"In a completely rational society, the best of us would aspire to be teachers and the rest of us would have to settle for something less, because passing civilization along from one generation to the next ought to be the highest honor and highest responsibility anyone could have." ~ Lee Iacocca ~

ESA Symposium June 8, 2011 Cindy Kroon Montrose High School

"Everything that can be counted does not necessarily count; everything that counts cannot necessarily be counted." — Albert Einstein

Handouts and PowerPoint are on the ESS 2011 wiki! Sessions Sessions

"Geometry enlightens the mind and sets one's mind straight...The mind that turns regularly to geometry is unlikely to fall into error." ~The Muqaddimah of Ibn Khaldun, 14th Century Islamic historical work

Polygons with String! To review names and properties of polygons Divide students into groups of 4 or 5. Give each group a 7-8 foot length of string, tied into a circle Instruct the students to form polygons. Be sure to include some “impossible polygons.”

Angles with Plates Use 2 or 3 different colored plastic dessert plates for each unit. Cut a slit from center to edge (along the radius) of 2 plates. Overlap the plates at the slits. Have students demonstrate angles that you designate. Add a third plate. You can now form combination angle pairs!

Geometry Pictionary (2 teams, 2-4 players per team) Use to review geometry terms and vocabulary. Object of the game: Be the first person to correctly identify a secret geometry symbol, term, or definition. Each “drawer” tries to get his/her teammates to identify the secret geometry term or definition within a one minute time limit. You may not use any symbols, letters, or numbers. You may draw and gesture, no speaking. The first team to correctly identify the term scores one point. If neither team identifies the term before time expires, the drawers reveal it, then rotate drawers and continue with a different term. In the case of a tie, a rematch is played with a new term. The role of drawer rotates among team members after each term.

Geometry Origami Vocabulary: Square Segment Point Parallel Midpoint Diagonal

Roll two dice. These are the legs of a right triangle. Compute the length of the hypotenuse. Round to one digit and move that many spaces on the game board. Spaces with ?? require a player to answer a question from the ?? cards. If answer is correct, player rolls one die for a bonus roll. If incorrect, player’s turn is over. Upon reaching the “finish” space, a player must correctly answer a ?? card to win the game.

Triangle Puzzles

Area Tiles Some students memorize formulas They don’t own the concept (even in high school) They think they know, but they don’t How can we help them?

Circle Formulas (Are You Sleeping?) A equals Pi R 2 Area, Area C equals Pi times diameter, Circumference, Circumference!

Slope (Turkey in the Straw) Slope is rise over run as we all know. With the Y’s on the top and the X’s below. Subtract the terms to get it right. Simplify last for a wonderful sight. (Chorus) Rise over run, Y’s over X. Subtract the terms to get it right. Simplify last for a wonderful sight! (repeat)

Quadrilateral Dominoes 2-3 players: Reviews properties of quadrilaterals Object of the game: be the first to play all of your tiles. Students shuffle dominoes face-down. Each student draws 5 tiles. The remaining tiles form the “boneyard.” Place one tile face-up on the table. Player #1 plays a tile from his hand that matches either end of the face-up tile. If unable to play, he must draw one tile from the boneyard. If this tile is playable, he may play it. Otherwise play passes to the next player. Play alternates until one player is out of tiles, or play is blocked.

Y = mx + b (YMCA) Students, we need to graph a straight line. I said, students, we will have a great time. I said, students there’s no reason to whine. There’s no need to be unhappy… It’s fun to graph y = mx + b y = mx+ b It makes a straight line and it’ll be fine You can even find the slo-ope! (repeat)

Mono- -ly The student whose birthday is closest to Pi Day (3/14) plays first. After that, play passes to the left. Roll two dice. The sum of these two numbers is the circumference of a circle. Calculate the diameter of the circle. (Use 3.14 for pi.) If your answer is correct, round to the nearest unit and move that many spaces. If incorrect, you lose your turn. Follow the directions on the space that you land on. More than one player can occupy a space at the same time. If you land on a space with a ?, you must answer a question card. If correct, roll one die and advance that many spaces. If incorrect, stay on the ? Space. Your turn is over. Answer a question on the finish line to win!

Envelope Tetrahedron 1. Open up the flap and use a straight edge to draw the diagonals (AB and CD) of the envelope. 2. Fold (both ways) on the diagonals drawn. 3. Cut along the diagonals from A to the midpoint (M) to C. 4. Use a straight edge to connect M to N, the midpoint of BD. 5. Fold (both ways) along MN. A B C D M N

"The good Christian should beware of mathematicians and all those who make empty prophesies. The danger already exists that mathematicians have made a covenant with the devil to darken the spirit and confine men in the bonds of Hell." ~St. Augustine