6th Grade Math Textbook, Fundamentals

Read to understand what is being asked.

List the facts and restate the question.

Facts: Quinn and Sherrod are competing in checkers. The first person to win

either two consecutive games or a total of three games wins the match.

Question:In how many different ways can their match be played?

Select a strategy.

You can use the strategy Organize Datato make a chart showing all the possibilities.

Apply the strategy.

• First list all the possibilities in which Quinn wins the first game.

Quinn wins the match!

Sherrod wins the match!

Quinn wins the match!

Quinn wins the match!

Sherrod wins the match!

• Next list all the possibilities in which Sherrod wins first.

Sherrod wins the match!

Quinn wins the match!

Sherrod wins the match!

Sherrod wins the match!

Quinn wins the match!

So there are 10 possible ways in which the match can be played.

1st game 2nd game 3rd game 4th game 5th game

Sherrod Sherrod

Sherrod Quinn Quinn

Sherrod Quinn Sherrod Sherrod

Sherrod Quinn Sherrod Quinn Sherrod

Sherrod Quinn Sherrod Quinn Quinn

1st game 2nd game 3rd game 4th game 5th game

Quinn Quinn

Quinn Sherrod Sherrod

Quinn Sherrod Quinn Quinn

Quinn Sherrod Quinn Sherrod Quinn

Quinn Sherrod Quinn Sherrod Sherrod

Check to make sure your answer makes sense.

The least number of games possible in the match is 2, and the greatest number is 5.

Check your list. Did you list all the possibilities for the matches? Yes✓

How many matches are settled after 2 games? 2After 3 games? 2

After 4 games? 2After 5 games? 4

Are there 10 games in all? Yes, 2  2  2  4  10 ✓

&KDSWHU 

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Problem 2: Quinn and Sherrod are competing in a checkers tournament.
The first player to win either two games in a row or a total of three games
wins the match. In how many different ways can the match be played?

Lesson 2-10 for exercise sets.

Check to make sure your answer makes sense.

Compare the results in your table to the clues.

Clue 1:Alice is a zookeeper, so she does not need a driver’s license.

Clue 2:Derek is a math teacher, so he probably spends much of his day standing.

Clue 3:Derek does not have to work with animals in his job as a math teacher.

Clue 4:Colleen drives a cab, which has only four wheels.