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8N04A Irrational numbers - Ochre Education

This unit of work focuses on irrational numbers. Students define, recognise, and approximate real and irrational numbers, including π and square and cube roots of non-perfect square and cube numbers; add and subtract, multiply and divide, raise to positive integer powers and the 0th power, square root and cube root irrational ...

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Work sample Year 8 Mathematics: Linear Relationships in the real world

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 8 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Financial Mathematics: Simple Interest - Calculate

This unit introduces the calculation of simple interest, as a starter for learning about compound interest. Students learn about a range of ways in which interest generally is used and applied in the real world and then use the formula for calculating simple interest to solve borrowing, saving and investment problems.

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Irrational Numbers - Calculate

In this unit, let's investigate irrational numbers! We'll look at some examples of commonly used irrational numbers such as Pi (Ï€), the 'Golden Ratio' and the natural logarithm 'e', and explore where irrational numbers have applications in the real world

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Output of a Solar Cell

This activity invites students to measure the efficiency of solar cells as they convert sunlight to power. The activity includes a list of tools and materials required, assembly instructions, what to do and notice, an explanation for the underlying science of what students observe and suggestions for further activities.

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8N02A Rational numbers - Ochre Education

This unit of work focuses on rational numbers. Students define and write recurring non-terminating decimals using dot and vinculum notations; identify fractions that will have terminating or recurring non-terminating decimal expansions using the prime factorisation of the denominator in simplified form; convert between ...

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8A02A Equations - Ochre Education

This unit of work focuses on equations. Students solve linear equations involving integers and rational numbers as coefficients and solutions, the unknown on one or both sides of the equation, expanding brackets and simplifying expressions on one or both sides of the equation including verifying solutions; solve pure quadratic ...

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Santa needs a navigator - Calculate

This activity challenges students to find the best route for Santa to take around the world, taking timezones and travel time into consideration. Students mark places on a map, plan a route that is taken only at night and calculate the duration of the entire trip.

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8M03A Pythagoras' theorem - Ochre Education

This unit of work focuses on Pythagoras' theorem. Students define and identify the hypotenuse of a right-angled triangle as being the longest side and opposite the right angle and the perpendicular sides as being the shorter two sides and adjacent to the right angle; define Pythagoras' theorem in words and symbols; use ...

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8N01A Integers - Ochre Education

This unit of work focuses on integers. Students add and subtract integers; establish multiplication and division of integers and build to raising to positive integer powers, square roots and cube roots; evaluate expressions involving combinations of operations and the use of brackets, fraction bars, and vinculums and consideration ...

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8N03A Percentages - Ochre Education

This unit of work focuses on percentages. Students practice writing one number as a percentage of another, including in financial applications; finding a percentage of a number, and finding the original amount that a percentage was of, given the result, including in financial applications; establish and use multipliers ...

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Investigating Decimal Numbers - Calculate

In this unit let’s investigate terminating and recurring decimals. We’ll learn how to use the correct mathematical symbols for recurring (repeating) decimals, how to convert fractions into terminating or recurring decimals and how to interpret these numbers on a calculator.

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The Geometry and Algebra of Honeycomb - Calculate

This integrated unit of work explores the amazing structures of honeycomb by examining the properties of regular and irregular polygons and polyhedra. Students then move on to solve problems using geometric and algebraic reasoning.

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Percentages - Calculate

In this unit, let’s look at how percentages are used in everyday life to compare changes in things and measure rates of change.

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Catalyst: Nautical Robots

How might you find out how much and where the Earth's oceans are warming? Watch the report by Ruben Meerman and discover how more than 3000 'nautical robots', known as argo floats, have been placed in the oceans to collect data on variations in temperature, pressure and salinity.

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How does income tax work?

Gen Fricker makes income tax interesting! Learn about income tax - what it is, how it works and when you have to pay it. Easy-peasy! Then test yourself with ASIC Moneysmart's "Things to think about" classroom exercises.

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BTN: Calculating area using locust plagues

How many locusts in a plague? Find out just how big the threat of locusts can be and how farmers try to prevent the plagues from getting out of control. This clip provides context for a combination of area, area units and rate problems.

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MathXplosion, Ep 50: How to use a tetrahedron to solve the tree problem

How can you place four trees exactly the same distance apart from one other? By making a model! By using miniature trees to make a model of the problem, it becomes clear that a 2D solution is impossible. We learn how objects can help us visualise the problem situation, which in this case requires a 3D solution: a tetrahedron.

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What are pixels?

Meet Kevin Systrom and Piper Hanson as they explain how digital images work. What are pixels, those tiny dots of light, made from? How are colours created and represented? What does Kevin say about the way mathematical functions are used to create different image filters. What is the difference between image resolution ...

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ACMF: Effects of selective breeding

This resource is a web page providing information about an experiment on the growth rate of different chicken breeds carried out by students at James Ruse Agricultural High School in NSW, which shows the influence of selective breeding on chicken weight. It includes a side-by-side column graph comparing the weight of egg ...