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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.

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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.

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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,

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Mathematics

Strand: 4. Algebra

Strand unit: 1. Expressions

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

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Language: English
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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

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Mathematics

Strand: 5. Functions

Strand unit: 1. Functions

Suggestions for use: Reference video

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Language: English
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What is a linear function?

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

Khan Academy Video

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Mathematics

Strand: 5. Functions

Strand unit: 1. Functions

Suggestions for use: Reference

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Language: English
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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

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Mathematics

Strand: 5. Functions

Strand unit: 1. Functions

Suggestions for use: Reference video

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Language: English
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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.

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Strand: 5. Functions

Strand unit: 1. Functions

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Language: English
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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?

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Strand: 4. Algebra and Functions

Strand unit: 1. Patterns and Relationships

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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.

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Strand: 4. Algebra and Functions

Strand unit: 7. Functions

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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?

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Strand: 4. Algebra and Functions

Strand unit: 7. Functions

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2019 FL Q3 & Q7

https://www.scoilnet.ieuploads/resources/32630/32372.pdf Added: 21 Apr 2020 Contributor: PDST Resource type: Assessment

SEC exam questions

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Strand: 5. Functions

Strand unit: 1. Functions

Suggestions for use: Assessment

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2018 FL Q10

https://www.scoilnet.ieuploads/resources/32631/32373.pdf Added: 21 Apr 2020 Contributor: PDST Resource type: Assessment

SEC Exam Question

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Strand: 5. Functions

Strand unit: 1. Functions

Suggestions for use: Assessment

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2017 Q8 & Q10

https://www.scoilnet.ieuploads/resources/32632/32374.pdf Added: 21 Apr 2020 Contributor: PDST Resource type: Assessment

SEC Exam Questions

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Strand: 5. Functions

Strand unit: 1. Functions

Suggestions for use: Assessment

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2016 Q9

https://www.scoilnet.ieuploads/resources/32633/32375.pdf Added: 21 Apr 2020 Contributor: PDST Resource type: Assessment

SEC Exam Questions

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Strand: 5. Functions

Strand unit: 1. Functions

Suggestions for use: Assessment

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Rights: Attribution Creative Commons
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