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Investigating Linear Functions WORKSHEET
Suitable for Grades: Algebra I, IM 1
CCSS: 8.F.B.4, HSF.IF.B.4
CCSS Description: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.
Investigating Linear Functions WORKSHEET DESCRIPTION
This worksheet encourages students to utilize graphing software such as desmos in order to investigate the y intercepts and slopes of linear functions. Broken down into three sections, learners will take a look at slopes and y intercepts separately before considering equations in form y = mx + b.
Students will make use of ‘sliders’ throughout their investigation, as well as using the software to generate tables of values.
By the end of their investigation, students will recognize the effect m and b have on y = mx + b including fractional and negative values, be able to complete a table of values using equations, and state the equations of lines from a table of values.
