# GM4-2: Convert between metric units, using whole numbers and commonly used decimals.

Elaboration on this Achievement Objective

This means students will apply their knowledge of decimal place value to convert between units for the same attribute, for example between units for weight. They should know the meaning of prefixes used in the metric system that act as “scalars” on base units, for example “kilo” means one thousand, “centi” means one hundredth. Conversions are restricted to convertinhg between whole number or decimal measures involving tenths, for example 0.6ha = 6000m^{2} or 675mm = 67.5cm.

Teaching resources for this Achievement Objective

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

The purpose of this activity is to engage students in solving a problem using measurements that are not in a compatible format.

Rich learning 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.

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

work with rates and make comparison

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.

draw scale diagrams for length and area problems

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

Students will:estimate the energy change of a systemcalculate the amount of energy converted by different activitiesuse rates to determine inputs and/or outputs.Students should discover that:energy transfer is proportional to work (the more force x distance, the more energy)different forms of energy...

Figure It Out activities

Number and Algebra

Level Four

This unit is designed to engage your class for at least the first week of the school year. It provides students an opportunity to work collaboratively and independently on challenging mathematical tasks. It also provides you, their teacher, with opportunities for you to learn about their current...

Find whether a given whole number is prime or non-prime (composite) and whether the number is a multiple of three. Use exponents, square roots, factorials and place value to write expressions for whole numbers. Represent category data using bar charts and interpret those charts. Calculate common...

Units of Work

Number and Algebra

Level Four

This is a level 4 measurement activity from the Figure it Out series. It also has a Level 3 Transformation achievement objective. A PDF of the student activity is included.

explore enlargements

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

The purpose of this activity is to engage students in relating two dimensional projections to a three dimensional perspective in the context of a scale and unit conversion measurement problem.

Rich learning activities

Geometry and Measurement

Level Four

The purpose of this unit is to engage the student in applying their knowledge and skills of measurement and algebra within the science learning area; to investigate a physical system.

Students develop their skills and knowledge on the mathematics learning progressions measurement sense and using symbols and expressions to think mathematically, in the context of time and motion in sports.

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.

calculate lengths involving millimetresapply circle formulae

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.

convert between litres and cubic centimetres

Figure It Out activities

Geometry and Measurement

Level Four

This unit explores the volume (in cubic units) of skyscraper constructions. We investigate the most efficient way to pack cuboids in a confined space, and the relationship between millilitres and cubic centimetres

Use a formula to calculate the volume of cuboids by measuring the length of each of the three dimensions. Investigate the relationship between millilitres and cubic centimetres.

Units of Work

Geometry and Measurement

Level Four

This unit requires students to enlarge and reduce the size of two-dimensional mathematical shapes by a scale factor. As students work in co-operative teams of four to complete a puzzle, they use a ruler, compass and protractor, and develop the ability to read and work through instructions to a...

follow instructions, in diagram form, to construct two-dimensional mathematical shapes, e.g. triangles, quadrilaterals, pentagons and hexagons enlarge and reduce two-dimensional mathematical shapes by a given scale factor identify invariant properties when enlarging and reducing two-dimensional...

Units of Work

Geometry and Measurement

Level Four

The purpose of this activity is to engage students in solving a problem using measurement and arithmetic techniques.

Rich learning activities

Number and Algebra

Level Four

This is a level 4 measurement and 5 number activity from the Figure It Out theme series.

write large numbers in standard form convert between km3 and m3

Figure It Out activities

Number and Algebra

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

convert between time units solve problems involving time, distance, and stroke rate calculate speed

Figure It Out activities

Geometry and Measurement

Level Four

solve problems involving mass and volume

Figure It Out activities

Geometry and Measurement

Level Four