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Linear Equations Investigation, Year 9 Maths 2018 Year 9 Report

1138 words - 5 pages

Part A
Getting started with Geogebra
Step 1
Download GeoGebra program from the Mathematics group from the Self Service App onto your ipad.
Step 2
Open Geogebra – you should get a screen on your Ipad that looks like this:
Step 3
Click on ‘Create your own’ Algebra file.
Step 4
Click on the MENU button on the top right hand side of the screen and click on ‘Save’.
NOTE: If you have not used GeoGebra before, you will need to create an account. Use your school email and password to create an account.
Step 5
Save this current file as ‘Linear Equations Task 1’.
Step 6
Close Geogebra.
Step 7
Open Geogebra again and Click on the MENU button on the top right hand side of the screen and click on ‘Open’.
Step 8
Click on the file ‘Linear Equations Task 1’ and choose Edit. Your previous file should open.
Show your teacher this OPENING screen before moving on.
Part B
Working in Geogebra
Task 1
Go to the INPUT line on the left hand side of the screen.
Input all 3 functions below on the same graph.
a.
b.
c.
Show your teacher the 3 graphs and the input line screen before moving on.
Once your teacher has seen your screen with these 3 graphs, save the file again as ‘Linear Equations Task 1’
Screenshot this with the 3 graphs and input lines showing and paste this screenshot in this document in the relevant section.
Answer the following questions:
1. Describe what happens to the graphs as you increased the value in front of ‘’ (this is called the coefficient of ). As the coefficient of X increases, the graph becomes more vertical
2. Predict and describe what the graph of would like when compared to the 3 graphs you have just graphed. The graph of y = 10 would be much closer to vertical to the three other graphs
3. Write a sentence that describes what happens as the coefficient of x increases. When the coefficient of X increases, the gradient will increase
Task 2
Create a new Algebra File on Geogebra.
Go to the input line on the left hand side of the screen.
Input all 3 functions below on the same graph.
NOTE: You need to enter the fractions in the input using the division button.
a.
b.
c.
Show your teacher the 3 graphs and the input line screen before moving on.
Once your teacher has seen your screen with these 3 graphs, save the file as ‘Linear Equations Task 2’
Screenshot this with the 3 graphs and input lines showing and paste this screenshot in this document in the relevant section.
Answer the following questions:
1. Describe what happens to the graphs when the coefficient of ‘’ lies between 0 and 1.
When the coefficient is between 1 and , the graph would be the exact same amount of vertical and horizontal on both quadrants
2. Predict and describe what the graph of would like when compared to the 3 graphs you have just graphed.
If y=1 over 10 X then the gradient will decrease a lot
3. Write a sentence that describes what happens when the coefficient of ‘’ lies between 0 and 1
When the coefficient is between 1 and , the graph would be the exact same...

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