LESSON PLAN STANDARD ENGLISH MEDIUM LESSON PLAN (NEW SYLLABUS) SUBJECT: MATHEMATICS Chapter No.: 02 Unit name: Polynomials Teacher’s name: ...

9TH STANDARD ENGLISH MEDIUM

LESSON PLAN (NEW SYLLABUS)

SUBJECT: MATHEMATICS

Chapter No.: 02

Unit name: Polynomials Teacher’s name:

Date : From to No. of periods required :

Objectives:

1. To understand the degree of the polynomials2. To check the zeros of the polynomials3. Factorizing the polynomials 4. Remainder theorem5. Algebraic identities

Evaluation6. SLNsO.

Learning competencies

Activities Favourable to learning

TLM

Tools technique

Date of activities

Teacher’s introspection

1

Polynomials in one variable

*finding the degree of the polynomials*writing the coefficients

Black board Discussion, group activity

Exercise problems

2

Zeros of the polynomial

*finding the values of the polynomials* finding the value of zeros of the polynomials

Black board Discussion, group activity

Exercise problems

3Remainder theorem

*finding the remainder without long division*verify: Dividend=divisor x quotient + remainder

Black board, chart, ect

Discussion, group activity ect.

Exercise problems

4Factorization of polynomials

*finding the values k, if some polynomials is given.

Black board, chart

Discussion, group activity

Exercise problems

5Factor theorem

Using factor theorem, determine the factors or not

Black board Discussion Exercise problems

6Algebraic identities

Deriving some identities, explaining how it comes to students

Black board, chart of the identities

Discussion Exercise problems

7Problems on identities

Solving some problems on algebraic identities

Chart, black board ect

Discussion Exercise problems

Chapter No.: 03

Unit name: Coordinate Geometry Teacher’s name:


Objectives:

1. To know about Cartesian system2. To locating points on Coordinate axes3. Locating coordinate points

Evaluation4. SLNO.



TLM

Tools technique

Date of activities


1

Cartesian system

Representing origins and coordinate axes

Black board,Chart, graph, ect


Exercise problems

2

Quadrant of the coordinate system

Locating the points on I, II, III, & IV Quadrant



Exercise problems

3Coordinate of the points

Represents points A, B, C,….. On Cartesian system



Exercise problems

4Plotting a point in the plane if its coordinates are given

Plotting x & values in the Cartesian plane



Exercise problems

Chapter No.: 04

Unit name : Linear equations in two variables Teacher’s name:


Objectives:

1. To know about equations, linear equations in two variables2. To understand a linear equations in two variables has many solutions. 3. To understand the graph of every linear equation in two variables is a straight line4. To find the many solutions in linear equations in two variables5. To know about a linear equations is parallel to x axis and y axis

Evaluation6. SLNO.



TLM

Tools technique

Date of activities


1

Introduction, linear equations

Explaining about linear equations in two variables

Black board, graph ect

Discussion Examples giving

2

Solutions of linear equations

Finding the solutions of linear equations in two variables

Black board, graph ect


Exercise problems

3Graph of linear equations in two variables

*representing the solutions of linear equations in two variables in graph*finding their solutions graphically



Exercise problems

4Applications of linear equations in two variables

Draw the graph of linear equations in two variables for applied questions or verbal equations



Exercise problems

5Equations to lines parallel to x axis and y axis

Representing the equations parallel to x and y axis using some problems



Exercise problems

Chapter No.: 05

Unit name : Introduction to Euclid’s Geometry Teacher’s name:


Objectives:

1. To know about undefined terms.2. To know about Euclid’s postulates and axioms3. Understand the axioms and postulates4. Know about two equivalent versions of Euclid’s fifth postulate.

EvaluationSLNO.



TLM

Tools technique

Date of activities


1

Introduction of famous mathematician and his achievement

Telling to students that famous work of Euclid’s and his achievements*introduction of chapter

Black board, chart, Euclid’s photo, geometry kit ect

Observation

Story telling, discussion

2

Euclid’s definitions, Axioms and Postulates

Explaining some definitions related to geometry*explaining Axioms, postulates with examples

Black board, chart,geometry kit ect


Solving problems on axioms and postulates

3Exercise 5.1 Finding solutions of

exercise 5.1, brief explain related problems of axioms

Black board, geometry kit


Exercise problems

4Theorem 5.1 Explaining of

theorem with examples



Group discussion

5Equivalent versions of Euclid’s fifth postulate

Brief explain about Euclid’s fifth postulate with examples


Exercise problems

Chapter No.: 06

Unit name : Lines and Angles Teacher’s name:


Objectives:

1. To know about linear pair axiom.2. To know about how vertically opposite angles are equal.3. To understand what happened if two transversal lines parallel4. To understand the angle sum property.5. To understand about exterior and interior angles

EvaluationSLNO.



TLM

Tools technique

Date of activities


1

Introduction and basic terms & definition

*introduction about lines and angles*some definition of terms and basic terms

Black board, chart, geometry kit ect

Observation

discussion

2

*Intersecting lines and non-intersecting lines*pairs of angles

Explaining about lines of intersecting and non intersecting*explaining of pairs of angles



Solving problems with examples

3Axiom 6.1, 6.2 and theorems, exercise 6.1

Explaining axioms and theorems with examples*doing exercise 6.1 with interaction by the students

Black board, Chart geometry kit


Exercise problems

4Parallel lines and transversal lines*Axioms and theorems

Explaining of theorem with examples & axioms



Group discussion

5Exercise 6.2 Explaining some

problems related to the exercise 6.2


Group discussion

Exercise problems

6Angle sum property of a triangle

*Explaining about angle sum property of a triangle


Group discussion

Group discussion

7Problems related to the angle sum property

Doing some problems related to the topic


Group discussion

Problem solving


problems related to the exercise 6.3


Group discussion

Exercise problems

Chapter No.: 07

Unit name : Triangles Teacher’s name:


Objectives:

1. To understand the congruent figures2. To know about congruent triangles 3. To understand the rule of the congruent4. To know about sides related to the triangles5. Understand the sum of any two sides of a triangle is greater than the third side

EvaluationSLNO.



TLM

Tools technique

Date of activities


1

Introduction and congruence of triangles

*introduction of triangles*explaining of congruent figures

Black board, chart, geometry kit ect

Observation

discussion

2

Criteria for congruence of triangles

Explaining about congruence of triangles*SAS congruence rule




3Theorem 7.1- ASA congruence rule, case 1, case 2, and case 3

* explaining about ASA congruence rule with examples*solving case1, case2, and case 3


Observation

discussion


problems related to the theorem and solving exercise problems with learners



Exercise problems

5Some properties of triangles

Explaining some properties related to the triangles


Group discussion


6Theorem 7.2 and theorem 7.3

Explaining theorems with suitable examples


Group discussion


7Exercise 7.2 Doing exercise

problems with learners


Group discussion

Solving exercise problems

8RHS congruence rule and SSS congruence rule

Explaining theorems with suitable examples


Group discussion


9Exercise 7.3 Doing exercise



Group discussion


10Inequalities in a triangle

Doing activity related to the theorems of 7.6, 7.7 and 7.8


Group discussion

Activity

11 Exercise 7.4 Doing exercise



Group discussion


Chapter No.: 08

Unit name : Quadrilaterals Teacher’s name:


Objectives:

1. To understand the sum of the angles of the quadrilateral is 3600

2. To know about a diagonal of a parallelogram divides it in to two congruent triangles3. To know about how quadrilaterals is a parallelogram4. To understand diagonals of a rectangle bisect each other and are equal. 5. To understand a line through the mid-point of a side of a triangles parallel to another side

bisects the third side.6. To know about how the quadrilateral formed by joining the mid-points of the sides of a

quadrilateral, in order, is a parallelogram.

EvaluationSLNO.



TLM

Tools technique

Date of activities


1

Introduction and angle sum property of a quadrilateral

*introduction of quadrilaterals*the sum of the all angles in the quadrilaterals will 360 degree.

Black board, chart, models of quadrilaterals geometry kit ect

Observation

discussion

2

*Types of quadrilaterals*Theorems

Explaining about different types of the quadrilaterals *explaining theorem of 8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7 with different examples

Black board, chart, modelsgeometry kit ect



3Conditions for a quadrilaterals become parallelogram

Explaining how a quadrilaterals will become parallelogram

Black board, Chart , models geometry kit

Observation

discussion


problems related to the theorem and solving exercise problems with learners



Exercise problems

5The mid-point theorem

Explaining some properties of triangles(review), mid-point theorem explaination


Group discussion


6Theorem 8.9 and exercise 8.2

Explaining theorems with suitable examples, solving the problems of exercise 8.2


Group discussion


Chapter No.: 09

Unit name : Areas of parallelogram and Triangles Teacher’s name:


Objectives:

1. To understand two congruent figures have equal areas but the converse need not be true2. To know about areas of figures3. To understand how parallelogram (on the same base) are equal in area.4. To understand how the area of the triangle is half the area of the parallelogram5. To know about a median of a divides it into two triangles of equal areas.

EvaluationSLNO.



TLM

Tools technique

Date of activities


1

Introduction and areas of the triangles and parallelogram

Introducing the chapter and explaining about areas of the triangles and parallelogram

Black board, chart, models geometry kit ect

Observation

discussion

2

Figures on the same base and between the same parallelsExercise 9.1

Explaining about how figures on the same base and between the same parallels*solving exercise problems with learners




3Parallelograms on the same base and between the same parallels

Explaining how parallelogram on the same base and between the same parallels*activity done with learners


Observation

discussion

4Theorem 9.1*exercise 9.2

Explaining theorem 9.1 with examples *solving problems of exercise 9.2 with learners



Exercise problems

5Triangles on the same base and between the same parallels*theorem 9.2,

Explaining triangles how triangles on the same base and between the same parallels*explaining


Group discussion


9.3 theorem 9.2 and 9.3 with examples

6Exercise 9.3 Solving the

problems of exercise 9.3 with learners


Group discussion


7Exercise 9.4(optional)

Solving the problems of exercise 9.4(optional) with learners


Group discussion


Chapter No.: 10

Unit name : Circles Teacher’s name:


Objectives:

1. To understand the definition of circles, related to terms of circles.2. To know about equal chords of the circle subtend equal angles at the centre 3. To understand perpendicular from the centre of a circle to a chord bisects the chord.4. To know there is one and only one circle passing through three non-collinear points.5. To understand the angles in the same segment of a circle are equal.6. To understand the angle in a semi-circle is a right angle.7. To know about if sum of a pair of opposite angles of a quadrilateral is 1800, the quadrilateral is

cyclic.

EvaluationSLNO.



TLM

Tools technique

Date of activities


1

Introduction of the chapter and its related to the terms (review)

Introduce the concept of circles, and explaining some related to the circles of terms.


Observation

discussion

2

Angle subtended by a chord at a point.*theorem 10.1*exercise 10.2

Explaining about angle subtended by a chord at a point with examples.*explaining of theorem 10.1 and solving exercise 10.2 with learners




3Perpendicular from the centre to a chord.*theorem 10.3 and 10.4

Explaining about perpendicular from the centre to a chord with examples*explaining theorem 10.3 and 10.4


Observation

discussion

4Circles through three points *theorem 10.5*exercise 10.3

Explaining how circles through three points, theorem no.10.5 and solving the problems of the exercise 10.3



Exercise problems

5Equal chords and their distances from the centre*theorem 10.6*theorem 10.7*exercise 10.4

*explaining of equal chords and their distances from the centre*explaining of theorem no.10.6 with suitable examples*explaining theorem no.10.7 with suitable examples*solving the problems of exercise 10.4 with learners



DiscussionExercise problems

6Angle subtended by an arc of a circle*theorem 10.8*theorem 10.9*theorem 10.10

*explaining about angle subtended by an arc of a circle*explaining of the theorem 10.8, 10.9 and 10.10 with suitable examples




7Cyclic quadrilaterals *theorem 10.11*theorem 10.12*exercise 10.5

Explaining about cyclic quadrilaterals with suitable examples, explain about theorem no.10.11, 10.12.*solving the problems of exercise 10.5




PART- IIChapter No.: 11

Unit name : Constructions Teacher’s name:


Objectives:

1. To understand how to construct a bisect to a given angle.2. To draw the perpendicular to bisector of an given line segment.3. To construct an angle of 600 etc. 4. To construct a triangle given its base, a base angle and the sum of the other two sides.5. To construct a triangle given its base, a base angle and the difference of the other two sides.6. To construct a triangle given its perimeter and its two base angles.

EvaluationSLNO.



TLM

Tools technique

Date of activities


1

Introduction and the basic terms

Introducing the chapter and explaining the basic terms of the chapter

Black board, geometry kit etc.

Observation

discussion

2

Basic constructions-bisector of a given angle

Explaining how to construct the basic terms of bisector of a given angle

Black board, chart,geometry kit etc

Discussion, group activity,constructions


3Exercise 11.1 Solving problems of

the exercise 11.1 with learners


Observation


4Some constructions of triangles*exercise 11.2

Explaining how to construct a triangles when sum of two sides given *solving problems of exercise 11.2 with learners



Exercise problems

Chapter No.: 12

Unit name : Heron’s formula Teacher’s name:


Objectives:

1. To understand the areas of different types of geometrical figures2. To know about how to find the area of triangle3. To understand the finding of area of triangle when 3 sides given.4. To calculate the area of a quadrilateral whose sides and diagonal are given by using Heron’s

formula

EvaluationSLNO.



TLM

Tools technique

Date of activities


1

Introduction and the basic terms related to area and about Herons

Introducing the chapter and explaining the basic terms of the chapter*brief explaining of Heron’s.


Observation

discussion

2

Area of triangle by direct method and by Heron’s formula

Explaining how to calculate the area of a triangle when base and height given*how to find the area of triangle when 3 sides given by using Heron’s formula


Discussion, group activity,


3Exercise 12.1 Solving problems of

the exercise 12.1 with learners by using Heron’s formula

Black board, chart,geometry kit etc.

Observation


4Applications of Heron’s formula in finding areas of quadrilaterals*exercise 12.2

Explaining application problems on Heron’s formula*solving exercise problems of 12.2 with learners



Exercise problems

Chapter No.: 13

Unit name : Surface areas and volumes Teacher’s name:


Objectives:

1. To calculate surface area of a cuboid2. To calculate the surface area of a cube3. To calculate the surface area of a cylinder4. To calculate the total surface area of cylinder5. To calculate the curved surface area of cone6. To calculate the total surface area of a right circular cone7. To calculate the surface area of sphere8. To calculate the volume of cube9. To calculate the volume of cylinder10. To calculate the volume of cone

EvaluationSLNO.



TLM

Tools technique

Date of activities


1

Introduction and the basic terms*surface area of a cuboid and a cone

Introducing the chapter and explaining the basic terms of the chapter*explaining the surface area of cuboid and cone *solving problem on it.


Observation

discussion

2

Surface area of a right circular cylinder*exercise 13.2

Deriving the formula of surface area of a right circular cylinder*solving problems on it and solving exercise problems


Discussion, group activity.

Solving problems with examples*exercise 13.2 problems solving

3Surface area of a right circular cone*exercise 13.3

Explaining the topic surface area of a right circular cone, formula derivation,*solving the problems of exercise 13.3


Observation


4Surface area of a sphere*exercise 13.4

Explaining the surface area of a sphere, formula derivation*solving the problems of exercise 13.4 with learners



Exercise problems

5Volume of a cuboid*exercise 13.5

Explaining the volume of a geometrical figures like cuboid, formula derivation*solving problems on exercise 13.5



Exercise problems

6Volume of a cylinder*exercise 13.6

Explaining the volume of a cylinder, formula derivation.*solving exercise problems 13.6 with learners



Exercise problems

7Volume of a right circular cone*exercise 13.7

Explaining the volume of a right circular cylinder of a cone.*solving the problems of 13.7 with learners.



Exercise problems

8Volume of sphere*exercise 13.8

Explaining the volume of sphere, derivation of volume of sphere.*solving the problems of 13.8 with learners



Exercise problems

Chapter No.: 14

Unit name : Statistics Teacher’s name:


Objectives:

1. To understand facts or figures, collected with a definite purpose, are called data.2. To understand bar graph, pie chart.3. Statistics is the area of study dealing with the presentation, analysis and interpretation of data.4. How data can be presented graphically in the form of bar graphs, histograms and frequency

polygons.5. The three measures of central tendency for ungrouped data.

EvaluationSLNO.



TLM

Tools technique

Date of activities


1

Introduction and collection of data*exercise 14.1

Introducing the chapter and explaining the collection of data*solving the problems of exercise 14.1

Black board, chart, graph chart etc.

Observation

DiscussionSolving the exercise problems

2

Presentation of data*exercise 14.2

Explaining how to represent the data in a manner.*solving the problems of exercise 14.2 with learners

Black board, chart, graph chart etc.


Solving problems with examplesSolving exercise problems

3Graphical representation of data:1.Bar graph2. Histogram3.Frequency polygonsExercise 14.3

Explain how to represent the given data in bar graph, histogram and frequency polygonsSolving problems of the exercise 14.3 with learners.

Black board, chart, chart of graph etc.

Observation

Solving problems with examplesSolving exercise problems

4Measure of central tendency.Mean, median and mode.Exercise 14.4

Explaining the measures of central tendency like mean median and mode with different types of examples*Solving exercise

Black board, chart, etc.


Exercise problems

]

Chapter No.: 15

Unit name : Probability Teacher’s name:


Objectives:

1. To know about probability definition2. To understand the concept of event, sure event, trials etc.3. To understand how to calculate the probability of an event.4. To understand the probability of an event lies between 0 and 1

EvaluationSLNO.



TLM

Tools technique

Date of activities


1

Introduction and an experimental approach.

Introducing the chapter and explaining the experimental approach.

Black board, chart, things like coins and die etc.

Observation

Discussion

2

Activities related to the probability

Explaining how to calculate the total number of the outcomes in an experiment by doing some activities



Discussion

3Formula derivation of finding the probability and solving some problems on it.

Explaining how to calculate the probability and does some problems related to them using formulae P(E)=n(E)/T(E)


Observation

Discussion

Solving some problems

4Exercise 15.1 Solving the

problems of exercise 15.1 with learners



Exercise problems

THANK YOU

LESSON PLAN STANDARD ENGLISH MEDIUM LESSON PLAN (NEW SYLLABUS) SUBJECT: MATHEMATICS Chapter No.: 02 Unit name: Polynomials Teacher’s name: ...

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