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. :)

Hello. My name is Shannon Monteiro and I'm a math teacher at Lee Senior High School in Lee County, NC. I am interested in the PDF's for the interactive notebook. Would it be possible for you to send them to me? Thank you!

ReplyDeleteI'm sorry, I forgot to give you my email address: smonteiro.ls@lee.k12.nc.us

DeleteHi! My name is Cathy Boutin and I'm a math teacher in RI. Would you be willing to share your linear functions unit with me? My email address is cboutin@westwarwickpublicschools.com. Thank you!!

ReplyDeleteHello! I LOVE your blog! I am a math tutor and would love to have the Linear Function Unit (both Part 1 & Part 2) Files please! This is spot on for my struggling student! Thank you SO very much!! My email address: BelieveSuccessNow@gmail.com. Thanks again!

ReplyDeleteHI I was wondering if you mind sharing your foldables for multiple represenations? The Running, Photos, Rectangles and Gasoline foldables? If you could sent them to emb1390@yahoo.com that would be AMAZING!!

ReplyDelete