Strand 5 Leaving Certificate Ordinary Level Functions and Calculus - Revised

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Modules

Topics

1.5-3

hours

strand 5 leaving certificate ordinary level functions and calculus
Module 1
Functions
Resources available

In this module you will learn how to work with functions to plot graphs, including quadratic and cubic graphs with exponential graphs.

Functions - Learning Outcomes

Start Topic

Plotting Quadratic Graphs From Table of Values

Start Topic

Plotting Cubic Graphs From Table of Values

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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(x-a)

Start Topic

Translating Functions Using f(x)+a

Start Topic

Stretching Functions in x Direction

Start Topic

Stretching Functions in The y Direction

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The Discriminant

Start Topic

Functions - Lesson Summary

Start Topic
Module 2
Calculus - Differentiation
Resources available

In this module, you will learn to review differentiation in detail including the Product Rule, Chain Rule and Quotient Rule.

Calculus - Differentiation - Learning Outcomes

Start Topic

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

Using Different Variables

Start Topic

Differentiating Products and Quotients

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

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Maximum Volume of Box

Start Topic

Differentiation and Matching Graphs

Start Topic

Calculus - Differentiation - Learning Outcomes

Start Topic
course assessment: Strand 5 Leaving Certificate Ordinary Level Functions and Calculus - Revised
Module 3
Course assessment
Resources available

Strand 5 Ordinary Level Functions and Calculus - Course Assessment

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Strand 5 Leaving Certificate Ordinary Level Functions and Calculus - Revised

strand 5 leaving certificate ordinary level functions and calculus

Functions

Functions - Learning Outcomes

Plotting Quadratic Graphs From Table of Values

Plotting Cubic Graphs From Table of Values

Plotting Reciprocal Graphs From Table of Values

Plotting Exponential Graphs From Table of Values

Matching Equations and Sketches

Matching Functions and Graphs – Quadratic / Exponential

Translation of Functions Using f(x-a)

Translating Functions Using f(x)+a

Stretching Functions in x Direction

Stretching Functions in The y Direction

The Discriminant

Functions - Lesson Summary

Calculus - Differentiation

Calculus - Differentiation - Learning Outcomes

Basic Differentiation of y = x^n

Differentiation of Polynomials

Equation of a Tangent

Equation of a Normal

General Differentiation of x^n

Second Derivative

Differentiation of Tangents

Using Different Variables

Differentiating Products and Quotients

The Chain Rule

The Product Rule

The Quotient Rule

Applications of Differentiation 1 (Displacement / Velocity / Acceleration)

Applications of Differentiation 2 (Voltage / Current)

Differentiation and Turning Points

Maximum Volume of Box

Differentiation and Matching Graphs

Calculus - Differentiation - Learning Outcomes

course assessment: Strand 5 Leaving Certificate Ordinary Level Functions and Calculus - Revised

Course assessment

Strand 5 Ordinary Level Functions and Calculus - Course Assessment