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Narayanswamy - Trig/Pre-Calc

Course Description

 

Class Title:

Trigonometry/

Pre-Calculus

Code:

HMA160

Text:

Teaching Textbooks Pre-Calculus

Rating:

5

Prerequisite:

Completion of Algebra 2 and Geometry with a grade of C or better or placement test

Grade:

11-12

Fees:

None

Max:

15

Can be repeated? No

Description: THIS IS A TWO-SESSION, DUAL ENROLLMENT CLASS. STUDENTS MUST TAKE BOTH SESSIONS TO ENROLL IN THIS CLASS. Students enrolling in this class will meet twice during the week. Students will complete all of Trigonometry, Math Analysis and Pre- Calculus through home assignments four days per week and two class periods per week. Students will study concepts including polynomial, rational, exponential, and logarithmic and trigonometric functions, coordinate geometry, probability and statistics, matrices and determinants, vectors and introductory calculus. Students will receive a textbook, answer key and set of computer CDs with step-by-step solutions. The Teaching Textbooks program uses a review method to ensure retention. Parents will be expected to work with their student daily at home on classroom assignments. Students will be required to have a Ti-83+ or comparable calculator.

Posts

Week 23 of Classes: Wednesday Feb 26

Hello APEX Families,
 
Here's the summary of classes today:
 
Algebra 1: We started a new chapter on 2-variable equations. Students learned vocabulary such as independent and dependent variables and functions. Students learned to solve equations for one variable or the other. We discussed how profits and number of sales are related in a business and what break even sales mean (just enough sales to make income equal the expense)
 
Homework: Assigned (see the homework post)
 
 
Precalculus/Trig: We discussed a new set of trig identities, namely, double angle identities. We solved several problems related to identities together.
 
Homework: Assigned (see the homework post)
 
 
Pre-algebra: We started a new unit on powers. Students learned the basics of powers and how they are used in scientific notation, the place of powers in the order of operations and how to add, subtract, and multiply powers. 
 
Homework: Assigned (see the homework post)
 
 
Consumer Math: Students worked online to get prices of various items on their grocery list.
 
Homework: Assigned (see the homework post)
 
 
Problem of the Week #19: Problem of the Week #19 is posted today. Answers for last week's problems (POW #18) will be posted this Friday.
 
Thanks
Mrs. Narayanswamy

Week 23 of Classes: Monday, Feb 24

Hello APEX Families,
 
Here's the summary of classes today:
 
Algebra 1: Our algebra 1 class primarily focused on solving border problems using completing the square technique and practicing solving quadratic equations in general. 
 
Homework: To be assigned on Wednesday
 
 
Precalculus/Trig: We wrapped up the lessons  on sum and difference of angles in trig ratios including sine, cosine, and tan.
 
Homework: To be assigned on Wednesday
 
 
Pre-algebra: We reviewed multiplication of rational expressions. Then we wrapped the chapter on rational expressions by learning to divide, add and subtract such fractions. We started a new chapter on powers and learned the basics of what power means and how scientific notation uses powers.
 
Homework: Assigned (see the homework post)
 
 
Consumer Math: Students worked online to get prices of various items on their grocery list.
 
Homework: Assigned (see the homework post)
 
 
Problem of the Week #19: Problem of the Week #19 is posted today. Answers for last week's problems (POW #18) will be posted this Friday.
 
Thanks
Mrs. Narayanswamy

Solution to Puzzle Of The Week #17

Hello Problem Solvers
 
Please find attached the solutions to last week's Valentine's Day puzzles.
 
The students listed below participated and put their solutions into the answer jar this week. And they ALL got them right! Great job everybody! Congratulations!!
 
James Schmeisser 
Alexa Schehrer
Nicki Million
Rebecca Freeman
 
Rebecca won the raffle for the prize this week. Yay! Rebecca, please stop by to pick your prize. Every one else, don't forget to get a treat from me for all your hard work and enthusiasm solving these puzzles.
 
Have a great weekend!
Mrs. N

Week 22 of Classes: Wednesday, Feb 19

Hello APEX Families,
 
My apologies for my delayed posting! Here's the summary of classes today:
 
Algebra 1: We continued our discussion of quadratic equations and reviewed the completing the square technique again. In addition, we also went over a border problem involving quadratic equation. We will do a few more border problems next week.
 
Homework: Assigned (see the homework post)
 
 
Precalculus/Trig: We reviewed some of the identities we had learned on Monday and used them to simplify several trig expressions and prove some trig identities. We also learned the 4 sum and difference identities involving sine and cosine. We proved the cos(a-b) formula. We will wrap up this lesson next week.
 
Homework: Assigned (see the homework post)
 
 
Pre-algebra: We reviewed what we had learned about simplifying rational expressions from last week. Students then learned to multiply, divide, add and subtract such fractions. 

Homework: Assigned (see the homework post)
 
 
Consumer Math: We did the accounting for our school store today. Students wrote a thank you note to APEX for giving us the seed money to start the school store and then we returned the loan to APEX! Yipee!! Good work everybody :-) Students then worked on creating the grocery list for their simulated adult life.
 
Homework: Work on your grocery list if you haven't already completed it. We will go online next week to shop for the items.
 
 
Problem of the Week #18: Problem of the Week #18 is posted today. Answers for last week's problems (POW #17) will be posted this Friday.
 
Thanks
Mrs. Narayanswamy

Week 22 of Classes: Monday, Feb 17

Hello APEX Families,
 
Here's the summary of classes today:
 
Algebra 1: We reviewed different ways of solving quadratic equations that we had covered last week. Students learned two new techniques, namely advanced reverse distribution and completing the square.
 
Homework: To be assigned on Wednesday
 
 
Precalculus/Trig: We started a new unit on trig identities. Students learned the reciprocal, quotient, co-function, and pythagorean identities.
 
Homework: To be assigned on Wednesday
 
 
Pre-algebra: We reviewed the last few lessons related to like terms with x's and equations with x's on both sides of the "equal to" sign. We started a new chapter on rational expressions. Students learned to simplify fractions with x's. We also went over a problem involving multiplication of such rational expressions.
 
Homework: Assigned (see the homework post)
 
 
Consumer Math: We did the accounting for our school store today. Students wrote a thank you note to APEX for giving us the seed money to start the school store. We then returned the loan along with our thank yous! Students worked on the grocery list for their simulated adult life.
 
Homework: Work on your grocery list. We will have some class time next week to complete it before we go online to shop for the items.
 
 
Problem of the Week #17: Problem of the Week #18 is posted today. Answers for last week's problems (POW #17) will be posted this Friday.
 
Thanks
Mrs. Narayanswamy

Solution to Puzzle Of The Week #16

Hello APEX Math Lovers,
 
Please find attached the solutions to last week's 2 puzzles.
 
The one and only awesome problem solver for this week was MICAH HEINS from Thursday Pre-algebra class! And he solved both puzzles correctly!! Wonderful job Micah - Congratulations :-) Remember to come by and pick your prize next week.
 
Thank you
 
Mrs. N

Week 21 of Classes: Wednesday, Feb 12

Hello APEX Families,
 
Please note that we have school store next week. Here's the summary of classes today:
 
Algebra 1: We continued our discussion of quadratic equations and learned to solve some of them using the process of undoing and others using simple factoring technique.
 
Homework: Assigned (see the homework post)
 
 
Precalculus/Trig: We reviewed some of the extra problems from the last chapter test and quiz. We solved several trig equations. 
 
Homework: Assigned (see the homework post)
 
 
Pre-algebra: Students took a multiplication facts quiz. We solved equations with x's on both sides of the "equal to" sign and set up similar equations for word problems. We started a new chapter on rational expressions and simplified simple fractions with x's in them

Homework: Assigned (see the homework post)
 
 
Consumer Math: We went over last week's homework. Students decided on jobs for next week's school store and also decided on items to buy for sales next week. They each had an unexpected event happen to them. They focused the last part of their class time on setting up menu plans for their simulated family.
 
Homework: None other than completing any unfinished class work.
 
 
Problem of the Week #17: Problem of the Week #17 is posted today. Answers for last week's problems (POW #16) will be posted this Friday.
 
Thanks
Mrs. Narayanswamy

Week 21 of Classes: Monday Feb 10

Hello APEX Families,
 
Here's the summary of classes today:
 
Algebra 1: We reviewed different types of numbers and how irrational numbers can be estimated. Students learned about the Pythagorean Theorem. We started a new chapter on quadratic equations and solved simple quadratic equations with 2 solutions.
 
Homework: To be assigned on Wednesday
 
 
Precalculus/Trig: We discussed inverses of trig functions.
 
Homework: To be assigned on Wednesday
 
 
Pre-algebra: Students learned to set up algebraic equations for special types of distance problems. We solved equations with x's on both sides of the "equal to" sign and set up similar equations for word problems.

Homework: Assigned (see the homework post)
 
 
Consumer Math: We went over last week's homework. Students decided on jobs for next week's school store and also decided on items to buy for sales next week. They each had an unexpected event happen to them. They focused the last part of their class time on setting up menu plans for their simulated family.
 
Homework: None
 
 
Problem of the Week #17: Problem of the Week #17 is posted today. Answers for last week's problems (POW #16) will be posted this Friday.
 
Thanks
Mrs. Narayanswamy

Solution to Puzzles Of The Week #15

Hello APEX families,
 
Please find attached the solutions to last week's 2 puzzles.
 
The mathematician of the week, Owen Weekley, tried both and got them right! He and his dad used several algebraic relations to solve the 2nd puzzle! Great work Owen :-) Check out the solutions in the file to see how the 2nd puzzle can be solved backwards. Stop by next week to get the prize you have earned!
 
Happy weekend everyone! Stay warm :-)
 
Usha Narayanswamy