S T A G E 3

Learning Plan No. : 1Date : June 21 – 22, 2011

I. OBJECTIVES:

At the end of this lesson/activity the students should be able to:1. explore the process of finding the square of binomials 2. search for patterns in finding the square of binomials3. find the special product of the square of binomials

II. SUBJECT MATTER:

Lesson/Focus : The Square of Binomial

Skills : Squaring a termUsing special product in squaring a binomial

Essential Question : How are patterns used to solve real-life problems involving the product of two binomials?

Essential Understanding : Patterns in finding the product of two binomials facilitates the solutions of real-life problems.

Materials : Activity Sheets

III. PROCEDURES:

A. Preliminary Activities1. Checking of cleanliness of classroom2. Checking of proper wearing of uniform3. Checking of attendance4. Announcements

B. ExploreProvide learners opportunities to recall mathematics concepts related to the rules in finding special product of the square of binomial

Activity 1Determine the square of each of the following.

______1. 5______2. -8______3. 13______4. -16______5. 0.7______6. 4.3______7. -2.6______8. 5.12______9. _-4_ 5______10. _-2_ 9

______11. 3b______12. -4p______13. 3xy______14. -6ab______15. 3x______16. -4t______17. 5x2

______18. 10xy2

______19. _-3a_ 8______20. _-2t_ 3

Activity 2Determine the indicated product in each of the following. Then answer the questions

that follow.1) (x +3)(x +3)2) (x – 2)(x – 2)3) (3x +1)(3x + 1)4) (2x + 3)2

5) (3x – 2)2

How did you find each product?

What mathematics concepts or principles did you apply to come up with each product?

How did you apply these concepts or principles in finding each product?

What observations can you make about the product?

Did you find any pattern in determining each product? Describe the pattern, if there is any.

Is there an easy way of finding each product without using the distributive property method or the FOIL method? Explain your answer.

C. Firm – up :How can we obtain the product of similar binomials?

Example: Multiply: (x + 5)2

(x + 5)2 = (x + 5) (x + 5)F O I L

= x2 + 5x + 5x + 25= x2 + 10x + 25

Notice the patterns that appear in the example.

Here x is the first term and 5 is the second term

(x + 5)2 = x2 + 10x + 25

x2 is the square of the first term of the binomial (x)2 = x2

10x is twice the product of the terms 2(5x) = 10x

25 is the square of the second term(5)2 = 25

This patterns leads to the formula for the square of binomial:

(a + b)2 = (a + b) (a + b)= a2 + 2ab + b2

To square a binomial, square the first term, get twice the product of the terms and finally square the second term.

Activity 3Find each indicated product then answer the questions that follow.1) (x + 9)(x + 9)2) (2x – 2)(2x – 2)3) (3x +y)(3x + y)4) (3m + 1)2

5) (4b + a)2

How do you find each product now?

Is it easier than using the FOIL method? Why?

IV. ASSIGNMENT:Use special product in multiplying the following.

1) (x - 4)(x - 4)2) (m + 7)(m + 7)3) (x + y)(x + y)4) (m + 6)2

5) (b + 3a)2

Learning Plan No. : 2Date : June 23, 2011

I. OBJECTIVES:

At the end of this lesson/activity the students should be able to:1. find the special product of the square of binomials2. use special product in squaring binomial

II. SUBJECT MATTER:

Lesson/Focus : The Square of Binomial

Skills : Using special product in squaring a binomial

Materials : Activity Sheets

III. PROCEDURES:

A. Preliminary Activities1. Checking of cleanliness of classroom2. Checking of proper wearing of uniform3. Checking of attendance4. Announcements

B. DeepenProvide learners opportunities to recall mathematics concepts related to the rules in finding special product

Activity 4Answer each of the following.1. In finding the square of binomial, how do you find each term of the product?2. How are the terms of the binomial being squared related to the middle term of

the product?3. In squaring a binomial, how many terms does the product have?4. Michael says that (x + 4)(x + 4) ≠ (x + 4)2. Do you agree with him? Explain your

answer.

Activity 5 (Worksheet in Square of Binomial)Determine the indicated product.

1) (y +8)(y +8)2) (m – 7)(m – 7)3) (5x +2)(5x + 2)4) (x + 3y)2

5) (2x – y)2

IV. ASSIGNMENT:

Answer each of the following1) Express your understanding on the Square of Binomial by giving 2 examples.2) Make an advance study on the Product of the Sum and Difference of Two Terms.