Difference between revisions of "Introduction to algebra"
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| Line 38: | Line 38: | ||
#Able to extend patterns | #Able to extend patterns | ||
#Able to state observed pattern in generalized terms | #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=== | ===Notes for teachers=== | ||
Abstraction is generalizing the thinking. So here will focus on activities to build skills of generalization. | Abstraction is generalizing the thinking. So here will focus on activities to build skills of generalization. | ||
| Line 43: | Line 49: | ||
#Activity 1 - [[Introduction_to_algebra_abstraction_activity_1|Match stick abstraction]] | #Activity 1 - [[Introduction_to_algebra_abstraction_activity_1|Match stick abstraction]] | ||
#Activity 2 - [[Introduction_to_algebra_abstraction_activity_2|More Match sticks!!]] | #Activity 2 - [[Introduction_to_algebra_abstraction_activity_2|More Match sticks!!]] | ||
| − | |||
==Concept #2 Algebraic thinking - Arithmetic Abstraction== | ==Concept #2 Algebraic thinking - Arithmetic Abstraction== | ||
Revision as of 14:37, 8 May 2015
| Philosophy of Mathematics |
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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
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