Honors Geometry Unit 5-Polygon Properties

Another #MTBoSBlaugustpost!!!

I created a lot of items for this unit last year. Strange because of how busy I was with my AP Calc class, but nonetheless, here you go!

Polygon Angle Conjectures are first up. We begin with an investigation and sum this up with some conjectures. Students have different shapes on the back of the chart. They answer the row according to their shape and walk around to find others who have different shapes.

Kites and Trapezoids are the first quadrilaterals we talk about. Within the notes there is some investigation work we do to complete the conjectures. I do this on patty paper. I made these flip book notes last year.

And the LHS of each is a short reinforcement worksheet. Kite Trapezoid

We first discusses midsegments in the construction unit. Here we continue the discussion with a few conjectures. I don’t have anything exciting for this topic. The students are usually amazed at the triangle conjectures. Yeah, my students are a little nerdy! Most are 8th graders that come to the high school from the middle schools to take the class.

And then there are parallelograms. I made up most of the items, though I got some ideas and worksheets from Mrs. E’s blog. Especially when teaching AP Calc for the first time this year, like I did, other teacher’s ideas and work is so much appreciated!!

I do some coordinate proofs, again some things from Mrs. E. I made this up:

I then do some quadrilateral proofs, mostly for the thinking exercise. I used to do so much more and I think they are great for reinforcing the ideas in the unit but it usually comes at the end of the term. Exams come up and ruin all the fun.

Honors Geometry Unit 4…Triangle Properties

Day 2 of #MTBoSBlaugust!!!

This unit will focus again on what’s in my Interactive Notebook, but there is a proof activity I found from All Things Algebra. Other class activities are done depending on the needs of my students. I’m always chainring things, so who knows if theirs is how my unit will look this year!

The unit begins with a triangle sum activity I found on Math by Tori‘s site. Here are pictures including a proof.

They practice this with a worksheet from Mrs. Newell‘s page and one I created.

This is followed up by Exterior Angle Theorem which uses similar activities from the same sites.

Is it a triangle and Triangle Inequality activities are next. Students use snap together sticks (AngLegs) and this worksheet I think I found on Misscalcul8’s page a while ago to investigate what makes a triangle and I sum the activities up in notes from Mrs. Newell.

Finally, we get to congruent triangles, starting with a review of how we know things are congruent… the spacing may need to be adjusted.

Many activities to reinforce the shortcuts. Notes from Mrs. Newell

A cut and paste activity from TpT

And practice

Finally, proofs! Mrs. E and Mrs. Newell have a lot of proof tips for students on their sites.


Thanks for reading!

Honors Geometry Unit 3- Tools of Geometry

Today is August 1st…and a girl from work posted on FB “August 1st is the worst”. It can mean thinking about work again, and working is worse than playing! But August 1st also means #Blaugust!

Unit 3 in Geometry means Constructions! I love constructions, though not all kids tend to feel that same love. It seems that less and less emphasis is put on constructions since no standardized tests ask students about them, but I think a lot of learning and investigating can be done with just the basics.

The first page in my notebook is a Basic Constructions instruction booklet I found from Crazy Math Teacher Lady.

I use this throughout the first few days of the unit, introducing each separately and giving the students practice time.

I use compasses and patty paper.

Segment/perpendicular bisectors lead to a couple of conjectures (Theorems the students discover) and some other vocabulary.

I’ll try to remember to post some links to these when I get into school. I don’t have them in my Dropbox right now.

Altitude is another use for perpendicular lines. (The link is .docx, so the font and spacing may be a little off. Sorry!)

This gives us skills to construct squares and rectangles too.

The last construction skill that is important to me is angle bisectors.

I did constructing parallel lines by duplicating angles last year, but am struggling with the necessity. It does reinforce what we learned last chapter. I still have to give that more thought.

I wrap the unit up with Points of Concurrency. This is my page from last year…

I read a post today that may have me rethink the end to my unit. Give Me a Sine has an awesome PBL project I’m thinking of adapting to my class. Students need to answer the question “where should the grocery store be built?” to help people in “food deserts” (watch the video).

I want to find some constructions activities for classroom practice. Homework didn’t work well this chapter especially if the students did not fully understand what they were supposed to do at first.

Unit One – Limits, AP Calc

I made it through a year of AP! Well, pretty much. My students were successful, but time to change up a few things for next year.

I started to go through my INB to see what kind of changes could better help my students. Also, I’m considering how I could incorporate other activities to reinforce what I’m teaching. This is how my unit starts:

I typed up a table of contents for them to show the Learning Objectives from the AP curriculum. I’ll take a picture of the next couple of pages, but I’m changing them up a bit.

Here is a link to the modified file for limits graphically and numerically. The delta-epsilon definition is not something I spend a lot of time on but I do talk about with my class. I’m putting that on its own page this year.

Last year I used a lot of the notes I already had from regular Calculus.

I’m changing it up a bit…making it more about content than a cute note sheet.

And properties.

Next, continuity. I found some good notes on Teachers Pay Teachers.

Onto Intermediate Value Theorem. This is important, but not too big of a challenge for my group as we talk about it in Precalculus.

This google site has been helpful to me in organizing my thoughts after a year.

Limits at Infinity wrap the chapter up.

This year, I’m hoping to give my students more opportunities to see AP questions (or AP-like). I want not knowing how to start right away to become no big deal by May. That’s tough for these kids because they’re so used to knowing, or feeling like they should know!

Unit Two Logic Honors Geometry

I want to say first and foremost, many of my ideas and inspirations for this unit came from a couple fantastic blogs. First, Mrs. E Teaches Math, and also Meg Craig! Thank you for sharing what you do with all of us! Many of the pictures you see here are because of their creations. Teaching is a lot of inspiration from others. #MTBOS on Twitter is a great start if you haven’t found it yet!

First a little Inductive Reasoning

Then logic vocabulary.

Deductive Reasoning is next.

Here are my deductive reasoning notes.

Next we investigate about angle pairs and do a little introductory proofs. I am thinking of making these proofs a little simpler, as I have a lot of 8th graders in this class and they’re not always ready for this many steps.

The Linear Pair/ Vertical Angles investigation can be found here.

Finally, I wrap the chapter up with some Parallel Lines work and a little more proof.

There are many cut and paste proof activities out there. I find these best to get the students to think about a logical order. They are not going to be perfect at Geometric proof at first. It takes work!

Unit One Honors Geometry

It has been a while since I have blogged (at all), but specifically about Honors Geometry. Some have asked about my INB pages recently, so this is probably the most efficient way to share! I use so much from others helpful sites too. Hopefully I am able to link you to their sites as well, accurately!

Our first unit is the language of Geometry and getting the students to write definitions precisely. Some pages are similar to ones I have used in the past. We start with the basics…

Link here

I don’t have the link to the above notes right now. Sorry!

I also do an activity similar to the one here, except I laminated and students work together to complete.

Next, my students review some Algebra with segments on papers I got from Mrs. Newell’s site. And I made up a practice paper.

Here is the file.

We then move on to Angles. Again, I modified some ideas from Mrs. Newell (angle pairs) and made up some work myself.

Next, polygons and triangles.

The right side of triangles I found on Mrs. E’s site. The LHS is mine.

More definitions, this time polygons.

And finally, a lot of circle definitions from Mrs. Newell.

That’s unit one! Unit Two is another mix from many sources. Maybe I’ll get a chance to go through it soon!

#MTBoSBlogsplosion Round #3

Better late than never, right?! I read the prompt for this week’s Exploring the MathTwitterBlogosphere and thought…who is spying on me? Has the MTBoS found a way to get in my mind?! Next week, I will start teaching Honors Trigonometry for the first time in 2 years. I was looking over my old Interactive Notebook and realized I had only used the INB idea once for honors trigonometry, so some of the pages could use a makeover. Off to Pinterest I go! My colleague and I share a Trigonometry page so I wanted to see what was there.
A few minutes on Pinterest led me to Sarah’s Math = Love site and Shireen’s Math Teacher Mambo blog! Great blogs, if you have never been! They both have fabulous ideas for my beginning Trigonometry unit. The pages I used the first time teaching this course with an INB are not bad, but I like to spice things up with some fresh ideas.

The first unit in trig consists of a lot of angle basics necessary for the rest of trig. First, I saved an idea from the agony and dx/dt‘s page to explore what a radian is. I have done this activity before, or one similar…with string. How boring is string when you can use candy!!!!

Twizzler’s Pull and Peel to be exact. I love using food whenever I can, and don’t know why I didn’t think of that! I will probably do something like Sarah’s pipe cleaner idea when transferring the lesson to their notebooks, candy doesn’t last on paper.

Instead of my boring sketching angles pages, I am going to use the cool page Sarah created. I even get to use a fastener so the angle rotates in the notebook! Oh boy oh boy oh boy!

What drew me to Math=Love’s trig page was her Coterminal Angles Sort. So that will be next in my notebook.

The coolest thing ever in getting students to understand reference triangles and special angles though might be from Math Teacher Mambo, and I am so excited to give it a try and see if my students think as highly of it as I do! I love how colorful this all is…and I especially like doing something that helps with student’s understanding of fractions.

That is as far as my thoughts have gone considering I am not yet done with this semester and have some planning yet to do with my current classes. The MTBoS is so helpful and I love that these teachers have provided links to the handouts. Things I create will too be uploaded here…as the unit goes. It is so tough to choose just one thing to write about as far as the usefulness of this community, I utilize so many great ideas every day and try to make them my own. Please know I appreciate all of your blogs so much for inspiring me. Thank you for sharing your ideas!!