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Quantifying number (Years 7 and 8)
On this page there are links to papers on four interconnected concepts of number:
- place value and rounding
- properties of number
- ordering and comparing
- simplifying and manipulating expressions, equations and formulae.
Each provides details of the knowledge students should have and some of the misconceptions they may hold. Examples illustrate what these misconceptions may look like and how to address them. The papers will support teachers in developing pedagogical and content knowledge.
Additional details |
|
| Year level(s) | Year 6, Year 7, Year 8, Year 9, Year 10 |
|---|---|
| Audience | Teacher, School Leader |
| Purpose | Content knowledge |
| Format | Web page |
| Keywords | number system, content knowledge, place value, expressions, ordering, estimation, rounding |
Copyright details |
|
| Organisation | NCETM |
| Copyright | © Crown Copyright. Free-for-education material. |
Related resources
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Negative numbers, index laws and algebra
An explanation of how to use negative numbers and the index laws with algebra.
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Mastering mathematics: The challenge of generalising and proof
An article on the different types of mathematical proof.
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Straight line graphs inquiry
A lesson sequence that involves students understanding the process of plotting linear relationships on the Cartesian plane.
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Solving equations inquiry
An exploration of linear equations that involves inductive and dedutive reasoning.
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Recurring decimals inquiry
Recognising recurring decimals and choosing their appropriate representations.
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Rectangle ratios inquiry 1
Establish formulas for area of rectangles and use these in problem-solving. Recognising and solving simple ratios.
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Pyramid inquiry
Using rules to determine the area, perimeter and height of pyramids, while also becoming aware of the features of pyramids.
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Pyramid addition inquiry
Finding the sum of integers.
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