Difference between revisions of "Surds"
(→Worksheets) |
|||
| (25 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
==Concepts Learning Session== | ==Concepts Learning Session== | ||
| − | [https://youtu.be/0sEorVd7XfI/ Session # 1] What are Surds? What are complete surds? Expressing a complete surd as a product of a rational factor and another surd and vice versa. | + | [https://youtu.be/0sEorVd7XfI/ Session # 1] What are Surds? What are complete surds? Expressing a complete surd as a product of a rational factor and another surd and vice versa. Solve the [https://storage.googleapis.com/centumwiki/Worksheets/Mathematics/Surds/WS%20Surds%201.pdf Worksheet # 1] before you move on to the next session |
| − | [https://youtu.be/iXM6nnS79PQ/ Session # 2] What are similar surds? Addition and Subtraction of Surds | + | [https://youtu.be/iXM6nnS79PQ/ Session # 2] What are similar surds? Addition and Subtraction of Surds. After going through this session solve the [https://storage.googleapis.com/centumwiki/Worksheets/Mathematics/Surds/IX%3AM%3ASurds%232.pdf Worksheet # 2] |
| + | |||
| + | [https://youtu.be/cKHcIZEcyu0/ Session # 3] What is meant by order of Surds? How to convert different order surds into equivalent same order surds? | ||
| + | |||
| + | [https://youtu.be/wVJ85CsgZu4/ Session # 4] Comparing two surds. How to find out greater of the two given surds? | ||
| + | |||
| + | Time now for some practice. Solve this [https://storage.googleapis.com/centumwiki/Worksheets/Mathematics/Surds/WS%3AIX%3AM%3ASurds%233.pdf Worksheet # 3] to master the concepts. | ||
| + | |||
| + | [https://youtu.be/q_Fz32CfL8o/ Session # 5] Multiplication and Division of Surds of same and different orders. | ||
| + | |||
| + | Perfect the concept now by solving this [https://storage.googleapis.com/centumwiki/Worksheets/Mathematics/Surds/WS%3AIX%3AM%3ASurds%234.pdf Worksheet # 4] | ||
| + | |||
| + | [https://youtu.be/cwrO1-1XeGE/ Session # 6] Two or more surds connected by +/- sign. Operations on Compound Surds | ||
| + | |||
| + | [https://storage.googleapis.com/centumwiki/Worksheets/Mathematics/Surds/WS%3AIX%3AM%3ASurds%235.pdf Worksheet # 5 ] - Solve this worksheet before proceeding further | ||
| + | |||
| + | [https://youtu.be/_lLgud41P_4/ Session # 7] What is meant by rationalisation of Surds? How to rationalise a complete and a compound surd? Conjugate of a surd/ Complement of a Surd | ||
| + | |||
| + | You can check the problem solving sessions out before attempting the problems in the worksheets. | ||
| + | |||
| + | Time for some practice now. Solve this [https://storage.googleapis.com/centumwiki/Worksheets/Mathematics/Surds/WS%3AIX%3AM%3ASurds%236.pdf Worksheet # 6] before proceeding further. | ||
| + | |||
| + | [https://youtu.be/-lI2CQo1fYU/ Session # 8] Square root of a rational number can be either pure rational or pure irrational number. | ||
| + | |||
| + | [https://youtu.be/m_OHwlJhe0U/ Session # 9] Equality of surds. Conditions for two surds to be equal and related proofs. | ||
| + | |||
| + | [https://youtu.be/3dmafCBnIK4/ Session # 10] Square root of surds. | ||
==Worksheets== | ==Worksheets== | ||
| − | [https:// | + | [https://storage.googleapis.com/centumwiki/Worksheets/Mathematics/Surds/WS%20Surds%201.pdf Worksheet # 1] |
| + | |||
| + | [https://storage.googleapis.com/centumwiki/Worksheets/Mathematics/Surds/IX%3AM%3ASurds%232.pdf Worksheet # 2] | ||
| + | |||
| + | [https://storage.googleapis.com/centumwiki/Worksheets/Mathematics/Surds/WS%3AIX%3AM%3ASurds%233.pdf Worksheet # 3] | ||
| + | |||
| + | [https://storage.googleapis.com/centumwiki/Worksheets/Mathematics/Surds/WS%3AIX%3AM%3ASurds%234.pdf Worksheet # 4] | ||
| + | |||
| + | [https://storage.googleapis.com/centumwiki/Worksheets/Mathematics/Surds/WS%3AIX%3AM%3ASurds%235.pdf Worksheet # 5] | ||
| + | |||
| + | [https://storage.googleapis.com/centumwiki/Worksheets/Mathematics/Surds/WS%3AIX%3AM%3ASurds%236.pdf Worksheet # 6] | ||
| + | |||
| + | |||
| + | ==Problem Solving Sessions== | ||
| + | [https://youtu.be/_jMUQ8OCap0/ Session # 1] Problem related to application of rationalisation of Surds | ||
| + | |||
| + | [https://youtu.be/HwGQsyLbacc/ Session # 2] Problem related to application of rationalisation of Surds | ||
| + | |||
| + | [https://youtu.be/_3NbmzFggzU/ Session # 3] Problem related to application of rationalisation of Surds | ||
Latest revision as of 22:36, 17 June 2019
Concepts Learning Session
Session # 1 What are Surds? What are complete surds? Expressing a complete surd as a product of a rational factor and another surd and vice versa. Solve the Worksheet # 1 before you move on to the next session
Session # 2 What are similar surds? Addition and Subtraction of Surds. After going through this session solve the Worksheet # 2
Session # 3 What is meant by order of Surds? How to convert different order surds into equivalent same order surds?
Session # 4 Comparing two surds. How to find out greater of the two given surds?
Time now for some practice. Solve this Worksheet # 3 to master the concepts.
Session # 5 Multiplication and Division of Surds of same and different orders.
Perfect the concept now by solving this Worksheet # 4
Session # 6 Two or more surds connected by +/- sign. Operations on Compound Surds
Worksheet # 5 - Solve this worksheet before proceeding further
Session # 7 What is meant by rationalisation of Surds? How to rationalise a complete and a compound surd? Conjugate of a surd/ Complement of a Surd
You can check the problem solving sessions out before attempting the problems in the worksheets.
Time for some practice now. Solve this Worksheet # 6 before proceeding further.
Session # 8 Square root of a rational number can be either pure rational or pure irrational number.
Session # 9 Equality of surds. Conditions for two surds to be equal and related proofs.
Session # 10 Square root of surds.
Worksheets
Problem Solving Sessions
Session # 1 Problem related to application of rationalisation of Surds
Session # 2 Problem related to application of rationalisation of Surds
Session # 3 Problem related to application of rationalisation of Surds
