Progressions

From Karnataka Open Educational Resources

The Story of Mathematics

Philosophy of Mathematics

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org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

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Concept Map

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Textbook

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  1. Karnataka textbook for class 10 Chapter 3 -Progressions
  2. Tamilnadu textbook for class 10 chapter 4 pages : 34 to 67
  3. Gujarat textbook for class 10 : Chapter 5 Arithmetic progression
  4. Kerala state textbook for class 10 : Chapter 01 Arithmetic Sequences

Additional Information

Useful websites

  1. Common Number patterns
  2. Recognising Number Patterns
  3. Match Sticks Activity
  4. FIND THE Nth TERM USING "POWER" AND "FRACTIONS"
  5. FINDING THE nth TERM IN A SEQUENCE
  6. Maths is fun for Arithmetic progressions
  7. Maths is fun for Geometric progressions
  8. this PPT will give basic information of progressions
  9. -this pdf file deals with the fundamentals of A.P
  10. Number pattern and number sequence
  11. Introduction to A.P
  12. Understanding A.P
  13. Formula deriving nth term of an A.P.
  14. Using formula nth term of anA.P.
  15. Formuladerivation ofsum of n termsof an AP
  16. Formula derivationsum of n termsof an AP whenfirst term andlast term is given
  17. Sum of first nterms of an A.P.Problems
  18. Understanding GP
  19. CBSE-i Arthimetic progression and geometric progression

video on progressions from youtube

  1. Arithmetic progressions videos

Reference Books

Teaching Outlines

  1. In different number pattern relating terms of the pattern
  2. Defining different number pattern
  3. Recognition of each terms
  4. Differnce between finite and infinite sequence
  5. Difference between sequence and series

Concept #1 Introduction to progression

Learning objectives

  1. Identifying the pattern present in different number pattern
  2. Meaning of the sequence
  3. Defining the terms of the sequence
  4. Writing the next terms and n'th term of the given sequences
  5. Defining the finite and infinite sequence and examples.

Notes for teachers

  1. An orderly arrangement of numbers according to a certain rule is called a sequence.
  2. A sequence containing finite number of terms is called a finite sequence.
  3. A sequence containing infinite number of terms is called an finite sequence.

Activity

  1. Activity No #1 - Introduction to progression click here
  2. Activity No #2 - Introduction to progression click here

Concept #2 types of progression

Learning objectives

  1. Classification progression depending upon relation between consecutive terms
  2. Identify the types of progression for given sequence
  3. Giving example for three types of progression.

Notes for teachers

  1. The difference between any term and its preceding term is a constant ------- Arithmetic progression
  2. The reciprocals of the arithmetic progression --------Harmonic progression
  3. The ratio between any term and its preceding term is constant -------Geometric progression.

Activity

  1. Activity No #1 activity to types of progressions click here
  2. Activity No #2 activity to types of progressions click here

Hints for difficult problems

  1. A company employed 400 persons in the year 2001 and each year increased by 35 persons. In which year the number of employees in the company will be 785? Please clickhere here for the solution.
  2. In an A.P. sum of first 6 terms is 345.If difference between first term and last term is 55 then find that terms.

Please clickhere here for the solution.
#10th arithmetic progression solves questions

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