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MATHEMATICS LESSON PLAN 2017-18

CLASS: 9TH 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.

Institution’s Name:- Adarsha Vidyalaya Hunashyal P.B Teacher’s Name: Prasanna.Keshava.Hegde

Unit Name:- Bridge course No. of periods required:

Date:- From:- To:-Objectives:

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.

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LEARNING COMPETENCIES

ACTIVITIES FAVOURABLE TO LEARNING

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TEACHER’S INTROSPEC

TIONTools Techniques

1 Pre - test: 1.Based on the fundamental concepts of mathematics.2. Conducting pretest

Chart showing Basic concepts of mathematics

Written test

Question paper

2 Bridge course classes

By knowing the abilities of children, conducting the classes to improve basic knowledge of mathematics.

Discussion Discussion and solving some problems.

3 Post - test: Based on teaching of classes in above course, conducting posttest.

Written test Question paper

SUBJECT TEACHER’S SIGN PRINCIPAL’S/H.M SIGN


Unit Name:- Number System No. of periods required:Date:- From:- To:-Prerequisite Knowledge Rational Numbers :- VIII

Objectives:1. Describe the concept of irrational numbers2. Represent irrational numbers on a number line3. Describe the concept of real numbers and Find the decimal expansions of real numbers4. Express the numbers with terminating decimal expansion and non-terminating recurring decimal expansion as rational

numbers5. Express a number with non-terminating and nonrecurring decimal expansion as a rational number6. Determine irrational numbers between two rational numbers and Represent real number on a number line using the process

of successive magnification7. Describe the results of various mathematical operations of irrational numbers and Describe the various properties with respect

to the real numbers8. Represent the square root of a real number on a number line and Verify the identities related to the square roots using

Examples9. Rationalise the denominator of a given irrational number and Verify the laws of exponents involving the same bases10. Apply the laws of exponents to the real numbers and Verify the laws of exponents involving different bases but the same

exponents.

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1 1.Basic terms: 1. Recurringdecimals.2.Non-recurringDecimals3. Terminatingdecimals.4. non- terminatingdecimals.

*Recalling the meaning of terminating and non-terminating decimals. *Listing the examples of terminating and non-terminating decimals.*Activity given in text book pagenumber 18 , 19 , 21.

Black Board Activity

DiscussionProblemsolving

Group

Discussionexercise

problems

2.Irrational *Recalling the meaning of naturalnumber, Whole numbers,

chart showing

Problem Question

Integers, Rational numbers

* Find the 3 irrational numbersbetween the given 2 numbers.

someexamples

Paper exercise activity

3. Rational numbersbetween givennumber.

*Find the rational numbers between the given numbers and listing them.*Write down two irrational numbers and write 5 rational numbers between them.

Black Board

chart

Problemsolving

Exerciseactivitygroup discussion

4.Irrational numbers between givennumber

*Write down two rational numbers and write 5 irrational numbers between them.

Black Boardwork

ActivityDiscussion

Solving exercise problems

5.Real numberssystem.

*Meaning of real numbers*Definition of real numbers

Black Boardchart

Problemsolving


6.Properties of Real number

*Writing the basic properties of Real numbers and solving exercise problems.

Chart showingsomeproperties ofnumbers

Discussion Exerciseactivitygroup discussion

7.Real numbers on number line

*Representing on number line. Using Graph board

ActivityDiscussionProblemsolving

Exerciseactivitygroup discussion

8. Laws of Exponents to the real numbers

Verify the laws of exponents involving different basesbut the same exponents

Black Boardwork

ActivityDiscussionProblemsolving




Unit Name:- Polynomials No. of periods required:

Date:- From:- To:-

Prerequisite Knowledge Algebraic Expressions and Identities: Class VIII

Objectives:1. Identify if a given algebraic expression is a polynomial and Name a polynomial based on its degree2. Find the zeroes of a given polynomial3. Prove the Remainder Theorem and Find the remainder using the Remainder Theorem when a polynomial is divided by a linear

polynomial4. State the Factor Theorem and Verify if a linear polynomial is the factor of a given polynomial5. Factories polynomials using the Factor Theorem or the splitting method6. Derive the given algebraic identity 7. Evaluate polynomials using algebraic identities8. Factories polynomials using algebraic identities

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Introduction to polynomial

*Defining polynomial,*Examples for polynomial,*General form of polynomial

Black Board Discussion Groupdiscussion

Types of polynomials

*Types of polynomial depending on term monomial,binomial, trinomials*types of polynomial depending on degreeLinear, Quadratic,Qubic

Polynomials of one variable

chart showing

someexamples

Oralquestions

Evaluation and Observation

Zeroes of a polynomial

Finding the zeroes of a given polynomial by substituting the number.

Black Board

chart

DiscussionProblemsolving

Problemsolving

Remainder Theorem

*Proving the Remainder Theorem * Finding the remainder using the Remainder Theorem when a polynomial is divided by a linear polynomial

Black Boardwork

solving Problem

Problemsolving

Factorisation of polynomials

*factor theorem* finding the factors of polynomial by splitting method or by factor theorem.

Black Boardchart

solving Problem

Problemsolving

Some important identities

*Proving 14 identities using multiplicationof polynomials.*Solving problems on identities.

Chart showingidentities

solving Problem

Problemsolving

SUBJECT TEACHER’S SIGN

PRINCIPAL’S/H.M SIGN


Unit Name:- Coordinate Geometry No. of periods required:

Date:- From:- To:-Prerequisite Knowledge Introduction to Graphs: Class VIIObjectives:

1. Describe the features of the Cartesian plane2. Locate the quadrant of a given point on the Cartesian plane3. Write the coordinates of the points marked on the Cartesian plane 4. Plot a point on the Cartesian plane if its coordinates are given

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1 Introduction *Discovery of graphs*X-Y plane*Definition of Cartesian plane*Recalling x-axis and y-axis and their +ve and +ve sides.

Black Boardchart

Finding the various features marked on a topographical map.

Groupdiscussion

2 Cartesian plane *Defining the Cartesian plane.*Abscissa, ordinate and Quadrants

Cartesian Plane chart

DiscussionOralquestions

Evaluation and Observation

3 Locating the given point

*Locating the points quadrant on the Cartesian plane.*Writing the Coordinates of a point.

Presentation on Cartesian Plane

Solving Problem

Problemsolving

4 Plotting the given point

* Ploting the point on Cartesian plane with the help of given co-ordinates of the point.

Presentation on Cartesian Plane

Solving ProblemDiscussion

Problemsolving



Unit Name:- Linear equations in two variables No. of periods required:


1. Explain the term ‘linear equation in two variables Identify if a given equation is a linear equation in two variables Find solutions for the given linear equations Represent a linear equation in two variables on the Cartesian plane Represent the solutions of an equation on a number line and the Cartesian plane

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1 Introduction Recall of linear with one variable andexamples

Rolling graphboard

2 LinearEquations

Examples on linear equation anddefinition of linear equation

Colour chalkpieces

3 Solution oflinear equation

Solving linear equations and verifying

4 Graph of linearequation in twovariables

Solving linear equation with twovariables by graphical methods

5 Equation oflines parallel tox-axis and y-axis

Giving geometric representation forequations and solving examples



Unit Name:- Introduction to Euclid's Geometry No. of periods required:


Explain Euclid's definitions of different terms, such as apoint, line, straight line, surface and plane surface Explain Euclid’s five postulates Explain Euclid’s axioms Euclid’s fifth postulates equivalent

.

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1 Introduction History of origin of geometry

2 Euclid’sDefinitions,Axiom andpostulations

Euclid’s element and undefinedterms of Euclid’s geometry andrecapitulates of axioms andpostulates

Charts ofEuclid’sAxioms and

postulates

3 Equivalentversions ofEuclid’s Fifthpostulate

5th postulateProving Euclid’s 5 postulations bymany examples



Unit Name:- Lines and Angles No. of periods required:


Explain the terms ‘line’, ‘ray’, ‘line segment’, ‘collinear points’, ‘intersecting lines’ and ‘parallel lines’ Describe the different types of angles Explain the terms ‘adjacent angles’, ‘linear pair of angles’, ‘complementary angles’, ‘supplementary angles’ and ‘vertically

opposite angles’ Prove that vertically opposite angles are equal Describe the angles formed by a transversal Explain the corresponding angles axiom Prove that if a transversal intersects two parallel lines, then each pair of alternate interior angles is equal Prove that if a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is

supplementary Prove that the lines which are parallel to the same line are parallel to each other Prove that the sum of three angles of a triangle is 180o.

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1 Introduction Definitions of lines and Angles Charts oftypes ofangles

2 Basic Terms andDefinitions

Basic angles definitions and types of anglesco-linear points and non-collinear points.

Model ofangle sumproperty

3 Intersecting lines and Non-intersecting lines

Types of pair of angles and characteristicsLinear pairs of angles, vertically oppositeangles etc

4 Pairs of angles Examples for parallel lines and transverseline. And theorems

5 Parallel lines to Examples characteristics and theorems

the same line

6 Angles sumproperties of atriangles

Theorems on angles sum properties andexamples

Triangularmodels



Unit Name:- Triangles No. of periods required:


Describe congruent triangles List the four criteria for the congruence of triangles Explain the criteria and non-criteria for the congruence of triangles Prove that the angles opposite to the equal sides of an isosceles triangle are equal Prove that the sides opposite to the equal angles of a triangle are equal Prove that if two sides of a triangle are unequal, then the angle opposite to the longer side is larger Prove that in any triangle, the side opposite to the larger angle is longer Prove that the sum of any two sides of a triangle is greater than the third side.

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1 Introductions Recalling some properties of triangles whichhave studies in earlier classes

Models oftriangles

2 Congruence oftriangles

Describing congruent triangles and types oftriangles

3 Criteria forcongruence oftriangles

SAS congruent Rules, ASA congruent ruletheorems and examples

CongruenceRule models

4 Some propertiesof triangles

Theorems based on properties of angles andexamples solving exercise

5 Some morecriteria forcongruence oftriangles

Theorems on SSS and RHS congruent rulesand solving examples based on SSS and RHStheorems

6 Inequalities intriangles

Thread activities and 7.8 theorems andexamples solving exercise


Unit Name:- Area of Parallelograms and Triangles No. of periods required:


Identify the geometrical figures that have the same base and lie between the same parallels Explain that the parallelograms having the same base and lying between the same parallels are equal in area Explain the different geometrical figures having the same base & lying between the same parallels may not be equal in area Prove that the parallelograms having the same base and lying between the same parallels are equal in area Prove that the parallelograms having the same base and equal in area lie between the same parallels PT the area of a triangle is equal to half the area of a parallelogram if they have the same base & lie between the same parallels Prove that two triangles having the same base or equal

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1 Introduction Recall properties of parallel gram and Models of

2 Figures on thesame base &between the sameparallels

Activity Identifying geometrical figures thathaving same base and lying between sameparallel

Geo board

3 Parallelograms on the same base &between the same parallels

Activity performing using boardAnd theorem9.1. solving exercise

By using the modes of straws

4 on the same base&between the sameparallels

Activity performing using boardAnd theorem. solving exercise

By using flash cards



Unit Name:- Circles No. of periods required:


Define a circle Define various terms, such as centre, circumference, radius, chord, diameter, arc, segment and sector, in relation to a circle Describe the features of the diameter of a circle Describe various areas covered by a circle on a plane Prove that a perpendicular from the centre of a circle to a chord bisects the chord Prove that the line drawn from the centre of a circle to bisect a chord is perpendicular to the chord Prove that the equal chords of a circle are equidistant from the centre of a circle Prove that the chords equidistant from the centre of a circle are equal in length Prove that the equal chords of a circle subtend equal angles at the centre Prove that the chords that subtend equal angles at the centre of a circle are equal in length Define the congruent arcs of a circle and their properties Prove that the congruent arcs of a circle subtend equal angles at the centre of a circle Prove that the angle subtended by an arc at the centre is double the angle subtended by the arc at any other point on the

remaining part of the circle Prove that angles subtended by an arc at all points within the same segment of a circle are equal

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1 Introductions Examples of circles and introduction tocircles

By Circle model

2 Circles and its related terms: review

Radius , diameter major sector , minor sector,interior and exterior regions of circles

By Circle model

3 Angle Subtended by a Chord at a pointPerpendicular form

the centre to a Chord

Theorem 10.1. solving exercise Using the working chord model(5.6)

4 Circles through threepoints

Activity and theorem 10.3

5 Equal Chords andtheir Distance from

the centre

Drawing Different pairs of circles and solvingexamples theorem 10.6, 10.7

ICT

6 Angle subtended byan Arc of a circle

Proving theorem 10.8 and solving examples By models

7 Cyclic circles Theorem 10.11 and 10.12 and solvingexercise

Black board and ICT



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Unit Name:- Probability No. of periods required:



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Probabilityi)Trailii)Randomexperimentiii)Sample spaceiv)Empiricalprobabilityv)Classicaldefinition ofprobability

*Meaning and definition of Probability.*Discussing the terms associated with probability.*Activity given in text book page numbers 86 , 88 , 89 and 90

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