School level

# 31st March

## 31st March: Resources for Co-Ordinate Geometry, Parallel and Perpendicular Lines

### Learning Outcomes

Students studying OL and HL should be able to:

• Use slopes to show that lines are parallel or perpendicular
• Recognise that the relationship ax+by+c=0 is linear
• Solve problems involving slope
GeoGebra Files
SEC Exam Questions
Student Activities
Resources & Presentations

### The Equation of a Line using Geogebra

https://www.projectmaths.ie/geogebra/equation-of-a-line/ Added: 31 Mar 2020 Contributor: PDST Resource type: Demonstration / Simulation / Tool

This interactive tool allows the user to investigate the equation of a line, y=mx+c and understand how the values of the constants m and c alter the graph of the line.

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 2. Geometry & Trigonometry

Strand unit: 2. Co-ordinate Geometry

Suggestions for use: This Geogebra file can be used as a revision of prior knowledge of the equation of a line from Junior Cycle and will enhance understanding of slope.

Asset type: Online Resource
Language: English
Special Needs:

### Co-ordinate Geometry using Geogebra

https://www.geogebra.org/m/YyZUdvA7 Added: 31 Mar 2020 Contributor: PDST Resource type: Demonstration / Simulation / Tool

The content of this Geogebra chapter includes midpoint, slope, parallel and perpendicular lines, the equation of a line

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 2. Geometry & Trigonometry

Strand unit: 2. Co-ordinate Geometry

Suggestions for use: Can be used to explore different relationships between parallel and perpendicular lines.

Asset type: Online Resource
Language: English
Special Needs:

### SEC OL Leaving Certificate Co-ordinate Geometry Question

https://www.scoilnet.ieuploads/resources/32389/32131.docx Added: 31 Mar 2020 Contributor: PDST Resource type: Assessment / Exam Papers

A sample of Paper 2 questions on equations of the line.

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 2. Geometry & Trigonometry

Strand unit: 2. Co-ordinate Geometry

Suggestions for use: Assessment of learning and revision of the equation of a line, parallel and perpendicular lines.

Asset type: Document
Language: English
Special Needs:

### SEC HL Leaving Certificate Co-ordinate Geometry Question

https://www.scoilnet.ieuploads/resources/32388/32130.docx Added: 31 Mar 2020 Contributor: PDST Resource type: Assessment / Exam Papers

2011 Paper 2 Question3. Parallel and perpendicular lines

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 2. Geometry & Trigonometry

Strand unit: 2. Co-ordinate Geometry

Suggestions for use: Assessment of learning of the equation of a line, understanding of slope and intercept. and the relationship between the slopes of parallel and perpendicular lines.

Asset type: Document
Language: English
Special Needs:

### Student Activity: Slope

https://www.scoilnet.ieuploads/resources/32390/32132.pdf Added: 31 Mar 2020 Contributor: PDST Resource type: Assessment / Worksheet / Activity

Activity matching the slope of a line to its graph

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 2. Geometry & Trigonometry

Strand unit: 2. Co-ordinate Geometry

Suggestions for use: Assessment of student understanding of the relationship between the slope of a line and its graph.

Asset type: Document
Language: English
Special Needs:

### The Sunflower Problem

https://www.scoilnet.ieuploads/resources/32386/32128.docx Added: 31 Mar 2020 Contributor: PDST Resource type: Worksheet / Activity

This activity allows students to explore and analyse relationships between words, tables, graphs and algebra to represent functions.

JC Mathematics

#### How it maps to the curriculum

JC
Mathematics

Strand: 3. Geometry & Trigonometry

Strand unit: 5. The Co-Ordinate Plane

Suggestions for use: This student activity on growing patterns can be used as an introduction to graphing linear functions from word expressions and tables.

Key Skills: Being Creative Managing Information and Thinking Numeracy

Asset type: Document
Language: English
Special Needs:

### Parallel and Perpendicular Lines

https://www.khanacademy.org/math/ge...l-perpendicular-eq/v/parallel-lines Added: 31 Mar 2020 Contributor: PDST Resource type: Guide/notes / Audio / Video / Presentation / Tool

This Khan Academy video demonstrates how to write equations of parallel and perpendicular lines. It also demonstrates how to prove that lines are parallel or perpendicular from their equations or slopes.

SC Mathematics

#### How it maps to the curriculum

SC
Mathematics

Strand: 2. Geometry & Trigonometry

Strand unit: 2. Co-ordinate Geometry

Suggestions for use: This video is used as a teaching aid to demonstrate how to relate parallel lines to their equations or slopes, and how to relate perpendicular lines to their equations or slopes.

Asset type: Video
Language: English
Special Needs:

### 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:

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