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Narayanswamy - Geometry

Instructor
Mrs. Usha Narayanswamy
Department
Mathematics
Terms
2019-2020 School Year


Assignment Calendar

Course Description

 

Class Title:

Geometry

Code:

HMA140

Text:

Teaching Textbooks Geometry

Rating:

5

Prerequisite:

Completion of Algebra 1 with a grade of C or better or placement test

Grade:

9-12

Fees:

None

Max:

15

Can be repeated? No

Description: Students will complete all of Geometry through home assignments four days per week and one class period per week. Students will study concepts including inductive and deductive reasoning, themes of congruence and similarity, and various theorems pertaining to triangles, quadrilaterals, general polygons and circles. Elements of solid geometry and coordinate geometry will be covered. 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.

Posts

Week 6 of Classes: Friday, Oct 4

Dear APEX students and parents,
 
Hard to believe it's Friday again! How these weeks are flying by - days are slowly getting shorter but these fall days are a reminder to enjoy the warmth and beauty of this season! 
 
Well.... here's a summary of today's classes and the homework assigned for the week:
 
We had a fire drill today. Everything went smoothly! 
 
Geometry: Students took an in-class quiz. We then went back to our lessons and talked about parallel lines, the transversal, and bunch of new angles!
 
Homework assigned (see the homework post)
 
 
Algebra 2: Students took an in-class quiz. We then continued our unit on powers. Students learned to simplify fractions by using reverse distribution and advanced reverse distribution to factor polynomial expressions before canceling them.
 
Homework assigned (see the homework post)
 
 
Pre-algebra: Students took the 3s multiplication facts quiz. We continued our discussion of decimal numbers. Students learned to convert fractions such as 1/2, 1/4, 1/8 into 10ths, 100ths, and 1000ths so they may fit in the place value system. Students also learned to add, subtract and multiply decimals.
 
Homework assigned (see the homework post)
 
 
Consumer Math: Students worked on the shopping spree activity. We will wrap up the activity with a final discussion next week.
 
Homework: None
 
 
Puzzle of the week #5: The 5th puzzle of the week is posted. The answer to the fourth puzzle of the week will be posted today.
 
Any questions or concerns? Please email me or see me in person.
 
Thanks
Mrs. Narayanswamy

Week 6 of Classes: Thursday, Oct 3

Dear APEX students and parents,
 
Happy Fall! Hope you are enjoying these beautiful warm days with just a touch of coolness (and some rain!) to remind us that summer is ending!
 
Here's a summary of today's classes and the homework assigned for the week:
 
We had a fire drill today. Everything went smoothly! 
 
Geometry: We went over a few problems from last week's homework. We learned a few different things about perpendicular lines such as the definition of perpendicular bisectors, perpendicular line segments that measure the distance between a line and a point not on the line, etc.
 
Reminder: An in-class quiz tomorrow!
Homework to be assigned on Friday
 
 
Algebra 2: Students learned to add, subtract, multiply and divide powers. We discussed short cuts that help us multiply and divide powers quickly. We also talked about negative and zero exponent.
 
Reminder: An in-class quiz tomorrow!
Homework to be assigned on Friday
 
 
Pre-algebra: Students took the 3s multiplication facts quiz. We continued our discussion of decimal numbers. Students learned to add, subtract, multiply and divide decimals. They also learned to convert a remainder in a division problem to a decimal value.
 
Homework assigned (see the homework post)
 
 
Consumer Math: Students worked on the shopping spree activity. We will wrap up the activity with a final discussion next week.
 
Homework: None
 
 
Puzzle of the week #5: The 5th puzzle of the week is posted. The answer to the fourth puzzle of the week will be posted on Friday.
 
Any questions or concerns? Please email me or see me in person.
 
Thanks
Mrs. Narayanswamy

Solution to Puzzle of the week #3

Wow! That was one challenging problem!!
 
Kudos to all the students (and family members!) who tried this one!!
 
Check out the solution. The one student who got the answer right was Jerry Sittler. Congratulations Jerry! Please stop by next week to get your prize.
 
I decided we all need a little break from challenging puzzles. So have fun trying the KenKens. The instructions are given with the puzzles. You need to get both KenKens to enter for the raffle!

Have a great weekend!
Mrs. N

Week 5 of Classes: Friday, Sept 27

Dear APEX students and parents,
 
Here's a summary of today's classes and the homework assigned for the week:
 
Geometry: We continued talking about pairs of angles and tried algebraic problems involving them. Students learned about perpendicular lines as well.
 
Note: An in-class quiz next Friday. See the homework for details.
Homework assigned (see the homework post)
 
 
Algebra 2: We solved more complex rational equations with multiple fractions. We started a new chapter on powers and reviewed the basics of powers.
 
Note: An in-class quiz next Friday. See the homework for details.
Homework assigned (see the homework post)
 
 
Pre-algebra: Students took the 10s multiplication facts quiz. We reviewed mixed numbers and how to convert improper fractions to mixed numbers and vice versa. Students learned to multiply and divide fractions as well as fractions and whole numbers. We started a new chapter on decimals but didn't get far! Please read the first two lesson in chapter 3 so we may review the lessons together next week and cover more of the content.
Homework assigned (see the homework post)
 
Consumer Math: We reviewed percents and learned to use them in context of discounts and sales. Students worked in teams to use various discounts while shopping online on Costco.com to buy exactly 8 items while keeping within a $1,000 budget. They will complete this activity next week.
Homework: assigned (see the homework post)
 
Puzzle of the week #4: The 4th puzzle of the week is posted. The answer to the third puzzle of the week will also be posted today. If you tried this problem, kudos to you!! It was challenging!! If your name is picked in the raffle for a prize, please make sure you can explain how you solved the puzzle of the week to me :-)
 
Parents, if you have any questions or concerns, please do not hesitate to send me an email. Encourage your students who are taking a high school math class or studying for a standardized test such as SAT or ACT to stop by during math lab for any help they may need.
 
Thanks
Mrs. Narayanswamy

Week 5 of Classes: Thursday, Sept 26

Dear APEX students and parents,
 
Here's a summary of today's classes and the homework assigned for the week:
 
Geometry: We reviewed complementary and supplementary angles. In addition, students learned about adjacent angles, linear pairs and vertical angles.
Homework will be posted on Friday
 
Algebra 2: We solved a few investment word problems algebraically. Then we continued our unit on rational expressions by learning to add them. We reviewed lowest common denominators (LCD) and applied the concept to addition, subtraction, and simplification of algebraic fractions. Finally, we solved a few simple rational equations with x's in the denominator.
Homework will be posted on Friday
 
Pre-algebra: Students took the 10s multiplication facts quiz. They learned to multiply and divide fractions as well as fractions and whole numbers. We started a new chapter on decimals and students learned to represent certain fractions as tenths, hundredths and thousandths in the place value system.
Homework assigned (see the homework post)
 
Consumer Math: We reviewed percents and learned to use them in context of discounts and sales. Students worked in teams to use various discounts while shopping online on Costco.com to buy exactly 8 items while keeping within a $1,000 budget. They will complete this activity next week.
Homework: assigned (see the homework post)
 
Puzzle of the week #4: The 4th puzzle of the week is posted. The answer to the third puzzle of the week will be shared online on Friday. 
 
Parents, if you have any questions or concerns, please do not hesitate to send me an email. Encourage your students who are taking a high school math class or studying for a standardized test such as SAT or ACT to stop by during math lab for any help they may need.
 
Thanks
Mrs. Narayanswamy

Soluton to 2nd Puzzle of the Week

Solution to last week's puzzle is posted. 
 
It's wonderful to see students trying these challenging puzzles. Several students attempted the 2nd puzzle and three students got the solution right. Great job everybody! The winner of this week's raffle for the correct solution is Andrew Cunningham! Congrats Andrew!
 
If parents or siblings are working with students on solving these puzzles, that is awesome! To make sure that the students are understanding how these problems are getting solved, I want the students submitting the solutions to these puzzles to be able to explain the process to me. Show your work and when you stop by to pick a treat, tell me how you solved it!
 
Enjoy this week's puzzle! See if you can find my ID!!
 
Mrs. N
 
 

Week 4 of Classes: Friday Sept 20

Dear APEX students (and parents),
 
It's hard to believe that we have already been in session for 4 weeks! Hope you are enjoying your classes at APEX. I am, for sure, enjoying having you in my classes! If you have any questions or concerns with a class you are taking with me, please do not hesitate to talk with me. I am here to help you learn, succeed and enjoy all your classes!
 
Here's a summary of today's classes and the homework assigned for the week:
 
Geometry: Students were introduced to complementary angles. We also proved our first two theorems related to these angles.
 
Homework - assigned (see the homework post)
 
 
Algebra 2: We continued our discussion of rational expressions. Students learned to use reverse distribution to factor and simplify fractions containing addition and subtraction of terms. We also tried several multiplication and division problems involving such fractions.
Homework - assigned (see the homework post). Kindly also complete the two files containing word problems about investments and distances that we worked on on Thursday. They are both already posted on the website.
 
 
Pre-algebra: Student took the 5s multiplication facts quiz. We reviewed what we had learned last week about prime factoring and canceling and then continued discussing fractions. We reviewed prime numbers and prime factoring. We also learned to add and subtract fractions, learned to find the lowest common denominator, and changed a few improper fractions to mixed numbers.
Homework assigned (see the homework post)
 
Consumer Math: We wrapped up our discussion of Unit Prices of commodities by calculating unit prices of comparable objects. Students learned the basics of percents and how to convert them to fractions and decimals. We used these concepts to start to work on a few problems involving discount rates and sales. We will complete these problems next week.
Homework: None
 
 
Puzzle of the week #3: The 3rd puzzle of the week is posted. The answer to the second puzzle of the week will be posted today. 
 
Have a great rest of your week. See you next week!
 
Thanks
Mrs. Narayanswamy

Week 4 of Classes - Thursday Sept 19

Dear APEX students (and parents),
 
It's hard to believe that we have already been in session for 4 weeks! Hope you are enjoying your classes at APEX. I am, for sure, enjoying having you in my classes! If you have any questions or concerns with a class you are taking with me, please do not hesitate to talk with me. I am here to help you learn, succeed and enjoy all your classes!
 
Here's a summary of today's classes and the homework assigned for the week:
 
Geometry: We worked on a few angle bisector problems to warm up. We started our very first proof. Students learned some basics about formal proofs. We will continue our discussions tomorrow.
Homework - will be posted tomorrow
 
 
Algebra 2: We did a few word problems related to investments and distances. We started a new unit on rational expressions and equations. Students learned to reduce simple rational expressions using the same techniques that are used for regular fractions. We will elaborate and go more in depth with these concepts tomorrow.
Homework - I am loading two word problem files that we were working on in class today. If possible, please write the algebraic equations for the remaining problems and bring them to class tomorrow. Rest of the homework will be posted tomorrow.
 
 
Pre-algebra: Student took the 5s multiplication facts quiz. We reviewed what we had learned last week about prime factoring and canceling and then continued discussing fractions. We reviewed prime numbers and prime factoring. We also learned to add and subtract fractions, learned to find the lowest common denominator, and change improper fractions to mixed numbers and vice versa.
Homework assigned (see the homework post)
 
Consumer Math: We wrapped up our discussion of Unit Prices of commodities by calculating unit prices of comparable objects. Students learned the basics of percents and how to convert them to fractions and decimals. We used these concepts to start to work on a few problems involving discount rates and sales. We will complete these problems next week.
Homework: None
 
Puzzle of the week #3: The 3rd puzzle of the week is posted. The answer to the second puzzle of the week will be shared online end of this week. 
 
Have a great rest of your week. See you next week!
 
Thanks
Mrs. Narayanswamy

Puzzle of the Week # 1 Winner!

Hello Folks,
 
Several students attempted the 1st Puzzle of the Week! Four of them found the right solution to the main question. Of the four students, Mr. Barry Young pulled the name of Owen Weekley as the winner of this POW!!
 
Kudos to all students who attempted POW#1!! And Congratulations to all who got the main problem right!! You are all winner for trying this challenging problem. Students who participated, please stop by my desk next week during your lunch break to get a treat and Owen, come by to pick a prize!!
 
Hope to see many more students participating in POW#2 :-)
 
Happy Weekend!
Mrs. Narayanswamy