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Junior Certificate Strand 5 - Higher Level - Functions and Calculus

  • Description
  • Outcome
  • Certification
  • Functions and Calculus is one of the strands of the new Project Maths Course in the Irish curriculum. Functions provides an essential link between Algebra and Number and introduces the students to applications of calculus in the real world. Use of differentiation to find the slope of a tangent to a curve at a specified point is introduced. This is then extended to the study of increasing and decreasing functions. Functions and Differentiation are used in real life to help us understand rates of increase and decrease. For example, students will solve problems involving the maximum speed reached by a car and the highest point reached by a firework or rocket. Finally, the concept of numerical integration is introduced through the use of the ‘Trapezoidal Rule’ to find areas under specific curves. It is an interesting topic that is very accessible to all students.

  • Having completed this course students will be able to:
    - Basic Differentiation of functions; - The rules of differentiation (product rule, quotient rule, chain rule); - Determine the local maxima and local minima turning points of a curve; - Understand rate of change of distance; - Use slope to determine the nature of a function; How to use the Trapezoidal Rule to find area.

  • All Alison courses are free to study. To successfully complete a course you must score 80% or higher in each course assessments. Upon successful completion of a course, you can choose to make your achievement formal by purchasing an official Alison Diploma, Certificate or PDF.

    Having an official Alison document is a great way to share your success. Plus it’s:

    • Ideal for including in CVs, job applications and portfolios
    • An indication of your ability to learn and achieve high results
    • An incentive to continue to empower yourself through learning
    • A tangible way of supporting the Alison mission to empower people everywhere through education.

Junior Certificate Strand 5 - Higher Level - Functions and Calculus
  • Free

  • 1-2 Hours

  • Advance Learning

  • Assessment

  • Certification

  • 50 Pts

Modules List( 2 )
  • Junior Certificate Strand 5 - Higher Level - Functions and Calculus
    • Learn more about Functions and Calculus for Strand 5 Higher Level of the Junior Certificate curriculum.
    • Plotting Quadratic Graphs from a Table of Values
    • Plotting Cubic Graphs from a Table of Values
    • Plotting Reciprocal Graphs from a Table of Values
    • Matching Equations and Sketches
    • Sketching Parabola Using Completing the Square
    • Completing the Square and Sketching the Full Method
    • Matching Functions and Graphs – Quadratic / Exponential
    • Translation of Functions Using f(x – a)
    • Translation of Functions Using f(x) + a
  • END OF COURSE ASSESSMENT
  • Junior Certificate - Strand 5 - Higher Level Functions and Calculus Assessment
    • You must score 80% or more to pass this assessment.
    • Junior Certificate - Strand 5 - Higher Level - Functions and Calculus - Assessment
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