NCERT - 8 - Maths :: Algebraic Expressions and Identities

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Go To: NCERT-Mathematics-Grade 8

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Course Content / Subtopic list:


  1. What Are Expressions, Terms Factors And Coefficients
  2. Monomials Binomials And Polynomials
  3. Like And Unlike Terms
  4. Addition And Subtraction Of Algebraic Expressions
  5. Multiplication Of Algebraic Expressions
  6. Multiplying A Monomial By A Monomial
  7. Multiplying A Monomial By A Polynomial
  8. Multiplying A Polynomial By A Polynomial
  9. What Is An Identity, Shared Identities, Applying Identities

Lesson Plan

[Author - Kripa S]


Objective: Revise algebraic concepts, learn operations on expressions, learn about identities

Subtopics to be covered:

- Revise terms, types of expressions

- Add, subtract polynomials

- Multiply two expressions using distributive property

- Standard identities

Learning Outcome:

- Students know to classify algebraic expressions

- They can add, subtract, multiply two expressions

- They can solve problems using standard algebraic identities



Videos

[Contributor - Rishi Mazumdar]

(Source - Khan Academy)

https://hi.khanacademy.org/math/in-eighth-grade-math/algebraic-expressions-identities (Hindi - Algebraic Expressions and Identities)

Images

[Author - Kripa S]


http://3.bp.blogspot.com/-Kb8C_ggOpzg/U_rIoQpXw9I/AAAAAAAABfA/I-yRpR4d-eM/s1600/1.12.png (algebraic expressions and terms)

http://www.mathscore.com/math/free/lessons/mathTips/algebraicTerms.gif (terms of expressions)

http://3.bp.blogspot.com/-Kb8C_ggOpzg/U_rIoQpXw9I/AAAAAAAABfA/I-yRpR4d-eM/s1600/1.12.png (types of terms)

http://tutorial.math.lamar.edu/Classes/Alg/Polynomials_files/eq0002MP.gif (degree of expression)

http://www.aplustopper.com/wp-content/uploads/2016/09/Algebraic-Identities.png (identities)

http://s3.mnimgs.com/img/shared/discuss_editlive/2315393/2012_08_23_12_13_42/wumdmxbq_5989364557219336072.png ( formula to simplify expressions)


Activities

[Contributor - Apoorva Shetty]

1. The class should be divided in three groups xy2,x2y,x2y2.

2. Each child should be assigned the group randomly along with an integer co-efficient. (Eg. 9x2y2,6xy2 etc.)

3. They need to find their team-mates and tally the total sum of the group.

4. The teacher can verify this and whichever team can get the correct tally the fastest wins.

5. You can also divide the class in this way to form polynomial expressions and add/multiply them.

Additional Aids

[Author - Dr Nikitha Narayan]

https://drive.google.com/open?id=0BzNF2YyqQxJ-a3pKYUp2bVVRRjA

Transliteration

[Contributor - Suwetha]

Term Transliterated Term Translated Term
Expressions एक्सप्रेशंस व्यंजक
Terms टर्म्स पद
Factors फैक्टर्स गुणनखंड
Coefficients कोएफ़िशिएंट्स गुणांक
Monomials मोनोमियल्स पदी
Binomials बैनोमियल्स द्विपद
Polynomials पोलीनोमियल्स बहुपद
Like term लइक टर्म समान पद
Unlike term अनलइक टर्म असमान पद
Identity आइडेंटिटी सर्वसमिका
Equality इक्वलिटी समिका
Variables वेरिएबल्स चर
Constant कांस्टेंट अचर
Trinomials ट्रिनोमियल्स त्रिपदी

Worksheets

[Author - Dr Nikitha Narayan]

https://drive.google.com/open?id=0BzNF2YyqQxJ-YjVOaEZRbkdWRzA


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