Lesson Plan in Mathematics Grade 8 I. Objectives: At the end of the learning activities, the students should be able to: 1. identify identify polynomial polynomialss which are special special products: products: trinomials trinomials that are product product of two binomials, binomials, trinomials that are product of squares of a binomial, and products of sum and difference of two terms; 2. find special special products products of certain certain polynomial polynomials: s: product product of two binomials binomials,, product of the sum sum and difference of two terms, and a square of a binomial. II. Subject Matter: A. Topic: Topic: !pecia !peciall "roduc "roduct# t# $. %alue %alue &ocu &ocus: s: 'elpfu 'elpfulne lness ss (. )aterials: )aterials: *(+ *(+ "roector "roector,, *aptop, )anila )anila paper, paper, pentel pentel pen +. -eferences: -eferences: rade / )ath )ath )odule )odule 1, pp. 0 2/; $+ Teaching uide III. Developmental Activit: A. Prelimi Preliminar nar Activit Activit: : 1. "re3 "re3as asse sess ssme ment nt 2. Activity Activity 1: "ass "ass the $ottle# $ottle# 4-eview 4-eview on *aws *aws on 56ponent 56ponent and )ulti )ultiplicat plication ion of "olynomials7 !. Less Lesson on Pro Prope per: r: ". Motivation: Activity 2: "icture Analysis
8uestions: 1. 9hat have you you observe observe in the the followi following ng picture pictures s 2. (an you you see different different patterns patterns in in the given pictures pictures . 9hy do you thin< thin< od3 od3 the creator creator includes includes patter patterns ns around around us =. 9hat do you thin< thin< our environm environment ent loondividual activity7 *oo< at the patterns in each row. &ill in the blan
'ow do you find the ne6t answers Are patterns useful in finding your answers +o you
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#. Presentation Today, you will learn more about !pecial "roduct. a. nlo nloc< cn your group, investigate, investigate, discuss and complete the table below. Then answer the questions questions and record your group answers. 56pressions 1. 4=627 462y7 @ 2. 4262 6 3 =7 @
. 4< m7 4=<3 m7 @
=. 46327 46C7 @
C. 4a 72
F. 4y =74y =7
0. 46 2746 27
!olutions @ 4=627 462y7 @ 126=y @ 4262 6 3 =7 @ 42627 467 4=7 @BBBBBBBBBBBBBBBBBBBBBBBB @ 4<m7 4=<3m7 @ BBBBBBBBBBBBBBBBBBBBBBBB BBBBBBBBBBBBBBBBBBBBBBBB @ 12< 2
@ 4a 74a 7 @ BBBBBBBBBBBBBBBBBBB @ a2 a a E @ BBBBBBBBBBBBBBBBBBB @ BBBBBBBBBBBBBBBBBBB @ BBBBBBBBBBBBBBBBBBB @ BBBBBBBBBBBBBBBBBBB @ BBBBBBBBBBBBBBBBBBB @ 46 2746 27 @ 6467 6427 2467 2427 @ 62 26 26 = @ 62 =
!teps sed (opy the original e6pression. )ultiply the terms. (opy the original e6pression. se the distributive property. )ultiply the terms. se the distributive property. BBBBBBBBBBBBBBBBBBBBBBBBB BBBBBBBBBBBBBBBBBBBBBBBBB (ombine similar terms. (opy the original e6pression. BBBBBBBBBBBBBBBBBBBBBBBB BBBBBBBBBBBBBBBBBBBBBBBB )ultiply the terms.
BBBBBBBBBBBBBBBBBBBBBB se distributive property )ultiply the terms BBBBBBBBBBBBBBBBBBBBBB (opy the original e6pression se distributive property )ultiply the terms (ombine similar terms BBBBBBBBBBBBBBBBBBBBBB BBBBBBBBBBBBBBBBBBBBBB BBBBBBBBBBBBBBBBBBBBBB BBBBBBBBBBBBBBBBBBBBBB
8uestions: 1. 56plain 56plain the distri distributive butive propert property. y. 9hen do do we apply apply such propert property y 2. 9hat pattern pattern was was used in in multiplyi multiplying ng a monomial monomial to a polynomial polynomial lin 4< 4<m m77 4=<3 4=<3m7 m7,, what what are are:: a. the fi first rst ter term ms b. the outer terms c. the inne innerr ter term ms d. the las last ter term ms C. >n 4<m 4<m77 4=<3m7 4=<3m7,, what is is the prod product uct of its: its: a. &irst ter term ms b. Iuter terms c. >nner te terms d. *ast te terms F. !tate and and e6plain e6plain the pattern pattern &I>*# &I>*# method method of multiplying multiplying binomi binomial al to a binomial. binomial. 0. (an you apply apply &I>*# &I>*# method method in finding finding the product product of the e6pressio e6pressions ns in numbers numbers to 0 >f yes, how +iscuss the answer within the group.
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$. %i&in' S(ills: Activity C: allery 9al< ?ou will be divided into four groups. 5ach group will wor< on each case given. ?ou will find the indicated product of the e6pressions that will be handed to your group. "ost your answers on your group station. Then > will give you time to wal< around the classroom and observe the answers of the other groups. Jote the answer that needs correction and post it on the board in order to chec<.
(A!5 1 1. 4Cm 074m 07 @ 2. 46 =7 46 =7 @ . 426 C72 @ =. 46 2y72 @ C. 4Cm 074Cm 07 @
(A!5 1. 4Ct F74t 17 @ 2. 4w 07 4w 07 @ . 46 E72 @ =. 46 F72 @ C. 41Dm =741Dm =7 @
(A!5 2 1. 4m =74m 7 @ 2. 4< F7 4< F7 @ . 46 272 @ =. 46 y72 @ C. 42b 742b 7 @
(A!5 = 1. 4r 2742r 7 @ 2. 4w 117 4w 117 @ . 4C6 1D72 @ =. 46 272 @ C. 4m /74m /7 @
). Application: Activity F: +ecision, +ecision, +ecisionK 4Activity by "air7 'elp each person decide what to do by applying your f the sides sides of the square square pool are unf Lem $oy $oy does not want want the area area of his pool pool to decrease, decrease, will will he pursue pursue his plan plan 56plain your answer. *. +alues Inte'ration: 'ow did you find the activity activity (an you help anyone who needs your help >n what wayGs can you help the most in need ,. Generali-ation 'ow can you identify the product of a square of a binomial a sum and difference of two terms the product of two binomials 'ow can you find the special product of certain polynomials: product of two binomials, product of the sum and difference of two terms, and a square of a binomial
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I+. valuation A. Multiple /hoice. /hoice. /hoose /hoose the correct correct ans0er ans0er in each each o1 the 1ollo0in'. 1ollo0in'. 1. 9hat 9hat is the produc productt of 6 y and 6 y y 2 2 2 2 2 a. 6 y b. 6 26y y c. 6 26y y 2 d. 26 2y 2 2. &ind &ind the the missi missing ng e6pre e6pressi ssion: on: =46 y 7 @ BBBBBBBB. 2 2 2 2 a. =6 y b. =6 =6y y c. =6 =y2 d. =6 =y . >f y C is multiply multiply by itself, itself, what is the the product product a. y2 Cy 2C b. y2 Cy 1D c. y2 1Dy 2C d. y2 2C =. 9hich e6pressio e6pression n is a perfect perfect square square trinom trinomial ial 2 2 2 a. 6 1D6 2C b. 6 /6 E c. a a N d. both a and b C. 9hich mathematical statement is correct a. 4263y7463y7 4263y7463y7 @ F62 C62y2 y2 b. 4=63C74=63C7 @ 1F62 2C 2 c. 463=742607 @ F6 16 2/ d. 426 C7 2 @ =62 2C F. ?our classmate was ass his answer correct a. ?es, because because squaring a binomial binomial always produces produces a binomial binomial product. product. b. ?es, because product product rule is correctly applied. c. Jo, because because squaring a binomial always produces produces a trinomial trinomial product. 2 d. Jo, because the the answer answer must must be =6 E
!. Provide an e&le o1 each o1 the 1ollo0in'. 1. "roduct of two binomials 2. "roduct of the square of the sum of two terms . "roduct of the square of the difference of two terms =. "roduct of the sum and difference of two terms +. Assi'nment2A'reement: +irections: 9rite at least three application problems using the s
AccuracyG IrganiHation 4CDO7
Authenticity 42DO7
Jeatness 42DO7 (reativity 41DO7
"repared by:
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2 1 >dea >deass are are not not Jo attempt to clear, with do the activity. more than 2 errors in computations.
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are are Jo attempt to do the activity
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