linear

Linear and Non-Linear Graphs

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Geogebra Interactive

Victorian Curriculum Link: “Plot graphs of non-linear real life data with and without the use of digital technologies, and interpret and analyse these graphs.” (VCMNA285)

Only one of the containers in this activity shows a constant increase in height of liquid over time. So, only one of the relationships between height of liquid and time is a linear relationship. Which container is it?

This is a useful worksheet to start recognising the relationship between everyday situations and graphs. Which graph is which?

Dan Meyers has some great resources for learning about non-linear graphs too: Graphing Stories is a series of short videos that can be used to demonstrate various non-linear relationships. Here is a student worksheet you can use with the GraphingStories.pdf

More Graphing Stories here.

Matemagi has some more great graphing story videos.

Sketching Linear Graphs

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Miss Tara Richardson has produced another video “Sketching Linear Graphs” – her blog is at “My Blog”

Learning Intention:
Students will learn how to sketch linear graphs.
Success Criteria:
There are three different methods you can use to draw a linear graph
1. You can identify the y-intercept and gradient (rise over run) from an equation.
2. You can substitute values into an equation to find at least two co-ordinates.
3. You can use the intercept method to plot two points on the x and y axis. Plot the graph by substituting x=0 (the y-intercept) into the equation as the first point and substitute y=0 into the equation to find the second point.
Tell me which method you prefer to use and why?

Calculating Gradient on YouTube!

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Learning Intention:
Students will understand how to calculate the gradient of a straight line using three different methods.
Success Criteria:
You will be able to calculate the gradient of a line when given the linear equation, the graph or two sets of co-ordinates on the line.

Over the next five weeks, Miss Tara Richardson will be taking your Maths and Science classes as part of her teaching rounds in her final year of a Graduate Diploma of Education. She has created these great videos for YouTube to assist your learning about linear equations. Do they help you to understand gradient and y-intercepts and equations? Let her know what you think about them by clicking on the ‘like’ or ‘dislike’ buttons.