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Grade 9:  The Learning Equation Math

21.01 Logic and Problem Solving

2icon.jpg (3565 bytes)

Patterns

Refresher pp 26-27

 

SeekAWord2ech.class Author

Prerequisite Skills:

Key Terms           

tree diagram, logic, modeling, table

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.

Linked Source (Ron Blond)

Example: Find the prime factorization of 125.

pf125.gif (1397 bytes)

Prime factorization = 5 x 5 x 5 = 53

Use a Model

Perimeter and Area of Rectangles and Squares

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]

Linked Source (Ron Blond)

 

Make a List

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

Make a list:

ABCD
ABDC
ACBD
ACDB
ADBC
ADCB
BACD
BADC
BCAD
BCDA
BDAC
BDCA
CABD
CADB
CBAD
CBDA
CDAB
CDBA
DABC
DACB
DBAC
DBCA
DCAB
DCBA

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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