All About Maths

Basic number (8300 - Higher - Number)

Topic:Basic number

Route Map

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
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, 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


    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

    Basic number - all resources for 3 year route map - zip folder
    Downloadable resource in zip format. 02/10/2015
    3.1 MB
    Related resources: Basic number
    Topic overview and lesson plans
    Downloadable resource in doc format. 02/10/2015
    214 KB
    Related resources: Basic number

    Lesson 3 Activity 1
    Downloadable resource in doc format. 02/10/2015
    202 KB
    Related resources: Basic number
    Lesson 3 Activity 2
    Downloadable resource in doc format. 02/10/2015
    124 KB
    Related resources: Basic number
    Lesson 4 Activity 1
    Downloadable resource in doc format. 02/10/2015
    203 KB
    Related resources: Basic number

    Lesson 1 Plenary 1
    Downloadable resource in doc format. 02/10/2015
    200 KB
    Related resources: Basic number
    Lesson 2 Plenary 1
    Downloadable resource in ppt format. 02/10/2015
    1.6 MB
    Related resources: Basic number

    Lesson 1 Worksheet 1
    Downloadable resource in doc format. 02/10/2015
    300 KB
    Related resources: Basic number
    Lesson 2 Worksheet 1
    Downloadable resource in doc format. 02/10/2015
    210 KB
    Related resources: Basic number
    Lesson 2 Worksheet 2
    Downloadable resource in doc format. 02/10/2015
    210 KB
    Related resources: Basic number
    Lesson 2 Worksheet 3
    Downloadable resource in doc format. 02/10/2015
    245 KB
    Related resources: Basic number
    Lesson 2 Worksheet 4
    Downloadable resource in doc format. 02/10/2015
    207 KB
    Related resources: Basic number
    Lesson 4 Worksheet 1
    Downloadable resource in doc format. 02/10/2015
    207 KB
    Related resources: Basic number

    Lesson 2 Homework sheet 1
    Downloadable resource in doc format. 02/10/2015
    206 KB
    Related resources: Basic number
    Lesson 3 Homework sheet 1
    Downloadable resource in doc format. 02/10/2015
    207 KB
    Related resources: Basic number
    Lesson 4 Homework sheet 1
    Downloadable resource in doc format. 02/10/2015
    204 KB
    Related resources: Basic number

    Diagnostic Questions - Basic Number
    AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for our new 2017 GCSE Maths specification.23/02/2016
    E-library
    Type(s): Diagnostic Questions (e-library)

    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
    E-library
    Type(s): Overview (e-library)

    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
    E-library
    Type(s): Activities (e-library) | Plenaries (e-library)
    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
    E-library
    Type(s): Activities (e-library)
    Inequalities
    Choosing the correct inequality symbol to place between pairs of numbers. Some pairs include negative numbers. 19/05/2015
    E-library
    Type(s): Activities (e-library)
    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
    E-library
    Type(s): Activities (e-library)
    Number Line
    Positioning and ordering positive and negative integers on a number line.19/05/2015
    E-library
    Type(s): Activities (e-library)

    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
    E-library
    Type(s): Activities (e-library) | Plenaries (e-library)

    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
    E-library
    Type(s): Worksheets (e-library)

    Playing connect three
    A game for pairs of students which allows investigation of addition and subtraction of positive and negative integers. 19/05/2015
    E-library
    Type(s): Game (e-library)

    Collecting Data - Organising Data - Repeating Numbers - Problem Sheet
    Downloadable resource in doc format. 01/02/2010
    168 KB
    Related resources: Higher | Unit 1 | Collecting Data | Basic number, factors and multiples | Basic number | Factors and multiples | Problem Sheets
    Ratio and Proportion - Golf - Golf Scores - Problem Sheet and Answers
    Downloadable resource in doc format. 07/05/2010
    215 KB150 KB
    Related resources: Higher | Unit 1 | Ratio and Proportion | Basic number, factors and multiples | Basic number | Factors and multiples | Problem Sheets
    Ratio and Proportion - Golf - Holes and Distances - Supplementary Resource
    Downloadable resource in xls format. 08/05/2010
    43 KB
    Related resources: Higher | Unit 1 | Ratio and Proportion | Basic number, factors and multiples | Basic number | Factors and multiples | Supplementary Resources
    Ratio and Proportion - Golf - Par Cards - Supplementary Resource
    Downloadable resource in xls format. 09/05/2010
    40 KB
    Related resources: Higher | Unit 1 | Ratio and Proportion | Basic number, factors and multiples | Basic number | Factors and multiples | Supplementary Resources
    Ratio and Proportion - Maths and Golf - Lesson Plan
    Downloadable resource in doc format. 10/05/2010
    169 KB
    Related resources: Higher | Unit 1 | Ratio and Proportion | Basic number, factors and multiples | Basic number | Factors and multiples | Lesson Plans

    Topic Tests

    8300 GCSE Higher Arithmetic (including fractions) Mark Scheme
    Downloadable resource in pdf format. 09/09/2022
    239 KB
    Related resources: Basic number, factors and multiples | Basic number
    8300 GCSE Higher Arithmetic (including fractions) Topic Test
    Downloadable resource in pdf format. 09/09/2022
    230 KB
    Related resources: Basic number, factors and multiples | Basic number
    8300 GCSE Higher Types of Number Mark Scheme
    Downloadable resource in pdf format. 09/09/2022
    242 KB
    Related resources: Basic number, factors and multiples | Basic number
    8300 GCSE Higher Types of Number Topic Test
    Downloadable resource in pdf format. 09/09/2022
    205 KB
    Related resources: Basic number, factors and multiples | Basic number
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