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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
Discussion, group activity
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
Black board, Discussion, group activity
Group discussion
5Exercise 1.3 Solving exercise 1.3
problems with learners
Black board, Discussion, group activity
Exercise problems
Chapter No.: 02
Unit name: TRIANGLES Teacher’s name:
Date : From to No. of periods required :
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.
Learning competencies
Activities Favourable to learning
TLM
Tools technique
Date of activities
Teacher’s introspection
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
Discussion, group activity
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
Discussion, group activity
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
Discussion, group activity
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
Black board, geometry kit
Group discussion
Group discussion
2Exercise 2.4 Solving the
problems related to the exercise 2.4 with pupils
Black board, geometry kit
Group discussion
Exercise problems
7Pythagoras Theorem
Explaining about great mathematician Pythagoras, and his work. And theorem
Black board, geometry kit
Group discussion
Problem solving
8Exercise 2.1 Solving exercise 2.1
with pupils related to the Pythagoras theorem
Black board, geometry kit
Group discussion
Exercise problems
Chapter No.: 03
Unit name: Pair of linear equations in two variables Teacher’s name:
Date : From to No. of periods required :
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.
Learning competencies
Activities Favourable to learning
TLM
Tools technique
Date of activities
Teacher’s introspection
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
Discussion, group activity
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
Black board,Chart, graph, ect
Discussion, group activity
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
Black board,Chart, graph, ect
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.
Black board, Discussion, group activity
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
Black board, Discussion, group activity
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
Black board, Discussion, group activity
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
Black board, Discussion, group activity
Exercise problems
Chapter No.: 04
Unit name : CIRCLES Teacher’s name:
Date : From to No. of periods required :
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.
Learning competencies
Activities Favourable to learning
TLM
Tools technique
Date of activities
Teacher’s introspection
1
Introduction and tangent to the circle
Introducing the chapter, explaining about circle and tangent.
Black board, chart, geometry kit ect
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
Black board, chart, geometry kit ect
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:
Date : From to No. of periods required :
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.
Learning competencies
Activities Favourable to learning
TLM
Tools technique
Date of activities
Teacher’s introspection
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
Black board, chart, projector, geometry kit ect
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
Black board, chart, projector, geometry kit ect
Observation
discussion
4 Exercise 5.2 Explaining the problems in the exercise 5.2 with leaners
Black board, chart, projector, geometry kit ect
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
Black board, chart, geometry kit ect
Observation
discussion
Chapter No.: 06
Unit name : CONSTRUCTIONS Teacher’s name:
Date : From to No. of periods required :
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.
Learning competencies
Activities Favourable to learning
TLM
Tools technique
Date of activities
Teacher’s introspection
1
Introduction and constructions – review
Introducing the chapter, explaining how to construct the geometrical figures - review
Black board, chart, geometry kit ect
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
Black board, chart, geometry kit ect
Observation
construction
3 Construction of the tangents to the circles
To construct the pair of tangents to the circle by using given data
Black board, chart, geometry kit ect
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:
Date : From to No. of periods required :
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.
Learning competencies
Activities Favourable to learning
TLM
Tools technique
Date of activities
Teacher’s introspection
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
Black board, chart, graph geometry kit ect
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
Black board, chart, graph geometry kit ect
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
Black board, chart, graph geometry kit ect
Observation
Exercise problems
5Exercise 7.3 Solving the
problems on areas of triangle when 3 coordinate points are given wit pupils
Black board, chart, graph geometry kit ect
Observation
Exercise problems
Chapter No.: 08
Unit name : REAL NUMBERS Teacher’s name:
Date : From to No. of periods required :
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.
Learning competencies
Activities Favourable to learning
TLM
Tools technique
Date of activities
Teacher’s introspection
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
Problem solving, questioning
Exercise problems
4Fundamental theorem of arithmetic
Explaining about fundamental theorem of the arithmetic *solving the problems on it.
Black board, number line chart
Problem solving, questioning
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:
Date : From to No. of periods required :
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.
Learning competencies
Activities Favourable to learning
TLM
Tools technique
Date of activities
Teacher’s introspection
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
Discussion, group activity
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
Discussion, group activity ect.
Exercise problems
4Solving the problems on division algorithm for
*solving the problems how to divide and verify those.
Black board, chart
Discussion, group activity
Exercise problems
polynomials.
5Exercise 2.3 Solving the
problems in the exercise 2.3 with pupils
Black board Discussion Exercise problems
Chapter No.: 10
Unit name : QUADRATIC EQUATIONS Teacher’s name:
Date : From to No. of periods required :
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.
Learning competencies
Activities Favourable to learning
TLM
Tools technique
Date of activities
Teacher’s introspection
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.
Black board, graph ect
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
Black board, graph ect
Discussion, group activity
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
Black board,Chart, graph, ect
Discussion, group activity ect.
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
Black board,Chart, graph, ect
Discussion, group activity
Exercise problems
Chapter No.: 11
Unit name : INTRODUCTION TO TRIGONOMETRY Teacher’s name:
Date : From to No. of periods required :
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.
Learning competencies
Activities Favourable to learning
TLM
Tools technique
Date of activities
Teacher’s introspection
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
Discussion, group activity
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
Black board,Graph sheet, projector ect
Discussion, group activity
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.
Black board,Graph sheet, projector ect
Discussion, group activity
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.
Black board,Graph sheet, projector ect
Discussion, group activity
Giving example *exercise problems
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.
Black board,Graph sheet, projector ect
Discussion, group activity
Giving example *exercise problems
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
Black board,Graph sheet, projector ect
Discussion, group activity
Giving example *exercise problems
Chapter No.: 12
Unit name : SOME APPLICATIONS OF TRIGONOMETRY Teacher’s name:
Date : From to No. of periods required :
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.
Learning competencies
Activities Favourable to learning
TLM
Tools technique
Date of activities
Teacher’s introspection
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.
Black board,Graph sheet, projector ect
Discussion, group activity
Giving example
2 Angle of elevation and angle of depression.
Explaining the topic angle of elevation and angle of depression, eye sight ect
Black board,Graph sheet, projector ect
Discussion, group activity
Giving example
3 Solving Applied problems.
Solving the different applied problems on angle of elevation and angle of depression by day today life.
Black board,Graph sheet, projector ect
Discussion, group activity
Giving example
4 Exercise 12.1 Solving problems on exercise 12.1 with learners
Black board,Graph sheet, projector ect
Discussion Exercise problems
Chapter No.: 13
Unit name : STATISTICS Teacher’s name:
Date : From to No. of periods required :
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.
Learning competencies
Activities Favourable to learning
TLM
Tools technique
Date of activities
Teacher’s introspection
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
Discussion, group activity
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.
Black board,Chart, table chart ect
Discussion, group activity
Giving example
3 Exercise 13.1 Solving the problems on exercise 13.1 with pupils.
Black board,Chart, table chart ect
Discussion, group activity
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
Black board,Chart, table chart ect
Discussion, group activity
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
Black board,Chart, table chart ect
Discussion, group activity
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
Black board,Chart, table chart ect
Discussion, group activity
Exercise problems
Chapter No.: 14
Unit name : PROBABILITY Teacher’s name:
Date : From to No. of periods required :
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.
Evaluation11. SLNsO.
Learning competencies
Activities Favourable to learning
TLM
Tools technique
Date of activities
Teacher’s introspection
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
Discussion, group activity
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
Discussion, group activity
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
Discussion, group activity
Exercise problems
Chapter No.: 15
Unit name : SURFACE AREAS AND VOLUMES Teacher’s name:
Date : From to No. of periods required :
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.
Evaluation12. SLNsO.
Learning competencies
Activities Favourable to learning
TLM
Tools technique
Date of activities
Teacher’s introspection
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
Discussion, group activity
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
Black board,Models, projectorect
Discussion, group activity
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
Black board,Models, projectorect
Discussion, group activity
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
Black board,Models, projectorect
Discussion, group activity
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
Black board,Models, projectorect
Discussion, group activity
Giving example
Exercise problems