Detailed Lesson Plan in Mathematics I

Detailed lesson Plan in Mathematics I I-OBJECTIVES 1. Multiply polynomial by a monomial using algebra tiles. 2. Solve mathematical problems using algebra tiles. 3. Participate enthusiastically in class and group discussion. II-SUBJECT MATTER A. Topic: LESSON 4.5 MULTIPYING POLYNOMIALS B. Sub-topic: Multiplying Polynomials by a Monomial C. Reference: Grade 7 Mathematics Patterns and Practicalities by Gladys Nivera, Ph.D. pp. 246-247 D. Instructional Materials: Teaching Aid E. Values Integration: Cooperation F. Method: 4A’s Approach III-LESSON PROPER (Teachers’ Activity) A. Daily Routine 1. Opening Prayer 2. Greetings 3. Checking of Attendance B. Review/Drill Simplify the following. 1. 7a +4b+3a-2b 2. 9y-3y 3. 4. -5ab-5ab 5. 2x+1+5x-2 C. Lesson Presentation 1.Activity (The class will be divided into 6 groups) For group 1 and group 4 Simplify: 1. 2.

(Students’ Activity)

10a+2b 6y -10ab 7x-1

For group 2 and group 5 Simplify: 1. 2. For group 3 and group 6 Simplify: 1. 2. 2. Analysis Post-activity (Each group will post their answers on the board) Now Class, what did you do to get the product of polynomial by a monomial? Okay very good. That is what we called the Distributive Property of Multiplication, and that is one of the method or technique in multiplying polynomials. Now class, let us have the other way or method in multiplying polynomials. Multiplying Polynomials using Algebra Tiles Example: multiply and simplify if x=2 Solution: First, let’s represent as the length and ) as the width of the tiles and construct the rectangle. Note: in using algebra tiles, a tile on each row is multiplied to every tile on each column, and that (1)(-1)=1, and (-1)=-

TIMES

(Expected Answer) Sir, we just multiply the polynomial by a monomial one by one or term by term.

 There are twelve – from the square. Area = 12( + 4( ) = + 4x If x=2; = + 4(2) = +8 = -48 + 8 = -56

tiles and four x tiles

Check: using the distributive property = = Who wants to try

+ + 4x ? TIMES

1

1

1

-1

-1

-1

-1

-1

-1

There are four – = 4(-x) + 6(-1) =-4x +-6

and six-1 tiles

3. Abstraction Aside from using the distributive property of multiplication. What is the other technique in multiplying polynomials?

The other method or technique in multiplying polynomials is by using the algebra tiles.

How do we use the algebra tiles in multiplying polynomials?

By multiplying every tile on each row to every tile on each column.

4. Application Group Activity (The class will work with the same group. Each group will be given a question and the first group to finish with the correct answer will be declared as the winner.) Note: The unit of measurement of area is sq m. Group 1. The length of a rectangle is . Find its area if =3.

and its width is

-1

TIMES

5x

There are ten Area= 10( ) + 6(- ) = 10 + If x=3; = + 15(-3) = - 45 = 90 - 45 = 45 sq m

-1

-1

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

and fifteen -x tiles

Group 2. The length of a certain swimming pool is its width is . Find its area if =3.

and

-

1 1

TIMES

3x

There are eighteen Area= 18( ) + 12(- ) =1 -

1

1

1

-

-

-

-

-

-

-

-

-

and twelve -x tiles

If x=3; = + 12(-3) = - 36 = 162 - 36 = 126 sq m

Group 3. The width of the rectangular lot is is . Find its area if =4.

and its length

-1

TIMES

6x

There are eighteen Area= 18( ) + 12(- ) =1 If x=4; = + 12(-4) = - 48 = 288 - 48 = 240 sq m

-1

-1

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

-

and twelve -x tiles

Group 4. The length of the volleyball court is width is . Find its area if =2.

and its TIMES

1

4a

There are twenty Area= 20( ) + 12( ) = 20 +

and twelve a tiles

If =2; = 20( + 12( ) = + 24 = 80 +24 = 104 sq m

Group 5. The width of the basketball court is is . Find its area if =3.

TIMES and its length

5a

There are thirty Area= 30( ) + 10( ) = 30 +

and ten a tiles

If =3; = 30( + 10( ) = + 30 = 270 +30 = 300 sq m

Group 6. The length of a certain hall is . Find its area if =5.

and its width is TIMES 1 1

1 1

3a

There are twenty-one Area= 21( ) + 6( ) =2 +

and six a tiles

If =5; = 21( + 6( ) = + 30 = 525 +30 = 555 sq m

IV-EVALUATION Multiply the following using algebra tiles. 5points each. 1. .

TIMES

3a

There are twelve = 12( ) + 12( ) = +

and twelve -a tiles

1 1

) TIMES

1 1

1 1

-4y

There are twenty-four tiles = 24( ) + 8( ) = -2 +-8 V-ASSIGNMENT Answer the following using the algebra tiles. 1. 5x(3 -2x-1) 2. 4 -3x+1)

and eight -y