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Rationalising Surds: Simplify, Recognise Square Numbers

This lesson focuses on rationalising surds by expanding and simplifying them. Students will also learn to recognise square numbers and apply rules of surds. Includes practice exercises and peer assessment.

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Rationalising Surds: Simplify, Recognise Square Numbers

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  1. Surds – Thursday 26th September 2013 Copy the date, title and LO. Ensure that your literacy is correct! Register Challenge: Tell me one thing that you have learnt this term. Starter: Look through your book carefully. 1) Add targets from all of your homework's. 2) Make sure that you have copied my target into the back of your book. 3) Look at all of my green comments and mark them with a red pen to ensure that I know that you have read them. Extension: can you complete the timetable grid? Today’s Lesson Objectives: To be able to demonstrate that I can rationalise surds To be able to recognise square numbers and apply rules of surds

  2. Mark in red, total results, results at the back of your book – with a target!

  3. The Big Quiz:

  4. Could you tackle these?

  5. Why Surds? Learning Outcomes I can expand surds and simplify the resulting answer I can rationalise surds using multiplication and division rules and square number knowledge Grade A+ Grade A* Review

  6. There are 2 basic identities: • The first one:

  7. The Second One: • Note – There are no simple identities for adding and subtracting surds: • in most cases, something like this can't be simplified!

  8. Whiteboard Check: √6 x √5 √15x √5 √7 x √3 √2 x √8 Independence & Review

  9. Simplifying Surds: • To simplify a surd, you have to find the largest perfect square that divides x. • Above, that was 36. • You then separate the two to get something of the form. • Sometimes this isn't easy – • If you can't immediately find the largest factor, then, it's a good idea to get rid of smaller factors to simplify the problem.

  10. Grade A- Copy these sums and attempt them independently Independence

  11. Grade A- Copy these sums and attempt them independently Independence

  12. Grade A- Copy these sums and attempt them independently Independence

  13. Peer assessment Pick a box from below to copy and complete in your partner’s book Today (name) has done well at… One thing (name) needs to do to improve is... Next time (name) does this topic he/she needs to make sure... (Name) has met grade ... today because…

  14. Resources

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