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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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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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Recurring decimals inquiry
Recognising recurring decimals and choosing their appropriate representations.
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Pyramid addition inquiry
Finding the sum of integers.
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Inequalities inquiry
Extend and apply the laws and properties of arithmetic to algebraic terms and expression.
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Division inquiry 2
Select and apply mental and written strategies to solve problems involving division and multiplication with whole number.
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Base and index inquiry
Investigate and use square roots of perfect square numbers. Using index notation with numbers to establish index laws with positive integral indices and the zero index.
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Adding fractions inquiry
Solving problems involving addition and subtraction of fractions, including those with unrelated denominators.
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Percentages inquiry
Find percentages of quantities and express one quantity as a percentage of another.
Resource details