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Grade 9:  The Learning Equation Math

21.01 Logic and Problem Solving

 Refresher pp 26-27

 SeekAWord2ech.class Author Prerequisite Skills:

Learning Outcomes:      Review     Enrichment      Key Terms     Prerequisite Skills

The student will:

# Solving a Problem

## 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.

Example: Find the prime factorization of 125.

Prime factorization = 5 x 5 x 5 = 53

## Peg Puzzle

This is a solitare game.  Jump pegs from a pegboard over each other until there is only one peg left.  Using a computer model is simpler solving the puzzle mentally.

## 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

## Guess and Check

 3x + 4 = 19, Solve for x. x 3x + 4 1 3(1) + 4 = 7 2 3(2) + 4 = 10 3 3(3) + 4 = 13 4 3(4) + 4 = 16 5 3(5) + 4 = 19

## Look for a Pattern

Select [EXPLANATION/PROOF]

## 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.

1. 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.

Review        Learning Outcomes       Enrichment        Key Terms        Prerequisite Skills

Enrichment        Learning Outcomes       Review        Key Terms        Prerequisite Skills

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