Progressions

From Karnataka Open Educational Resources
Jump to navigation Jump to search

The Story of Mathematics

Philosophy of Mathematics

[http://www.karnatakaeducation. Activity Keywords

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

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

While creating a resource page, please click here for a resource creation checklist.

Concept Map

Error: Mind Map file PROGRESSIONS.mm not found


Textbook

To add textbook links, please follow these instructions to: (Click to create the subpage)

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

Additional Information

Useful websites

  1. Maths is fun for Arithmetic progressions
  2. Maths is fun for Geometric progressions
  3. this PPT will give basic information of progressions
  4. -this pdf file deals with the fundamentals of A.P

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
  For Arithmetic Progressions SUM Derivation of formulaclick here
  1. Activity No #2

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
  2. Activity No #2

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.

  1. 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.

  1. 10th arithmetic progression solves questions

Project Ideas

Math Fun

Usage

Create a new page and type {{subst:Math-Content}} to use this template

Retrieved from "https://karnatakaeducation.org.in/KOER/en/index.php?title=Progressions&oldid=13993"