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# Maureen Curran and Mary Lou Aalbers Hazelwood School District

MATH. Handshake Problem. Teacher tips. Maureen Curran and Mary Lou Aalbers Hazelwood School District. Teacher Tips You will need to click the mouse to show the answers for activities. This will allow you to control the timing of answers shown. We suggest that students keep a journal.

## Maureen Curran and Mary Lou Aalbers Hazelwood School District

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1. MATH Handshake Problem Teacher tips Maureen Curran and Mary Lou Aalbers Hazelwood School District

2. Teacher Tips • You will need to click the mouse to show the answers for activities. This will allow you to control the timing of answers shown. • We suggest that students keep a journal. • It is critical for students to use writing skills to explain their answers. • Please take time to discuss possible solutions to problems. • Click to see answer on each slide and click to go to the next slide.

3. Handshake Problem • The following lessons are addressing these standards: • Develop, analyze, and explain methods utilized to collect, organize, and describe data. (MO 1.1, 1.4,1.8, 2.1) • Apply patterns, relations, & functions to solving real-world problems.(MO1.6, 1.8, 3.3, 3.6) • Examine, predict, design, extend and describe patterns and relationships. (MO 1.6, 1.8, 2.1, 3.3)

4. The Handshake Problem • Let’s suppose you shook hands with everyone in this class. How many handshakes would there be? Act it out in your class, starting with one person and filling in the table on the next slide as you add people.

5. The Handshake Table # of People # of Handshakes 1 0 2 1 3 3 Make this chart in your journal and look for any patterns you see after showing 8 handshakes.

6. The Handshake Table # of People # of Handshakes 1 0 2 1 3 3 4 6 5 10 6 15 7 21 8 28 # of People # of Handshakes 1 0 2 1 3 3

7. The Handshake Table • Did you see a pattern in the table after 10 people in class shook hands? • Copy at least two different patterns you found in the table in your journal. • Describe the pattern in words. • Can you predict the number of handshakes there might be for 20 people by using the pattern you found? • Click here for the answer! With 20 people there would be 190 handshakes !

8. # of HANDSHAKES 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 # of People Using the data from the Handshake Table, make a line graph showing the number of handshakes there were in your classroom. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

9. Using the data from the Handshake Table, make a line graph showing the number of handshakes there were in your classroom. 21 15 10 6 3 1 # of HANDSHAKES 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 # of People End of Activity

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