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From Karnataka Open Educational Resources
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= Concept Map =
 
= Concept Map =
<mm>[[Introduction_to_algebra.mm|Flash]]</mm>
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[[File:Introduction_to_algebra.mm|Flash]]
 
__FORCETOC__
 
__FORCETOC__
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=Additional Information=
 
=Additional Information=
 
==Useful websites==
 
==Useful websites==
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http://www.math-drills.com/patterning.shtml <br>
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http://www.commoncoresheets.com/Patterns.php<br>
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http://www.math-aids.com/Algebra/Pre-Algebra/Expressions/Translate.html<br>
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==Reference Books==
 
==Reference Books==
 
NCERT Book referenced <br>
 
NCERT Book referenced <br>
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Activity and lesson 1
 
Activity and lesson 1
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[[File:1..png|500px]]<br>[[File:2..png|500px]]<br>
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[[File:1.0..png|700px]]<br>[[File:2..png|700px]]<br>
 
The students must complete the table like the following:
 
The students must complete the table like the following:
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Give Ex-11.2 different problems as homework/ classwork practice problems.<br>
 
Give Ex-11.2 different problems as homework/ classwork practice problems.<br>
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'''Lesson 3'''
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(this may take 2 periods)<br>
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*http://www.commoncoresheets.com/Math/Patterns%20and%20Function%20Machines/Identifying%20Pattern%20Attributes/English/1.pdf<br>
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*Numbers and generalizations – Use the spreadsheet to work with addition and subtraction and multiplication generalization<br>
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*Students must make word problems in groups to describe a given expression<br>
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*Students can work in groups for this number pyramid also - check file<br>
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*See page 232 of NCERT book used.  That verbal/ mathematical expression important to build.<br>
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*Exercise 11.3 for all students (Do 11.3 with the spreadsheet – discuss some problems)<br>
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*In groups have children write out expressions for given situations in Page 234 of the book chapter.<br>
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*Exercise 11.4 based on student level <br>
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*Introduce equation (based on perimeter of an object) – Show Geogebra file<br>
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'''Lesson 4'''
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Revisit forming an expression; take the same square example they did above.  Extend by making it like this
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[[File:3..png|400px]]<br>
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See this link very useful - http://nrich.maths.org/8111<br>
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-How may different ways can you draw?<br>
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-How many down (vertical) lines and how many inverted C?<br>
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-How many along (horizontal lines) and and how any downs?<br>
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-How many squares and inverted C?<br>
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-How many match sticks?<br>
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*Exercise 11.4 based on student level
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*Exercise 11.5 based on student level
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'''Lesson 5'''
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Expressions involving square<br>
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The objectives of this lesson is to show the difference between 5x2  and (5x)2<br>
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Use the attached Geogebra<br>
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file and use following questions.<br>
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What is the side of small square?<br>
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What is the side of large square? Explain in terms of small square<br>
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What is the area? Of small square? Of large square? Express in variables<br>
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(x)² and (factor*x)².  How is this different from factor*x²<br>
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For the (5x)2  you should keep drawing squares using polygon tool.<br>
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Use the following second NCERT textbook<br>
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http://ncert.nic.in/NCERTS/textbook/textbook.htm?gemh1=12-15<br>
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Exercise 12.1
    
===Activity No # ===
 
===Activity No # ===
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