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Robin Nagy - MANSW Conference 2016
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1. Introduction
- Nagy's Geogebra Crib Sheet
- MANSW Presentation Slides
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2. Navigating by the Southern Cross
- Navigating by the Southern Cross
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3. Transformation of Functions
- Transformation of Functions Assignment
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4. Reflection and Rotation
- Reflection and Rotation Activity - MANSW 2016 Conference
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5. Enlargement
- Enlargement Activity for MANSW Conference 2016
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6. Limiting Sums - introducing Integral Calculus
- Limiting Sums - The Squeeze Theorem
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7. Centres of a Triangle and the Euler Line
- Centres of a Triangle and the Euler Line
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8. Introduction to Differential Calculus
- Introduction to Calculus
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Robin Nagy - MANSW Conference 2016
Robin Nagy, Sep 12, 2016
This book contains all the worksheets and files used as activities in my MANSW Conference session on Sunday 18th September 2016
Table of Contents
- Introduction
- Nagy's Geogebra Crib Sheet
- MANSW Presentation Slides
- Navigating by the Southern Cross
- Navigating by the Southern Cross
- Transformation of Functions
- Transformation of Functions Assignment
- Reflection and Rotation
- Reflection and Rotation Activity - MANSW 2016 Conference
- Enlargement
- Enlargement Activity for MANSW Conference 2016
- Limiting Sums - introducing Integral Calculus
- Limiting Sums - The Squeeze Theorem
- Centres of a Triangle and the Euler Line
- Centres of a Triangle and the Euler Line
- Introduction to Differential Calculus
- Introduction to Calculus
Nagy's Geogebra Crib Sheet
Nagy's Geogebra Crib Sheet
Navigating by the Southern Cross
Print out the three different Geogebra Activity files and, using only a compass and straight edge, find out where South is on the horizon. You will need to be able to construct perpendicular bisectors and to be able to drop a perpendicular from a point to a line.
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1. Navigating by the Southern Cross
Navigating by the Southern Cross
To find South with the Southern Cross and Pointer Stars - you will need a compass and straight edge.
Print out each of the three Geogebra Files below on separate pieces of paper.
1. Draw a line through the long diagonal of the Southern Cross.
2. Construct the perpendicular bisector of the pointer stars.
3. Where these two lines meet, mark the intersection point 'X'.
4. Construct a perpendicular line from X to the horizon.
5. Mark the point 'S' where this perpendicular joins the horizon. This is South.
Southern Cross Activity 1 (see below for the solution)
Southern Cross Activity 2 (see below for the solution)
Southern Cross Activity 3 (see below for the solution)
SOLUTION to Southern Cross Activity 1 (print out and overlay on your work - hold it up to a window to see how accurate your construction is)
SOLUTION to Southern Cross Activity 2 (print out and overlay on your work - hold it up to a window to see how accurate your construction is)
SOLUTION to Southern Cross Activity 3 (print out and overlay on your work - hold it up to a window to see how accurate your construction is)
Transformation of Functions Assignment
Transformation of Functions Assignment
Download the pdf Assignment below and ask students to complete. The solutions are also downloadable below that, and a summary transformations of functions Geogebra file.
Transformation of Functions Assignment
This Geogebra file allows you to look at different functions (select left hand side buttons or type in your own into the input box) and how the transformations effect the original function (select from the right hand side tick-boxes)
Transformation of Functions - Solutions
Reflection and Rotation Activity - MANSW 2016 Conference
Reflections and Rotation Activity
Download the pdf instructions below and follow the worksheet. The different stages of the activity are illustrated by the Geogebra files below.
Geogebra Transformations Worksheet 1 Reflection and Rotation
Stage 1 showing reflections
Stage 2 - showing rotation
Stage 1 - showing reflections
Stage 1b - showing double reflection - where is the centre of rotation?
Stage 2 - showing rotation
Enlargement Activity for MANSW Conference 2016
Enlargement Activity
Download the pdf activity below and follow the instructions. The stages of the worksheet are illustrated by the Geogebra files which follow.
Geogebra Transformations Worksheet 2 Enlargement
Enlargement - showing first stage of worksheet activity
Enlargement - showing final stage of worksheet
Limiting Sums - The Squeeze Theorem
Limiting Sums Worksheet - adapted from GeoGebra Manual (Creating Dynamic Worksheets page 2/6)
The following Geogebra file is the final output of the worksheet
Centres of a Triangle and the Euler Line
This activity is an investigation into four well-known centres of a triangle: the incentre, circumcentre, orthocentre and centroid, three of which form the Euler line. The worksheet allows you to discover the attributes of each centre and which three form the Euler line.
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1. Centres of a Triangle and the Euler Line
Centres of a Triangle and the Euler Line
Centres of a Triangle Investigation
In this investigation, you will follow the instructions below to discover the attributes of four well-known centres of a triangle (the incentre, circumcentre, orthocentre and centroid) and find out that three of them always form a straight line (known as the Euler line). Download the pdf which follows and follow the instructions. If you get stuck, two versions of the final Geogebra files are produced below.
Geogebra Centres of a Triangle and the Euler Line
Centres of a Triangle and the Euler Line - final Geogebra file example 1
Centres of a Triangle and the Euler Line - final Geogebra file example 2
Introduction to Calculus
Investigating Gradients of Tangents as the Limit of Gradients of Chords
Download the pdf worksheet below and follow all instructions to create a Geogebra file which will enable you to investigate the gradient of a tangent as the limiting value of the gradient of a chord.
Examples of final Geogebra files are shown below.
Geogebra Introduction to Differential Calculus
Finished Geogebra file - example 1
Finished Geogebra file - example 2
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