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<html><h1>Number</h1></html>

**Structure and Calculation**
==== Types of Number ====
N1: order positive and negative integers, decimals and fractions; use the symbols =, ≠, <, >, ≤, ≥

{{url>https://www.youtube.com/embed/JXgduTLVjdg 100%,500 noscroll noborder fullscreen|YouTube video}}


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==== Calculations ====
N2: apply the four operations, including formal written methods, to integers, decimals and simple fractions (proper and improper), and mixed numbers – all both positive and negative; understand and use place value (e.g. when working with very large or very small numbers, and when calculating with decimals)


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==== Bidmas and Bodmas ====
**N3** recognise and use relationships between operations, including inverse operations (e.g. cancellation to simplify calculations and expressions); use conventional notation for priority of operations, including brackets, powers, roots and reciprocals


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==== Multiples, Factors, Prime Factors ====
**N4** use the concepts and vocabulary of prime numbers, factors (divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation theorem

{{url>https://www.youtube.com/embed/veILCLvH198 100%,500 noscroll noborder fullscreen|YouTube video}}



{{url>https://wiki.owlwyze.org/files/maths/gcse/number/01.%20Mutiples,%20Factors,%20Prime%20Factors.pdf 100%,1200 noscroll noborder fullscreen|01. Mutiples, Factors, Prime Factors.pdf}}

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=== LCM and HCF ===

{{url>https://wiki.owlwyze.org/files/maths/gcse/number/02.%20LCM%20and%20HCF.pdf 100%,1200 noscroll noborder fullscreen|02. LCM and HCF.pdf}}

=== Listing Strategies ===
**N5** apply systematic listing strategies, including use of the product rule for counting (i.e. if there are m ways of doing one task and for each of these, there are n ways of doing another task, then the total number of ways the two tasks can be done is m × n ways)

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=== Roots ===
**N6** use positive integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5; estimate powers and roots of any given positive number

**N7** calculate with roots, and with integer and fractional indices

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=== Surds ===
**N8** calculate exactly with fractions, surds and multiples of π; simplify surd expressions involving squares (e.g. √12 = √(4 × 3) = √4 × √3 = 2√3) and rationalise denominators

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=== Standard Form ===
**N9** calculate with and interpret standard form A × 10n, where 1 ≤ A < 10 and n is an integer

{{url>https://wiki.owlwyze.org/files/maths/gcse/number/11.%20Standard%20Form%201.pdf 100%,1200 noscroll noborder fullscreen|11. Standard Form 1.pdf}}

{{url>https://wiki.owlwyze.org/files/maths/gcse/number/11.%20Standard%20Form%202.pdf 100%,1200 noscroll noborder fullscreen|11. Standard Form 2.pdf}}

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===== Fractions, Decimals and Percentages =====

**N10** work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7 2 or 0.375 or 3 8 ); change recurring decimals into their corresponding fractions and vice versa

**N11** identify and work with fractions in ratio problems

**N12** interpret fractions and percentages as operators


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**Measures and Accuracy**

**N13** 
use standard units of mass, length, time, money and other measures (including standard compound measures) using decimal quantities where appropriate

**N14** 
estimate answers; check calculations using approximation and estimation, including answers obtained using technology

**N15** 
round numbers and measures to an appropriate degree of accuracy (e.g. to a specified number of decimal places or significant figures); use inequality notation to specify simple error intervals due to truncation or rounding

{{url>https://wiki.owlwyze.org/files/maths/gcse/number/09.%20Rounding%20Numbers%201.pdf 100%,1200 noscroll noborder fullscreen|09. Rounding Numbers 1.pdf}}

{{url>https://wiki.owlwyze.org/files/maths/gcse/number/09.%20Rounding%20Numbers%202.pdf 100%,1200 noscroll noborder fullscreen|09. Rounding Numbers 2.pdf}}

=== Bounds ===
**N16** 
apply and interpret limits of accuracy, including upper and lower bounds

{{url>https://wiki.owlwyze.org/files/maths/gcse/number/10.%20Bounds.pdf 100%,1200 noscroll noborder fullscreen|10. Bounds.pdf}}


{{url>https://wiki.owlwyze.org/files/maths/gcse/number/03.%20Fractions%201.pdf 100%,1200 noscroll noborder fullscreen|03. Fractions 1.pdf}}

{{url>https://wiki.owlwyze.org/files/maths/gcse/number/03.%20Fractions%202.pdf 100%,1200 noscroll noborder fullscreen|03. Fractions 2.pdf}}

{{url>https://wiki.owlwyze.org/files/maths/gcse/number/04.%20Fractions,%20Decimals%20and%20Percentages.pdf 100%,1200 noscroll noborder fullscreen|04. Fractions, Decimals and Percentages.pdf}}

{{url>https://wiki.owlwyze.org/files/maths/gcse/number/05.%20Fractions%20and%20Recurring%20Decimals%201.pdf 100%,1200 noscroll noborder fullscreen|05. Fractions and Recurring Decimals 1.pdf}}

{{url>https://wiki.owlwyze.org/files/maths/gcse/number/05.%20Fractions%20and%20Recurring%20Decimals%202.pdf 100%,1200 noscroll noborder fullscreen|05. Fractions and Recurring Decimals 2.pdf}}

{{url>https://wiki.owlwyze.org/files/maths/gcse/number/06.%20Percentages%201.pdf 100%,1200 noscroll noborder fullscreen|06. Percentages 1.pdf}}

{{url>https://wiki.owlwyze.org/files/maths/gcse/number/06.%20Percentages%202.pdf 100%,1200 noscroll noborder fullscreen|06. Percentages 2.pdf}}

{{url>https://wiki.owlwyze.org/files/maths/gcse/number/07.%20Compound%20Growth%20and%20Decay.pdf 100%,1200 noscroll noborder fullscreen|07. Compound Growth and Decay.pdf}}

{{url>https://wiki.owlwyze.org/files/maths/gcse/number/08.%20Ratios%202.pdf 100%,1200 noscroll noborder fullscreen|08. Ratios 2.pdf}}

{{url>https://wiki.owlwyze.org/files/maths/gcse/number/08.%20Ratios.pdf 100%,1200 noscroll noborder fullscreen|08. Ratios.pdf}}

===== Knowledge Organiser =====
{{https://wiki.owlwyze.org/files/maths/gcse/knowledge organisers/[Year 11] Foundation - Number 1 of 2.png}}

{{https://wiki.owlwyze.org/files/maths/gcse/knowledge organisers/[Year 11] Foundation - Number 2 of 2.png}}

{{https://wiki.owlwyze.org/files/maths/gcse/knowledge organisers/[Year 11] Higher - Number 1 of 1.png}}