Detailed lesson Plan in Mathematics II-OBJECTIVES1. 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 MATTERA. Topic: LESSON 4.5 MULTIPYING POLYNOMIALSB. Sub-topic: Multiplying Polynomials by a MonomialC. Reference: Grade 7 Mathematics Patterns and Practicalities by Gladys Nivera, Ph.D. pp. 246-247D. Instructional Materials: Teaching AidE. Values Integration: CooperationF. Method: 4As ApproachIII-LESSON PROPER

(Teachers Activity)A. Daily Routine1. Opening Prayer2. Greetings3. Checking of Attendance

B. Review/Drill Simplify the following.1. 7a +4b+3a-2b2. 9y-3y3. 4. -5ab-5ab5. 2x+1+5x-2

C. Lesson Presentation1.Activity(The class will be divided into 6 groups)For group 1 and group 4 Simplify:1. 2.

(Students Activity)

10a+2b6y

-10ab7x-1

For group 2 and group 5 Simplify:1. 2.

For group 3 and group 6 Simplify:1. 2. 2. AnalysisPost-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 TilesExample: multiply and simplify if x=2

Solution: First, lets 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)=-

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

There are twelve tiles and four x tiles from the square.Area = 12( + 4() = + 4xIf x=2;= + 4(2)= + 8= -48 + 8= -56

Check: using the distributive property

= + = + 4x

Who wants to try ?

3. Abstraction

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

How do we use the algebra tiles in multiplying polynomials?

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There are four and six-1 tiles= 4(-x) + 6(-1)=-4x +-6

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

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

4. ApplicationGroup 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 and its width is . Find its area if =3.

5x

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There are ten and fifteen -x tilesArea= 10() + 6(-) = 10 + -

If x=3;= + 15(-3)= - 45= 90 - 45= 45 sq m

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

3x

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

6x

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There are eighteen and twelve -x tilesArea= 18() + 12(-) = 1 -

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

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

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

4a

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

5a

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There are twenty and twelve a tilesArea= 20() + 12() = 20+

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

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There are thirty and ten a tilesArea= 30() + 10() = 30+

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

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

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

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There are twenty-one and six a tilesArea= 21() + 6() = 2+

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

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There are twelve and twelve -a tiles= 12() + 12() = +

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V-ASSIGNMENTAnswer the following using the algebra tiles.1. 5x(3-2x-1)2. 4-3x+1)

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There are twenty-four and eight -y tiles= 24() + 8()= -2+-8