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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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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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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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Yuendumu leaf games: representing stories

In this second of three lessons, students are provided with the opportunity to play with their leaf families, and consider the many possibilities. They represent their leaf stories using pictures, numerals and symbols.

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Number Walk Rich Task - Calculate

This downloadable lesson resource introduces the concept of ‘Number Walks’: taking a stroll with the class or group around the school or the local neighbourhood. Guided by the teacher, students note down anything they see that relates back to their understanding of the topic and then conduct a plenary session back in the ...

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Making Shapes (Foundation lesson) - Calculate

The focus of this activity is to encourage students to check their shape to ensure/prove that it is a hexagon. Students need to develop an understanding that good mathematicians find solutions to problems, check to see if their solution is correct and explain their thinking.

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Addition Foundation - Calculate

The focus of this activity is to discover if students can represent numbers, without the need to count from 1. If students ‘trust the count’ from here they will be able to use strategies to combine collections. If students do not ‘trust the count’ they may be able to combine two collections by counting by ones, but this ...

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Bead Strings - Calculate

Bead strings are a great tool to make with children to model numbers in a variety of ways.

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Number: Taking handfuls

This sequence of 6 tasks explores relationships between numbers 1 to 20 through subitising, comparison, and using 5 and 10 as benchmarks. Students organise collections and use subitisable patterns to help count the total in their collection. Students also compare their collection with a friend to see who has more and who ...

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8A01A Algebra - Ochre Education

This unit of work focuses on algebra. Students simplify algebraic expressions involving adding, subtracting, multiplying, and dividing simple algebraic terms up to squares and cubes of algebraic factors that do not require use of exponent laws (such as multiplying and dividing coefficients or writing chains of or fractions ...

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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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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 (π), the 'Golden Ratio' and the natural logarithm 'e', and explore where irrational numbers have applications in the real world

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Work sample Foundation Year Mathematics: Sorting shapes and objects

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Foundation Year 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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Money Foundation - Calculate

The focus of this activity is to discover what students know about coins and money. Some students will be familiar with coins and will have no trouble sharing their knowledge. Other students will have had limited exposure to money and what it looks like and how it is used.

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On, Over, Under, Beside - Calculate

This simple game helps students develop their understanding of positional language.

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Bunny Ears - Calculate

This quick game encourages students to use their fingers to model numbers in different ways.

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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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8M02A Ratio and rates - Ochre Education

This unit of work focuses on rates and ratio. Students define, recognise, represent, and find equivalent, simplified, and unit ratios and rates; convert between rate units; determine and use the multipliers between parts of the same ratio or rate and across equivalent ratios and rates.

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Linear Relationships (and how Maths can help you choose a great car) - Calculate

The activity has students collecting their own information from a well-known Australia car buying website and using this to find an estimated relationship between the ‘asking price’ for a used car and the distance it has traveled in kilometres.