F-10 Curriculum (V8)
F-10 Curriculum (V9)
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In this lesson, students explore standardised measuring systems. They encounter the challenge of a shopkeeper who must determine how to weigh different quantities of spices most efficiently. Working in a financial context, students model this scenario using fractions, percentages and ratios, and communicate their solution ...
In this lesson we use the context of an ancient bazaar to investigate measurement systems. Students select a name and base number for their system of measurement, using weights made from clay or similar material. They divide their clay into possible unit fractions to generate their set of weights. They assign a fictional ...
Students develop an understanding of the proportion and relationships between fractions. They represent fractions using linear models and symbols and form a generalisation about fractions equivalent to one whole.
This activity challenges students to unpack a rule and see if it is being used correctly. Often students will just learn a rule and blindly use it. This task asks students to stop and think and then make corrections to ensure the rule works in all cases (generalise).
This comprehensive resource describes the progression of ideas that cover addition and subtraction of integers; multiplication and division of integers; the four operations with common and decimal fractions; and operation applications with percent, rate and ratio.
In this lesson, students play a simple lottery game, analyse their odds of winning and how this influences the decisions they made. Students determine the differences between experimental and mathematical probability, conduct a simulation modelling an event and critically evaluate the odds of winning the lottery. The lesson ...
In this lesson, students calculate the average expected value of losses on a roulette wheel over time, and use these values to analyse the cost of gambling on these games. They also study the flaws inherent in betting systems to determine whether these systems are weighted in the favour of game operators making a profit. ...
The content of this book is organised into topics including understanding whole and decimal numbers, and understanding fractional numbers.
This activity allows students to explore the concept of fractions with a focus on quarters. Adaptions can be made by changing the fraction. We want students to discover that the same fraction can look different but still have the same quantity/ amount.
In this task, students take the role of the owner of a cake wholesaler, baking and supplying cakes to local café businesses. As café owners order their weekly cakes by the slice, students are required to add unit fractions together to calculate total cake orders. They then solve problems associated with subtracting fractional ...
This lesson explores the difference between perfectly predictable events (like the roll of a die) and less certain events (such as sports). Students investigate mathematically how sports bookmakers create odds to guarantee themselves a profit and pay gamblers less for a win than they deserve. The lesson is outlined in ...
This comprehensive resource describes the progression of number-related ideas showing the relationship to other curriculum strands. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in number including teaching and cultural implications.
This lesson explores how poker machines work and what is meant by the term Return to Player (RTP) percentage. Students run simulations to determine how small betting amounts can lead to a large cumulative loss over time and examine how reinvesting profits or wins from playing the poker machine back into the machine has ...
This interactive resource consists of a series of questions about converting decimals into percentages. The viewer is required to convert a decimal number into a percentage and enter the answer in a window on the screen. The answer can be checked and, if correct, the viewer moves to the next question. Help is available ...
This is a website designed for both teachers and students that addresses components of the arithmetic of fractions. It is particularly relevant for comparison and addition and subtraction of fractions with related denominators. It also contains material on finding a fraction of a quantity where the result is a whole number. ...
This is a website designed for both teachers and students that addresses equivalent fractions from the Australian Curriculum for year 7 students. It contains material on equivalent fractions, and explains how equivalence can be demonstrated on the number line. There are pages for both teachers and students. The student ...
This is a website designed for both teachers and students that addresses the connections between fractions, decimals and percentages from the Australian Curriculum for year 6 students. It contains material on the relationship between fractions, decimals and percentages and helps students understand that although there are ...
This is a website designed for both teachers and students that addresses the expression of one quantity as a fraction of a second quantity from the Australian Curriculum for year 7 students. It contains material on using the unitary method to solve fraction problems. There are pages for both teachers and students. The student ...
An interactive tool that can help students explore a number line, including points representing integers, fractions and decimals
This is a website designed for both teachers and students in year 5, and addresses components of the probability topic. It is particularly relevant for discussing chance experiments where the probability of events is equally likely and for describing those events using fractions. There are pages for both teachers and students. ...