mathematics lesson plan 2017-18 - · pdf filemathematics lesson plan 2017-18 class: 8 th...

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’S

FAVOURABLE TO

TLM

NO

COMPETENCIES

Activities SIGN LEARNING

Tools Techniques

1 Pretest: Based on the fundamental Written test Question

concepts of mathematics

paper

conducting pretest.

Bridge course Chart Discussion

classes By knowing the abilities of showing Discussion

children, conducting the Basic and solving

classes to improve basic concepts of some

knowledge of mathematics. mathematics. Written test problems. Posttest:

Based on teaching of

Question

classes in above course, paper conducting posttest.

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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 remaider 4. 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.

SL LEARNING ACTIVITIES Evaluation

Date of TEACHER’S

FAVOURABLE TO TLM

NO COMPETENCIES

Activities SIGN

LEARNING

Tools Techniques

1 General form of Recalling the place value Black Discussion Group

given chart and assuming the place Board Problem Discussion

Numbers values of digits in given Chart solving exercise

number. problems

Recalling the concept of writing the given numbers in

terms of base 10.

Writing the given numbers in the general form. 2 Normal form of Recapitalizing the place value Place Oral Test Question

given chart and knowing the place value activity paper

Numbers value of given expansion. chart exercise

Writing the given expansion

activity

to numbers into general form

of numbers.

3 Alpha Numerical Solving the Puzzles by the Black Activity Exercise

puzzles help of teacher. Board activity group

Finding the value of alphabets

Chart discussion

which are involved in the

problem 4 Finding Quotient and Dividing the given number by Black Discussion Solving

Remainder 13 by known method & Board exercise

Writing the quotient and Work problems

remainder.


SL LEARNING ACTIVITIES Evaluation Date of TEACHER’S

FAVOURABLE TO TLM

NO COMPETENCIES


Tools Techniques

5 Finding Quotient and Dividing the given number Black Discussion Solving

Remainder by 304 by known method & Board exercise

Writing the quotient and Work problems

remainder.

6 Constructing a (3 x Try to understand the rule to Chart Activity Exercise

3) Magic Square fill the given numbers in the Showing activity group

square. Sample discussion

magic

Preparing the magic square Square and

of given order. Newspaper

Finding the Magic sum in the showing

prepared magic square. Sudoku

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

number is divisible by 4 or

not, 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. problems

Determining whether given


not, 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 given


not, without actual division. 10 Divisibility test by Determining whether given BB work Activity Exercise

11. number is divisible by 11 or activity group

not, without actual division. discussion

Defining the term

Palindrome.

Discussing the examples of

Palindrome.

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.

SL LEARNING ACTIVITIES Evaluation Date of TEACHER’S FAVOURABLE TO TLM

NO COMPETENCIES


Tools Techniques

1 Perfect squares Defining the term Perfect Black Discussion Group

Square. Board Problem Discussion

Chart solving exercise

Writing the perfect squares of problems

given numbers.

Identifying the perfect

squares among the given

numbers.

2 Squaring a Number: Finding the square of a Chart Oral Test Question

number by direct method of showing activity paper

Multiplication. the exercise

formula. activity

Finding the square of a number by using the

formulae (a + b)2.

3 Square root of given Finding the square root of a Black Activity Exercise

Perfect square given number by the method Board activity

number. of Factorization. Chart group

discussion

4 Problems on Square Solving exercise problems Black Discussion Solving

roots based on the concept of Board exercise

Square root. Work problems

Solving verbal problems.

5 Square root Finding the nearest integer Black Discussion Solving

to the square root of the Board exercise

given numbers. Work problems

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

6 Perfect Cubes Defining the term Perfect Chart Activity Exercise

Cubes. Showing

activity

group

Some discussion

Writing the perfect Cubes of example of

given numbers. prefect

cubes.

Identifying the perfect

Cubes among the given

numbers.

7 Identifying the Identifying the perfect Chart Questioning Questionnaire

perfect cubes Cubes among the given showing

numbers between 1 and numbers

100. between 1

Identifying the perfect to 500.

Cubes among the given

numbers between 1 to 500.

8 Finding the cube root Solving exercise problems BB work Discussion Solving

of the given number based on the concept of exercise

by the method of Cube root. problems

Factorization

9 Finding the cube root Solving exercise problems BB work Discussion Solving

of the given number based on the concept of exercise

by the method of Cube root. problems

Estimation.

10 Finding the nearest Solving exercise problems BB work Activity Exercise

integer to the cube based on the concept of

activity

group

root of given Cube root. discussion

number.

SUBJECT TEACHER’S SIGN

PRINCIPAL’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.


NO COMPETENCIES


Tools Techniques

1 Rational Numbers. Defining the term Rational Chart Discussion Exercise

Numbers. Showing activity

Some group

Writing the Rational example of discussion

Numbers of their own. Rational

Numbers.

Identifying the Rational

Numbers among the given

numbers.

2 Mathematical Writing the Mathematical Properties Oral Test Discussion

formats of formats of Properties such as chart. activity

Properties. Commutative property,

Associative property,

Distributive property and so

on,

3 Identification of the Using the numerical Black Activity Exercise

property in the given statements identifying the Board activity

statements. property related to rational Chart group

numbers. discussion

4 Equivalent rational Finding the equivalent Black Discussion Solving

numbers to the given rational numbers to the given Board exercise

rational number. rational number. Work problems



NO COMPETENCIES


Tools Techniques

5 Identification of Identification the Black Board Discussion Solving

properties. properties which are Work exercise

related to Rational problems

Numbers.

6 Commutative Verifying the Chart Activity Exercise

property of addition commutative property for showing activity group

the given rational mathematical discussion

numbers. procedure to

verify

property.

7 Commutative Verifying the BB work Questioning Questionnaire

property of commutative property for

multiplication. the given rational

numbers.

8 Distributive Verifying the BB work Discussion Solving

property commutative property for exercise

the given rational problems

numbers.

9 Additive inverse of a Finding the additive BB work Questioning Questionnaire

Rational Number. inverse of the given

rational number.

10 Multiplicative Finding the Multiplicative BB work Activity Exercise

inverse of a Rational inverse of the given activity group

Number. rational number. discussion


PRINCIPAL’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 transactions 3. 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.


NO COMPETENCIES


Tools Techniques

1 Percentage Defining the term percentage. Black Discussion Group

Board Problem Discussion

Writing the percentage Chart solving exercise

values of their own. problems

2 Profit Solving the verbal Chart Oral Test Question

problemsusing suitable showing activity paper

formula to find Profit. formula for exercise

profit activity

P = SP - CP

3 Profit % Solving the verbal problems Black Activity Exercise

using suitable formula to find Board activity

Profit%. chart group

discussion PROFIT% = PROFIT X 100

C P

4 Loss Solving the verbal problems Chart Discussion Solving

using suitable formula to find showing exercise

Loss. formula for problems

L = CP - SP Loss.

5 Loss% Solving the verbal problems Black Discussion Solving

using suitable formula to Board exercise

find loss%. Work problems

LOSS% =

LOSS

X 100

C P

6 Discount Solving the verbal problems Chart Activity Exercise using suitable formula to Showing activity group

find Discount. Formula discussion

for

D = MP x RATE OF discount.

DISCOUNT.

7 Discount % Solving the verbal problems BB work Questioning Questionnaire

using suitable formula to

find percentage discount.

8 Commission Solving the verbal problems BB work Discussion Solving

using suitable formula to exercise

find commission. problems

Commission = commission

rate x S P

9 Simple interest. Solving the verbal problems Chart Activity Exercise

using suitable formula to showing activity group

find simple interest. formula for discussion

simple

I = PTR

interest 100

10 VAT Knowing the concept of tax BB work Discussion Solving

and vat exercise

problems

Calculating the vat with the

help of a commercial

transaction.


PRINCIPAL’S SIGN


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 intervals 3. 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.


NO COMPETENCIES


Tools Techniques

1 Statistics Defining the term Statistics. Black Discussion Group

Board Problem Discussion

Knowing the meaning of the Chart solving exercise

term statistics. problems

2 Numerical Data Defining the term Numerical Chart Oral Test Question

Data. showing activity paper

some exercise

Knowing the meaning of numerical activity

Numerical data. data.

3 Frequency Defining the term FDT. Black Activity Exercise

distribution table Board activity

Knowing the procedure to Chart group

prepare the Frequency discussion

distribution table.

4 Grouped data and Knowing the meaning of the Black Discussion Solving

Ungrouped data. Grouped data and Board exercise

Ungrouped data. Work problems

Applying the concept of

Grouped data and

Ungrouped data for given

problems


5 Histogram for given Knowing the meaning of Black Discussion Solving

Frequency Histogram Board exercise

distribution table Construction of Histogram

Work problems

for the given frequency

distribution table

Analysis of Numerical data through Histogram. 6 Mean for grouped Knowing the meaning of Chart Activity Exercise

data mean for grouped data. Showing activity group

Calculating mean for given Formula discussion

data using table. for mean

Analysis of Numerical data for

through mean. grouped

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

data ungrouped data

Analysis of Numerical data through mean. 8 Median for grouped Knowing the meaning of BB work Discussion Solving

data median. exercise

Calculating median for problems

given data using table.

Analysis of Numerical data

through mean.. 9 Median for Calculating median for BB work Questioning Questionnaire

ungrouped data given ungrouped data

Analysis of Numerical data through median. 10 Mode for grouped Knowing the meaning of BB work Activity Exercise

data. Mode. activity group

Calculating the Mode for

discussion

given data.



Unit Name: Algebraic Expressions. Date: From___________to ___________

OBJECTIVES 1. Meaning of polynomials

2. Addition and subtraction of polynomial.

3. Multiplication of polynomial.

SL LEARNING ACTIVITIES FAVOURABLE TO Evaluation

Date of TEACHER’S TLM

NO COMPETENCIES LEARNING

Activities introspection Tools Techniques

1 Introduction to Recalling algebraic terms Chart , black Explanation Chart

algebraic terms constants ,variables, and board, etc.

defining algebraic expression

2 Addition and Solving problems on subtraction Test Exam

Subtraction of and addition using rules

polynomials 3 Addition and Extending the knowledge of Problems Exercise

Subtraction of previous class to solve these

binomials and problems.

polynomial 4 Multiplication Following the rules of Oral Check list

of monomial multiplication solving problems.

by monomial

5 Multiplication Extending the knowledge of Discussion Group

of polynomial previous class to solve these discussion

problems.

6 Some special Using multiplication of Chart Problems Exercise

products polynomial deriving formulae containing

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

meaning of

formulae



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



NO COMPETENCIES LEARNING Tools Techniques Activities introspection

1 Introduction Definition of factorization. Charts of Recapitalization Drill work

identities and of identities. to solve

grouping of some

monomials, problems

binomials and

2 Different Factorization by taking common

methods of factors, by grouping, difference of trinomials.

factorization two squares.

The sum and product of two

positive if and only if both the

numbers are positive. And if

negative they are negative

3 Factorization Factorization by a square Drill work

of trinomials trinomial. to solve

Solving exercise and additional some

problems 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

SL LEARNING ACTIVITIES Evaluation

Date of TEACHER’S COMPETENC FAVOURABLE TO TLM

NO IES LEARNING Tools Techniques Activities introspection

1 Definition Introduction *Black Questioning Observation

of solution board.

and *List of

equations linear

equations

2 definition definition of equations, Test Exam

of linear solution. Given a problem

equations

by, setting up equations

conforming to the given

data is an important step

in the solution of the

problems.

3 Solving Rule for transforming. Problems Exercise

linear *solving exercise problems

equation in and additional problems

one

variable.

4 Application Applying knowledge of Black board Oral Check list

s of linear linear equation to solve

verbal

equations.


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 list

exponents. Expansion of numbers. exponents.

Indian contribution to large Blackboard

numbers. Uses of exponents in

daily life.

2 Laws of *laws of exponents Drill Problems

exponents. 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 Exercise

laws of solving

exponents



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 Chart

drawing bar graph, pi chart Chart

containing

different 2 Coordinate system Using graph chart showing XOX’ types of Explanation Check list

and YOY’ defining ordinate, graph.

abscises, quadrant 3 Locating Locating points in graph sheet Questions Observation

coordinates in and locating in different points in

given graph sheet different quadrant

4 Linear graph Using given equation locating Problems Exercise

(x,y) points in graph getting

solution 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 geometry 3. 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 and

2 *That the lines, Meaning and examples of axioms Construction Questionnaire

points, plane, space and postulation.

postulations.

*Charts of types

are undefined

of angles.

objects in Euclidean

geometry. 3 *Various types of Lines and angles Drawing Check list

angles and relation

types of

angles

among these angles.

4 * The properties of Explanation of properties of Problems Exercises

parallel lines and parallel lines and about Euclid’s

about 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 Chart

triangle figures among those identifying board, etc.

the triangles and defining

triangles 2 Classifying types Drawing different types of Flash Check list

triangles based triangles on their property then cards

on elements defining types of triangles 3 Sum of internal Practically showing sum of Discussion Group

angles of a internal angle is 180 and proving discussion

triangle theoretically

4 Relation betweenUsing property of sum of internal Practical Check list

external and angle and sum of adjutant angles

internal opposite on a line is 180 proving ext=sum

angles opposite internal angles

5 Problems on the Using all above properties Problems Exercise

angles of a finding missing angle in given

triangle 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 Questions

triangles * Explanation of corresponding SSS, and ASA

*ASA postulates sides and angles. postulates

for congruency. statements. 2 *Corresponding Statements and proof of the *Chart of Discussion Group

sides and angles. theorems on SAS,ASA. corresponding discussion

*SAS postulates Solving problems and additional angles and sides.

for the problems

congruency of

triangles.

3 *SSS postulate for SSS postulates. Observation Check list

congruency

4 RHS theorem RHS postulate. Solving problems Problems Exercises

on application of all above

postulates



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 list

chart of

properties of

triangle,

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 of

follow the teacher and triangle

3. vice-verse are

given

3 When one side and Constructing triangle and Observation Check list

hypotenuse is given following steps

4 Base, difference of Construction of triangle by Problems Exercises

the other two sides following steps

one base angle of

right angle triangles

are given and

similarly

constructing

different types of

triangles.



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.





1 Definition of Using different types of figures Chart , black Explanation Questionnaire

quadrilaterals among those identifying board, etc.

quadrilaterals and defining

them according to its property 2 Properties of Listing out one by one properties Questions Questionnaire

quadrilaterals of quadrilaterals.

3 Problems on Solving problems on Discussion Group

quadrilaterals quadrilateral using its property discussion

and given data

4 Types of Drawing different kinds of Practical Check list

quadrilaterals quadrilaterals and naming them

and their and listing their properties one

properties by one

5 Utilizing to their By using day today life Problems Exercise

daily life. problems based on area,

perimeter solving those they

will 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 Group

and cubical and identifying their names board, cubes, discussion

objects in day listing their properties cuboid

today life ,cylinder, cone

,prism etc.

2 Formulae of cube Giving a brief idea about TSA,LSA Flash Check list

and cuboid VOLUME of cube ,cuboid cards

3 Problem solving Using suitable formulae solving Discussion Group

problems discussion

4 Application of Solving different problems and Practical Check list

mensuration applying them to day today life

getting a wide range of

applications

SUBJECT TEACHER’S SIGN PRINCIPAL’S SIGN www.189pkh.wordpress.com

mathematics lesson plan 2017-18 - · pdf filemathematics lesson plan 2017-18 class: 8 th...

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