Visualizing Intersecting Planes

19 July 2017
Students have such a hard time visualizing intersecting planes.  It helps so much if they have something concrete to hold.

I have a giant piece of foam board that I cut in half, and then cut slits in.  A saw works nicely for this :)  

Use foam board to demonstrate intersecting planes in geometry

Check out how awesome this looks once the foam board is stuck together.

Use foam board to demonstrate intersecting planes in geometry

I use my giant foam board to introduce the lesson and talk through the main points.  Once I’m ready to have students start taking notes and dive into specifics, I pass out two notecards to each student.  I have them tear notches into the notecards to show intersecting planes.


Using notecards to model intersecting lines and planes in geometry

Then, I have students stick their pencil through the notecard to show a line intersecting the plane.

Using notecards to model intersecting lines and planes in geometry

After that, I have students put the two planes together and use their pencil as a line.

Using notecards to model intersecting lines and planes in geometry


This works so well to have students visualize things.  Their homework typically involves true and false questions for this lesson, so I have them get out their notecards if they get stuck!

Surface Area and Volume INB Pages

08 July 2017
I wanted to share my interactive notebook pages for my surface area and volume unit!  I like the pages that I used, but I think I will include a few more “drill and kill” pages next year.  Instead of teaching all of the surface area formulas and then all of the volume formulas, I taught all about prisms and then all about pyramids.

First, I started with this messy looking page about the parts of a prism.  I realized at the last minute that my students needed a refresher about parts of solids.  This page only had parts of prisms.  I also had a derivation of the formulas at the bottom of the page.  I cut and pasted the diagrams from my student’s textbook.  

parts of prisms interactive notebook page

Next, we did a flip book with the vocabulary formally introduced and practice problems.  I taught the cylinder as a special case of the prism.  I did not give students a separate formula.  Many of them figured it out, but they didn’t have to use it.

surface area and volume of prisms and cylinders flipbook for geometry interactive notebooks

Next, I did this page about composite volume.  The first problem has students add the volumes and the second problem has students subtract the volumes.

composite volume practice page for geometry interactive notebooks

I did another messy looking page to describe the parts of pyramids.  

parts of pyramids interactive notebook page

Another flip book with the vocabulary and practice problems came next.  Again, I taught the cone as a special case of the pyramid.  

surface area and volume of pyramids and cones flipbook for geometry interactive notebooks

Lastly, I taught the surface area and volume of spheres.

surface area and volume of spheres flipbook for geometry interactive notebooks



Area and Perimeter INB Pages

03 July 2017
I started my area unit with a short review of simplifying radicals and special right triangles.  It’s ALWAYS needed.

The first lesson was about the area of parallelograms and triangles.  They learn these formulas in pre-algebra, but I think they needed a little review and I include special right triangles.  I also have students highlight the perpendicular parts, so that they can find the base and the height easier.  Highlighting helps my struggling kids.

area of parallelograms and triangles foldable for geometry interactive notebooks

area of parallelograms and triangles foldable for geometry interactive notebooks

The next day, we talked about the area of rhombuses, kites, and trapezoids.  The examples in the flip book include special right triangles and the Pythagorean Theorem.

area of rhombuses, kites, and trapezoids flipbook for geometry interactive notebooks

I also have a foldable that students can use to help organize the area formulas.  I made it optional for students to complete this foldable.  I also included notes about regular polygons.  I just had them take notes in their notebook for those pages.  No pictures, sorry.  :(

Then, we moved on to circles.  The first day, we talked about circumference and arc length.  I have a post about how I explain the difference between arc length and arc measure.

circumference and arc length foldable for geometry interactive notebook

The next day, we talked about the area of a circle and the area of a sector.  I didn’t do segment area with my kids this year.  They struggled with the area of a sector and I didn’t want to create a disaster.  I was allowed to leave out a few little topics this year because our math standards were being revised this school year.

area of a circle and sector area foldable for geometry interactive notebooks

The last lesson of the unit was perimeter and area of similar figures.  I broke it down as simple as possible.  On the flaps of the foldable were the different types of problems.  Inside each flap there are two practice problems.

perimeter and area of similar figures foldable for geometry interactive notebooks



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