Students have covered linear functions in 8th grade however it is a key part of the Math 1 curriculum. In Math 1 students are responsible for interpreting linear functions and comparing linear functions to quadratic & exponential functions. Even though it was thoroughly covered last year, students still need quite an extensive review.
We then jumped into sequences, as students in Math 1 must be familiar with arithmetic and geometric sequences and writing equations in Now-Next form and function notation. I decided to cover both types at one time simply because we had already discussed (briefly in unit 1) exponential functions and it flowed well together.
We started with the green cards and students had to fill in the next three terms and come up with a pattern; we then matched the sequences to a graphs. Afterwards, we formally went over the recursive and explicit formulas and they wrote the corresponding equations for each sequence. The equation notes were also adapted from Sarah Carter at MathEqualsLove.
After sequences, we jumped into formalizing linear functions by discussing slope.
The types of slope foldable is from Jessie Hester at Mrs .Hester's Classroom. On the inside we included a visual of Slope Dude's path.
Then we discussed y-intercept and putting the slope and y-intercept together to write the linear equation in function notation. We used color with a purpose on these notes so that students could refer back to the slope and the y-intercept individually.
Then we discussed various forms of linear functions including: horizontal & vertical lines, slope-intercept form, and standard form. This foldable was inspired by Sarah Carter at MathEqualsLove.
We then went over multiple representations of linear functions. Students were given four problems each with a given representation then they had to create the other representations. This semester my page only has the blank problems as I spent my time working with groups on these problems and I didn't go back and fill in the page. However, I have pictures of this page from last semester.
To end the first half of the linear unit, we covered parallel & perpendicular lines and their equations. We started by discussing where parallel and perpendicular lines appear in real life (and the most creative response was rewarded with a Starburst) then we moved onto the algebra.
If you would like the files to any of the documents I've created I'll be glad to share. :)