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From Karnataka Open Educational Resources
Algebraic Expressions (view source)
Revision as of 09:04, 11 November 2019
, 09:04, 11 November 2019no edit summary
* '''Question Corner'''
* '''Question Corner'''
== Concept 1 : Generalization; and stating in algebraic terms ==
==Concept #==
== Concept 3: Combining algebraic terms – commutative and distributive properties ==
=== Lesson 1 ===
# Give students simple addition (with carry forward).
# In a group students add in different order and verify
# They should multiply in different order and verify
# Also do the distributive property like this
# Go back to the number of squares and triangles and activities and introduce Expressions.
# Give Ex-11.2 different problems as homework/ classwork practice problems.
=== Lesson 2 ===
http://www.commoncoresheets.com/Math/Patterns%20and%20Function%20Machines/Identifying%20Pattern%20Attributes/English/1.pdf
# Numbers and generalizations – Use the spreadsheet to work with addition and subtraction and multiplication generalization
# Students must make word problems in groups to describe a given expression
# Students can work in groups for this number pyramid also - check file
# See page 232 of NCERT book used. That verbal/ mathematical expression important to build.
# Exercise 11.3 for all students (Do 11.3 with the spreadsheet – discuss some problems)
# In groups have children write out expressions for given situations in Page 234 of the book chapter.
# Exercise 11.4 based on student level
# Introduce equation (based on perimeter of an object) – Show Geogebra file
==Concept 4: Making simple expressions (addition, subtraction of multiple algebraic terms)==
===Learning objectives===
===Learning objectives===
# Revisit forming an expression; take the same square example they did above. Extend by making it like this
[[:File:algebra2.png]]
# See this link very useful - http://nrich.maths.org/8111
## How may different ways can you draw?
## How many down (vertical) lines and how many inverted C?
## How many along (horizontal lines) and and how any downs?
## How many squares and inverted C?
## How many match sticks?
## Exercise 11.4 based on student level
## Exercise 11.5 based on student level
===Notes for teachers===
===Notes for teachers===
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''
* '''Evaluation (Questions for assessment of the child)'''
* '''Evaluation (Questions for assessment of the child)'''
* '''Question Corner'''
* '''Question Corner'''
===Activity No # ===
===Activity No # ===
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* '''Evaluation (Questions for assessment of the child)'''
* '''Evaluation (Questions for assessment of the child)'''
* '''Question Corner'''
* '''Question Corner'''
== Concept 5 : Introduction to terminology called monomial, binomial, etc. ==
# Expressions involving square
# The objectives of this lesson is to show the difference between 5x2 and (5x)2
# Use the attached Geogebra file and use following questions.
# What is the side of small square?
# What is the side of large square? Explain in terms of small square
# What is the area? Of small square? Of large square? Express in variables
(x)² and (factor*x)². How is this different from factor*x²
# For the (5x)2 you should keep drawing squares using polygon tool.
# Use the following second NCERT textbook
http://ncert.nic.in/NCERTS/textbook/textbook.htm?gemh1=12-15 - Exercise 12.1
= Hints for difficult problems =
= Hints for difficult problems =
