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21st May

21st May: Resources for Periodic Functions

Learning Outcomes

Leaving Certificate Higher Level
 
– graph the trigonometric functions sine, cosine, tangent
– graph trigonometric functions of type

– solve trigonometric equations such as Sin nθ=0 and Cos nθ= ½             giving all solutions
– use the radian measure of angles
– interpret equations of the form  f(x) = g(x) …..

Introduction
Activities
Geogebra Files and Associated Worksheets

Introduction

The Unit Circle

https://www.projectmaths.ie/documents/T&L/TheUnitCircle.pdf?strand Added: 28 Apr 2020 Contributor: PDST Resource type: Guide/notes / Lesson Plan

Teaching and learning plan for teaching the unit circle and exploring it's relationship with the trigonometric ratios.

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Strand: 2. Geometry & Trigonometry

Strand unit: 3. Trigonometry

Suggestions for use: This teaching and learning plan includes lesson ideas, student activities and much more on teaching the unit circle in trigonometry.

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Language: English
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Trigonometric Functions

https://www.scoilnet.ieuploads/resources/33094/32838.pptx Added: 19 May 2020 Contributor: PDST Resource type: Presentation

Powerpoint version of a Teaching and learning plan for teaching the unit circle and exploring its relationship with the trigonometric functions.

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Strand: 2. Geometry & Trigonometry

Strand unit: 3. Trigonometry

Suggestions for use: Can be used to introduce periodic trigonometric functions through the unit circle

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Trigonometry - PhET

https://phet.colorado.edu/sims/html/trig-tour/latest/trig-tour_en.html Added: 03 Jul 2018 Contributor: Scoilnet Resource type: Simulation / Tool

Introduce students to radians and degrees of a circle using this interactive PhET stimulation. Students can change the value for theta to observe the graphs of sin, cos and tangent.

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Strand: 2. Geometry & Trigonometry

Strand unit: 3. Trigonometry

Suggestions for use: Use the simulation to encourage students to discuss and interact with the tool in class.

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Activities

Exploring Trigonometric Graphs

https://www.scoilnet.ieuploads/resources/33095/32839.pdf Added: 19 May 2020 Contributor: PDST Resource type:

A selection of contextual applications, activities and questions related to trigonometric graphs

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Strand: 2. Geometry & Trigonometry

Strand unit: 3. Trigonometry

Suggestions for use: Activities are a good way of checking students' understanding of the key features of periodic functions. There is an interesting selection of questions, including some suitably challenging questions for higher level senior cycle students.

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Geogebra Files and Associated Worksheets

Periodic Functions Student Activity

https://www.scoilnet.ieuploads/resources/33116/32860.docx Added: 21 May 2020 Contributor: PDST Resource type: Help Sheets / Activity

A geogebra based activity to assess and reinforce student understanding of periodic functions with associated help on how to use geogebra for this task. This activity is taken from a 2018 PDST workshop.

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Strand: 2. Geometry & Trigonometry

Strand unit: 3. Trigonometry

Suggestions for use: This would be suitable for students once they have some understanding of the unit circle and basic sin/cos functions.

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Language: English
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Sin, Cos & the Unit Circle

https://www.geogebra.org/material/show/id/OIlU2Tf1 Added: 28 Apr 2020 Contributor: PDST Resource type: Demonstration / Simulation / Tool

GeoGebra file to help students to understand the relationship between the unit circle and the sin and cos functions.

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Strand: 2. Geometry & Trigonometry

Strand unit: 3. Trigonometry

Suggestions for use: Use this file to learn about the unit circle and its relationship to the sine function and cosine function

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Sin & Cos functions

https://www.geogebra.org/material/show/id/NhCLzpKa Added: 28 Apr 2020 Contributor: PDST Resource type: Demonstration / Simulation / Tool

GeoGebra file to explore the relationship between the Sin and Cos functions.

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Strand: 2. Geometry & Trigonometry

Strand unit: 3. Trigonometry

Suggestions for use: Allow students to explore the relationship between trigonometric functions.

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Tan functions

https://www.geogebra.org/material/show/id/c8jGZrz4 Added: 28 Apr 2020 Contributor: PDST Resource type: Demonstration / Simulation / Tool

GeoGebra file to explore the Tan function.

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Strand: 2. Geometry & Trigonometry

Strand unit: 3. Trigonometry

Suggestions for use: Learn about the Tan function.

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