Collaborative Activities. FREE Sample Pack!

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1 Collaborative Activities FREE Sample Pack! Favorites from Students of all levels Grades 9-12

2 Feedback from Students: From end of the year surveys: What is one thing you thought I did well in this class? You played games in order for us to understand it. You made the class fun. You taught us all algebra while still having fun all the time. Every fun game was still teaching us how to do this or that, it was just so helpful I think playing bingo or tic tac toe were great ideas to memorize math problems in our head. I really like doing games, it helped me a lot. The way you had fun activities that help a lot and in a fun way, like for example tic tac toe, bingo, and all the rest of the fun stuff Looking at my teaching style, is there anything I should definitely keep doing? More games like bingo, Find Someone Who, etc Continue playing the games that made learning math more fun

3 Activities By Course: Algebra 1 FREE! Find Someone Who: Solving linear equations in one variable ( multi-step equations) Items below are available in Sample Pack #1 for purchase: Papeles: Graphing from Slope-Intercept form Card Exchange: Solving systems of linear equations Quiz to Perfection: Exponents Four Graphs: Quadratic Functions (Parabolas) Geometry FREE Each One, Teach One: Triangle Inequality Theorem Algebra 2 & Pre-Calculus FREE Tic Tac Toe: Finding Inverse Functions Items below are available in Sample Pack #1 for purchase: Bingo: Finite & Infinite Geometric Series Card Exchange: Solving systems of linear equations Four Graphs: Ellipses! Papeles: Ellipses Hope you enjoy using these activities! Reclaim your precious free time and support my students by picking up a few more, organized by course & common core standard!

4 Things to keep in Mind: $ Just try it! (And more than once!) they may not run perfectly the first time, but once you find a way to fit them into your style, they will become a major component of your classroom! $ Use any problems you like, take into consideration the difficulty and length. $ Great for ANY level of class, from middle school through Pre-Calculus (or even AP Calculus!) $ Students need to be taught how to work together and have guidelines to their discussions. Reflection/Closure with Students: $ Something I liked was... $ Something new I learned was... $ Something I want to know more about is... Instructions: Find Someone Who Inspired by the Kagan activity, with somewhat different instructions. Preparation $ Make copies of the worksheet for each student Instructions $ Students find a partner to work on a problem with $ The partners work on the same problem together, doing the work on their own piece of paper. $ They then explain their work to their partners and check each other s work. Encourage them to make sure their partner truly understands and is not faking it. $ Partners sign each others paper, thank each other, then find a new partner to work with. $ Teachers should circulate as they work and help as necessary.

5 Each One, Teach One Preparation $ Make copies of the worksheet for each student. Instructions $ Students should work in a group of 4 to begin with. Assign one of the problems to each group. They should work it out together. Remind the students that it is ESSENTIAL that every single student in the group fully understands at least that one problem they will be teaching it to others! $ The group should then split up and find a partner (you can use a musical chairs-like movement for this). $ Partners use rock-paper-scissors to decide on first teacher and the first student. $ Rules: Teachers cannot write on the paper, nor can they show their student how they solved the problem. $ Teachers explain their group s problem in full to the student as the student solves it in the first box on their paper. The student should ask questions as necessary. $ When they are finished, they should switch roles. $ Find a new partner when the real teacher tells you to rotate, continue until all boxes are filled. Tic Tac Toe Preparation $ Make copies of the worksheet for each student. Instructions $ Ask the students to remind you how to play Tic Tac Toe how does one win at this game? $ Each student should find a partner to play Tic Tac Toe with. $ Student #1 picks a problem. $ Both students complete the selected problem in the appropriate box $ They show each other their solutions when finished (and can check answers with answer key clipped to front board) o Case 1: Student #1 is correct à Student #1 claims the box. o Case 2: Student # 1 is Wrong & Student #2 is correct à Student #2 Claims the box. o Case 3: If both students are correct, Student #1 claims the box (they chose it!) $ Next, it is Student #2 s turn to choose. $ Done Early? Try a 2 nd game on the back! $ Teachers should circulate as they work and help as necessary.

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7 Find Someone Who Name: Topic: Solving one-variable equations 1. You and your partner work together. 2. Check each other s solutions. 3. Your partner signs 1. Solve for x: 5x + 3 = Solve for a: - 6 (a - 5) = 7 3. Solve for x: x = 13x 1 4. Solve for n: 7 + 5(n 4) = 1 5. Solve for x: 3x 10 = 7x Solve for x: (x - 2) = Solve for w: - 2w = 4w Solve for x: 3(4x + 4) = - 9(3x 2) 9. Solve for x: 2(4 x) = 8(2x + 5) + 4

8 Name: Per: Date: J Each One, Teach One J Directions: Choose one problem in which you are an expert. Put the problem and the solution in the box below. In the boxes below, have four different people explain their problems to you: (Write down the problem and the solution Remember they CANNOT show you their work/paper!!!)

9 Name: Per: Date: The Problems! (5.5) Triangle Inequality Theorem 1. Can a triangle have sides of 4, 6, and 7? Justify your answer. 2. A triangle has sides of 17, and 25. Describe the possible lengths of the third side. 3. Phil was given 26 feet of wire and told to bend it into the shape of an isosceles triangle. Sketch an isosceles triangle that Phil could have formed with the 26 feet of wiring. 4. Can a triangle have sides of 10, 12, and 28? Justify your answer. 5. A triangle has sides of 16, and 24. Describe the possible lengths of the third side. 6. Chuck was given 16 mm of wire and told to bend it into the shape of an isosceles triangle. Sketch an isosceles triangle that Chuck could have formed with the 16 millimeters of wiring. 7. Can a triangle have sides of 11, 19, and 6? Justify your answer. 8. A triangle has sides of 19, and 12. Describe the possible lengths of the third side. 9. Arely was given 22 mm of wire and told to bend it into the shape of an isosceles triangle. Sketch an isosceles triangle that Arely could have formed with the 22 millimeters of wiring. Final Challenge! You are asked to fence in a triangular playground. Two sides of the playground have lengths of 100 feet and 200 feet. What is the maximum total length of fence you could possibly need?

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12 Our winner is:!! Tic Tac Toe Inverse Functions My name: My partner s name: Date: Period: One person picks a box they would like to claim Both of you evaluate BOTH problems If the original person is correct, they get the square. If they are wrong, the opponent gets the box. YOU MUST JUSTIFY YOUR ANSWER (show +s and - s, who won the game, etc)!!! Verify that f and g are inverse functions. f (x) = 3x + 6 g(x) = 1 3 x + 2 f (x) = x + 5 Verify that f and g are inverse functions. f (x) = x 2 g(x) = x + 2 f (x) = 1 2 x + 6 h(x) = 2x Verify that f and g are inverse functions. f (x) = 1 x 4 g(x) = 2x Verify that f and g are inverse functions. f (x) = x 3 3 g(x) = x g(x) = x 2 1 f (x) = x + 1

13 Our winner is:!! Tic Tac Toe Inverse Functions My name: My partner s name: Date: Period: One person picks a box they would like to claim Both of you evaluate BOTH problems If the original person is correct, they get the square. If they are wrong, the opponent gets the box. YOU MUST JUSTIFY YOUR ANSWER (show +s and - s, who won the game, etc)!!! f (x) = 3 2x Verify that f and g are inverse functions. f (x) = 2x + 7 g(x) = 1 2 x 7 2 g(x) = x Verify that f and g are inverse functions. f (x) =1 x g(x) =1 x 3 f (x) = 5x 3 f (x) = x h(x) = x 2 + 7, x 0 g(x) = 4x 2 Verify that f and g are inverse functions. f (x) = 1 2 x 3 3 g(x) = 2x

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