Mathematics / Year 9 / Measurement and Geometry / Using units of measurement

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Investigate very small and very large time scales and intervals (ACMMG219)

Elaborations
  • investigating the usefulness of scientific notation in representing very large and very small numbers
General capabilities
  • Numeracy Numeracy
ScOT terms

Time units,  Timelines,  Scale (Proportions),  Scientific notation

Moving Image

Graham's number

If you were asked what the biggest number you can think of is, what would you say? Infinity? Well, what about the biggest finite number you can think of? Mathematician Ron Graham came across such a gigantic number in his research that, to capture its massive size, he and his colleagues needed to come up with new methods ...

Interactive resource

Exploring powers of 10

Examine a table of numbers expressed using base 10 exponents. Look at their equivalents expressed in other numeric formats such as expanded values and fractional exponents. Arrange the numbers within each group in descending order of magnitude. Use a scalable viewer to examine a scene within a valley in Canada. Look at ...

Teacher resource

Very large and very small numbers

This is a website designed for both teachers and students, which addresses very large and very small numbers from the Australian Curriculum for year 9 students. It contains material on the vocabulary and notation for dealing with very large and very small numbers using scientific notation. There are pages for both teachers ...

Interactive resource

Exploring exponents and scientific notation

Examine a group of eight numbers expressed using scientific notation. Sort them into positive and negative numbers. Group them according to whether they are greater or less than -1, 0 and 1. Arrange the numbers within each group in ascending order.

Teacher resource

Telling the time - unit of work

This unit introduces the formal measurement of time using the terms 'o'clock', 'half past', 'quarter past' and 'quarter to' and their representation on an analogue clock. It is specifically for students with autism spectrum disorders (ASD), so the learning experiences offered are structured, methodical and sequential and ...

Interactive resource

Exploring ratios and proportions

Explore ratios by comparing the dimensions of two rectangles. Choose a scale to enlarge the smaller shape and identify whether its sides are proportional to those of the larger rectangle. For example, a rectangle with sides in the ratio 4:5 has an equivalent ratio to a rectangle with sides in the ratio 12:15. Watch a video ...

Interactive resource

Measures: scaling up

Compare the areas of squares, rectangles and triangles before and after being scaled up (enlarged). Notice that 'similar shapes' in the mathematical sense have the same shape but different areas. Explore the relationship between side-length enlargement and area enlargement when scaling up shapes. This learning object is ...

Interactive resource

EagleCat: scale it

Explore changes in area when a shape is acted on by a scale factor. Examine changes in volume when an object is acted on by a scale factor. Analyse the changes using whole numbers.

Interactive resource

Measures: scaling surface area

Compare the surface area of cubes and rectangular prisms before and after being scaled up (enlarged) or scaled down (reduced). Notice that 'similar shapes' in the mathematical sense have the same shape but different surface areas. Explore the relationship between side length and surface area when scaling solids. This learning ...

Interactive resource

Measures: similar shapes

Compare the sizes and angles of a range of triangles, squares and rectangles. Notice that 'similar shapes' in the mathematical sense have the same shape and possibly different sizes. Corresponding sides are in proportion, and corresponding angles are equal. Identify shapes that are similar and create shapes similar to given ...

Interactive resource

Measures: volumes

Compare the volumes of a range of rectangular prisms when scaling up (enlarging) side lengths by different ratios. Notice that the rectangular prisms are not similar in the mathematical sense, but it is possible to predict the effect on the volume produced by the scaling of the sides. Identify and describe the relationship ...

Interactive resource

Measures: scaling up solids

Compare the volumes of cubes and rectangular prisms before and after being scaled up (enlarged). Notice that 'similar solids' in the mathematical sense have the same shape but different volumes. Explore the relationship between side length and volume when scaling up solids. This learning object is the fifth in a series ...

Interactive resource

Measures: scaling down

Compare the areas of squares, rectangles and triangles before and after being scaled down (reduced). Notice that 'similar shapes' in the mathematical sense have the same shape but different areas. Explore the relationship between side-length reduction and area reduction when scaling down shapes. This learning object is ...

Teacher resource

Scientific notation

This is a website designed for both teachers and students that addresses scientific notation from the Australian Curriculum for year 9 students. It contains material on scientific notation using index laws and multiplication, division and indices. There are pages for both teachers and students. The student pages contain ...

Interactive resource

Measures: similar solids

Compare the sizes and angles of a range of cubes and rectangular prisms. Notice that 'similar solids' in the mathematical sense have the same shape and possibly different sizes. Corresponding sides are in proportion, and corresponding angles are equal. Identify solids that are similar, and create solids similar to given ...

Interactive resource

Measures: scaling down solids

Compare the volumes of cubes and rectangular prisms before and after being scaled down (reduced). Notice that 'similar solids' in the mathematical sense have the same shape but different volumes. Explore the relationship between side length and volume when scaling down solids. This learning object is the sixth in a series ...

Interactive resource

Direct a taxi: Jakarta, Indonesia

Join a taxi service as a controller. Explore a map to get to know landmarks in Central Jakarta. Check the traffic conditions. Give directions to a driver as they pick up and drop off passengers. Help the driver to avoid delays due to heavy traffic and a traffic accident. Find the most direct route to the destination using ...

Teacher resource

reSolve: Pythagoras' Theorem - Phone finding

This lesson challenges students to apply Pythagoras' Theorem to explore a practical real-world problem. Students explore technology reliant on mathematical concepts. The lesson is outlined in detail including curriculum links, vocabulary, materials needed, sample answers, discussion points and student resources such as ...

Teacher resource

TIMES Module 22: Measurement and Geometry: scale drawings and similarity - teacher guide

This is a 41-page guide for teachers. It contains an introduction to scale drawings and similarity, and in particular the tests for triangles to be considered similar. Applications of similarity are included throughout the module.

Teacher resource

TIMES Module 31: Number and Algebra: indices and logarithms - teacher guide

This is a 26-page guide for teachers. It extends the study of indices to rational indices and introduces logarithms.