189pkh.files.wordpress.com€¦ · Web viewSolving the verbal problems Chart Activity Exercise using suitable formula to showing activity group find simple interest. formula for

MATHEMATICS LESSON PLAN 2017-18

CLASS: 8TH STANDARD

Teacher Name : Prasanna.K.Hegde

AIMS OF LEARNING MATHEMATICS : 1. To enable the students to solve mathematical problems in their daily life.

2. To enable the students to understand the contribution of mathematics to the development of culture and civilization.

3. To develop the thinking and reasoning power of the students.

4. To prepare the child for the further learning in mathematics and other related fields.

5. To develop the child’s appreciation towards the contribution of mathematicians to the field of Mathematics.

6.To develop the habit to verification.

7. To foster the attitudes to be willing to persist in solving problems.

8. To develop in the child rational and scientific attitude towards life.

BRIDGE COURSE: Date: From ______________ to _________________.

SL LEARNING ACTIVITIES Evaluation Date of TEACHER’SFAVOURABLE TO TLMNO COMPETENCIES Activities SIGNLEARNING Tools Techniques

1 Pretest: Based on the fundamental Written test Questionconcepts of mathematics paperconducting pretest.

Bridge course Chart Discussionclasses By knowing the abilities of showing Discussion

children, conducting the Basic and solvingclasses to improve basic concepts of someknowledge of mathematics. mathematics. Written test problems.

Posttest:Based on teaching of Questionclasses in above course, paperconducting posttest.

www.189pkh.wordpress.com

Unit Name: Playing with Numbers Date: From ___________to ______________

Objectives: 1. Pupil will be able to write a given natural in its general form (in base 10).2. Pupil will be able to formulate some games and puzzles involving numbers.3. Pupil will be able to understand how to divide one integer by other to get quotient and remaider4. Pupil will be able to construct (3 x 3) magic squares.5. Pupil will be able to perform divisibility test for 3, 4, 5, 9 & 11.


1 General form of Recalling the place value Black Discussion Groupgiven chart and assuming the place Board Problem DiscussionNumbers values of digits in given Chart solving exercise

number. problems

Recalling the concept ofwriting the given numbers interms of base 10.

Writing the given numbers inthe general form.

2 Normal form of Recapitalizing the place value Place Oral Test Questiongiven chart and knowing the place value activity paperNumbers value of given expansion. chart exercise

Writing the given expansionactivity

to numbers into general formof numbers.

3 Alpha Numerical Solving the Puzzles by the Black Activity Exercisepuzzles help of teacher. Board activity group

Finding the value of alphabetsChart discussion

which are involved in theproblem

4 Finding Quotient and Dividing the given number by Black Discussion SolvingRemainder 13 by known method & Board exercise

Writing the quotient and Work problemsremainder.


SL LEARNING ACTIVITIES EvaluationDate of TEACHER’S

FAVOURABLE TO TLMNO COMPETENCIES Activities SIGNLEARNING Tools Techniques

5 Finding Quotient and Dividing the given number Black Discussion SolvingRemainder by 304 by known method & Board exercise

Writing the quotient and Work problemsremainder.

6 Constructing a (3 x Try to understand the rule to Chart Activity Exercise3) Magic Square fill the given numbers in the Showing activity group

square. Sample discussionmagic

Preparing the magic square Square andof given order.

NewspaperFinding the Magic sum in the showingprepared magic square. Sudoku

puzzle.7 Divisibility test by 4 Determining whether given BB work Questioning Questionnaire

number is divisible by 4 ornot, without actual division.

8 Divisibility test by 3 Determining whether given BB work Discussion Solving& 9 number is divisible by 3 or exercise

not, without actual division. problemsDetermining whether givennumber is divisible by 9 ornot, without actual division.

9 Divisibility test by 5 Determining whether given BB work Questioning Questionnaire& 10 number is divisible by 5 or

not, without actual division.Determining whether givennumber is divisible by 10 ornot, without actual division.

10 Divisibility test by Determining whether given BB work Activity Exercise11. number is divisible by 11 or activity group

not, without actual division. discussionDefining the termPalindrome.Discussing the examples ofPalindrome.

SUBJECT TEACHER’S SIGN PRINCIPAL’S SIGN

Unit Name:Squares, Square Roots, Cubes & Cube roots. Date: From ___________to __________Objectives:

2. Pupil will be able to recognize the digits in unit’s place of a square number.3. Pupil will be able to obtain the remainders when a perfect square is divided by 3 & 4.4. Pupil will be able to understand some methods of finding perfect squares and square roots.5. Pupil will be able to find the value of perfect cubes and their cube roots.


1 Perfect squares Defining the term Perfect Black Discussion GroupSquare. Board Problem Discussion

Chart solving exerciseWriting the perfect squares of problemsgiven numbers.

Identifying the perfectsquares among the givennumbers.

2 Squaring a Number: Finding the square of a Chart Oral Test Questionnumber by direct method of showing activity paperMultiplication. the exercise

formula. activityFinding the square of anumber by using theformulae (a + b)2.

3 Square root of given Finding the square root of a Black Activity ExercisePerfect square given number by the method Board activitynumber. of Factorization. Chart group

discussion4 Problems on Square Solving exercise problems Black Discussion Solving

roots based on the concept of Board exerciseSquare root. Work problemsSolving verbal problems.

5 Square root Finding the nearest integer Black Discussion Solving

1. Pupil will be able to write the examples for perfect squares and their square roots.


to the square root of the Board exercisegiven numbers. Work problems

6

Perfect Cubes Defining the term Perfect Chart Activity ExerciseCubes. Showing activity

groupSome discussion

Writing the perfect Cubes of example ofgiven numbers. prefect

cubes.Identifying the perfectCubes among the givennumbers.

7 Identifying the Identifying the perfect Chart QuestioningQuestionnaire

perfect cubes Cubes among the given showingnumbers between 1 and numbers100. between 1Identifying the perfect to 500.Cubes among the givennumbers between 1 to 500.

8 Finding the cube root Solving exercise problems BB work Discussion Solvingof the given number based on the concept of exerciseby the method of Cube root. problemsFactorization

9 Finding the cube root Solving exercise problems BB work Discussion Solvingof the given number based on the concept of exerciseby the method of Cube root. problemsEstimation.

10 Finding the nearest Solving exercise problems BB work Activity Exercise

integer to the cube based on the concept ofactivity group

root of given Cube root. discussionnumber.

SUBJECT TEACHER’S SIGNPRINCIPAL’S SIGN


Unit Name:Rational Numbers.

Date: From ___________to ______________Objectives: 1. Pupil will be able to understand the concept of Fraction and Rational numbers.

2. Pupil will be able to add and multiply the Rational numbers.3. Pupil will be able to write the properties of rational numbers with respect to addition

and multiplication.4. Pupil will be able to verify the properties of rational numbers.5. Pupil will be able to represent the rational numbers on Number line.


1 Rational Numbers. Defining the term Rational Chart Discussion ExerciseNumbers. Showing activity

Some groupWriting the Rational example of discussionNumbers of their own. Rational

Numbers.Identifying the RationalNumbers among the givennumbers.

2 Mathematical Writing the Mathematical Properties Oral Test Discussionformats of formats of Properties such as chart. activityProperties. Commutative property,

Associative property,Distributive property and soon,

3 Identification of the Using the numerical Black Activity Exerciseproperty in the given statements identifying the Board activitystatements. property related to rational Chart group

numbers. discussion4 Equivalent rational Finding the equivalent Black Discussion Solving

numbers to the given rational numbers to the given Board exerciserational number. rational number. Work problems



5 Identification of Identification the Black Board Discussion Solvingproperties. properties which are Work exercise

related to Rational problemsNumbers.

6 Commutative Verifying the Chart Activity Exerciseproperty of addition commutative property for showing activity group

the given rational mathematical discussionnumbers. procedure to

verifyproperty.

7 Commutative Verifying the BB work Questioning Questionnaireproperty of commutative property formultiplication. the given rational

numbers.8 Distributive Verifying the BB work Discussion Solving

property commutative property for exercisethe given rational problemsnumbers.

9 Additive inverse of a Finding the additive BB work Questioning QuestionnaireRational Number. inverse of the given

rational number.

10 Multiplicative Finding the Multiplicative BB work Activity Exerciseinverse of a Rational inverse of the given activity groupNumber. rational number. discussion

SUBJECT TEACHER’S SIGNPRINCIPAL’S SIGN


Unit Name:Commercial Arithmetic Date: From___________to ___________Objectives: 1. Pupil will be able to define the term percentage.

2. Pupil will be able to identify profit and loss in commercial transactions3. Pupil will be able to calculate discount and discount percentage.4. Pupil will be able to solve the problems on commission and commission percentage.5. Pupil will be able to calculate simple interest. Principal, time and rate of interest.


1 Percentage Defining the term percentage. Black Discussion GroupBoard Problem Discussion

Writing the percentage Chart solving exercisevalues of their own. problems

2 Profit Solving the verbal Chart Oral Test Questionproblemsusing suitable showing activity paperformula to find Profit. formula for exercise

profit activity

P = SP - CP3 Profit % Solving the verbal problems Black Activity Exercise

using suitable formula to find Board activityProfit%. chart group

discussionPROFIT% = PROFIT X 100

C P

4 Loss Solving the verbal problems Chart Discussion Solvingusing suitable formula to find showing exerciseLoss. formula for problems

L = CP - SP Loss.5 Loss% Solving the verbal problems Black Discussion Solving

using suitable formula to Board exercisefind loss%. Work problems

LOSS% =

LOSS

X 100

C P6

Discount Solving the verbal problems Chart Activity Exercise

using suitable formula to Showing activity groupfind Discount. Formula discussion

forD = MP x RATE OF discount.DISCOUNT.

7 Discount % Solving the verbal problems BB work Questioning Questionnaireusing suitable formula tofind percentage discount.

8 Commission Solving the verbal problems BB work Discussion Solvingusing suitable formula to exercisefind commission. problems

Commission = commissionrate x S P

9 Simple interest. Solving the verbal problems Chart Activity Exerciseusing suitable formula to showing activity groupfind simple interest. formula for discussion

simple

I =PTR interest100

10 VAT Knowing the concept of tax BB work Discussion Solvingand vat exercise

problemsCalculating the vat with thehelp of a commercialtransaction.



Unit Name: Statistics. Date: From ___________to ______________

Objectives: 1. Pupil will be able to explain the terms like Data, Range, Frequency, Class interval.2. Pupil will be able to construct frequency distribution table for given class intervals3. Pupil will be able to draw histogram for the given frequency distribution table.4. Pupil will be able to define Mean, Median and Mode.5. Pupil will be able to calculate Mean, Median and Mode for group and ungroup data.


1 Statistics Defining the term Statistics. Black Discussion GroupBoard Problem Discussion

Knowing the meaning of the Chart solving exerciseterm statistics. problems

2 Numerical Data Defining the term Numerical Chart Oral Test QuestionData. showing activity paper

some exerciseKnowing the meaning of numerical activityNumerical data. data.

3 Frequency Defining the term FDT. Black Activity Exercisedistribution table Board activity

Knowing the procedure to Chart groupprepare the Frequency discussiondistribution table.

4 Grouped data and Knowing the meaning of the Black Discussion SolvingUngrouped data. Grouped data and Board exercise

Ungrouped data. Work problems

Applying the concept ofGrouped data andUngrouped data for givenproblems


5 Histogram for given Knowing the meaning of Black Discussion SolvingFrequency Histogram Board exercisedistribution table

Construction of HistogramWork problems

for the given frequencydistribution table

Analysis of Numerical datathrough Histogram.

6 Mean for grouped Knowing the meaning of Chart Activity Exercisedata mean for grouped data. Showing activity group

Calculating mean for given Formula discussiondata using table. for meanAnalysis of Numerical data forthrough mean. grouped

data.7 Mean for ungrouped Calculating mean for given BB work Questioning Questionnaire

data ungrouped data

Analysis of Numerical datathrough mean.

8 Median for grouped Knowing the meaning of BB work Discussion Solvingdata median. exercise

Calculating median for problemsgiven data using table.Analysis of Numerical datathrough mean..

9 Median for Calculating median for BB work Questioning Questionnaireungrouped data given ungrouped data

Analysis of Numerical datathrough median.

10 Mode for grouped Knowing the meaning of BB work Activity Exercisedata. Mode. activity group

Calculating the Mode fordiscussion

given data.



Unit Name : Algebraic Expressions.Date: From___________to ___________

OBJECTIVES 1. Meaning of polynomials2. Addition and subtraction of polynomial.3. Multiplication of polynomial.

SL LEARNING ACTIVITIES FAVOURABLE TO Evaluation Date of TEACHER’STLM

NO COMPETENCIES LEARNING Activities introspectionTools Techniques

1 Introduction to Recalling algebraic terms Chart , black Explanation Chartalgebraic terms constants ,variables, and board, etc.

defining algebraic expression

2 Addition and Solving problems on subtraction Test ExamSubtraction of and addition using rulespolynomials

3 Addition and Extending the knowledge of Problems ExerciseSubtraction of previous class to solve thesebinomials and problems.polynomial

4 Multiplication Following the rules of Oral Check listof monomial multiplication solving problems.by monomial

5 Multiplication Extending the knowledge of Discussion Groupof polynomial previous class to solve these discussion

problems.

6 Some special Using multiplication of Chart Problems Exerciseproducts polynomial deriving formulae containing

for (a+b),(x+y),(a-b), and a2-b2 Geometricalmeaning offormulae



Unit Name : Factorisation. Date: From___________to ___________OBJECTIVES

1. Factories an algebraic expression by taking out common factors.2. Factories an expression by grouping appropriate terms.3. Factories a trinomial expression.4. Factories a square trinomial expression by using identities

SL LEARNING ACTIVITIES FAVOURABLE TOEvaluation

Date of TEACHER’STLM

NO COMPETENCIES LEARNING Tools Techniques Activities introspection

1 Introduction Definition of factorization. Charts of Recapitalization Drill workidentities and of identities. to solvegrouping of somemonomials, problemsbinomials and2 Different Factorization by taking common

methods of factors, by grouping, difference of trinomials.factorization two squares.

The sum and product of twopositive if and only if both thenumbers are positive. And ifnegative they are negative

3 Factorization Factorization by a square Drill workof trinomials trinomial. to solve

Solving exercise and additional someproblems problems



Unit Name: LINEAR EQUATIONS IN ONE VARIABLE Date: From___________to ___________

OBJECTIVES 1. The meaning of linear equations in one variable.2.To solve a linear equation I one variables.3. To formulate a linear equations from a verbal problem.4. To verify the solutions

SLLEARNING ACTIVITIES Evaluation

Date of TEACHER’SCOMPETENC FAVOURABLE TO TLMNO IES LEARNING Tools Techniques Activities introspection

1 Definition Introduction *Black Questioning Observationof solution board.and *List ofequations linear

equations2 definition definition of equations, Test Examof linear solution. Given a problemequations by, setting up equations

conforming to the givendata is an important stepin the solution of theproblems.

3 Solving Rule for transforming. Problems Exerciselinear *solving exercise problems

equation in and additional problemsonevariable.

4 Application Applying knowledge of Black board Oral Check lists of linear linear equation to solve

verbalequations.


Unit Name: EXPONENTS Date: From___________to ___________

OBJECTIVES : 1.The concepts of an integral power to a non-zero base.2. To write large numbers in exponential form.3. About the various laws of exponents and their use in simplifying complicated expressions.4.About the validity of these laws of exponents for algebraic variables.




1 Introduction. Explanation of base and Chart of lows of Observation Check listexponents. Expansion of numbers. exponents.Indian contribution to large Blackboardnumbers. Uses of exponents indaily life.

2 Laws of *laws of exponents Drill Problemsexponents. 1)am x an = am+n

2) am ÷an= am-n (If m>n)3) (am)n= am x n .4) (a x b)m = am xbm

5) ( a÷b)m =am÷bm

Stating and explanig these laws

3 Problems on Taking set of problems and Problems Exerciselaws of solvingexponents



Unit Name:INTODUCTION TO GRAPH. Date: From___________to ___________OBJECTIVES 1. Identify a point in the plane using a rectangular coordinate system.

2. Set up a coordinate system and draw graphs of linear curves in such a system.3. Get knows the way the coordinates of a point are related in two different rectangular coordinate system with axes parallel to each other.4. Construction the equation of a straight line by looking at the graph of the straight line on a graph paper.




1 Types of graph Introducing types of graph and Graph board, Explanation Chartdrawing bar graph, pi chart Chart

containingdifferent

2 Coordinate system Using graph chart showing XOX’ types of Explanation Check listand YOY’ defining ordinate, graph.abscises, quadrant

3 Locating Locating points in graph sheet Questions Observationcoordinates in and locating in different points ingiven graph sheet different quadrant

4 Linear graph Using given equation locating Problems Exercise(x,y) points in graph gettingsolution for equation.



Unit Name:AXIOMS, POSTULATES AND THEOREMS Date: From___________to ___________Objectives: 1.The meaning of underlined objects, axioms , postulates and hypothesis

2. That the line, points, plane, space are undefined objects in Euclidean geometry3.Various types of angles and relation among these angles.4.The properties of parallel lines and about Euclid’s fifth postulates.




1 The meaning of Introduction*Charts about Observation Check list

undefined objects, Euclid.*Charts of axioms and2 *That the lines, Meaning and examples of axioms Construction Questionnaire

points, plane, space and postulation.

postulations.*Charts of typesare undefinedof angles.objects in

Euclideangeometry.

3 *Various types of Lines and angles Drawing Check listangles and relation

types of

anglesamong these angles.

4 * The properties of Explanation of properties of Problems Exercisesparallel lines and parallel lines and about Euclid’sabout Euclid’s fifth fifth postulate.postulate.


Unit Name: THEOREMS ON TRIANGLES. Date: From___________to ___________

OBJECTIVES 1. Identify triangles in a collection of figures.2. Classify different types of triangles based on sides and angles.3. Recognize the angle sum property of triangle.4. Identify the interior and exterior angles of a triangle.5. Establish the relation between the exterior and interior opposite angles.6. Prove logically angle sum property of the triangle.7. Solve problems based on the angles of a triangle.



1 Defining Collecting different kinds of Chart , black Explanation Charttriangle figures among those identifying board, etc.

the triangles and definingtriangles

2 Classifying types Drawing different types of Flash Check listtriangles based triangles on their property then cardson elements defining types of triangles

3 Sum of internal Practically showing sum of Discussion Groupangles of a internal angle is 180 and proving discussiontriangle theoretically

4 Relation betweenUsing property of sum of internal Practical Check listexternal and angle and sum of adjutant anglesinternal opposite on a line is 180 proving ext=sumangles opposite internal angles

5 Problems on the Using all above properties Problems Exerciseangles of a finding missing angle in giventriangle problems



Unit Name:Congruency of triangles Date: From___________to ___________OBJECTIVES

*Identify the congruent figures.*Identify the congruent triangles*state the postulates for congruency of triangles.*appropriate the use of congruency of triangles in solving practical day to day problems*Understand that particular triples of elements determine the congruency of triangles*deduce logical methods for proving theorems*Solve problems based on different postulates of congruency




1 *Congruency of *Definition of congruency. Chart of SAS, Oral Questionstriangles * Explanation of corresponding SSS, and ASA*ASA postulates sides and angles. postulatesfor congruency. statements.

2 *Corresponding Statements and proof of the *Chart of Discussion Groupsides and angles. theorems on SAS,ASA. corresponding discussion*SAS postulates Solving problems and additional angles and sides.for the problemscongruency oftriangles.

3 *SSS postulate for SSS postulates. Observation Check listcongruency

4 RHS theorem RHS postulate. Solving problems Problems Exerciseson application of all abovepostulates



Unit Name:CONSTRUCTION OF TRIANGLES Date: From___________to ___________OBJECTIVES Construction of triangles when

*3 side are given*Construction of triangles when 2 sides and 1 angle given visa-vice*One side and hypotenuse is given.*when base, difference of the other two sides and one base angles of a right triangles are given Etc




1 Introduction Recalling basics of triangle. Black board, Observation Check listchart ofproperties oftriangle,2 Construction of Using given data step by step Construction Questionnaire

triangle1. 3sides construction is doing and student geometry box,2. 2-sides,1-angle models offollow the teacherand triangle3. vice-verse aregiven

3 When one side and Constructing triangle and Observation Check listhypotenuse is given following steps

4 Base, difference of Construction of triangle by Problems Exercisesthe other two sides following stepsone base angle ofright angle trianglesare given andsimilarlyconstructingdifferent types oftriangles.



Unit Name: QUADRILATERALS. Date: From___________to ___________OBJECTIVES 1. Recognize quadrilaterals from given list of figures.

2. List out common properties of quadrilaterals.3. Solve the sums related to quadrilaterals.4. Classify different types of quadrilaterals and recognize their properties.5. Transform the problems which occur in daily life related to quadrilaterals to numerical sums and solve them.


Date of TEACHER’STLMNO COMPETENCIES LEARNING Activities introspection

Tools Techniques

1 Definition of Using different types of figures Chart , black Explanation Questionnairequadrilaterals among those identifying board, etc.

quadrilaterals and definingthem according to its property

2 Properties of Listing out one by one properties Questions Questionnairequadrilaterals of quadrilaterals.

3 Problems on Solving problems on Discussion Groupquadrilaterals quadrilateral using its property discussion

and given data

4 Types of Drawing different kinds of Practical Check listquadrilaterals quadrilaterals and naming themand their and listing their properties oneproperties by one

5 Utilizing to their By using day today life Problems Exercisedaily life. problems based on area,

perimeter solving those theywill apply in their life



Unit Name: MENSURATION. Date: From___________to ___________OBJECTIVES 1.Recognize the cubes and cuboidal objects in our life

2. List out the properties of cubes cuboids.3. Relate formulae to given problems.4. Substitute the data in the given formula and solve the problems



1 List of cuboids Collecting all related objects Chart , black Discussion Groupand cubical and identifying their names board, cubes, discussionobjects in day listing their properties cuboidtoday life ,cylinder, cone

,prism etc.2 Formulae of cube Giving a brief idea about TSA,LSA Flash Check listand cuboid VOLUME of cube ,cuboid cards

3 Problem solving Using suitable formulae solving Discussion Groupproblems discussion

4 Application of Solving different problems and Practical Check listmensuration applying them to day today life

getting a wide range ofapplications



Documents

189pkh.files.wordpress.com€¦ · Web viewSolving the verbal problems Chart Activity Exercise using suitable formula to showing activity group find simple interest. formula for