1) After the quiz (or for homework), watch the 2 videos below and take notes on imaginary numbers, and simplifying & multiplying square roots with a negative radicand.
2) Then in Delta Math, complete the "9/1 - Imaginary numbers (i); powers of i, simplifying square roots with negative radicands and multiplying imaginary numbers" assignment.
Video for imaginary numbers and simplifying:
Video for multiplying imaginary numbers:
Today we reviewed completing the square and worked on the homework problems in class. For your homework, there are 2 parts to each question: 1) write the equation in vertex form by completing the square and 2) solve using square root method to find the two solutions.
Below are the equations in vertex form:
1. (x + 1)^2 = 10
2. (x – 6)^2 = 8
3. (x + 10)^2 = -4
4. (x + 3/2)^2 = 13/4
5. (x – 4^)2 = 7
6. (x - 5/2)^2 = 3
7. (x – 3)^2 = 16
8. (x – 3)^2 = 44
9. (x + 7)^2 = -1
10. (x + 5)^2 = -45
** Be sure to also solve for x. Submit your homework in CTLS.
Today we reviewed for your quiz tomorrow. Complete at least one of the 8/28 Quiz review assignments in Delta Math. You will need to know how to:
- simplify square roots
- simplify cube roots
- add radicals
- multiply radicals
- divide radicals (rationalize the denominator)
Remember that live Help sessions are from 4pm - 5pm on Mondays and Wednesdays.
After you are finished with your quiz today, please watch the following video and take notes on completing the square.
Video for notes on completing the square:
Homework: Study for your quiz tomorrow. In Delta Math, complete the 8/25 Unit 1 Quiz review assignment.
Homework: In Delta Math, complete "8/27 Multiplying binomials & rationalizing denominators with the conjugate" and "8/27 Quiz review - Simplifying & operations with radicals". Your quiz is Monday, 8/31.
Today we learned how to multiply radicals in a binomial (two terms) by a monomial (one term) and by another binomial. We also learned how to simplify a fraction with a binomial in the denominator by using the conjugate.
The videos from the notes in class today are below:
Multiplying notes (page 1):
Dividing notes (page 2):
Today we learned how to multiply and divide radicals. The 2 videos for today's notes are below.
Homework: In Delta Math, complete the "8/24 Multiplying and dividing radicals" assignment.
Help session today from 4pm - 5pm.
Video: Multiplying fractions:
Video: Dividing radicals:
Homework: Choice: Either 1) complete the WS 3 - Complex numbers worksheet document posted in CTLS OR 2) Complete the "8/24 Complex numbers" assignment in DeltaMath.
Below are 2 videos for the 2 pages of notes (also posted in CTLS):
Page 1 of notes:
Page 2 of notes:
Answers to 8/21 homework:
Answers to Friday, 8/21 Homework:
1. x = 0, x = 7/3
6. x = 7, x = 4/9
7. x = 3, x = - ½
12. x = 3/2, x = -4
15. x = -3/5, x = ½
16. x = 0, x = 7
18. x = 4/5, x = 2
Video explaining homework answers:
Homework: In DeltaMath, complete the "8/21 Add & Subtract radical expressions" assignment. If you didn't complete the assignment from Thursday, also complete the "8/20 Simplify square and cube roots with variables" assignment.