MATHEMATICS LESSON PLAN

Transcription

1 MATHEMATICS LESSON PLAN CLASS: 8 TH STANDARD Teacher Name : Prasanna.K.Hegde

2 AIMS OF LEARNING MATHEMATICS: 1. To enable the students to solve mathematical 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. 8. To develop in the child rational and scientific attitude towards life. BRIDGE COURSE: Date: From to. SL LEARNING ACTIVITIES Evaluation FAVOURABLE TO TLM NO COMPETENCIES Activities SIGN LEARNING Tools Techniques 1 Pretest: Based on the fundamental Written test Question concepts of mathematics paper conducting pretest. Bridge course Chart Discussion classes By knowing the abilities of showing Discussion children, conducting the Basic and solving classes to improve basic concepts of some knowledge of mathematics. mathematics. Written test. Posttest: Based on teaching of Question classes in above course, paper conducting posttest.

3 Unit Name: Playing with Numbers Date: From to Objectives: 1. Pupil will be able to write a given natural in its general form (in base 10). 2. Pupil will be able to formulate some games and puzzles involving numbers. 3. Pupil will be able to understand how to divide one integer by other to get quotient and remaider 4. Pupil will be able to construct (3 x 3) magic squares. 5. Pupil will be able to perform divisibility test for 3, 4, 5, 9 & 11. SL LEARNING ACTIVITIES Evaluation FAVOURABLE TO TLM NO COMPETENCIES Activities SIGN LEARNING Tools Techniques 1 General form of given Recalling the place value chart and assuming the place Black Board Discussion Problem Group Discussion Numbers values of digits in given Chart solving exercise number. Recalling the concept of writing the given numbers in terms of base 10. Writing the given numbers in the general form. 2 Normal form of given Recapitalizing the place value chart and knowing the place Place value Oral Test activity Question paper Numbers value of given expansion. chart exercise Writing the given expansion activity to numbers into general form of numbers. 3 Alpha Numerical puzzles Solving the Puzzles by the help of teacher. Black Board Activity Exercise activity group Finding the value of alphabets Chart discussion which are involved in the problem 4 Finding Quotient and Dividing the given number by Black Discussion Solving Remainder 13 by known method & Board exercise Writing the quotient and Work remainder.

4 SL LEARNING ACTIVITIES Evaluation FAVOURABLE TO TLM NO COMPETENCIES Activities SIGN LEARNING Tools Techniques 5 Finding Quotient and Dividing the given number Black Discussion Solving Remainder by 304 by known method & Board exercise Writing the quotient and Work remainder. 6 Constructing a (3 x 3) Magic Square Try to understand the rule to fill the given numbers in the Chart Showing Activity Exercise activity group square. Sample discussion magic Preparing the magic square Square and of given order. Newspaper Finding the Magic sum in the showing prepared magic square. Sudoku puzzle. 7 Divisibility test by 4 Determining whether given number is divisible by 4 or BB work Questioning Questionnaire not, without actual division. 8 Divisibility test by 3 & 9 Determining whether given number is divisible by 3 or BB work Discussion Solving exercise not, without actual division. Determining whether given number is divisible by 9 or not, without actual division. 9 Divisibility test by 5 Determining whether given BB work Questioning Questionnaire & 10 number is divisible by 5 or not, without actual division. Determining whether given number is divisible by 10 or not, without actual division. 10 Divisibility test by Determining whether given BB work Activity Exercise 11. number is divisible by 11 or activity group not, without actual division. discussion Defining the term Palindrome. Discussing the examples of Palindrome.

5 Unit Name:Squares, Square Roots, Cubes & Cube roots. Date: From to Objectives: 1. Pupil will be able to write the examples for perfect squares and their square roots. 2. Pupil will be able to recognize the digits in unit s place of a square number. 3. Pupil will be able to obtain the remainders when a perfect square is divided by 3 & Pupil will be able to understand some methods of finding perfect squares and square roots. 5. Pupil will be able to find the value of perfect cubes and their cube roots. SL LEARNING ACTIVITIES Evaluation FAVOURABLE TO TLM NO COMPETENCIES Activities SIGN LEARNING Tools Techniques 1 Perfect squares Defining the term Perfect Black Discussion Group Square. Board Problem Discussion Chart solving exercise Writing the perfect squares of given numbers. Identifying the perfect squares among the given numbers. 2 Squaring a Number: Finding the square of a Chart Oral Test Question number by direct method of showing activity paper Multiplication. the exercise formula. activity Finding the square of a number by using the formulae (a + b) 2. 3 Square root of given Finding the square root of a Black Activity Exercise Perfect square given number by the method Board activity number. of Factorization. Chart group discussion 4 Problems on Square Solving exercise Black Discussion Solving roots based on the concept of Board exercise Square root. Work Solving verbal. 5 Square root Finding the nearest integer Black Discussion Solving to the square root of the Board exercise given numbers. Work

6 6 Perfect Cubes Defining the term Perfect Chart Activity Exercise Cubes. Showing activity group Some discussion Writing the perfect Cubes of example of given numbers. prefect cubes. Identifying the perfect Cubes among the given numbers. Questionnair e 7 Identifying the Identifying the perfect Chart Questioning perfect cubes Cubes among the given showing numbers between 1 and numbers 100. between 1 Identifying the perfect to 500. Cubes among the given numbers between 1 to Finding the cube root Solving exercise BB work Discussion Solving of the given number based on the concept of exercise by the method of Cube root. Factorization 9 Finding the cube root Solving exercise BB work Discussion Solving of the given number based on the concept of exercise by the method of Cube root. Estimation. 10 Finding the nearest Solving exercise BB work Activity Exercise integer to the cube based on the concept of activity group root of given Cube root. discussion number.

7 Unit Name:Rational Numbers. Objectives: Date: From to 1. Pupil will be able to understand the concept of Fraction and Rational numbers. 2. Pupil will be able to add and multiply the Rational numbers. 3. Pupil will be able to write the properties of rational numbers with respect to addition and multiplication. 4. Pupil will be able to verify the properties of rational numbers. 5. Pupil will be able to represent the rational numbers on Number line. SL LEARNING ACTIVITIES Evaluation FAVOURABLE TO TLM NO COMPETENCIES Activities SIGN LEARNING Tools Techniques 1 Rational Numbers. Defining the term Rational Chart Discussion Exercise Numbers. Showing activity Some group Writing the Rational example of discussion Numbers of their own. Rational Numbers. Identifying the Rational Numbers among the given numbers. 2 Mathematical Writing the Mathematical Properties Oral Test Discussion formats of formats of Properties such as chart. activity Properties. Commutative property, Associative property, Distributive property and so on, 3 Identification of the Using the numerical Black Activity Exercise property in the given statements identifying the Board activity statements. property related to rational Chart group numbers. discussion 4 Equivalent rational Finding the equivalent Black Discussion Solving numbers to the given rational numbers to the given Board exercise rational number. rational number. Work

8 SL LEARNING ACTIVITIES Evaluation FAVOURABLE TO TLM NO COMPETENCIES Activities SIGN LEARNING Tools Techniques 5 Identification of Identification the Black Board Discussion Solving properties. properties which are Work exercise related to Rational Numbers. 6 Commutative Verifying the Chart Activity Exercise property of addition commutative property for showing activity group the given rational mathematical discussion numbers. procedure to verify property. 7 Commutative Verifying the BB work Questioning Questionnaire property of commutative property for multiplication. the given rational numbers. 8 Distributive Verifying the BB work Discussion Solving property commutative property for exercise the given rational numbers. 9 Additive inverse of a Finding the additive BB work Questioning Questionnaire Rational Number. inverse of the given rational number. 10 Multiplicative Finding the Multiplicative BB work Activity Exercise inverse of a Rational inverse of the given activity group Number. rational number. discussion

9 C P Unit Name:Commercial Arithmetic Objectives: 1. Pupil will be able to define the term percentage. 2. Pupil will be able to identify profit and loss in commercial transactions 3. Pupil will be able to calculate discount and discount percentage. 4. Pupil will be able to solve the on commission and commission percentage. 5. Pupil will be able to calculate simple interest. Principal, time and rate of interest. SL LEARNING ACTIVITIES Evaluation FAVOURABLE TO TLM NO COMPETENCIES Activities SIGN LEARNING Tools Techniques 1 Percentage Defining the term percentage. Black Discussion Group Board Problem Discussion Writing the percentage Chart solving exercise values of their own. 2 Profit Solving the verbal Chart Oral Test Question using suitable showing activity paper formula to find Profit. formula for exercise profit activity P = SP - CP 3 Profit % Solving the verbal Black Activity Exercise using suitable formula to find Board activity Profit%. chart group discussion PROFIT% = PROFIT X Loss Solving the verbal Chart Discussion Solving using suitable formula to find showing exercise Loss. formula for L = CP - SP Loss. 5 Loss% Solving the verbal Black Discussion Solving using suitable formula to Board exercise find loss%. Work LOSS% = LOSS C P X 100

10 6 Discount Solving the verbal Chart Activity Exercise using suitable formula to Showing activity group find Discount. Formula discussion for D = MP x RATE OF discount. DISCOUNT. 7 Discount % Solving the verbal BB work Questioning Questionnaire using suitable formula to find percentage discount. 8 Commission Solving the verbal BB work Discussion Solving using suitable formula to exercise find commission. Commission = commission rate x S P 9 Simple interest. Solving the verbal Chart Activity Exercise using suitable formula to showing activity group find simple interest. formula for discussion simple interest PTR I = VAT Knowing the concept of tax BB work Discussion Solving and vat exercise Calculating the vat with the help of a commercial transaction.

11 Unit Name: Statistics. Objectives: Date: From to 1. Pupil will be able to explain the terms like Data, Range, Frequency, Class interval. 2. Pupil will be able to construct frequency distribution table for given class intervals 3. Pupil will be able to draw histogram for the given frequency distribution table. 4. Pupil will be able to define Mean, Median and Mode. 5. Pupil will be able to calculate Mean, Median and Mode for group and ungroup data. SL LEARNING ACTIVITIES Evaluation FAVOURABLE TO TLM NO COMPETENCIES Activities SIGN LEARNING Tools Techniques 1 Statistics Defining the term Statistics. Black Discussion Group Board Problem Discussion Knowing the meaning of the Chart solving exercise term statistics. 2 Numerical Data Defining the term Numerical Chart Oral Test Question Data. showing activity paper some exercise Knowing the meaning of numerical activity Numerical data. data. 3 Frequency Defining the term FDT. Black Activity Exercise distribution table Board activity Knowing the procedure to Chart group prepare the Frequency discussion distribution table. 4 Grouped data and Knowing the meaning of the Black Discussion Solving Ungrouped data. Grouped data and Board exercise Ungrouped data. Work Applying the concept of Grouped data and Ungrouped data for given

12 5 Histogram for given Frequency Knowing the meaning of Histogram Black Board Discussion Solving exercise distribution table Construction of Histogram Work for the given frequency distribution table Analysis of Numerical data through Histogram. 6 Mean for grouped data Knowing the meaning of mean for grouped data. Chart Showing Activity Exercise activity group Calculating mean for given Formula discussion data using table. for mean Analysis of Numerical data through mean. for grouped data. 7 Mean for ungrouped Calculating mean for given BB work Questioning Questionnaire data ungrouped data Analysis of Numerical data through mean. 8 Median for grouped data Knowing the meaning of median. BB work Discussion Solving exercise Calculating median for given data using table. Analysis of Numerical data through mean.. 9 Median for Calculating median for BB work Questioning Questionnaire ungrouped data given ungrouped data Analysis of Numerical data through median. 10 Mode for grouped data. Knowing the meaning of Mode. BB work Activity Exercise activity group Calculating the Mode for discussion given data.

13 Unit Name: Algebraic Expressions. OBJECTIVES 1. Meaning of polynomials 2. Addition and subtraction of polynomial. 3. Multiplication of polynomial. Evaluation SL LEARNING ACTIVITIES FAVOURABLE TO TLM NO COMPETENCIES LEARNING Tools Techniques Activities introspection 1 Introduction to Recalling algebraic terms Chart, black Explanation Chart algebraic terms constants,variables, and board, etc. defining algebraic expression 2 Addition and Solving on subtraction Test Exam Subtraction of and addition using rules polynomials 3 Addition and Extending the knowledge of Problems Exercise Subtraction of previous class to solve these binomials and. polynomial 4 Multiplication Following the rules of Oral Check list of monomial multiplication solving. by monomial 5 Multiplication Extending the knowledge of Discussion Group of polynomial previous class to solve these discussion. 6 Some special Using multiplication of Chart Problems Exercise products polynomial deriving formulae containing for (a+b),(x+y),(a-b), and a2-b2 Geometrical meaning of formulae

14 Unit Name: Factorisation. OBJECTIVES 1. Factories an algebraic expression by taking out common factors. 2. Factories an expression by grouping appropriate terms. 3. Factories a trinomial expression. 4. Factories a square trinomial expression by using identities Evaluation SL LEARNING ACTIVITIES FAVOURABLE TO TLM NO COMPETENCIES LEARNING Tools Techniques Activities introspection 1 Introduction Definition of factorization. Charts of Recapitalization Drill work identities and of identities. to solve grouping of some monomials, 2 Different Factorization by taking common binomials and methods of factors, by grouping, difference of trinomials. factorization two squares. The sum and product of two positive if and only if both the numbers are positive. And if negative they are negative 3 Factorization Factorization by a square Drill work of trinomials trinomial. to solve Solving exercise and additional some

15 Unit Name:LINEAR EQUATIONS IN ONE VARIABLE OBJECTIVES 1. The meaning of linear equations in one variable. 2.To solve a linear equation I one variables. 3. To formulate a linear equations from a verbal problem. 4. To verify the solutions LEARNING ACTIVITIES Evaluation SL COMPETENC FAVOURABLE TO TLM NO IES LEARNING Tools Techniques Activities introspection 1 Definition Introduction *Black Questioning Observation of solution board. and *List of equations linear 2 definition definition of equations, equations Test Exam of linear solution. Given a problem equations by, setting up equations conforming to the given data is an important step in the solution of the. 3 Solving Rule for transforming. Problems Exercise linear *solving exercise equation in one variable. and additional 4 Application Applying knowledge of Black board Oral Check list s of linear linear equation to solve verbal equations.

16 Unit Name:EXPONENTS OBJECTIVES : 1.The concepts of an integral power to a non-zero base. 2. To write large numbers in exponential form. 3. About the various laws of exponents and their use in simplifying complicated expressions. 4.About the validity of these laws of exponents for algebraic variables. Evaluation SL LEARNING ACTIVITIES FAVOURABLE TO TLM NO COMPETENCIES LEARNING Tools Techniques Activities introspection 1 Introduction. Explanation of base and Chart of lows of Observation Check list exponents. Expansion of numbers. exponents. Indian contribution to large numbers. Uses of exponents in Blackboard daily life. 2 Laws of *laws of exponents Drill Problems exponents. 1)am x an = am+n 2) am an= am-n (If m>n) 3) (am)n= am x n. 4) (a x b)m = am xbm 5) ( a b)m =am bm Stating and explanig these laws 3 Problems on Taking set of and Problems Exercise laws of solving exponents

17 Unit Name:INTODUCTION TO GRAPH. OBJECTIVES 1. Identify a point in the plane using a rectangular coordinate system. 2. Set up a coordinate system and draw graphs of linear curves in such a system. 3. Get knows the way the coordinates of a point are related in two different rectangular coordinate system with axes parallel to each other. 4. Construction the equation of a straight line by looking at the graph of the straight line on a graph paper. SL LEARNING ACTIVITIES FAVOURABLE TO Evaluation TLM NO COMPETENCIES LEARNING Tools Techniques Activities introspection 1 Types of graph Introducing types of graph and Graph board, Explanation Chart drawing bar graph, pi chart Chart containing different 2 Coordinate system Using graph chart showing XOX types of Explanation Check list and YOY defining ordinate, graph. abscises, quadrant 3 Locating Locating points in graph sheet Questions Observation coordinates in and locating in different points in given graph sheet different quadrant 4 Linear graph Using given equation locating Problems Exercise (x,y) points in graph getting solution for equation.

18 Unit Name:AXIOMS, POSTULATES AND THEOREMS Objectives: 1.The meaning of underlined objects, axioms, postulates and hypothesis 2. That the line, points, plane, space are undefined objects in Euclidean geometry 3. Various types of angles and relation among these angles. 4. The properties of parallel lines and about Euclid s fifth postulates. Evaluation SL LEARNING ACTIVITIES FAVOURABLE TO TLM NO COMPETENCIES LEARNING Tools Techniques Activities introspection *Charts about Observation Check list 1 The meaning of Introduction undefined objects, Euclid. *Charts of 2 *That the lines, Meaning and examples of axioms axioms and Construction Questionnaire points, plane, space and postulation. postulations. *Charts of types are undefined objects in of angles. Euclidean geometry. angles and 3 *Various types of Lines and angles Drawing types of Check list relation among these angles angles. 4 * The properties of Explanation of properties of Problems Exercises parallel lines and about Euclid s fifth postulate. parallel lines and about Euclid s fifth postulate.

19 Unit Name: THEOREMS ON TRIANGLES. OBJECTIVES 1. Identify triangles in a collection of figures. 2. Classify different types of triangles based on sides and angles. 3. Recognize the angle sum property of triangle. 4. Identify the interior and exterior angles of a triangle. 5. Establish the relation between the exterior and interior opposite angles. 6. Prove logically angle sum property of the triangle. 7. Solve based on the angles of a triangle. Evaluation SL LEARNING ACTIVITIES FAVOURABLE TO TLM NO COMPETENCIES LEARNING Tools Techniques Activities introspection 1 Defining Collecting different kinds of Chart, black Explanation Chart triangle figures among those identifying board, etc. the triangles and defining triangles 2 Classifying types Drawing different types of Flash Check list triangles based triangles on their property then cards on elements defining types of triangles 3 Sum of internal Practically showing sum of Discussion Group angles of a internal angle is 180 and proving discussion triangle theoretically 4 Relation betweenusing property of sum of internal Practical Check list external and angle and sum of adjutant angles internal opposite on a line is 180 proving ext=sum angles opposite internal angles 5 Problems on the Using all above properties Problems Exercise angles of a finding missing angle in given triangle

20 Unit Name:Congruency of triangles OBJECTIVES *Identify the congruent figures. *Identify the congruent triangles *state the postulates for congruency of triangles. *appropriate the use of congruency of triangles in solving practical day to day *Understand that particular triples of elements determine the congruency of triangles *deduce logical methods for proving theorems *Solve based on different postulates of congruency Evaluation SL LEARNING ACTIVITIES FAVOURABLE TO TLM NO COMPETENCIES LEARNING Tools Techniques Activities introspection 1 *Congruency of *Definition of congruency. Chart of SAS, Oral Questions triangles * Explanation of corresponding SSS, and ASA *ASA postulates sides and angles. postulates for congruency. statements. 2 *Corresponding Statements and proof of the *Chart of Discussion Group sides and angles. theorems on SAS,ASA. corresponding discussion *SAS postulates Solving and additional angles and sides. for the congruency of triangles. 3 *SSS postulate for SSS postulates. Observation Check list congruency 4 RHS theorem RHS postulate. Solving Problems Exercises on application of all above postulates

21 Unit Name:CONSTRUCTION OF TRIANGLES OBJECTIVES Construction of triangles when *3 side are given *Construction of triangles when 2 sides and 1 angle given visa-vice *One side and hypotenuse is given. *when base, difference of the other two sides and one base angles of a right triangles are given Etc Evaluation SL LEARNING ACTIVITIES FAVOURABLE TO TLM NO COMPETENCIES LEARNING Tools Techniques Activities introspection 1 Introduction Recalling basics of triangle. Black board, Observation Check list chart of properties of 2 Construction of Using given data step by step triangle, Construction Questionnaire triangle1. 3sides construction is doing and student geometry box, 2. 2-sides,1-angle models of and follow the teacher 3. vice-verse are triangle given 3 When one side and Constructing triangle and Observation Check list hypotenuse is given following steps 4 Base, difference of Construction of triangle by Problems Exercises the other two sides following steps one base angle of right angle triangles are given and similarly constructing different types of triangles.

22 Unit Name: QUADRILATERALS. OBJECTIVES 1. Recognize quadrilaterals from given list of figures. 2. List out common properties of quadrilaterals. 3. Solve the sums related to quadrilaterals. 4. Classify different types of quadrilaterals and recognize their properties. 5. Transform the which occur in daily life related to quadrilaterals to numerical sums and solve them. Evaluation SL LEARNING ACTIVITIES FAVOURABLE TO NO COMPETENCIES LEARNING TLM Activities introspection Tools Techniques 1 Definition of Using different types of figures Chart, black Explanation Questionnaire quadrilaterals among those identifying board, etc. quadrilaterals and defining them according to its property 2 Properties of Listing out one by one properties Questions Questionnaire quadrilaterals of quadrilaterals. 3 Problems on Solving on Discussion Group quadrilaterals quadrilateral using its property discussion and given data 4 Types of Drawing different kinds of Practical Check list quadrilaterals quadrilaterals and naming them and their and listing their properties one properties by one 5 Utilizing to their By using day today life Problems Exercise daily life. based on area, perimeter solving those they will apply in their life

23 Unit Name: MENSURATION. OBJECTIVES 1.Recognize the cubes and cuboidal objects in our life 2. List out the properties of cubes cuboids. 3. Relate formulae to given. 4. Substitute the data in the given formula and solve the Evaluation SL LEARNING ACTIVITIES FAVOURABLE TO TLM NO COMPETENCIES LEARNING Tools Techniques Activities introspection 1 List of cuboids Collecting all related objects Chart, black Discussion Group and cubical and identifying their names board, cubes, discussion objects in day listing their properties cuboid today life,cylinder, cone 2 Formulae of cube Giving a brief idea about TSA,LSA,prism etc. Flash Check list and cuboid VOLUME of cube,cuboid cards 3 Problem solving Using suitable formulae solving Discussion Group discussion 4 Application of Solving different and Practical Check list mensuration applying them to day today life getting a wide range of applications