# Linear Equations Investigation, Year 9 Maths 2018 - Year 9 - Report

1138 words - 5 pages

Part A
Getting started with Geogebra
Step 1
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
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.
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
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.
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 s...

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