School level

# 22nd April

## 22nd April: Linear Functions

### Learning Outcomes

Students studying at FL and at OL should be able to:

• recognise that a function assigns a unique output to a given input
• graph functions of the form ax+b where a,b ∈ Q, x ∈ R
Resources and Presentation
Explanatory Videos
GeoGebra Files
SEC Exam Question

### Algebra Through The Lens of Functions; Unit 8 Comparing Linear Functions

https://www.scoilnet.ieuploads/resources/32383/32125.pdf Added: 31 Mar 2020 Contributor: PDST Resource type: Lesson Plan / Reference / Article

This document is a guide to teaching Algebra through the lens of functions through a series of units. Unit 8 compares linear functions and gives an understanding of the equation of a line through growing patterns.

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 2. Geometry & Trigonometry

Strand unit: 2. Co-ordinate Geometry

Suggestions for use: This can be used as a guide to teaching Algebra and introducing linear functions.

Asset type: Document
Language: English
Special Needs:

### Algebraic Relationships - Matching

https://www.scoilnet.ieuploads/resources/29652/29388.pdf Added: 17 May 2019 Contributor: PDST Resource type: Assessment / Activity

An activity where students match an algebraic expression with a corresponding graph, table, word expression and array model,

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 4. Algebra

Strand unit: 1. Expressions

Suggestions for use: To test students understanding of of algebraic expressions

Asset type: Document
Language: English
Rights: Attribution-Noncommercial Share Alike Creative Commons
Special Needs:

### What is a function?

https://youtu.be/kvGsIo1TmsM Added: 21 Apr 2020 Contributor: PDST Resource type: Guide/notes

Khan Academy video demonstrating what a function is

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 1. Functions

Suggestions for use: Reference video

Asset type: Video
Language: English
Special Needs:

### What is a linear function?

https://youtu.be/AZroE4fJqtQ Added: 21 Apr 2020 Contributor: PDST Resource type: Guide/notes

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 1. Functions

Suggestions for use: Reference

Asset type: Video
Language: English
Special Needs:

### Interpreting Linear Functions

https://youtu.be/hOsBsHA6okM Added: 21 Apr 2020 Contributor: PDST Resource type: Guide/notes

Khan Academy video explaining how to interpret a linear function

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 1. Functions

Suggestions for use: Reference video

Asset type: Video
Language: English
Special Needs:

### Finding the Equation of a Linear Function

https://www.scoilnet.ie/pdst/maths/student/lc/lc-algebra/equations/ Added: 09 Nov 2019 Contributor: PDST Resource type: Guide/notes / Simulation

GeoGebra file and student worksheet to learn how the algebra of a line is related to its graph.

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 1. Functions

Asset type: Online Resource
Language: English
Special Needs:

### Equation of a Line

https://www.scoilnet.ie/pdst/maths/...ra/the-equation-of-a-straight-line/ Added: 26 Jun 2019 Contributor: PDST Resource type: Experiment / Guide/notes

Use this interactive file to understand the relationship between y=mx+c and its graph. Use this file in conjunction with the corresponding student activity. Drag the sliders to change the value of m and the value of c. Can you see the effect changes in m and c have on the graph?

JC Mathematics

#### How it maps to the curriculum

JC
Mathematics

Strand: 4. Algebra and Functions

Strand unit: 1. Patterns and Relationships

Asset type: Online Resource
Language: English
Special Needs:

### Comparing Mobile Phone Chargers

https://www.scoilnet.ie/pdst/maths/...bra/comparing-mobile-phone-charges/ Added: 26 Jun 2019 Contributor: PDST Resource type: Experiment / Guide/notes

Use this interactive file to understand how graphs can be used to compare charges of different phone networks. Learn the effect that a fixed charge and a per-minute charge have on the overall cost. Use in conjunction with the corresponding student activity. Drag the sliders to change the fixed charge and the cost-per-minute of a phonecall for Network A and Network B. Drag the red dot to find the total cost of a phone bill as the number of minutes increases.

JC Mathematics

#### How it maps to the curriculum

JC
Mathematics

Strand: 4. Algebra and Functions

Strand unit: 7. Functions

Asset type: Online Resource
Language: English
Special Needs:

### Linear Function

https://www.scoilnet.ie/index.php?id=1540&L=0 Added: 26 Jun 2019 Contributor: PDST Resource type: Experiment / Guide/notes

Use this interactive file to learn how to solve a pair of linear equations simultaneously. Learn how to use tables, graphs and algebra to find the solution. Use in conjunction with the corresponding student activity. Drag the sliders to change the two equations and their graphs. Where do the two graphs meet? Can you find these points algebraically?

JC Mathematics

#### How it maps to the curriculum

JC
Mathematics

Strand: 4. Algebra and Functions

Strand unit: 7. Functions

Asset type: Online Resource
Language: English
Special Needs:

### 2019 FL Q3 & Q7

SEC exam questions

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 1. Functions

Suggestions for use: Assessment

Asset type: Document
Language: English
Special Needs:

### 2018 FL Q10

SEC Exam Question

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 1. Functions

Suggestions for use: Assessment

Asset type: Document
Language: English
Special Needs:

### 2017 Q8 & Q10

SEC Exam Questions

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 1. Functions

Suggestions for use: Assessment

Asset type: Document
Language: English
Special Needs:

### 2016 Q9

SEC Exam Questions

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 5. Functions

Strand unit: 1. Functions

Suggestions for use: Assessment

Asset type: Document
Language: English
Special Needs:

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