- Mathematics General
- Year 11
Linear graphs and models
approx. 10 hrs
4 topics
20 concepts
Build mastery of modelling linear relations.
approx. 10 hrs
4 topics
20 concepts
Build mastery of modelling linear relations.
Linear graphs and models will equip students with the skills and techniques to graph and interpret linear relations with and without the aid of a graphing calculator. Students will explore the effect of parameters on a linear graph, including piecewise linear graphs. We will help students develop proficiency with processes such as interpolation and extrapolation to conduct data analysis on a range of practical problems.
This learning program is made up of the following 4 topics, broken down into 20 concepts.
Find the equation of a line from two points using a CAS calculator
Construct a linear graph and generate a table of values using a CAS calculator
Finding the x - intercept at y=0
Find the equation of a line given the gradient and the y-intercept
Find the gradient of a line between two points using formulae
Reading the x and y intercept from a graph
Sketch a linear relationship from a table of values on a cartesian plane
Determine the gradient and y-intercept using the gradient-intercept form of a linear relationship
Use the gradient and y-intercept to graph a linear equation
Find the gradient of a line between two points using rise over run
Finding the y - intercept at x=0
Interpret linear models
Construct a linear model
Establish meaning for the gradient and intercepts in a practical context
Interpolation and Extrapolation
Use a line of best fit to make predictions of data sets
Find the equation of a line of best fit
Draw a line of best fit on a scatterplot
Sketch a piecewise linear graph
Use a piecewise linear function to model and solve practical situations
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