All About Maths

Basic number (8300 - Foundation - 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 of a number line. Students should 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


    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. 22/04/2015
    7.6 MB
    Related resources: Basic number
    Topic overview and lesson plans
    Downloadable resource in doc format. 22/04/2015
    218 KB
    Related resources: Basic number

    Lesson 1 Activity - vertical number lines
    Downloadable resource in doc format. 21/04/2015
    145 KB
    Related resources: Basic number
    Lesson 1 Activity 1a
    Downloadable resource in xls format. 21/04/2015
    31 KB
    Related resources: Basic number
    Lesson 1 Activity 1b
    Downloadable resource in ppt format. 21/04/2015
    1.4 MB
    Related resources: Basic number
    Lesson 2 Activity 1
    Downloadable resource in ppt format. 21/04/2015
    2.0 MB
    Related resources: Basic number
    Lesson 2 Activity 1 (multiplication grids)
    Downloadable resource in xls format. 21/04/2015
    27 KB
    Related resources: Basic number
    Lesson 3 Activity 1
    Downloadable resource in ppt format. 21/04/2015
    2.0 MB
    Related resources: Basic number
    Lesson 3 Activity 2
    Downloadable resource in doc format. 21/04/2015
    202 KB
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    Lesson 3 Activity 3
    Downloadable resource in doc format. 21/04/2015
    85 KB
    Related resources: Basic number
    Lesson 4 Activity 1
    Downloadable resource in ppt format. 21/04/2015
    1.4 MB
    Related resources: Basic number
    Lesson 4 Activity 2
    Downloadable resource in doc format. 21/04/2015
    203 KB
    Related resources: Basic number

    Lesson 1 Plenary 1a
    Downloadable resource in ppt format. 21/04/2015
    1.4 MB
    Related resources: Basic number
    Lesson 1 Plenary worksheet 1b
    Downloadable resource in doc format. 21/04/2015
    202 KB
    Related resources: Basic number
    Lesson 2 Plenary 1
    Downloadable resource in ppt format. 21/04/2015
    1.7 MB
    Related resources: Basic number

    Lesson 1 Worksheet 1a
    Downloadable resource in doc format. 21/04/2015
    295 KB
    Related resources: Basic number
    Lesson 2 Worksheet 1
    Downloadable resource in doc format. 21/04/2015
    233 KB
    Related resources: Basic number
    Lesson 2 Worksheet 2
    Downloadable resource in doc format. 21/04/2015
    61 KB
    Related resources: Basic number
    Lesson 2 Worksheet 3
    Downloadable resource in doc format. 21/04/2015
    246 KB
    Related resources: Basic number
    Lesson 2 Worksheet 4
    Downloadable resource in doc format. 21/04/2015
    206 KB
    Related resources: Basic number
    Lesson 4 Worksheet 1
    Downloadable resource in doc format. 21/04/2015
    205 KB
    Related resources: Basic number
    Lesson 3 Worksheet 1
    Downloadable resource in doc format. 21/04/2015
    212 KB
    Related resources: Basic number

    Lesson 2 Homework sheet 1
    Downloadable resource in doc format. 21/04/2015
    208 KB
    Related resources: Basic number
    Lesson 3 Homework sheet 1
    Downloadable resource in doc format. 21/04/2015
    207 KB
    Related resources: Basic number
    Lesson 4 Homework sheet 1
    Downloadable resource in doc format. 21/04/2015
    205 KB
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    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)
    GCSE Maths: Place Value Puzzles
    A series of puzzles which support students in developing an understanding of place value. Cards labelled 1 - 9 underpin each activity. 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): 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)
    Number Line
    Positioning and ordering positive and negative integers on a number line.19/05/2015
    E-library
    Type(s): Activities (e-library)
    Second Holiday
    An activity which requires students to estimate the duration of a holiday in seconds. 19/05/2015
    E-library
    Type(s): Activities (e-library)
    Tarsia nth term, including quadratics
    A hexagonal tarsia involving finding the nth term for a linear sequence, including some very simple quadratics such as n2 which would be accessible for Foundation tier students. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015
    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)
    THOAN: Think of a Number
    Four 'think of a number' puzzles in which students must work out the original number given some subsequent calculations and the final answer.19/05/2015
    E-library
    Type(s): Plenaries (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)

    Number - Boat Hire - Problem Sheet
    Downloadable resource in doc format. 04/05/2010
    108 KB
    Related resources: Basic number | Foundation | Unit 2 | Number | Problem Sheets
    Number - Coins - Problem Sheet
    Downloadable resource in doc format. 04/05/2010
    104 KB
    Related resources: Basic number | Foundation | Unit 2 | Number | Problem Sheets
    Number - Digitification - Problem Sheet
    Downloadable resource in doc format. 04/05/2010
    105 KB
    Related resources: Basic number | Foundation | Unit 2 | Number | Problem Sheets
    Number - Double Trouble - Problem Sheet
    Downloadable resource in doc format. 04/05/2010
    173 KB
    Related resources: Basic number | Foundation | Unit 2 | Number | Problem Sheets
    Number - Five Thousand - Problem Sheet
    Arrange four digits to make a number that is the closest possible to 5000. 04/05/2010
    106 KB
    Related resources: Basic number | Foundation | Unit 2 | Number | Problem Sheets
    Number - Five Times - Problem Sheet
    Downloadable resource in doc format. 04/05/2010
    104 KB
    Related resources: Basic number | Foundation | Unit 2 | Number | Problem Sheets
    Number - Homework sheets
    Downloadable resource in doc format. 04/05/2010
    171 KB195 KB
    Related resources: Basic number | Factors and multiples | Rounding | Foundation | Unit 2 | Number | Homework Sheets
    Number - Hotel Charges - Problem Sheet
    Downloadable resource in doc format. 04/05/2010
    115 KB
    Related resources: Basic number | Foundation | Unit 2 | Number | Problem Sheets
    Number - Order of operations - Lesson plan
    Downloadable resource in doc format. 04/05/2010
    68 KB
    Related resources: Basic number | Foundation | Unit 2 | Number | Lesson Plans
    Number - Posters - Problem Sheet
    Downloadable resource in doc format. 04/05/2010
    132 KB
    Related resources: Basic number | Foundation | Unit 2 | Number | Problem Sheets
    Number - Put the numbers in - Problem Sheet
    Downloadable resource in doc format. 04/05/2010
    107 KB
    Related resources: Basic number | Foundation | Unit 2 | Number | Problem Sheets
    Number - Stamps - Problem Sheet
    Downloadable resource in doc format. 04/05/2010
    105 KB
    Related resources: Basic number | Foundation | Unit 2 | Number | Problem Sheets
    Number - Stationery - Problem Sheet
    Downloadable resource in doc format. 04/05/2010
    105 KB
    Related resources: Basic number | Foundation | Unit 2 | Number | Problem Sheets
    Number - Sum and Difference - Problem Sheet
    Downloadable resource in doc format. 04/05/2010
    106 KB
    Related resources: Basic number | Foundation | Unit 2 | Number | Problem Sheets
    Number - Tendency - Problem Sheet
    Downloadable resource in doc format. 04/05/2010
    105 KB
    Related resources: Basic number | Foundation | Unit 2 | Number | Problem Sheets
    Number - Three Different Numbers - Problem Sheet
    Downloadable resource in doc format. 04/05/2010
    105 KB
    Related resources: Basic number | Foundation | Unit 2 | Number | Problem Sheets
    Number - Three Numbers - Problem Sheet
    Downloadable resource in doc format. 03/04/2010
    105 KB
    Related resources: Basic number | Foundation | Unit 2 | Number | Problem Sheets

    Topic Tests

    8300 GCSE Foundation Arithmetic (Multiplication) Mark Scheme
    Downloadable resource in pdf format. 09/09/2022
    307 KB
    Related resources: Basic number
    8300 GCSE Foundation Arithmetic (Multiplication) Topic Test
    Downloadable resource in pdf format. 09/09/2022
    214 KB
    Related resources: Basic number
    8300 GCSE Foundation Arithmetic Involving Money Mark Scheme
    Downloadable resource in pdf format. 09/09/2022
    291 KB
    Related resources: Basic number
    8300 GCSE Foundation Arithmetic Involving Money Topic Test
    Downloadable resource in pdf format. 09/09/2022
    213 KB
    Related resources: Basic number
    8300 GCSE Foundation Negative Numbers Mark Scheme
    Downloadable resource in pdf format. 09/09/2022
    242 KB
    Related resources: Basic number
    8300 GCSE Foundation Negative Numbers Topic Test
    Downloadable resource in pdf format. 09/09/2022
    313 KB
    Related resources: Basic number
    8300 GCSE Foundation Place Value Mark Scheme
    Downloadable resource in pdf format. 09/09/2022
    258 KB
    Related resources: Basic number
    8300 GCSE Foundation Place Value Topic Test v1.1
    Downloadable resource in pdf format. 09/09/2022
    308 KB
    Related resources: Basic number
    8300 GCSE Foundation Power, Roots and Priority of Operations Mark Scheme
    Downloadable resource in pdf format. 09/09/2022
    282 KB
    Related resources: Basic number
    8300 GCSE Foundation Power, Roots and Priority of Operations Topic Test
    Downloadable resource in pdf format. 09/09/2022
    308 KB
    Related resources: Basic number
    8300 GCSE Foundation Time Calculations Mark Scheme
    Downloadable resource in pdf format. 09/09/2022
    282 KB
    Related resources: Basic number
    8300 GCSE Foundation Time Calculations Topic Test
    Downloadable resource in pdf format. 09/09/2022
    188 KB
    Related resources: Basic number
    8300 GCSE Foundation Types of Number Mark Scheme
    Downloadable resource in pdf format. 09/09/2022
    274 KB
    Related resources: Basic number
    8300 GCSE Foundation Types of Number Topic Test
    Downloadable resource in pdf format. 09/09/2022
    244 KB
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