Progressions
From Karnataka Open Educational Resources
Philosophy of Mathematics |
[http://www.karnatakaeducation. Activity Keywords org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics] |
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Concept Map
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Textbook
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Additional Information
Useful websites
video on progressions from youtube
Reference Books
Teaching Outlines
- In different number pattern relating terms of the pattern
- Defining different number pattern
- Recognition of each terms
- Differnce between finite and infinite sequence
- Difference between sequence and series
Concept #1 Introduction to progression
Learning objectives
- Identifying the pattern present in different number pattern
- Meaning of the sequence
- Defining the terms of the sequence
- Writing the next terms and n'th term of the given sequences
- Defining the finite and infinite sequence and examples.
Notes for teachers
- An orderly arrangement of numbers according to a certain rule is called a sequence.
- A sequence containing finite number of terms is called a finite sequence.
- A sequence containing infinite number of terms is called an finite sequence.
Activity
- Activity No #1
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- Activity No #2
Activity - Name of Activity
Estimated Time
Materials/ Resources needed
Prerequisites/Instructions, if any
Multimedia resources
Website interactives/ links/ simulations/ Geogebra Applets
Process (How to do the activity)
Developmental Questions (What discussion questions)
Evaluation (Questions for assessment of the child)
Question Corner
Activity Keywords
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Concept #2 types of progression
Learning objectives
- Classification progression depending upon relation between consecutive terms
- Identify the types of progression for given sequence
- Giving example for three types of progression.
Notes for teachers
- The difference between any term and its preceding term is a constant ------- Arithmetic progression
- The reciprocals of the arithmetic progression --------Harmonic progression
- The ratio between any term and its preceding term is constant -------Geometric progression.
Activity
- Activity No #1
- Activity No #2
Hints for difficult problems
- 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.
- 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.
Project Ideas
Math Fun
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