Difference between revisions of "Introduction to algebra"
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Revision as of 16:02, 17 May 2017
| Philosophy of Mathematics |
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Concept Map
Textbook
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Additional Information
Useful websites
Reference Books
http://ncert.nic.in/NCERTS/textbook/textbook.htm?femh1=11-14
Teaching Outlines
Concept #1 Algebraic thinking - Abstraction
Learning objectives
- To make meaning from patterns
- Able to extend patterns
- Able to state observed pattern in generalized terms
- Generalization; and stating in algebraic terms
- Algebraic variables can be “x” or “y” or “a” of “b”
- Combining algebraic terms – commutative and distributive properties
- Making simple expressions (addition, subtraction of multiple algebraic terms)
- Introduction to terminology called monomial, binomial, etc.
Notes for teachers
Abstraction is generalizing the thinking. So here will focus on activities to build skills of generalization.
Activities
- Activity 1 - Match stick abstraction
- Activity 2 - More Match sticks!!
Concept #2 Algebraic thinking - Arithmetic Abstraction
Learning objectives
Notes for teachers
Activities
- Activity 1 - Play with numbers
- Activity 1 - Play with more numbers
Concept #3 Algebraic thinking - Forming expression
Learning objectives
Notes for teachers
Activities
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Concept #4 Algebraic thinking - Manipulating algebraic expressions
Learning objectives
Notes for teachers
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Hints for difficult problems
Project Ideas
Math Fun
Usage
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