tree diagram, logic, modeling, table

Use Logical Reasoning

Jane, George, and Mirza belong to the swimming team.  One is in grade 8, one is in grade 9, and the third is in grade 10.  Jane and the grade 8 student are helping to coach the rookie, Mirza.  Jane is not in grade 9.  Which grade is each swimmer in?

Use a Tree Diagram

Enter the number you wish to factor, then complete the following tree diagram.

Linked Source (Ron Blond)

Example: Find the prime factorization of 125.

Prime factorization = 5 x 5 x 5 = 5³

Use a Model

Draw a Diagram

You are in charge of tournament playoffs for bantam,  midget, and juvenile hockey.  Only the winning team will advance to the next round (single-elimination format).  The higher ranking team(s) get a bye if there are not enough teams to complete a round.  There are 9 bantam teams, 8 midget, and 5 juvenile hockey teams making the playoffs.   How many rounds are needed for each tournament?  (Hint:  Draw a diagram to show each round for each set of playoffs.)  Use the Playoff Scheduler to check your work.

Playoff Scheduler

Look for a Pattern

Select [EXPLANATION/PROOF]

Linked Source (Ron Blond)

Make a List

1. How many different combinations of the letters ABCD can you make?

Make a list:

There are 24 different combinations of the letters ABCD.

2. How many combinations are there for tossing 2 dice?

The list can be in diagram form:

There are 36 possible outcomes each time two dice are thrown.