Basic Number, factors and multiples (2 year teaching) (8300 - Higher - Number)

Topic:

Basic number, factors and multiples

Specification references (in recommended teaching order)

	Specification content	Specification notes
N1	Order positive and negative integers Use the symbols =, ≠, <, >, ≤, ≥	including use on a number line know the conventions of an open circle on a number line for a strict inequality and a closed circle for an included boundary
N2	Apply the four operations, including formal written methods, to integers – 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)	Including questions set in context Knowledge of terms used in household finance, for example profit, loss, cost price, selling price, debit, credit and balance, income tax, VAT and interest rate
N3	Recognise and use relationships between operations including inverse operations (e.g. cancellation to simplify calculations and expressions)
N14	Estimate answers Check calculations using approximation and estimation, including answers obtained using technology	including evaluation of results obtained
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	prime factor decomposition including product of prime factors written in index form
N5	Apply systematic listing strategies and the use of the product rule for counting	including using lists, tables and diagrams

The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

The expectation is that:

All students will develop confidence and competence with the content identified by standard type
All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.

Teaching resources

Teaching resources - see below

99+

Downloadable resource in format. 29/08/2014

Adding and Subtracting Positive and Negative Integers

A teacher guide which outlines four different models for adding and subtracting positive and negative integers.19/05/2015

Co-primes: Teacher Notes

Teacher notes which guide an investigation into co-prime numbers.19/05/2015

Arrange the Digits

Students must use the digits 1-9 to make 3 three-digit numbers which sum to a number as close as possible to 1500.19/05/2015

Calc - a - Hundred

Students work in pairs to carry out operations on calculators to produce a total as close as possible to 100.19/05/2015

Can you find a perfect number?

An introduction to the idea of a 'perfect' number, from which students must investigate to find other perfect numbers and consider other properties involving factors.19/05/2015

HCF and LCM

Activities involving HCF and LCM with demanding 2 or 3 digit numbers.19/05/2015

HCF, LCM, Product of Prime Factors tarsia

A tarsia card sorting activity which forms a hexagon. Questions involve prime factor decomposition, HCF and LCM. You will need to register for a TES account to access this resource, this is free of charge.19/05/2015

Inequalities

Choosing the correct inequality symbol to place between pairs of numbers. Some pairs include negative numbers. 19/05/2015

Metric Numbers

An overview of the prefixes used for very large and very small numbers, followed by 10 questions involving these prefixes.19/05/2015

Number Line

Positioning and ordering positive and negative integers on a number line.19/05/2015

Prime Factorization

Prime numbers interactive worksheet. An introduction to prime factorization, followed by six questions assessing understanding.29/08/2014

Arrange the Digits

Students must use the digits 1-9 to make 3 three-digit numbers which sum to a number as close as possible to 1500.19/05/2015

Weekly Problem 16 - 2006

A student investigation which requires consideration of multiples.19/05/2015

Inverse Operations Worksheet

A series of puzzles which students must solve by using inverse operations. You will need to register for a TES account to access this resource, this is free of charge.19/05/2015

Prime Factorization

Prime numbers interactive worksheet. An introduction to prime factorization, followed by six questions assessing understanding.29/08/2014

Playing connect three

A game for pairs of students which allows investigation of addition and subtraction of positive and negative integers. 19/05/2015

Venn Multiples

An interactive website in which students must place numbers in the correct area of the Venn diagram, depending on what they are multiples of. The activity can be varied by changing the required multiples.19/05/2015

Eratosthenes' Sieve

Online demonstration which uses the principles of Eratosthenes' Sieve to identify the prime numbers between 1 and 100.19/05/2015

Collecting Data - Organising Data - Repeating Numbers - Problem Sheet

Downloadable resource in doc format. 01/02/2010

168 KB