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Introduction to algebra (view source)
Revision as of 08:47, 2 September 2013
, 08:47, 2 September 2013→Concept #1 Algebraic thinking - Abstraction
==Concept #1 Algebraic thinking - Abstraction==
==Concept #1 Algebraic thinking - Abstraction==
===Learning objectives===
===Learning objectives===
#To make meaning from patterns
#Able to extend patterns
#Able to state observed pattern in generalized terms
===Notes for teachers===
===Notes for teachers===
Abstraction is generalizing the thinking. So here will focus on activities to build skills of generalization.
===Activity No # ===
===Activity No # ===
{| style="height:10px; float:right; align:center;"
{| style="height:10px; float:right; align:center;"
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
|}
|}
*Estimated Time
*Estimated Time - 15 minutes
*Materials/ Resources needed
*Materials/ Resources needed
Open space, match sticks, blackboard
*Prerequisites/Instructions, if any
*Prerequisites/Instructions, if any
*Multimedia resources
*Multimedia resources
*Website interactives/ links/ / Geogebra Applets
*Website interactives/ links/ / Geogebra Applets
*Process/ Developmental Questions
*Process/ Developmental Questions
Ask children to make the letter "Z" from sticks. Each group to make as many Z as possible within 5 minutes.
'''Discussion questions'''
#How many sticks were needed for 1 "Z"?
#How many sticks were needed for 2 "Z"?
#....
#How many sticks were needed for n "Z"?
#Children have you noticed any relationship between the number of "Z"s formed and the number of sticks used to form the letter "Z"?
Outcome: 3n sticks are required to form "Z" n-times. Children observe the variation in number of sticks when number of "z"s is increased /decreased.
The discussion has ended up with children generalizing the pattern they observed.
#The number of matchstick depended on what?
Outcome: The number of matchstick is a variable and will depend on number of "Z"
*Evaluation
*Evaluation
#Ask children to make matchstick patterns for other letters, like "F", "A", "W"
#Make patterns of 1Z, 2Z, 3Z, 4Z and ask children to generalize patterns
*Question Corner
*Question Corner