Page 77 - IM_Algebra2_FL Print Sample.pdf

4. Noah says he used the solution for 3 checkers on each side to help him solve the puzzle for 4 checkers. Describe how this might happen.
5. How many moves do you think it will take to complete a puzzle with 7 checkers on each side?
Student Response
1. 3 moves
2. 15 moves
3. With 2 checkers on each side, 8 moves are needed. With 4 checkers on each side, 24 moves are needed.
4. Sample response: The moves that don’t involve the fourth checker on each side are the same as before, so it is possible to decide the number of moves by running the rst half of the three-checker game, then moving the fourth checkers, then running the second half.
5. 63 moves
Lesson Synthesis
Here are some questions for discussion:
• “What is the meaning of the word sequence in mathematics?” (A list of numbers.)
• “What is an example of a sequence that follows a rule, and what is the rule?” (Answers vary.)
• (time permitting) “Come up with a sequence of 5 numbers that follows some rule. Challenge your partner to nd the next term in the sequence and state the rule you used.”
1.4 Next?
Cool Down: 5 minutes
Student Task Statement
A sequence starts 3, 6, . . .
1. Give a rule the sequence could follow, and list the next 3 terms.
2. Give a different rule the sequence could follow, and list the next 3 terms.
Student Response
Sample responses:
1. Each term adds 3 from the previous term. The next three terms are 9, 12, 15. 2. Each term doubles the previous term. The next three terms are 12, 24, 48.
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Teacher Guide
Algebra