The document outlines a mathematics lesson plan about identities, specifically focusing on the concept of the product of sums. The lesson includes activities for students to identify patterns involving the product of four consecutive natural numbers, explain the relationship between the products of the first and last numbers and the middle two numbers, and generalize the result as a formula. The teacher will lead group discussions, explanations, and have students solve examples to reinforce their understanding of finding products of sums.

1. LessonTemplate
Nameoftheteacher:ShyaminiK.Mathai
Subject:Mathematics
Unit:Identities
Subunit:Identities
Nameoftheschool:
Standard:
Strength:
Date:
Time:
CurricularStatement:Tounderstandabouttheproductofsumsthroughdiscussion,observationa
ndbyanalysingpreparednotesofthepupil.
Contentanalysis:
Terms:productofsums
Facts:tomultiplyasumofpositivenumberbyasumofpositivenumbers,multiplyeachnumberinth
esecondsumbyeachnumberinthefirstsumandadd.
Concept:conceptoffindingproductsofsums
Process:processoffindingproductsofsums
Learningoutcomes:
Pupilswillbeableto:
 Recallthetermproductofsums
 Identifiestheconceptofproductsofsums
 Detecterrorswhilesolvingmultiplicationtables
 Explainsthemethodstosolveproductsofsums
 Suggestdifferentmethodstofindtheproductsofsums
 Plantodomoreproblems
 Comparedifferentproblems
Prerequisities:thestudentshaveknowledgeontheproductofsumsandalgebraicrepresentations
ofdifferentproblems
Teachinglearningmaterials:usualclassroomaids,charts
Learningstrategy:groupdiscussion,chartandexplanationbytheteacher

2. classRoomInteractionProcedure Expectedpupilresp
onse
Introduction
Teacherstartstheclassbyaskingaboutthelessondiscussedinthepreviouscl
ass
Presentation
Activity1
Teachergivesaquestionbeforestudents
1x4=(2x3)-2
2x5=(3x4)-2
3x6=(4x5)-2
[BB]
1)teacherasksthestudentstowritethenexttwolineintheabovepattern
2)ifwetakefourconsecutivenaturalnumbers,whatistherelationbetweent
heproductsofthefirstandthelastandtheproductofthemiddletwo
Activity2
Teacherexplainthesecondpartoftheresultusingachart
1)nextlineintheabovepatternis
5x8=(6x7)-2
6x9=(7x8)-2
2)letthefournumbersbe
5,6,7,8
Then5x8=40
6x7=42
Difference=42-40=2
Takeanother4numbers
11,12,13,14
11x14=154
12x13=156
Difference=156-154=2
Activity3
Teachergeneralisetheaboveresulttheproductoffirstandlastnumbersam
ong4consecutivenaturalnumbers=twolessfromtheproductoftwomiddle
numbers
Activity4
Teachergeneralisetheresultas
Lettheconsecutivenaturalnumbersbea,a+1,a+2,a+3)
Thena(a+3)=(𝑎2
+ 3𝑎)
(a+1)(a+2)=𝑎2
+ 2𝑎 + 1𝑎 + 2
=𝑎2
+ 3𝑎 + 2
Studentcopiestheq
uestionsintheirboo
ks
Studentwritesinth
eirnotebook
Studentsrepeatsth
eanswers
studentscopieditin
thebook

3. Difference=𝑎2
+ 3𝑎 + 2-(𝑎2
+ 3𝑎)=2
Activity5(closure)
Teachersummarisetheresultusedintheaboveproblem
Activity6(review)
Teacherasksthestudentstochecktheanswerusingdifferentmethods
Followupactivity
Findmorepatternintheabovepatterns.