
Free Course

Advance Learning

23 Hours

Assessment

Certification

Academic  Secondary  Level 1

50 Pts
Strand 5 Ordinary Level Functions and Calculus

Description

Outcome

Certification

Functions was the final strand to be introduced in phase 3 of the new Project Maths Course. This topic 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.

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

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Modules List( 3 )

PROJECT MATHS STRAND 5 ORDINARY LEVEL: FUNCTIONS A...

Module
1 Functions
Learn more about functions.

Plotting quadratic graphs from table of values
Start Topic

Plotting cubic graphs from table of values
Start Topic

Plotting reciprocal graphs from table of values
Start Topic

Plotting exponential graphs from table of values
Start Topic

Matching equations and sketches
Start Topic

Matching functions and graphs – quadratic / exponential
Start Topic

Translation of functions using f(xa)
Start Topic

Translating of functions using f(x)+a
Start Topic

Stretching functions in x direction
Start Topic

Stretching functions in y direction
Start Topic

The Discriminant
Start Topic


Module
2 Calculus  Differentiation
Learn more about differentiation.

Basic differentiation of y = x^n
Start Topic

Differentiation of polynomials
Start Topic

Equation of a tangent
Start Topic

Equation of a normal
Start Topic

General differentiation of x^n
Start Topic

Second derivative
Start Topic

Differentiation of tangents
Start Topic

Differentiating products and quotients
Start Topic

Differentiation and rates of change
Start Topic

The Chain Rule
Start Topic

The Product Rule
Start Topic

The Quotient Rule
Start Topic

Applications of differentiation 1 (displacement / velocity / acceleration)
Start Topic

Applications of differentiation 2 (voltage / current)
Start Topic

Differentiation and turning points
Start Topic

Maximum volume of box
Start Topic

Differentiation and matching graphs
Start Topic


END OF COURSE ASSESSMENT

Strand 5 Ordinary Level Functions and Calculus Assessment

You must score 80% or more to pass this assessment.

Strand 5 Ordinary Level Functions and Calculus Assessment
Start Topic


RESOURCE

Resource: Examination Material Archive View Resource