.

Elaboration on this Achievement Objective

This means students will work with the commonly used units of the metric system and measurement devices for:

- Length- kilometre, metre, centimetre, millimetre, using rulers and tape measures
- Area- square kilometre, hectare, square metre, square centimetre
- Volume/Capacity- Cubic kilometre, cubic metre, litre (cubic decimetre), cubic centimetre using jugs, measurement cylinders
- Weight- tonne, kilogram, gram, using scales
- Temperature- degrees Celsius using thermometers

They should also be able to work with standard units for angle and time, degrees, hours, minutes, seconds. In carrying out measurement tasks students should be able to estimate approximate measurements, use units and devices that are appropriate to the task, for example measuring a cup of water in cubic centimetres, read scales with accuracy, for example a ruler to the nearest millimetre or a protractor to the nearest degree, and use symbols to record their results, for example 45mg (45 milligrams) or 6km ^{2} (6 square kilometres).

Teaching resources for this Achievement Objective

This unit supports students to understand angles as a turn relationship between two rays, and apply their understanding to use angle in sport and design settings.

Identify angles in the environment. Measure an angle using a protractor. Use angles to travel at a bearing. Anticipate the path of a ball as it bounces off a wall. Use rotational symmetry to create a logo.

Geometry and Measurement

Level Four

The purpose of this unit is to have students identify a need, plan a response, seek feedback, design and build a ‘product’, applying number, measurement and technology knowledge and skills.

Identify a utility need or opportunity within the school and plan a response Create a design incorporating key attributes identified. Investigate quality and comparative costs of possible construction materials. Cost ‘fit for purpose’ construction materials and prepare a budget. Draw plans with...

Units of Work

Number and Algebra

Level Four

The purpose of this unit is for students apply and refine their measurement skills and to develop an understanding of enlargement and reduction, through making scale models to be used in a short animated film.

Understand and describe proportion using the language of mathematics. Make accurate metric length measurements. Understand the principles of scale. Understand that the value of the scale factor of a reduction is less than 1 and for an enlargement is greater than 1. Understand that the scale factor...

Units of Work

Number and Algebra

Level Four

In this unit we use measurements of our classmates to find the average (means and modes) of our features. We use our findings to create a 3-dimensional "class head".

plan an investigation discuss features of data displays using mean and mode state implications from investigation

Units of Work

Geometry and Measurement

Level Four

This is a level 4 measurement strand activity from the Figure It Out series. A PDF of the student activity is included.

solve problems with mass and volume

Figure It Out activities

Geometry and Measurement

Level Four

This is a level 3-4 activity from the Figure It Out series. A PDF of the student activity is included.

Figure It Out activities

Number and Algebra

Level Four

This unit seeks to connect learning outcomes across all five content strands, number, geometry, statistics, and measurement. However the context lends itself strongly to use of measurement and statistics. In the unit students investigate questions that involve them in experiment design, data...

construct nets measure masses, capacities, lengths, and temperatures using scales and devices. conduct investigations and present results. carry out experiments and systematically record the results.

Units of Work

Geometry and Measurement

Level Four

In this unit, students will identify the properties of triangles, construct both equilateral and irregular triangles using either ruler and protractor or ruler and compass, and make nets.

construct triangles with specified dimensions using two different techniques design and construct nets for three-dimensional objects name basic three-dimensional objects, especially those made with equilateral triangles

Units of Work

Geometry and Measurement

Level Four

This is a level 4 measurement activity from the Figure it Out series. A PDF of the student activity is included.

sovle problems involving measurement units

Figure It Out activities

Geometry and Measurement

Level Four

The purpose of this unit is to engage the student in applying their knowledge and skills of measurement to solve problems involving food technology.

Students develop their skills and knowledge on the mathematics learning progression, measurement sense, in a food technology context.

Number and Algebra

Level Four

This is a level 4 and 5 measurement strand activity from the Figure It Out series. A PDF of the student activity is included.

find approximate value of pi from measurement

Figure It Out activities

Geometry and Measurement

Level Four

This is a level 4 measurement and statistics activity from the Figure It Out theme series. A PDF of the student activity is included.

interpret a tide chart measure in millimetre with a ruler create a graph to show data

Figure It Out activities

Geometry and Measurement

Level Four

This is a level (3+ to 4+) mathematics in science contexts activity from the Figure It Out series. A PDF of the student activity is included.

Students will: decide on appropriate ways to measure the amount of water lost in Activity Two calculate percentages of large numbers and percentages of percentages. Students should discover that: a small percentage of a large number can itself be a large number a familiar context can help give...

Figure It Out activities

Number and Algebra

Level Three

In this unit we use thermometers to investigate questions about temperature. We explore questions relating to cooling patterns, the effect of location on temperature, and the results of mixing of water with different temperatures

use thermometers to measure temperature in degrees Celsius investigate factors that influence temperatures

Units of Work

Geometry and Measurement

Level Four

In this activity students will explore activities relating to time.

finding time before and after a given time writing times in different ways working with 12 and 24 hour clocks find fractions and decimals of an hour solve problems involving time zones

Secondary activities

Geometry and Measurement

Level Four

This is a level 4 activity from the Figure It Out series. A PDF of the student activity is included.

Figure It Out activities

Geometry and Measurement

Level Four

This is a level 4 measurement activity from the Figure it Out series. A PDF of the student activity is included.

measure lengths measure masses

Figure It Out activities

Geometry and Measurement

Level Four

This is a level 4-5 activity from the Figure It Out series. A PDF of the student activity is included.

Figure It Out activities

Geometry and Measurement

Level Four

This is a level 4 measurement activity from the Figure It Out theme series.

express fractions of a circle in degrees

Figure It Out activities

Geometry and Measurement

Level Four

This is a level (3+ to 4+) mathematics in science contexts activity from the Figure It Out series. A PDF of the student activity is included.

Students will: measure and record data on temperature change convert between temperature change and food energy units calculate the total energy needs and intake for sample menus, using food energy unit values investigate the relative proportions of energy provided by different foods in their diet....

Figure It Out activities

Geometry and Measurement

Level Four

This is a level 4 measurement activity from the Figure it Out series. A PDF of the student activity is included.

investigate capacity of containers

Figure It Out activities

Geometry and Measurement

Level Four

This is a level 3 and 4 measurement activity from the Figure it Out series. A PDF of the student activity is included.

find volumes of cuboids interpret charts solve problems involving time and distances

Figure It Out activities

Geometry and Measurement

Level Three

This is a level 4 measurement strand activity from the Figure It Out series. It also has an achievement objective from the Level 5 Number strategies and knowledge substrand. A PDF of the student activity is included.

solve problems involving time solve problems inovle time rates

Figure It Out activities

Geometry and Measurement

Level Four

This is a level 4 measurement strand activity from the Figure It Out series. A PDF of the student activity is included.

measure temperature changes

Figure It Out activities

Geometry and Measurement

Level Four

This unit is designed to provide students with a measurement context in which to use number operations. In calculating speed from distance and time, they will apply number strategies as they convert between units.

calculate speed from measured distance and time solve multiplication problems using doubling and halving strategies use known multiplication facts to solve multiplication problems

Units of Work

Geometry and Measurement

Level Four