Functions, Tables, and Graphs INB Pages

26 June 2017
I used these interactive notebook pages during my functions unit in Algebra 1.  It built on my student's previous knowledge, which I loved!

There are three main parts on the notebook page.

three views of a function foldable  {function rule, table, and graph} for algebra 1 interactive notebooks

First, I reminded students of the definition of the words "discrete" and "continuous".  They learned these words in Pre-Algebra and in science class.  However, I wanted to make sure they were in their notes.  Then, we completed a foldable relating an equation, table, and a graph.  I also had students label key features of a graph.

After we completed the different parts of the notes page, I had students practice with a partner on a practice page.  I copied the page at 80% so it would fit in their notebook.  I could have left it full sized and used it as homework though.

three views of a function practice page  {function rule, table, and graph} for algebra 1 interactive notebooks

This is what the pages look like as a "spread".  I like to plan pages as a two page spread, like a newspaper.  :)  To keep my students interested, I copied everything on different colors and I let them choose what colors they wanted.  Honestly, I dropped a stack of colored paper on the way to the copier, so I made it work ;)

three views of a function foldable  {function rule, table, and graph} for algebra 1 interactive notebooks

You can find the foldable and practice page here.

Arc Length vs. Arc Measure

18 June 2017
Students always seem to get confused about the difference between the length of an arc and the measure of an arc.  When I teach this concept, I try to relate it to sports.  The vast majority of the kids in my class have run around the track at some point.  So I start asking them questions. :)

If you have to run one lap around the track which lane do you want to run in?
The inside one!

It's shorter!

The circle is smaller.

Interesting...  You have still run one lap though.  All the way around the circle would be 360 degrees.  So, it should be the same distance.  If you run the outside lane, that's the same distance as the inside lane.
[At this point, controlled chaos ensues.  Most of the athletes become indignant.]

Then, I tell them that the measure of an arc is the degree measure.  The length of the arc is the actual distance you would have to run.  Most of them get it by this point.

arc length and arc measure cheat sheet for interactive notebooks - free download

I made a handy little "cheat sheet" for students to glue in their notebooks.

Coordinate Quadrilaterals INB Pages

14 June 2017
Instead of teaching coordinate quadrilaterals throughout the quadrilaterals unit, like I normally do, I taught it all together.  It worked.  I don’t know if it was better or worse than doing it throughout.  

The first day, I only taught about proving a quadrilateral is a parallelogram.  Before I started the lesson, I gave all of my students a sticky note and had them find the formulas for midpoint, slope, and distance and write them down.  They stuck it on their desk and referred to it during the lesson.

I felt super fancy with the foldable I used for this lesson… partly because I used an “I can…” statement on the foldable, and partly because I used a shutter fold, but kept one flap up.  I also feel like the way I have a flap for each formula takes any guess work out for the students.  Under each flap, we worked the example, using that method.  So, when my students had their homework they could mimic the work under the flap.

coordinate geometry with parallelograms - foldable

On the facing page, I gave students a scrap of graph paper.  I gave them the four points in the margin and had them draw the graph.  The worked with their partners to prove it was a parallelogram using all three methods.  I honestly didn’t have to use the graph, but I think it helps them visualize things better.

interactive notebook page idea for parallelograms on the coordinate plane

The second day, I taught students how to determine the type of quadrilateral, using coordinate geometry.  Some of these problems take up so much room (if you want things to be organized), so I used a giant hamburger book.  There were three problems in this book.  It took almost the whole class period to work the three problems - that could be because my students worked slow.

interactive notebook page idea for quadrilaterals on the coordinate plane - free download

interactive notebook page idea for quadrilaterals on the coordinate plane - free download

The third day, I had my students do a stations maze to practice their coordinate geometry.  They worked on it the whole class period.

I haven’t decided if I will teach it all together again next year, or if I will do a little at a time throughout the unit.  Good thing I have time to decide!

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