All About Maths

Pre-calculus and area under a curve (8300 - Higher - Algebra)

Topic:Pre-calculus and area under a curve

Route Map

Specification references (in recommended teaching order)

Specification content Specification notes
A15
  • Calculate or estimate gradients of graphs and areas under graphs (including quadratic and other non-linear graphs)
  • Interpret the results in cases such as distance-time graphs, velocity-time graphs and graphs in financial contexts


    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

    Pre-calculus and area under a curve - all resources for 3 year route map - zip folder
    Downloadable resource in zip format. 13/10/2015
    7.9 MB
    Related resources: Pre-calculus and area under a curve
    Topic overview and lesson plans
    Downloadable resource in doc format. 13/10/2015
    320 KB
    Related resources: Pre-calculus and area under a curve

    Lesson 1 Activity 1
    Downloadable resource in ppt format. 13/10/2015
    1.5 MB
    Related resources: Pre-calculus and area under a curve
    Lesson 2 Activity 1
    Downloadable resource in ppt format. 13/10/2015
    1.5 MB
    Related resources: Pre-calculus and area under a curve
    Lesson 3 Activity 1
    Downloadable resource in ppt format. 13/10/2015
    1.6 MB
    Related resources: Pre-calculus and area under a curve
    Lesson 4 Activity 1
    Downloadable resource in ppt format. 13/10/2015
    1.8 MB
    Related resources: Pre-calculus and area under a curve
    Lesson 6 Activity 1
    Downloadable resource in ppt format. 13/10/2015
    1.4 MB
    Related resources: Pre-calculus and area under a curve

    Lesson 1 Worksheet 1
    Downloadable resource in doc format. 13/10/2015
    1.3 MB
    Related resources: Pre-calculus and area under a curve
    Lesson 2 Worksheet 1
    Downloadable resource in doc format. 13/10/2015
    3.8 MB
    Related resources: Pre-calculus and area under a curve
    Lesson 3 Worksheet 1
    Downloadable resource in doc format. 13/10/2015
    272 KB
    Related resources: Pre-calculus and area under a curve
    Lesson 4 Worksheet 1
    Downloadable resource in doc format. 13/10/2015
    11.9 MB
    Related resources: Pre-calculus and area under a curve
    Lesson 5 Worksheet 1
    Downloadable resource in doc format. 13/10/2015
    2.5 MB
    Related resources: Pre-calculus and area under a curve
    Lesson 6 Worksheet 1
    Downloadable resource in doc format. 13/10/2015
    317 KB
    Related resources: Pre-calculus and area under a curve
    Lesson 6 Worksheet 2
    Downloadable resource in doc format. 13/10/2015
    362 KB
    Related resources: Pre-calculus and area under a curve

    Lesson 1 Homework sheet 1
    Downloadable resource in doc format. 13/10/2015
    416 KB
    Related resources: Pre-calculus and area under a curve
    Lesson 2 Homework sheet 1
    Downloadable resource in doc format. 13/10/2015
    2.6 MB
    Related resources: Pre-calculus and area under a curve
    Lesson 3 Homework sheet 1
    Downloadable resource in doc format. 13/10/2015
    205 KB
    Related resources: Pre-calculus and area under a curve
    Lesson 4 Homework sheet 1
    Downloadable resource in doc format. 13/10/2015
    1.5 MB
    Related resources: Pre-calculus and area under a curve
    Lesson 5 Homework sheet 1
    Downloadable resource in doc format. 13/10/2015
    266 KB
    Related resources: Pre-calculus and area under a curve
    Lesson 6 Homework sheet 1
    Downloadable resource in doc format. 13/10/2015
    464 KB
    Related resources: Pre-calculus and area under a curve

    Diagnostic Questions - pre-calculus and area under a curve 1
    AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification.21/07/2017
    E-library
    Type(s): Diagnostic Questions (e-library)
    Diagnostic Questions - pre-calculus and area under a curve 2
    AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification.21/07/2017
    E-library
    Type(s): Diagnostic Questions (e-library)
    Diagnostic Questions - pre-calculus and area under a curve 3
    AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification.21/07/2017
    E-library
    Type(s): Diagnostic Questions (e-library)

    Gradients and area under a curve
    An overview of how to find the gradient of a curve and how this could be used in a real life context to find acceleration from a velocity time graph.21/08/2015
    E-library
    Type(s): Overview (e-library)

    Chelsea Diagnostic Maths Tests
    A set of 15 questions on graphs.27/08/2015
    E-library
    Type(s): Activities (e-library) | Worksheets (e-library) | Tests (e-library)
    Gradients at points and area under curves
    A straightforward powerpoint which introduces the idea of finding the area under a curve by splitting the area into regions which are easy to calculate. You will need to register for a TES account to access this resource, this is free of charge. 21/08/2015
    E-library
    Type(s): Activities (e-library)
    How do we find the area under a curve?
    A Geogebra file which shows clearly how increasing the number of bars creates a closer and closer approximation to the area underneath a curve.21/08/2015
    E-library
    Type(s): Activities (e-library)
    National STEM Centre Travel Graphs
    The Trapezium Rule tab of this Excel file illustrates how to estimate the distance travelled by finding the area under a speed time graph. The Examples tab gives access to further questions involving finding the area using the trapezium rule. You will need to register for an account to access this resource, this is free of charge. 21/08/2015
    E-library
    Type(s): Activities (e-library)
    Nuffield Foundation: Speed and Distance
    Students use these resources to explore the idea that area under speed time graphs represent the distance travelled.21/08/2015
    E-library
    Type(s): Activities (e-library) | Worksheets (e-library)
    Trapezium Rule Spreadsheet
    A spreadsheet which finds the area under a chosen curve between two points, with a chosen number of strips. Helpful for showing that increasing the number of strips creates a closer approximation. You will need to register for a TES account to access this resource, this is free of charge. 21/08/2015
    E-library
    Type(s): Activities (e-library)

    Chelsea Diagnostic Maths Tests
    A set of 15 questions on graphs.27/08/2015
    E-library
    Type(s): Activities (e-library) | Worksheets (e-library) | Tests (e-library)
    Nuffield Foundation: Speed and Distance
    Students use these resources to explore the idea that area under speed time graphs represent the distance travelled.21/08/2015
    E-library
    Type(s): Activities (e-library) | Worksheets (e-library)

    Chelsea Diagnostic Maths Tests
    A set of 15 questions on graphs.27/08/2015
    E-library
    Type(s): Activities (e-library) | Worksheets (e-library) | Tests (e-library)

    Topic Tests

    8300 GCSE Higher Velocity time graphs Mark Scheme
    Downloadable resource in pdf format. 25/07/2023
    237 KB
    Related resources: Pre-calculus and area under a curve
    8300 GCSE Higher Velocity time graphs Topic Test
    Downloadable resource in pdf format. 25/07/2023
    447 KB
    Related resources: Pre-calculus and area under a curve
    Exampro

    Access thousands of exam questions with Exampro Mathematics

    Sign up to All About Maths

    Create, edit, and share assessments quickly and easily with Exampro Mathematics

    Quick links