Surds

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

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Concept Map

Error: Mind Map file Surds in Manjesh.mm not found

Textbook

Please click here for Karnataka and other text books.

Additional Information

Useful websites

1. Surds starts with basic concepts,(to view the next page, please click on previous/up/next options in the bottom of the page
2. Please refer Wikipedia page for Surds. This page discusses SuFNcY1z8dr6srds in detail.
3. surds and other rootsThis page discusses surds and roots in detail.
4. Video on Surds from Youtube :simplifying surds,rationalising surds,dividing and multiplying surds

Reference Questions

1. what is the meaning of surds?
2. Difference between like and unlike surds.
3. Meaning of Pure and mixed surds.
4. Simplification of rationalising the denominator.

Teaching Outlines

Concept 1: Definition of surds

Learning objectives

1. know the meaning of surds
2. recognising radicand and order of surds

Notes for teachers

If you can't simplify a number to remove a square root (or cube root etc) then it is a surd. If it is a root and irrational, it is a surd. But not all roots are surds.

Activities

1. Activity1

click here

Concept-2: Like and Unlike surds

Learning objectives

1. Know the meaning of surd
2. recognising the meaning of order and radicand
3. Examples of like and unlike surds
4. To change surd to simplest form
5. Addition and Multiplication og surds

Notes for teachers

1.Like surds: A group of surds having same order and same radicand in their simplest form. Example: $3{\sqrt {5}},7{\sqrt {5}},x{\sqrt {5}}$
2.Unlike surds: Groups of surds having different orders or different radicandsor both in their simplest form. Example: ${\sqrt {a}},3{\sqrt {2}},x{\sqrt {5}}$
3.Addition and sustraction of surds. Example: $2{\sqrt {5}}+3{\sqrt {5}}-{\sqrt {5}}$
4.Multiplication of surds. Example: $7{\sqrt {3}}X2{\sqrt {5}}$

Activities

1. Activity No:1 Activity for like and unlike surds click here

1. Activity No:2

Assessment activities for CCE

Solving problems with same order and same radicand, same order and different radicand, different order and different radicand also different order and same order. Examples: Surds_CCE_Activity click here

Hints for difficult problems

Please clickhere\here

Project Ideas

KOER_Mathematics_2014-15#Resources_and_handouts

Math Fun

Teachers contributions for this page

1. Tharanath Achar Sir, Graduate Assistant. Govt. P U College, Belthangady