10 TH STANDARD ENGLISH MEDIUM LESSON PLAN (NEW SYLLABUS) SUBJECT: MATHEMATICS

Transcription

1 0 TH STANDARD ENGLISH MEDIUM LESSON PLAN (NEW SYLLABUS) SUBJECT: MATHEMATICS

2 Chapter No.: 0 Unit name: ARITHMETIC PROGRESSION name: Objives:. To know about general form of arithmetic progressi. 2. To understand the nth term of the A.P 3. Understand the summati of the nth term of the arithmetic progressi. SL NO. 2 3 Learning Introducti and arithmetic progressi *exercise. nth Term of an AP *.2 Sum of First n Terms of an AP *Introduce the less arithmetic progressi to pupils *definiti, s, exercise. arithmetic progressi and nth term of an A.P *finding first term, last term and comm difference Finding the sum of nth term of an A.P, derive the formula to find the nth term graph Evaluati s, and solving exercise. Solving exercise.2 s introspi 4 5 Problems sum of nth term Solving different sum of nth term of an A.P using formula, find the value of a, d and nth term also.3 Solving exercise.3 with learners Group discussi

3 Chapter No.: 02 Unit name: TRIANGLES name: Objives:. To know about Two figures having the same shape but not necessarily the same size. 2. To know about All the cgruent figures are similar but the cverse 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 correspding sides. 5. To understand Pythagoras theorem. 6. If in a triangle, square of e 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. SL NO Learning Introducti of the chapter Similar Figures 2. Similarity of Triangles *Theorem 2. Theorem Criteria for Similarity of Triangles *Theorem 2.2 *exercise 2.3 *introducti about triangles *similar triangle, s, solving exercise 2. similarity of the triangles with different s *explaining theorem no.2. with s theorem no.2.2 with s *doing exercise 2.2 with interacti by the students Explaining theorem no.2.3: If two angles of e triangle are respively equal to two angles of another triangle, then the two triangles are Chart Evaluati discussi Solving with s Group discussi Solving exercise introspi

4 2 Areas of Similar Triangles *theorem similar *solving exercise related to the similarity of triangles. areas of similar triangles, solving with theorem no.2.2 Solving the related to the exercise 2.4 with pupils Group discussi Group discussi Group discussi 7 8 Pythagoras Theorem great mathematician Pythagoras, and his work. And theorem 2. Solving exercise 2. with pupils related to the Pythagoras theorem Group discussi Group discussi Problem solving

5 Chapter No.: 03 Unit name: Pair of linear equatis in two variables name: Objives:. To learn of general form of pair of linear equatis in two variables. 2. To solve the linear pair of equatis in two variables by graphical and algebraic method. 3. To learn about csistent, dependent and incsistent in graphical method. 4. To learn about substituti method, eliminati method and cross multiplicati method. 5 Learning Evaluati introspi Introducti the chapter. *pair of linear equatis in two variables. Linear pair of equatis in two variables *exercise 3. Graphical method of solutis for solving linear pair of equatis *exercise 3.2 Algebraic pair of linear equatis in two variables *exercise 3.3 Introduce the chapter to pupils, how it forms the pair of linear equatis in two variables by giving some s in every day situatis. how to form Linear pair of equatis come and solving them Solving the of linear equatis in two variables by graphical method *solving the of exercise 3. with pupils Explain How to solve the linear pair of equatis by algebraic method. Chart, graph, Chart, graph, Chart, graph,. Examples giving

6 Eliminati method *exercise Cross multiplicati method *exercise Equatis Reducible to a Pair of Linear Equatis in Two Variables *EXERCISE 3.2 To explain how Solving the problem of linear pair of equatis by eliminati method *solving the exercise of 3.4 To explain how Solving the problem of linear pair of equatis by cross multiplicati method *solving the exercise of 3.4 Solve the following pair of equatis by reducing them to a pair of linear equatis *solving the of exercise 3.2 with pupils

7 Chapter No.: 04 Unit name : CIRCLES name: Objives:. 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 ctact. 3. To know the lengths of the two tangents from an external point to a circle are equal. SL NO. Learning Introducti and tangent to the circle Introducing the chapter, explaining about circle and tangent. Evaluati discussi introspi 2 Theorem, some and exercise 4. 3 Number of tangents to the circle from an external point to the circle Doing some related to the chapter circle, theorem 4. with pupils and solving exercise Showing how tangent touch the circle to children by using ppt Solving the of exercise 4.2 with students projor discussi discussi discussi

8 Chapter No.: 05 Unit name : AREAS RELATED TO CIRCLES name: Objives:. To understand the circumference of the circle 2. To know about area of the circle and calculated the area of circle. 3. To know the formula length of an arc of the sor of a circle with radius r and angle with the degree measure theta 4. To calculate the area of the segment of the circle. SL NO. Learning Introducti and perimeter of the circle and areareview Introducing the chapter, explaining about circumference of the circle with area of the circle 2 5. Explaining the in the exercise 5. with leaners 3 Areas of the sor and segment of the circle segment of the circles like major segment, minor segment and angle in the segment Explaining the in the exercise 5.2 with leaners 5 Areas of combinatis of plane figures *exercise 5.3 areas of the plane figures using formula, solving the of the exercise 5.3 with learners projor, projor, projor, projor, Evaluati discussi discussi discussi discussi discussi introspi

9 Chapter No.: 06 Unit name : CONSTRUCTIONS name: Objives:. To understand how to divide a line segment in the given ratio. 2. To cstruct a triangle similar to a given triangle as per a given scale factor which may be less than or greater than. 3. To cstruct the pair of tangents to the circle from an external point to the circle. SL NO. Learning Introducti and cstructis review 2 Cstructi of a triangle by divisi of a line segment in the given ratio 3 Cstructi of the tangents to the circles Introducing the chapter, explaining how to cstruct the geometrical figures - review Taking some s, cstructing the triangle when dividing the line segment in the given ratio To cstruct the pair of tangents to the circle by using given data Evaluati discussi cstructi cstructi introspi 4 6. Solving the in the exercise 6. with pupils by Cstructing the different methods projor cstructi

10 Chapter No.: 07 Unit name : Coordinate Geometry name: Objives: 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 SL NO. Learning Introducti and distance formula Introducing the chapter, explaining and derive the distance formula graph Evaluati discussi introspi Solving distance formula *exercise 7. Si formula *exercise 7.2 Area of a triangle 7.3 Solving the of exercise 7. with pupils distance formula using formula Explaining how to use this si formula to find the coordinates by using formula, derivati and some *solving some exercise with students Derive the formula to find the area of the triangle in the coordinates, solving the by using formula Solving the areas of triangle when 3 coordinate points are given wit pupils graph graph graph graph

11 Chapter No.: 08 Unit name : REAL NUMBERS name: Objives:. To know about Euclid s divisi lemma. 2. Finding the HCF & LCM of any two numbers by using Euclid s divisi 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 factorizati method. 6. To prove the given numbers as irratial numbers. 7. Decimal expansi of the irratial numbers. SL NO. 2 Learning Introducti of the chapter and related to the Euclid s divisi lemma. Theorem.(Euclid s divisi lemma) *introducing the chapter *explaining about Euclid s divisi algorithm Explaining the divisi lemma and some related to them. chart of scientist Euclid s and his work. number line chart Evaluati Problem solving, questiin g, group discussi introspi HCF & LCM of two numbers using Euclid s divisi lemma *exercise Fundamental theorem of arithmetic Finding the HCF & LCM of two numbers using prime factorizati method. Finding the value of the HCF & LCM of two numbers by using Euclid s divisi lemma and verifying them fundamental theorem of the arithmetic *solving the it. Solving of HCF & LCM of any two numbers by using prime factorizati method. Chart number line chart Black board Problem solving, questiin g Problem solving, questiin g and problem solving Group discussi

12 *exercise Solving the exercise. 6 Proving the irratial numbers *proving some irratial numbers like 3, 2, 7,. Black board and problem solving 7 PART-II

13 Chapter No.: 09 Unit name : POLYNOMIALS name: Objives:. To understand the degree of the polynomials 2. To check the zeros of the polynomials 3. To understand the coefficient of the polynomials 4. To known the quadratic polynomial have 2 zeros and cubic polynomial have 3 zeros. 5. To find the solutis of the quadratic polynomials whose sum and products are given. 6. Dividing the polynomials and verifying that using divisi algorithm. 7 Learning Evaluati introspi Introducing the chapter polynomials and zeroes of the polynomials Zeroes of the polynomials and exercise 2. Divisi algorithm for polynomials Solving the divisi algorithm for *finding the degree of the polynomials *find the zeros of the polynomials *geometrical meaning of the polynomials *finding zeroes of the polynomials and verify the relatiship between the coefficients *solving the exercise 2.2 *explaining the polynomials how to divide *verify: Dividend=divisor x quotient + remainder *solving the how to divide and verify those. Black board Graph sheet Black board chart.

14 polynomials Solving the in the exercise 2.3 with pupils Black board

15 Chapter No.: 0 Unit name : QUADRATIC EQUATIONS name: Objives:. To know about equatis and quadratic equatis 2. To understand how to form a quadratic equatis. 3. To understand the roots of the quadratic equatis equating the zero. 4. To solve the quadratic equatis by different methods like completing the square method and formula method. 5. To know about a nature of the roots of the quadratic equati. 6 Learning Evaluati introspi Introducti, quadratic equatis *exercise 4. Soluti of a Quadratic Equati by Factorisati *exercise 4.2 Soluti of a Quadratic Equati by Completing the Square * exercise 4.3 Nature of Roots *exercise 4.4 Introduce the chapter quadratic equatis, how to form a quadratic equati and weather checking the quadratic equatis or not. Solving the quadratic equatis by factorizati method *solving exercise of 4.2 Solving the quadratic equatis by Completing the Square method *solving exercise of 4.3 So, a quadratic equati ax2 + bx + c = 0 has (i) two distinct real roots, if b2 4ac > 0, (ii) two equal real graph graph Chart, graph, Chart, graph,. Examples giving

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

17 Chapter No.: Unit name : INTRODUCTION TO TRIGONOMETRY name: Objives:. To know about trigometric ratios like sin, cos, tan, sec, cosec and cot 2. To understand the definiti of Sin, cos, tan, sec, cosec and cot values 3. If e of the trigometric ratios of an acute angle is known, easily determine another trigometric value. 4. To know the values of trigometric ratios like 0 0, 30 0, 45 0, 60 0, & To know the values of Sin A or Cos A is never exceeds, where as values of Sec A or Cosec A is always greater than or equal to. 6. To know the trigometric identities. 8 Learning Evaluati introspi Introducing the chapter and trigometric ratios 2 Solving the trigometric ratios *exercise. 3 Trigometric ratios of some specific angles Introducing the new chapter trigometry, ctinues introduce the trigometric values like sin, cos, tan, sec, cosec and cot Solving the trigometric ratios, finding the sides of the right angle triangle and solving exercise. with students Explaining the trigometric ratios of some specific angles like 0 0, 30 0, 45 0, 60 0, & Graph sheet, projor Graph sheet, projor Graph sheet, projor *exercise

18 4.2 Solving the trigometric ratios of specific angles, finding different angles of different ratios *solving exercise.2 with pupils. 5 Trigometric ratios of complementar y angles *exercise.3 6 Trigometric identities *exercise.4 Explaining the trigometric ratios of complementary angles like Sin(90- A)=Cos A, like that all angles. *solving exercise these. Deriving the trigometric identities using previous applied knowledge of trigometric ratios and angles *solving of exercise.4 with pupils Graph sheet, projor Graph sheet, projor Graph sheet, projor *exercise *exercise *exercise

19 Chapter No.: 2 Unit name : SOME APPLICATIONS OF TRIGONOMETRY name: Objives:. To know about the line of sight is the line drawn from the eye of an observer to the point in the obj viewed by the observer. 2. To understand the definiti angle of elevati and angle of depressi. 3. To solve the applied angle of elevati and angle of depressi. 4. The height or length of an obj or the distance between two distant objs can be determined with the help of trigometric ratios. 9 Learning Evaluati introspi Introducing the chapter, height and distance 2 Angle of elevati and angle of depressi. 3 Solving Applied. Introducing the new chapter, explaining about how trigometric ratios will help to find the height and distance in the daily life. Explaining the topic angle of elevati and angle of depressi, eye sight Solving the different applied angle of elevati and angle of depressi by day today life Solving exercise 2. with learners Graph sheet, projor Graph sheet, projor Graph sheet, projor Graph sheet, projor

20 Chapter No.: 3 Unit name : STATISTICS name: Objives:. To know about mean, median and mode. Mean can be find different methods like dir method, Assumed mean method, and step deviati 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 distributi 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 intersi of the two ogives of these data. Learning Evaluati introspi Introducing the chapter statistics, mean median and mode - review 2 Mean for grouped data.dir method 2.assumed mean method 3.step deviati method Introduce the chapter and explaining about mean median and mode review by previous knowledge. Finding the mean for grouped data by different methods like dir method, Assumed mean method, and step deviati method, Taking different to find the mean. Chart, table chart Chart, table chart

21 3 3. Solving the exercise 3. with pupils. Chart, table chart 4 Mode for grouped data *exercise Median for grouped data *exercise Graphical representati of cumulative frequency distributi *exercise 3.4 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. Solving exercise with pupils 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. Solving exercise with pupils We can represent the data graphically- given data can be plot the graph. Solving the exercise 3.4 with leaners Chart, table chart Chart, table chart Chart, table chart

22 Chapter No.: 4 Unit name : PROBABILITY name: Objives:. To know difference between experimental probability and theoretical probability. 2. To understand the probability of sure event is. 3. To understand the probability of impossible event is The probability of an event E is a number P(E) such that 0<P(E)<. 5. To know about elementary event. Learning Evaluati introspi Introducing the chapter review, Probability a theoretical approach 2 Complementar y event Introduce the chapter and explaining about probability review by previous knowledge. the probability of sure event is and the probability of impossible event is 0 by doing different. complementary events- definiti and experiment 3 4. Solving the exercise 4. with learners by doing different Coins, die, projor Coins, die, projor, cards Coins, die, projor, cards

23 Chapter No.: 5 Unit name : SURFACE AREAS AND VOLUMES name: Objives:. To determine the surface area of an obj formed by combining any two of the basic solids namely cube, cuboids, ce, cylinders, spheres and hemispheres. 2. To find the volume of objs formed by combining any two of cuboids, ce, cylinders, spheres and hemispheres. 3. To know about frustum of ce. 4. To calculate the volume, surface area of a frustum of ce. Learning Evaluati introspi Introducing the chapter review, Surface area and volumes 2 Surface area of a combinatis of solids *exercise 5. Introduce the chapter and explaining about probability review by previous knowledge, we already learnt about this chapter in the 9 th standard. We can make the models by mixing the combinatis of two or more solids to form new solids. Then we find the surface area of the new solid figure, solving different like this. Solving exercise 5. with leaners Models, projor Models, projor

24 3 Volume of combinatis of solids *exercise 5.2 After making combinatis of two or more solids together to form new solid, we can find the volume of the new solid using suitable formula. Solving different it. Solving exercise of 5.2 with leaners Models, projor 4 Cversi of solid from e shape to another. *exercise Frustum of a ce *exercise 5.4 The solid figure can be cvert from their original shape to the other, after changing their shape finding the surface area and volumes of new solid figure. Solving different it, solving exercise 5.3 with leaners A ce can be cut into two parts, then we see the frustum of a ce. Solving the different frustum of a ce using formula. Volume of a frustum, surface area of a frustum. Solving some applied it. Solving exercise 5.4 with pupils Models, projor Models, projor