Mathematics / Year 7 / Number and Algebra / Real numbers

• TLF-IDL6546

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 ...

• TLF-IDM012416

This is a video resource, with audio commentary, that discusses what a ratio is, the different ways a ratio can be expressed and typical examples of questions about ratios. The resource poses various problems and, through handwritten solutions to these problems, demonstrates how ratios can be calculated from raw data and ...

• TLF-IDM020742

This resource is a web page containing an interactive task to explore ratios and proportions. Compare different mixtures of lemonade and develop a strategy for deciding which is stronger each time. The task requires students to apply their understanding of ratio and proportions. A 'Getting started' page, 'Solution' and ...

• TLF-IDL1992

Examine the relationships between capacities of containers of different shapes and sizes. Squirt liquids between three containers to establish the proportional relationship. Work out the third 'unlinked' relationship from two known relationships. Express relationships using mathematical notation such as 2a=6b=3c. This learning ...

• TLF-IDM011497

This is a short video presentation, with audio commentary, of an example of simplifying the relationship between two different quantities expressed as a rate. In simplifying the rate, the presenter discusses the prime factorisation of numbers and presents a factor tree diagram as a method for finding the greatest common ...

• TLF-IDS5666

This is a teacher resource that is part of a wider series; it provides a strategies-based approach to mental computation of problems involving ratios and percentages for primary level. It provides 13 classroom activities that enable students to develop mental-computation skills in sequence by building conceptual understanding ...

• TLF-IDM017685

Ever noticed that plants are examples of Fibonacci numbers? Watch Vi Hart draw examples of flower petals and leaf growth that follow this pattern. See how plants seem to use Phi (.), the golden ratio. Find out how to make your own 'angle-a-tron' to create interesting petal designs. This is the second in a series of two.

• TLF-IDM008994

This activity involves making a cake using a recipe in which the quantities of the ingredients required are measured using a variety of imperial units. To complete the recipe, students need to convert the imperial units to metric units in order to be able to use their metric measuring instruments. The activity serves to ...

• TLF-IDM007102

The dataset provides statistics about the estimated resident population, median age and sex ratio by countries of birth for the latest year of available data. It is periodically updated by the Australian Bureau of Statistics (ABS). The dataset is included in the list of related datasets on the page in MS Excel format.

• TLF-IDM025250

Think credit cards are basically free money? Gen Fricker will make you think again. Learn how interest rates and fees affect the money you borrow, and why they may be more expensive in the long run. Oh dear! Then test yourself with ASIC MoneySmart's "Things to think about" classroom exercises.  

• TLF-IDM019377

This teaching resource demonstrates ways in which real Australian Census data (in this case data from the 2011 Census placed into the ConCensus interactive) can be interpreted and analysed. Population data is presented both in numbers and as a percentage. The representations include data visualisations, graphs and tables. ...

• TLF-IDM021132

Is it more fuel efficient to drive or fly between two places? Watch this clip and learn how to calculate the answer. What are the various factors that need to be taken into account? This video was made using the American measurement of gallons per hour, American firgures for the average number of passengers in a car and ...