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Work sample Year 8 Mathematics: Random selection

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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8M01A Time and duration - Ochre Education

This unit of work focuses on time and duration. Students define time zones and determine the corresponding time in different time zones in 12- and 24-hour time using GMT and UTC; determine departure and arrival times in both departure and arrival time zones given the travel duration; determine the travel duration given ...

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Mrs Sim's Dollars and Sense - Calculate

This alternate assessment task focuses on calculating gross and net wages before and after tax; operating and solving problems using simple and compound interest; and making valid comparisons between total accumulated costs and the initial (principal) amounts of money borrowed or invested.

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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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Integers, Indices and Scientific Notation - Calculate

In this unit let’s apply index laws to mathematical expressions with integer indices! We’ll learn to express large and small numbers using scientific notation, enter and read scientific notation on a calculator and use index laws to make checks for number accuracy.

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The Mathematics of Projectiles - Calculate

This activity provides a practical introduction to the motion of projectiles with a focus on angles. It is designed as a lead in to parabolic and quadratic functions.

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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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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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Voronoi Diagrams - Calculate

This unit of work explores coordinate geometry in the context of Voronoi diagrams. Students use linear coordinate geometry to construct Voronoi diagrams by finding the gradient of a line segment, then finding the midpoint, a perpendicular line and finally the perpendicular bisector.

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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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Factorising Quadratics and Solving - Calculate

This activity explores the properties of the family of functions and their graphs known as parabolas. The unit includes an AMSI Interactive online module, a range of other AMSI Schools and external links and video tutorials and some extension or enrichment ideas to take their understanding further. A short quiz at the end ...