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LET US LOOK AT ALGEBRA OF CLASS OF 6 AND 7

LET US LOOK AT ALGEBRA OF CLASS OF 6 AND 7. WELCOME TO ALL THE PARTICIPANTS. ALGEBRA OF CLASSES 6 TH AND 7 TH. GENERAL STRUCTURE. NAMEOF THE UNIT. INTRODUCTION. NECESSITY. GENERALIZATION THROUGH PATTERNS. APPLICATIONS. REINFORCEMENT. THINK AND DISCUSS. EXERCISE.

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LET US LOOK AT ALGEBRA OF CLASS OF 6 AND 7

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  1. LET US LOOK AT ALGEBRA OF CLASS OF 6AND 7 WELCOME TO ALL THE PARTICIPANTS

  2. ALGEBRA OF CLASSES 6THAND 7TH GENERAL STRUCTURE • NAMEOF THE UNIT • INTRODUCTION • NECESSITY • GENERALIZATION THROUGH PATTERNS • APPLICATIONS • REINFORCEMENT • THINK AND DISCUSS • EXERCISE

  3. INTRODUCTION TO ALGEBRA • INTRODUCTION THROUGH INTERESTING DISCUSSION • FRAMING RULES USING PATTERNS (THREE PATTERNS) • DERIVING THE TERM ‘VARIABLE‘ USING STICKERS PATTERNS • GENELAZATION THROUGH PATTERN • REINFOCEMENT THROUGH ‘TRY THIS’ • SOME MORE PATTERNS FOLLOWED BY ‘ TRY THIS’ • PROBLEMS AND TWO EXAMPLES

  4. EXCERCISE 9.1 CONSISTING OF VARIETY OF PROBLEMS BASED • ON FRAMING RULES. • 9.5 ALGEBRAIC EXPRESIONS ARE INTRODUCED WITH • FAMILIAR EXAMPLES AND ILLUSTRATIONS SUCH AS MARKS, • COSTS HEIGHTS,PERIMETER ETC., • EXERCISE 9.2 CONSISTING OF VARIETY OF PROBLEMS BASED • FRAMING ALGEBRAIC EXPRESIONS • 9.6 FORMULAE RELATING TO PERIMETER OF THE SQUARE AND • POSING A QUESTION ABOUT THE PERIMETER OF EQUILATERAL • TRIANGLE • ‘ TRY THIS’ PROLEMS

  5. 9.7 FRAMING A RULE FOR A GIVEN ARITHMETIC SERIES • ‘TRY THIS’ PROBLEMS FOR n thTERM OF GIVEN SERIES • 9.8 SIMPLE EQUATIONS • INTRODUCED WITH STICKERS ILLUSTRATION USING • TABULAR FORM • 9.8.1 L H S AND R H S OF AN EQUATION FOLLOWED BY • ‘TRY THIS’ PROBLEMS • 9.8.2 SOLVING THE EQUATION –TRIAL AND ERROR METHOD • THE INRODUCTORY PUZZLE IS CONSIDERD FOR SOLVNG • BY TRIAL AND ERROR METHOD. IN THE FORM OF A TABLE

  6. EXERCISE 9.3 PROBLEMS ARE GIVEN ON IDENTIFYING THE EQUATIONS, ‘LHS’ AND ‘RHS’ , SOLVING THE GIVEN EQUATION

  7. 7th CLASS ALGEBRA ( CHAPTER -11) • 11.0 INTRODUCTION WITH INTERESTING SCIENTIFIC FACTS AND RECENT CENSUS INFORMATION • NECESSITY OF EXPONENTS • DO THIS PROBLEMS (RE INFORCEMENT) • 11.1. EXPONENTS OF DIFFERENT BASES • DO THIS PROBLEMS (RE INFORCEMENT) • SPECIAL REFERENCE TO ‘SQUARE’ AND ‘CUBE’ • GENERALIZATION LEADING TO ‘am‘ • DO THIS PROBLEMS BASED ON EXPANDED FORM AND EXPONENTIAL FORM

  8. RESOLUTION OF GIVEN NUMBER INTO PRIME FACTORS • IN THE EXPONENTIAL FORM • DO THIS (FOR REINFORCEMENT) • EXERCISE -1 (FIVE PROBLEMS) BASED ON • 1. IDENTIFYING BASE AND EXPONENTS & • EXPRESSING IN EXPANDED FORM • 2. EXPONENTIAL FORM • 3. PRIME FACTORIZATION AND EXPONENTIAL NOTATION • 4. IDENTIFYING THE LARGER NUMBER • 5. EVALUATING THE VALUES

  9. 11.3 LAWS OF EXPONENTS 11.3.1 MULTIPLICATION OF THE NUMBERS WITH THE SAME BASE USING PATTERNS i.eamx am= am+n DO THIS PROBLEMS FOR REINFORCEMENT 11.3.2 POWER OF POWER i.e (am)n = amn DO THIS PROBLEMS FOR REINFORCEMENT 11.3.3 POWER OF POWER I.e amxbm= (ab)m DO THIS PROBLEMS FOR REINFORCEMENT

  10. 11.3.4 . QUOTIENTS EXPONENTS 11.3.4 (A) NEGATIVE EXPONENTS i.e a-m= 1/am USING PATTERNS FOLLOWED BY ‘TRY THIS’ PROBLEMS 11.3.4 (B) ZERO EXPONENT a0 = 1 11.3.4 (C ) DIVISION OF EXPONENTS WITH SAME BASE i.e., am /an = a m-n SPECIAL CASE WHEN m=n am /an = a m-n = a m-m = a o = 1 11.3.4 (D ) DIVISION OF TERMS WITH THE SAME EXPONENT i.e., (a/b)m = am /bm DO THIS PROBLEMS FOR REINFORCEMENT

  11. 11.3.5 EXPONENTS OF NEGATIVE BASES DO THIS PROBLEMS FOR REINFORCEMENT EXERCISE 2 (6 PROBLEMS BASED ON THE LAWS OF EXPONENTS) PROJECT WORK 11.3.6 STANDARD FORM OF LARGE NUMBERS EXERCISE 3 (4 PROBLEMS BASED ON STANDARD FORM OF LARGE NUMBERS )

  12. Appeal to groups • Thorough reading of chapter • Opinion on structure content and treatment of the topic keeping in view NCF and SCF • Identifying new terminology and new problems • Identifying the difficult items / concepts and suggesting suitable methods to deal it • Identifying both printing and content errors • Answering try this Do this think • Observing the exercise • Supplementing additional questions activities puzzles etc…

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