Friday, December 18, 2015

Activity: Jeopardy! (Day 75)

I know, it seems as if last year I came up with many different types of activities, but this year I keep going back to my old standbys of Euclid: The Game and Jeopardy. I keep playing Euclid because there are so many constructions spread throughout the first semester under Common Core, and it's fun to make the constructions into a game.

And I return to Jeopardy because I sub so often at the continuation school that plays Jeopardy nearly every week, on Friday. Actually, last week I subbed in a science class that was to play Jeopardy the day after I subbed there, to prepare for a test that would be given the day after that.

But this week on the blog, the timing of this Jeopardy game is a bit off. This blog just gave a test, so there's no reason to review for a test. It's just an activity to do at the end of the week just before the long winter break. Of the categories, the first two are Monday's and Tuesday's lesson. The third is actually what the continuation students did for math today -- practice the Linear Pair and Vertical Angle Theorems. (For classes following this blog, this category should be easy -- just think of it as a holiday treat.) The last category is based on questions that appeared on the test.

By the way, in class today I helped the students with the Linear Pair Theorem by making them think about money. So instead of thinking, "What is the measure of an angle that forms a linear pair with a 60-degree angle?" I say, "Suppose the two of us want to buy a pair of shoes that costs $180. If you pay $60, how much more must I pay so that we can afford the shoes?" This causes the students to realize that we shouldn't be adding 180 and 60, but rather subtracting them, since if they have some of the money, I should have to pay less than $180, not more.

Just like the last time we played Jeopardy back in October, I don't post a worksheet -- it's much better to write each clue on a post-it and set up Jeopardy on the board. (The science teacher I subbed for last week had a special wooden board set up for Jeopardy!)

Here are the questions. Notice that I write in words here on the blog, things that are much better drawn as pictures on the game post-its.

Midpoint Connector Theorem
100. In triangle ABCD, E are midpoints of AB and AC. BC and DE are this type of line. (parallel)
200. In triangle ABCDE are midpoints of AB and AC. DE is this fraction of BC. (half)
300. In triangle ABCDE are midpoints of AB and AC. If BC = 8, this is DE. (4)
400. In triangle ABCDE are midpoints of AB and AC. If DE = 14, this is BC. (14)
500. In rectangle RECT, Y, D are midpoints of RE and EC. If RC = 58, this is YD. (29)

Uniqueness & Euclid's Postulates
100. According to Euclid's 1st postulate, two points lie on a unique one of these. (line)
200. According to Euclid's 2nd postulate, a line may be extended this far. (indefinitely)
300. According to Euclid's 3rd postulate, we may use this tool to draw circles. (compass)
400. This is the unique perpendicular though a vertex of a triangle. (altitude)
500. Euclid came up with this many postulates in his geometry. (5)

Linear Pair and Vertical Angle Theorems
100. This is the measure of an angle vertical to a 118-degree angle. (118)
200. This is the measure of an angle forming a linear pair with a 60-degree angle. (120)
300. This is the measure of an angle forming a linear pair with a 42-degree angle. (138)
400. This is the measure of an angle forming a linear pair with a 58-degree angle. (122)
500. This is the measure of an angle vertical to a 129-degree angle. (129)

Name the Transformation
100. A reflected in m is A', A' reflected in n is A". If m | | n, this maps A to A". (translation)
200. A reflected in m is A'A' reflected in n is A". Unless m | | n, this maps A to A". (rotation)
300. A reflected in m is A'A' reflected in n is A". If m  |  n, this degree rotation maps A to A". (180)
400. This transformation maps the letter "d" to the letter "p". (rotation)
500. This transformation maps the letter "d" to the letter "q". (glide reflection)

Final Jeopardy
(Set up a miniature golf game like the one on the Day 64 worksheet.)
This is how to get the ball from point B to the hole at H. (bounce the ball off of two walls)

Thus ends this post and marks the beginning of winter break. I plan on making three special posts during Christmas vacation, and then Day 76 will be posted on Monday, January 4th, 2016.

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