Tic-tac-toe 1k6z72

TITLE

TPS IN TIC - TAC - TOE

DESCRIPTION

This Teacher Material provides the students an opportunity to play and work cooperatively and collaboratively using the Think-Pair-Share strategy in identifying and solving systems of linear equations. The TSM is patterned after the popular game Tic-Tac-Toe in which vertical, horizontal and diagonal patterns are followed with systems of linear equations as the core of the game. TARGET AUDIENCE

Second Year Math Students

SUBJECT MATTER/LEARNING COMPETENCIES

SYSTEMS OF LINEAR EQUATIONS

4.1 -

Given a number of linear equations in two variables, identify those whose graphs are parallel, those that intersect, and those that coincide(inconsistent).

4.3 -

Given a system of linear equations in two variables, determine whether or not their graphs intersect, and if they do, find the solution of the system algebraically by:



> >

elimination substitution

1

DURATION

30 minutes for game 1 30 minutes for game 2

OBJECTIVES

Students will:



1.

identify the kinds of systems of linear equations

2.

solve systems of linear equations.

PREPARATION 1. Students should have knowledge about: > the kinds of systems of linear equations > solving systems of linear equations using - elimination - substitution 2. Prepare TIC-TAC-TOE board, three sets of square cartolina whose size of each is the same as the size of the square in TIC-TAC-TOE board and systems of equations strips.

Note: Master copies are provided to be used in reproducing the number required for each set.

1.

Pick out all A-1 students in the class. The number of these students will determine on the number of groups formed. Each A-1 student will be assigned to each group as an arbiter in which he/she is responsible in checking the answers of the competing groups and decide who the winner is for that particular round.

PROCEDURES FOR USE

2



2.

Divide the class into groups with 6 .

3.

Within the small group of 6, each member will choose a partner to form another subgroups with 2 .

4.

Each subgroup will then choose a color, (BLUE, PINK or YELLOW) and will get the square cartolina from their teacher according to their chosen color.

5.

To determine the first group to control the first item to be answered, a die is thrown and whoever subgroup gets the highest number in a die will be the first controller.

6.

The first controller will then choose a number in the TIC-TAC-TOE board and will draw a card from a deck of equation cards for the 3 subgroups to answer.

7.

The first group to give the correct answer to the arbiter will be the winner for that particular round and will stick their square card to the chosen number in the TIC-TAC-TOE board. That group now will choose another number in the board as the new controller.



The game continues on the same manner.

8.

9.

The subgroup who can form a diagonal or horizontal or vertical pattern first of the same color will be the winner.

10. If no group was able to form a diagonal, horizontal or vertical, the group with the most numbers of square cartolinas wins.

3



11. In case of a tie, another round will be played until one subgroup in a group wins. 11. Game 1 is focused in identifying the systems of linear equations. 12. Game 2 is focused in solving systems of linear equations. EVALUATION The effectiveness of this material can be measured through students’ speed and accuracy in the computation and correct identification of systems of linear equations. RESOURCE LIST

1 Booklet (Teacher’s Guide) 10 TIC-TAC-TOE Board 1 set of systems of equations cards for game 1 1 set of systems of equations cards for game 2 1 set of colored square cartolina (blue, pink, yellow)

4

ANSWER KEY GAME 1

A. B. C. D. E. F. G. H. I. J. K. L. M. N. O. P. Q. R.

GAME 2 A. B. C. D. E. F. G. H. I.

DEPENDENT SYSTEM INDEPENDENT SYSTEM INCONSISTENT SYSTEM INCONSISTENT SYSTEM INDEPENDENT SYSTEM DEPENDENT SYSTEM INDEPENDENT SYSTEM INCONSISTENT SYSTEM INCONSISTENT SYSTEM INDEPENDENT SYSTEM INCONSISTENT SYSTEM DEPENDENT SYSTEM DEPENDENT SYSTEM INDEPENDENT SYSTEM INCONSISTENT SYSTEM INDEPENDENT SYSTEM INDEPENDENT SYSTEM INDEPENDENT SYSTEM X 1 2 -2 3 4 1 2 2 -8

Y 1 0 3 -2 0 2 2 0 -6

J. K. L. M. N. O. P. Q. R.

X -1 1 1 2 -2 1 1 2 -1

Y X Y -2 S. 1 -1 1 T. 2 0 1 U. -1 -2 4 V. 0 7 -1 W. 3 -1 1 X. -2 -1 1 Y. -1 1 3 Z. 4 0 -2 A1 8/5 6/5

5

1

2

3

4

5

6

7

8

9

TIC - TAC - TOE BOARD

A

GAME 1

X+Y=2 3X + 3Y = 6 C GAME 1

X+Y=7 2X + 2Y = 2 E

GAME 1

3X + 2Y = 5 2X + 3Y = 0 G

GAME 1

6X + 2Y = 10 10X - 2Y = 6

B GAME 1

X+Y=8 X - Y = -4 D

GAME 1

2X + 4Y = 2 X + 2Y = -3 F GAME 1

2X - Y = 1 4X - 2Y = 2 H GAME 1

2X + Y = 2 4X + 2Y = 3

I

GAME 1

X + 3Y = -2 2X + 6Y = -6 K

GAME 1

3X + Y = 2 6X + 2Y = 3 M

GAME 1

J

GAME 1

3X + 4Y = 8 2X - 5Y = 9 L

GAME 1

2X - 3Y = -1 6X - 9Y = -3 N GAME 1

X-Y=5 2X - 2Y = 10

4X - Y = 4 3X + 5Y = 9

O

P

GAME 1

6X - 3Y = -5 2X - Y = -2

GAME 1

X + 2Y = 2 3X + 5Y = 7

Q

GAME 1

2X + Y = 1 4X - 2Y = 6 A GAME 2

X-Y=0 X+Y=2 C GAME 2

-X + 3Y = 7 2X + 4Y = 16 E

GAME 2

3X - 2Y = 12 4X - 5Y = 16

R

GAME 1

2X - Y = 5 5X - 2Y = 14 B GAME 2

-2X + Y = -4 X+Y=6 D GAME 2

X+Y=1 X-Y=5 F GAME 2

2X - Y = 0 2X + Y = 4

G

GAME 2

2X - Y = 2 X+Y=4 I

GAME 2

4Y - 4X = 8 Y - 2X = 10 K GAME 2

H

GAME 2

2Y + X = 2 -Y + 2X = 4 J

GAME 2

Y + 2X = -4 -Y + 2X = 0 L

GAME 2

2Y + 2X = 4 5Y + 2X = 7

3Y - X = 2 -Y + 4X = 3

GAME 2

N GAME 2

2X - Y = 0 X - Y = -2

3X - Y = -5 X - 2Y = 0

M

O GAME 2

P

GAME 2

-X + 3Y = 2 4X - Y = 3

2X + 2Y = 4 2X + 5Y = 7

Q GAME 2

R GAME 2

3Y - X = 7 4Y + 2X = 16

2X + Y = -4 4X - 2Y = 0

S GAME 2

T GAME 2

X+Y=0 X-Y=2

2X - Y = 4 X + 2Y = 2

U GAME 2

V GAME 2

2X + Y = -4 -5X + 3Y =-1

Y+X=7 2Y + X = 14

W GAME 2

X GAME 2

X - 3Y = 6 X+Y=2

2Y - X = 0 Y - 3X = 5

Y GAME 2

Z GAME 2

X - 2Y = 1 X + Y = -2

12X- 8Y = 48 2X -15Y = 48

A1 GAME 2

X + 2Y = 4 4X - 2Y = 4

Published by the PHILIPPINES - AUSTRALIA PROJECT IN BASIC EDUCATION (PROBE) REGIONAL LEARNING MATERIALS CENTER VII (RLMC VII) Department of Education, Region VII, Central Visayas Cebu City Copyright © 2001 by PROBE Reprint Edition 2002 COPYRIGHT NOTICE Section 9 of Presidential Decree No. 49 provides: “No copyright shall subsist in any work of the Government of the Republic of the Philippines. However, prior approval of the government agency or office wherein the work is created shall be necessary for exploitation of such work for profit.”

This material has been developed within the Project in Basic Education (PROBE) implemented by the Educational Development Projects Implementing Task Force (EDPITAF) of the Department of Education, Culture and Sports (DECS) in collaboration with the Bureau of Elementary Education, Bureau of Secondary Education and the Commission on Higher Education. Prior approval must be given by the PROBE Management Unit lodged at EDPITAF and the source must be clearly acknowledged.

ISMAELITA N. DESABILLE

ISF, Secondary Math Mandaue City Division

The production of this Teacher Material (TSM) has been made possible with the assistance of the PA-PROBE RLMC VII Staff.

A Game for Second Year Secondary School Mathematics Students (Teacher’s Guide)

Contents Page Title ...................................................................

1

Description........................................................

1

Target Audience . .............................................

1

Subject Matter/Learning Competencies ........

1

Duration . ..........................................................

2

Objectives ........................................................

2

Preparation ......................................................

2

Procedure for Use ...........................................

2

Evaluation ........................................................

4

Resource List . .................................................

4

Answer Key ......................................................

5

A GAME FOR SECOND YEAR SECONDARY SCHOOL MATHEMATICS STUDENTS

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TIC TAC TOE PHILIPPINES-AUSTRALIA PROJECT IN BASIC EDUCATION (PA-PROBE) REGIONAL LEARNING MATERIALS CENTER VII (RLMC VII)