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10TH STANDARD ENGLISH MEDIUM

LESSON PLAN(NEW SYLLABUS)

SUBJECT: MATHEMATICS

Chapter No.: 01

Unit name: ARITHMETIC PROGRESSION Teacher’s name:

Date : From to No. of periods required :

Objectives:

1. To know about general form of arithmetic progression.2. To understand the nth term of the A.P3. Understand the summation of the nth term of the arithmetic progression.

EvaluationSLNO.

Learning competencies

Activities Favourable to learning

TLM

Tools technique

Date of activities

Teacher’s introspection

1

Introduction and arithmetic progression *exercise 1.1

*Introduce the lesson arithmetic progression to pupils*definition, examples, exercise 1.1

Black board, graph ect

Discussion, group activity

Giving examples, and solving exercise 1.1

2

nth Term of an AP*Exercise 1.2

Explaining about arithmetic progression and nth term of an A.P*finding first term, last term and common difference

Black board, chart, ect


Solving problems on exercise 1.2

3Sum of First n Terms of an AP

Finding the sum of nth term of an A.P, derive the formula to find the nth term

Black board, Discussion, group activity

Giving examples

4Problems on sum of nth term

Solving different problems on sum of nth term of an A.P using formula, find the value of a, d and nth term also


Group discussion

5Exercise 1.3 Solving exercise 1.3

problems with learners


Exercise problems

Chapter No.: 02

Unit name: TRIANGLES Teacher’s name:


Objectives:

1. To know about Two figures having the same shape but not necessarily the same size.2. To know about All the congruent figures are similar but the converse is not true.3. To understand if a line divides any two sides of a triangle in the ratio, then the line is parallel to

the third side.4. To understand the ratio of the squares of the two similar triangles is equal to the square of the

ratio of their corresponding sides.5. To understand Pythagoras theorem.6. If in a triangle, square of one side is equal to the sum of the squares of the other two sides, then

the angle opposite the first side is a right angle triangle.

EvaluationSLNO.



TLM

Tools technique

Date of activities


1

Introduction of the chapterSimilar FiguresExercise 2.1

*introduction about triangles*similar triangle, examples, solving exercise 2.1

Black board, chart, geometry kit ect

Observation

discussion

2

Similarity of Triangles*Theorem 2.1

Explaining about similarity of the triangles with different examples*explaining theorem no.2.1 with examples

Black board, chart,geometry kit ect


Solving problems with examples

3Theorem 2.2 Exercise 2.2

Explaining about theorem no.2.2 with examples*doing exercise 2.2 with interaction by the students

Black board, Chart geometry kit


Exercise problems

4Criteria for Similarity of Triangles*Theorem 2.2*exercise 2.3

Explaining theorem no.2.3: If two angles of one triangle are respectively equal to two angles of anothertriangle, then the two triangles are

Black board, geometry kit


Group discussionSolving exercise problems

similar*solving exercise problems related to the similarity of triangles.

1Areas of Similar Triangles*theorem 2.2

Explaining about areas of similar triangles, solving with theorem no.2.2


Group discussion

Group discussion

2Exercise 2.4 Solving the

problems related to the exercise 2.4 with pupils


Group discussion

Exercise problems

7Pythagoras Theorem

Explaining about great mathematician Pythagoras, and his work. And theorem


Group discussion

Problem solving

8Exercise 2.1 Solving exercise 2.1

with pupils related to the Pythagoras theorem


Group discussion

Exercise problems

Chapter No.: 03

Unit name: Pair of linear equations in two variables Teacher’s name:


Objectives:

1. To learn of general form of pair of linear equations in two variables.2. To solve the linear pair of equations in two variables by graphical and algebraic method.3. To learn about consistent, dependent and inconsistent in graphical method. 4. To learn about substitution method, elimination method and cross multiplication method.

Evaluation5. SLNO.



TLM

Tools technique

Date of activities


1

Introduction the chapter.*pair of linear equations in two variables.

Introduce the chapter to pupils, how it forms the pair of linear equations in two variables by giving some examples in every day situations.

Black board,Chart, graph, ect


Examples giving

2

Linear pair of equations in two variables*exercise 3.1

Explaining about how to form Linear pair of equations come and solving them



Exercise problems

3Graphical method of solutions for solving linear pair of equations*exercise 3.2

Solving the problems of linear equations in two variables by graphical method*solving the problems of exercise 3.1 with pupils


Discussion, group activity ect.

Exercise problems

4Algebraic pair of linear equations in two variables*exercise 3.3

Explain How to solve the linear pair of equations by algebraic method.


Exercise problems

1 Elimination method*exercise 3.4

To explain how Solving the problem of linear pair of equations by elimination method*solving the exercise problems of 3.4


Exercise problems

6 Cross multiplication method*exercise 3.4

To explain how Solving the problem of linear pair of equations by cross multiplication method*solving the exercise problems of 3.4


Exercise problems

7 Equations Reducible to a Pair of Linear Equations in Two Variables*EXERCISE 3.2

Solve the following pair of equations by reducing them to a pair oflinear equations*solving the problems of exercise 3.2 with pupils


Exercise problems

Chapter No.: 04

Unit name : CIRCLES Teacher’s name:


Objectives:

1. To understand the Meaning of the tangent to a circle.2. To know about the tangent to a circle is perpendicular to the radius through the point of

contact.3. To know the lengths of the two tangents from an external point to a circle are equal.

EvaluationSLNO.



TLM

Tools technique

Date of activities


1

Introduction and tangent to the circle

Introducing the chapter, explaining about circle and tangent.


Observation

discussion

2 Theorem, some activity and exercise 4.1

Doing some activities related to the chapter circle, theorem 4.1 with pupils and solving exercise problems


Observation

discussion

3 Number of tangents to the circle from an external point to the circle

Showing how tangent touch the circle to children by using ppt

Black board, chart, geometry kitprojector ect

Observation

discussion

4 Exercise 4.2 Solving the problems of exercise 4.2 with students

Black board, chart, geometry kit

Observation

discussion

Chapter No.: 05

Unit name : AREAS RELATED TO CIRCLES Teacher’s name:


Objectives:

1. To understand the circumference of the circle2. To know about area of the circle and calculated the area of circle.3. To know the formula length of an arc of the sector of a circle with radius r and angle with the

degree measure theta4. To calculate the area of the segment of the circle.

EvaluationSLNO.



TLM

Tools technique

Date of activities


1

Introduction and perimeter of the circle and area- review

Introducing the chapter, explaining about circumference of the circle with area of the circle

Black board, chart, projector, geometry kit ect

Observation

discussion

2 Exercise 5.1 Explaining the problems in the exercise 5.1 with leaners


Observation

discussion

3 Areas of the sector and segment of the circle

Explaining about segment of the circles like major segment, minor segment and angle in the segment ect


Observation

discussion

4 Exercise 5.2 Explaining the problems in the exercise 5.2 with leaners


Observation

discussion

5 Areas of combinations of plane figures

*exercise 5.3

Explaining about areas of the plane figures using formula, solving the problems of the exercise 5.3 with learners


Observation

discussion

Chapter No.: 06

Unit name : CONSTRUCTIONS Teacher’s name:


Objectives:

1. To understand how to divide a line segment in the given ratio.2. To construct a triangle similar to a given triangle as per a given scale factor which may be less

than 1 or greater than 1 .3. To construct the pair of tangents to the circle from an external point to the circle.

EvaluationSLNO.



TLM

Tools technique

Date of activities


1

Introduction and constructions – review

Introducing the chapter, explaining how to construct the geometrical figures - review


Observation

discussion

2 Construction of a triangle by division of a line segment in the given ratio

Taking some examples, constructing the triangle when dividing the line segment in the given ratio


Observation

construction

3 Construction of the tangents to the circles

To construct the pair of tangents to the circle by using given data


Observation

construction

4 Exercise 6.1 Solving the problems in the exercise 6.1 with pupils by Constructing the different methods

Black board, chart, projector geometry kit ect

Observation

construction

Chapter No.: 07

Unit name : Coordinate Geometry Teacher’s name:


Objectives:

4. To understand the distance formula, finding the distance between two points, distance from origin.

5. To know about coordinates of the line joining the points.6. To find the midpoints of the line joining the points

EvaluationSLNO.



TLM

Tools technique

Date of activities


1

Introduction and distance formula

Introducing the chapter, explaining and derive the distance formula

Black board, chart, graph geometry kit ect

Observation

discussion

2

Solving problems on distance formula*exercise 7.1

Solving the problems of exercise 7.1 with pupils on distance formula using formula


Observation

Exercise problems

3Section formula

*exercise 7.2

Explaining how to use this section formula to find the coordinates by using formula, derivation and some problems*solving some exercise problems with students


Observation

Exercise problems

4Area of a triangle

Derive the formula to find the area of the triangle in the coordinates, solving the problems by using formula


Observation

Exercise problems


problems on areas of triangle when 3 coordinate points are given wit pupils


Observation

Exercise problems

Chapter No.: 08

Unit name : REAL NUMBERS Teacher’s name:


Objectives:

1. To know about Euclid’s division lemma.2. Finding the HCF & LCM of any two numbers by using Euclid’s division lemma.3. To know about fundamental theorem of arithmetic.4. To express the prime numbers as a product of the prime numbers.5. To find the HCF & LCM of any two numbers by prime factorization method.6. To prove the given numbers as irrational numbers. 7. Decimal expansion of the irrational numbers.

EvaluationSLNO.



TLM

Tools technique

Date of activities


1

Introduction of the chapter and related to the Euclid’s division lemma.

*introducing the chapter *explaining about Euclid’s division algorithm

Black board, chart of scientist Euclid’s and his work.

Discussion Exercise activity, group discussion

2

Theorem 1.1(Euclid’s division lemma)

Explaining the division lemma and some problems related to them.

Black board, number line chart

Problem solving, questioning

Exercise problems

3HCF & LCM of two numbers using Euclid’s division lemma*exercise problems

Finding the value of the HCF & LCM of two numbers by using Euclid’s division lemma and verifying them

Black board, Chart


Exercise problems

4Fundamental theorem of arithmetic

Explaining about fundamental theorem of the arithmetic *solving the problems on it.

Black board, number line chart


Group discussion

5Finding the HCF & LCM of two numbers using prime factorization method.

Solving problems of HCF & LCM of any two numbers by using prime factorization method.

Black board Discussion and problem solving

Exercise problems

*exercise problems

Solving the exercise problems.

6Proving the irrational numbers

*proving some irrational numbers like , , ,ect.3 2 7

Black board Discussion and problem solving

Exercise problems

7

PART-II

Chapter No.: 09

Unit name : POLYNOMIALS Teacher’s name:


Objectives:

1. To understand the degree of the polynomials 2. To check the zeros of the polynomials3. To understand the coefficient of the polynomials4. To known the quadratic polynomial have 2 zeros and cubic polynomial have 3 zeros.5. To find the solutions of the quadratic polynomials whose sum and products are given.6. Dividing the polynomials and verifying that using division algorithm.

Evaluation7. SLNsO.



TLM

Tools technique

Date of activities


1

Introducing the chapter polynomials and zeroes of the polynomials

*finding the degree of the polynomials*find the zeros of the polynomials *geometrical meaning of the polynomials

Black boardGraph sheet


Giving example

2

Zeroes of the polynomials and exercise 2.1

*finding zeroes of the polynomials and verify the relationship between the coefficients*solving the exercise 2.2 problems

Black board Discussion, group activity

Exercise problems

3Division algorithm for polynomials

*explaining the polynomials how to divide*verify: Dividend=divisor x quotient + remainder

Black board, chart, ect


Exercise problems

4Solving the problems on division algorithm for

*solving the problems how to divide and verify those.

Black board, chart


Exercise problems

polynomials.


problems in the exercise 2.3 with pupils

Black board Discussion Exercise problems

Chapter No.: 10

Unit name : QUADRATIC EQUATIONS Teacher’s name:


Objectives:

1. To know about equations and quadratic equations 2. To understand how to form a quadratic equations. 3. To understand the roots of the quadratic equations equating the zero.4. To solve the quadratic equations by different methods like completing the square method and

formula method. 5. To know about a nature of the roots of the quadratic equation.

Evaluation6. SLNO.



TLM

Tools technique

Date of activities


1

Introduction, quadratic equations*exercise 4.1

Introduce the chapter quadratic equations, how to form a quadratic equation and weather checking the quadratic equations or not.


Discussion Examples giving

2

Solution of a Quadratic Equation by Factorisation*exercise 4.2

Solving the quadratic equations by factorization method*solving exercise problems of 4.2



Exercise problems

3Solution of a Quadratic Equation by Completing the Square* exercise 4.3

Solving the quadratic equations by Completing the Square method*solving exercise problems of 4.3



Exercise problems

4Nature of Roots*exercise 4.4

So, a quadratic equation ax2 + bx + c = 0 has(i) two distinct real roots, if b2 – 4ac > 0,(ii) two equal real



Exercise problems

roots, if b2 – 4ac = 0,(iii) no real roots, if b2 – 4ac < 0.*solving exercise problems of 4.4

Chapter No.: 11

Unit name : INTRODUCTION TO TRIGONOMETRY Teacher’s name:


Objectives:

1. To know about trigonometric ratios like sin, cos, tan, sec, cosec and cot 2. To understand the definition of Sin, cos, tan, sec, cosec and cot values 3. If one of the trigonometric ratios of an acute angle is known, easily determine another

trigonometric value.4. To know the values of trigonometric ratios like 00, 300, 450, 600, & 900. 5. To know the values of Sin A or Cos A is never exceeds 1, where as values of Sec A or Cosec A is

always greater than or equal to 1.6. To know the trigonometric identities.

Evaluation8. SLNsO.



TLM

Tools technique

Date of activities


1

Introducing the chapter and trigonometric ratios

Introducing the new chapter trigonometry, continues introduce the trigonometric values like sin, cos, tan, sec, cosec and cot

Black board,Graph sheet, projector ect


Giving example

2 Solving the problems on trigonometric ratios*exercise 11.1

Solving the problems on trigonometric ratios, finding the sides of the right angle triangle and solving problems on exercise 11.1 with students



Giving example *exercise problems

3 Trigonometric ratios of some specific angles

Explaining the trigonometric ratios of some specific angles like 00, 300, 450, 600, & 900.



Giving example

4 Exercise 11.2 Solving the problems on trigonometric ratios of specific angles, finding different angles of different ratios *solving problems on exercise 11.2 with pupils.




5 Trigonometric ratios of complementary angles*exercise 11.3

Explaining the trigonometric ratios of complementary angles like Sin(90-A)=Cos A, like that all angles.*solving exercise problems on these.




6 Trigonometric identities *exercise 11.4

Deriving the trigonometric identities using previous applied knowledge of trigonometric ratios and angles*solving problems of exercise 11.4 with pupils




Chapter No.: 12

Unit name : SOME APPLICATIONS OF TRIGONOMETRY Teacher’s name:


Objectives:

1. To know about the line of sight is the line drawn from the eye of an observer to the point in the object viewed by the observer.

2. To understand the definition angle of elevation and angle of depression.3. To solve the applied problems on angle of elevation and angle of depression.4. The height or length of an object or the distance between two distant objects can be

determined with the help of trigonometric ratios. Evaluation9. S

LNsO.



TLM

Tools technique

Date of activities


1

Introducing the chapter, height and distance

Introducing the new chapter, explaining about how trigonometric ratios will help to find the height and distance in the daily life.



Giving example

2 Angle of elevation and angle of depression.

Explaining the topic angle of elevation and angle of depression, eye sight ect



Giving example

3 Solving Applied problems.

Solving the different applied problems on angle of elevation and angle of depression by day today life.



Giving example

4 Exercise 12.1 Solving problems on exercise 12.1 with learners


Discussion Exercise problems

Chapter No.: 13

Unit name : STATISTICS Teacher’s name:


Objectives:

1. To know about mean, median and mode. Mean can be find different methods like direct method, Assumed mean method, and step deviation method.

2. To find the mode for grouped data using formula.3. To know about cumulative frequency of class for grouped data.4. To find the median for grouped data by using formula.5. Representing a cumulative frequency distribution graphically as a cumulative frequency curve,

or an ogive of the less than type and of the more than type.6. The median of the grouped data can be obtained graphically as the x-coordinate of the point of

intersection of the two ogives of these data.

Evaluation10. SLNsO.



TLM

Tools technique

Date of activities


1

Introducing the chapter statistics, mean median and mode - review

Introduce the chapter and explaining about mean median and mode – review by previous knowledge.

Black board,Chart, table chart ect


Giving example

2 Mean for grouped data

1.direct method2.assumed mean method3.step deviation method

Finding the mean for grouped data by different methods like direct method, Assumed mean method, and step deviation method,Taking different problems to find the mean.



Giving example

3 Exercise 13.1 Solving the problems on exercise 13.1 with pupils.



Exercise problems

4 Mode for grouped data

*exercise 13.2

Explaining about mode, we can find the mode for ungrouped. But for grouped data we use formula to find, using formula to find the mode for different problems. Solving exercise problems with pupils



Exercise problems

5 Median for grouped data

*exercise 13.3

Explaining about median, we can find the median for ungrouped. But for grouped data we use formula to find, using formula to find the median for different problems.Solving exercise problems with pupils



Exercise problems

6 Graphical representation of cumulative frequency distribution

*exercise 13.4

We can represent the data graphically- given data can be plot on the graph.Solving the problems on exercise 13.4 with leaners



Exercise problems

Chapter No.: 14

Unit name : PROBABILITY Teacher’s name:


Objectives:

1. To know difference between experimental probability and theoretical probability . 2. To understand the probability of sure event is 1.3. To understand the probability of impossible event is 0.4. The probability of an event E is a number P(E) such that 0<P(E)<1.5. To know about elementary event.




TLM

Tools technique

Date of activities


1

Introducing the chapter – review,Probability – a theoretical approach

Introduce the chapter and explaining about probability – review by previous knowledge.

Black board,Coins, die, projectorect


Giving example

2 Complementary event

Explaining about the probability of sure event is 1 and the probability of impossible event is 0 by doing different activities.Explaining about complementary events- definition and experiment

Black board,Coins, die, projector, cardsect


Giving example

3 Exercise 14.1 Solving the problems on exercise 14.1 with learners by doing different activities

Black board,Coins, die, projector, cardsect


Exercise problems

Chapter No.: 15

Unit name : SURFACE AREAS AND VOLUMES Teacher’s name:


Objectives:

1. To determine the surface area of an object formed by combining any two of the basic solids namely cube, cuboids, cone, cylinders, spheres and hemispheres.

2. To find the volume of objects formed by combining any two of cuboids, cone, cylinders, spheres and hemispheres.

3. To know about frustum of cone.4. To calculate the volume, surface area of a frustum of cone.




TLM

Tools technique

Date of activities


1

Introducing the chapter – review,Surface area and volumes

Introduce the chapter and explaining about probability – review by previous knowledge, we already learnt about this chapter in the 9th standard.

Black board,Models, projectorect


Giving example

2 Surface area of a combinations of solids

*exercise 15.1

We can make the models by mixing the combinations of two or more solids to form new solids. Then we find the surface area of the new solid figure, solving different problems like this.Solving exercise 15.1 problems with leaners



Giving example

Exercise problems

3 Volume of combinations of solids

*exercise 15.2

After making combinations of two or more solids together to form new solid, we can find the volume of the new solid using suitable formula.Solving different problems on it.Solving exercise problems of 15.2 with leaners



Giving example

Exercise problems

4 Conversion of solid from one shape to another.

*exercise 15.3

The solid figure can be convert from their original shape to the other, after changing their shape finding the surface area and volumes of new solid figure.Solving different problems on it, solving exercise 15.3 with leaners



Giving example

Exercise problems

5 Frustum of a cone

*exercise 15.4

A cone can be cut into two parts, then we see the frustum of a cone. Solving the different problems on frustum of a cone using formula. Volume of a frustum, surface area of a frustum. Solving some applied problems on it. Solving exercise 15.4 with pupils



Giving example

Exercise problems

lesson plan - 189pkh.files.wordpress.com · lesson plan (new syllabus) ... to know about general...

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