Investigating Linear Functions WORKSHEET
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.
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This investigating linear functions worksheet is designed for students in Algebra I and IM 1 and aligns with Common Core State Standards.