I wasn't able to get extra revision notes from Ms.O'C. but if you wish to review algebra quickly you might look at these 2 worked solutions that I used with my 6th years.

Wishing all my students the best in the Christmas Exams.
I wasn't able to get extra revision notes from Ms.O'C. but if you wish to review algebra quickly you might look at these 2 worked solutions that I used with my 6th years.
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Today we looked at how to use de Movire's Theorem, we also referred to the unit circle and how it can be used to evaluate cos and sin values. Class notes uploaded (click here)
We then started making revision notes on Complex Numbers. HW is it work on these notes. Today we answered questions that involved multiplying and dividing numbers in their polar form, this lead to de Movire's Theorem that can be used to evaluate complex numbers raised to a power. (Click for notes)
Today in class we looked again at how to write a complex number in its polar form Exercise 3.7. We then introduced the rules for multiplying and dividing complex numbers in their polar form Exercise 3.8. These 2 rules are given in the log tables. Class notes are uploaded. (Click here). HW Ex 3.8 Q.1-2.
Students requested that some time be given to writing revision notes before Christmas and that a handout of sample revision questions would be useful. Today we continued questions 3.7 looking at converting a complex number into its Polar Form. (notes)
Today we corrected questions with conjugate roots. We then introduced the Polar form of a complex number and learned how to convert angles in radians to degrees. Class notes uploaded here. Today we spent the class looking over the HW on questions from sec. 3.6 dealing with conjugate roots of quadratic and cubic equations. Class notes are uploaded (click here). HW is Sec. 3.6 Questions 6, 8 and 11.
Today we looked at our progress to date and have indicated that we may need to progress smartly through the course to but us in a favourable position next year. Though the Christmas test will only be on Chapters 1-3. In class we corrected a question from 3.5 on Argand diagram transformations and started questions using the "conjugate root theorem". Class notes have been uploaded (click here). HW is Section 3.9 Q.2(i), 3(ii), 4, 5. it is important to remember that these questions assume that everything you learned in chapter is known, eg.. factor theorem, how to solve a quadratic or cubic, forming equations from roots etc.. Today in class I experimented with the e-Beam interactive with limited success. I find it interesting that some of you have had this technology in your classrooms when you were in 4th class 7 years ago. Students used a Cornell University style of note taking template in class. Also you took time to partake in a quick survey at the end of class - thank you for this. We corrected some HW questions from ex. 3.5 on complex numbers and we investigated the meaning of 'Absolute value' of a number. Class notes have been uploaded. (Click here) |