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Collections Introduction to differential calculus

TLF ID R10711

This collection of 17 digital curriculum resources (all learning objects) is organised into three sections: rates of change; differential calculus; and review of differential calculus via three learning objects. Students explore rates of change through liquid-pouring activities, and are introduced to the gradient of secants for linear, quadratic, cubic and quartic equations by using distance-time graphs and reducing time intervals to highlight the relationship between average and instantaneous velocity. The collection also introduces the derivative, using first principles for all power functions. It enables students to investigate the relationships between power functions and their derivatives.



Educational details

Educational value
  • Provides a selection of quality-assured resources about differential calculus to support mathematics teaching and learning in years 10 to 12.
  • Presents the resources in three ways - on a carousel, on a 'View all' page and as expandable categories on individual resource pages.
  • Provides links to each of the resources included in the collection.
Year level

10; 11; 12

Learning area
  • mathematics
Strand
  • Mathematics/Number and algebra

    Other details

    Contributors
    • Author
    • Organisation: Education Services Australia
    • Address: Melbourne VIC 3000 Australia
    • URL: http://www.esa.edu.au/
    • Publisher
    • Date of contribution: 20 Sep 2013
    • Organisation: Education Services Australia
    • Address: Melbourne VIC 3000 Australia
    • URL: http://www.esa.edu.au/
    • Content provider
    • Organisation: Education Services Australia
    • Address: Melbourne VIC 3000 Australia
    • URL: http://www.esa.edu.au/
    • Remarks: Copyright Education Services Australia Ltd.
    Access profile
    • Colour independence
    • Device independence
    • Hearing independence
    Learning resource type
    • Collection
    Browsers
    • Microsoft Internet Explorer - minimum version: 8.0 (MS-Windows) - maximum version: 9.0 (MS Windows)
    • Firefox - minimum version: (MS-Windows)
    • Safari - minimum version: 5.1 (MacOS)
    Operating systems
    • MacOS - minimum version: 10.6
    • MS-Windows - minimum version: XP - maximum version: 7
    Platform requirements
    • Initial load time may exceed 10 seconds on a dedicated 64kbps due to the use of rich media content.
    Rights
    • © Education Services Australia Ltd, 2013, except where indicated under Acknowledgements.