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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 12 of Classes: Thursday, Nov 14

Hello APEX families!
 
We have something exciting happening next week: our school store is opening!
 
All students, please note, that our very own Thursday school store, The Pack Got Your Snacks, is opening next week during middle school recess (and Elementary grades lunch) in the Commons area. Prices will range from 25 cents to $1.50. We will be selling a variety of candies, drinks such as Izze, variety of chips, and cookies. School store will be open once this month and once in December but starting January, it will be set up every alternate week. Bring some money to buy your favorite goodies and support our school store!! All profits from the store will be donated to a charity at the end of the school year :-)
 
Here's a summary of classes today:
 
Geometry: Students learned about 3 special auxiliary lines, namely altitudes, medians and perpendicular bisectors in a triangle. We proved the important Base Angles Theorem for isosceles triangles.
 
Homework: To be posted on Friday
 
 
Algebra 2: We continued our discussion of complex numbers. Students learned about the discriminant and how it can help us identify the type of solutions we can get when solving quadratic equations. Students learned to multiply and divide complex numbers. We started a new chapter on higher degree equations and solved some simple 3rd degree equations by factoring and setting each factor to zero.
 
Homework: To be posted on Friday
 
 
Pre-algebra: Student took the 9s multiplication facts quiz. We wrapped up the chapter on areas and volumes by discussing units for measuring liquid capacities such as gallons and quarts and units for volume in the metric system such as liters. We started a new chapter on algebra and talked about differences between algebra and arithmetic. Students also learned two important concepts in algebra - the process of undoing using inverse operations and the Golden Rule of Algebra.
 
Homework: Assigned (see the homework post)
 
 
Consumer Math: Next week is our opening day for school store! Students were assigned jobs, we discussed how the system will work and we decided on prices for each item to be sold. In addition, students learned about different kinds of expenses a family might have and we classified them as Fixed, Variable, Discretionary. 
 
Homework: None
 
Puzzle Of The Week: 11th Puzzle posted! Solutions are due next Thursday. Solution to last week's puzzle will be posted on Friday.
 
 
Thanks
Mrs. Narayanswamy

Solution to Puzzle Of The Week #9

Hey Problem Solvers,
 
The 9th puzzle was quite a tough morse code deciphering problem. Check the attached file to find the solution!
 
No student submitted a solution to the problem. But there are more puzzles to solve! Hope you are all trying this week's Hashiwokakeros (the Bridges puzzles).
 
Catch ya next week!
 
Mrs. N

Week 11 of Classes: Friday, Nov 8

Hello APEX families!
 
We are a week into November now - can you believe that?!! As the weeks are flying by, we are immersed in all kinds of math in our classroom. Here's a summary of what we did today:
 
Geometry: Students took a quiz on chapter 3 through 5. We revisited CPCTC and learned to use it to prove lines parallel or perpendicular.
 
Homework: Assigned (see the homework post)
 
 
Algebra 2: Students took a quiz on chapters 4 through 6. We reviewed imaginary numbers and how to combine them by adding, subtracting and multiplying them. We also learned o divide them today. In addition, we reviewed complex numbers and how they can be used to determine directions in a 2D rectangular plane.
 
Homework: Assigned (see the homework post)
 
 
Pre-algebra: Student took the 8s multiplication facts quiz. We continued our discussion of unit systems. Students learned to convert units in metric system to units in common system and vice versa. We discussed units for area in both systems and learned that we should divide or multiply by the conversion factor twice to go from one unit to another. 
 
Homework: Assigned (see the homework post)
 
 
Consumer Math: We made a short list of items to start selling in 2 weeks. Students created their store posters and we put most of them together on a poster board.
 
Please note that homework is assigned. Please check the class post.
 
Homework: Assigned (see the homework post)
 
 
Puzzle Of The Week: 10th Puzzle posted! Solutions are due next Friday. Solution to last week's puzzle will be posted today.
 
Thanks
Mrs. Narayanswamy

Week 11 of Classes: Thursday, Nov 7

Hello APEX families!
 
We are a week into November now - can you believe that?!! As the weeks are flying by, we are immersed in all kinds of math in our classroom. Here's a summary of what we did today:
 
Geometry: Students learned to use the concept of CPCTC (Corresponding Parts of Congruent Triangles are Congruent) to prove sides and angles of triangles are congruent or that line segments are angle or segment bisectors.
 
Homework: To be posted on Friday
 
 
Algebra 2: We wrapped up our unit on radical equations and started a new chapter on imaginary and complex numbers. Students got an introduction to the imaginary i and how to add, subtract and multiply imaginary numbers. More to come tomorrow!
 
Homework: To be posted on Friday
 
 
Pre-algebra: Student took the 8s multiplication facts quiz. We continued our discussion of unit systems. We discussed units for area in both systems and learned that we should divide or multiply by the conversion factor twice to go from one unit to another. We also discussed what volume meant and learned to convert units of volume of shapes by multiplying or dividing by the conversion factor three times.
 
Homework: Assigned (see the homework post)
 
 
Consumer Math: We made a short list of items to start selling in 2 weeks. Students completed their store posters and we put most of them together on a poster board. We also reviewed the homework problems to make sure students are understanding the math behind computing taxes, discounts and tips.
Homework: None
 
 
Puzzle Of The Week: 10th Puzzle posted! Solutions are due next Thursday. Solution to last week's puzzle will be posted on Friday.
 
Thanks
Mrs. Narayanswamy

Solution to Puzzle Of The Week #8

Hello Math students,
 
The solution to Puzzle# 8 is attached here.
 
Two students got the solution right: Owen Weekley and Quinn Kimmett. Congratulations!
 
The winner of this week's raffle is Quinn Kimmett!! Quinn, come by to pick a prize next week and every one who tried, please stop by for a treat :-) 
 
Have a wonderful weekend!
Mrs. N

Week 10 of Classes: Friday, Nov 1

Hello APEX families,
 
 Here's a summary of classes today:
 
Geometry: Students were introduced to the last of shortcuts for proving congruence of triangles, namely the SSS postulate. We also learned to recognize overlapping angles or sides to prove congruence. As always, students worked on several practice problems, including proofs.
 
Homework: Assigned (see the homework post)
 
 
Algebra 2: We continued our discussion of radical functions and solved several different types.
 
Homework: Assigned (see the homework post)
 
 
Pre-algebra: Student took the 7s multiplication facts quiz. We continued our discussion of unit systems by reviewing the US customary system we had learned last week and talking about how a unit conversion table can be used to reduce confusion when converting from one unit to another. We also discussed the metric system and found out that it is way easier to convert from one unit to another in this system by merely moving the decimal point one way or the other.Finally, we learned to convert between units in one system and units in another.
 
Homework: Assigned (see the homework post)
 
Consumer Math: Students completed their school store survey and we put all our data together on our school store spreadsheet. Students worked on an activity involving grocery coupons and creating a meal plan for their family within a $30 budget. They will wrap it up next week.
 
Homework: None this week
 
Puzzle Of The Week: 9th Puzzle posted! Solutions are due next Friday. Solution to last week's puzzle will be posted today.
 
Thanks
Mrs. Narayanswamy

Week 10 of Classes: Thursday, Oct 31

Hello APEX families,
 
 Here's a summary of classes today:
 
Geometry: We discussed 3 more shortcuts to prove triangles are congruent, namely ASA, AAS, and HL. We solved several problems and did a few proofs related to the concepts we have learned so far.
 
Homework: To be assigned on Friday
 
Algebra 2: We wrapped up our chapter on quadratic equations by deriving and then using the quadratic formula. We started a new chapter on solving radical equations.
 
Homework: To be assigned on Friday
 
Pre-algebra: Student took the 7s multiplication facts quiz. We continued our discussion of unit systems by reviewing the US customary system we had learned last week. We also discussed the metric system and found out that it is way easier to convert from one unit to another in this system by merely moving the decimal point one way or the other. Finally, we learned to convert between units in one system and units in another.
 
Homework: Assigned (see the homework post)
 
Consumer Math: Most students completed their activity on grocery coupons and creating a meal plan for their family within a $30 budget. They started creating posters for their school store.
 
Homework: Assigned (see the homework post)
 
Puzzle Of The Week: 9th Puzzle posted! Solutions are due next Thursday. Solution to last week's puzzle will be posted on Friday.
 
Thanks
Mrs. Narayanswamy

Solution to Puzzle Of The Week #7

Hello APEX friends,
 
Here's the solution to last week's puzzle, Puzzle# 7! The solution to the problem is 3!!
 
Check out the file to see details of how the problem was solved
 
A few students attempted the puzzle and Owen Weekley got it right! Good job everyone for trying. Stop by to get a treat.  Congratulations, Owen, for getting it right!! Stop by to pick a prize.

Week 9 of Classes: Friday, Oct 25

Dear Apex Families,
 
Here's the summary of classes and homework assigned for this week:
 
Geometry: Students learned what one-on-one correspondence means when it comes to two triangles being congruent. We learned the first of several shortcuts, namely Side-Angle-Side Postulate (aka SAS) to prove congruence of triangles. Students took a few minutes to work on some problems independently. 
 
Homework: Assigned (see the homework post)
 
 
Algebra 2: We continued our discussion quadratic equations. Students learned to set up equations for border problems. They also learned the "ac" technique and completing the square technique to solve quadratic equations.
 
Homework: Assigned (see the homework post)
 
 
Pre-algebra: Student took the 6s multiplication facts quiz. We wrapped up the unit on percents by considering techniques to determine the percent when a ratio/fraction is given. We tied this concept to how grades are determined by teachers in terms of percents. We started a new unit on measurements. We discussed different units of length in the US customary system such as inches, feet, yards and miles and how to convert from one to the other. The basic technique of dimensional analysis was covered.
 
Homework: Assigned (see the homework post)
 
 
Consumer Math: Students came in during recess to conduct survey for the elementary and high school students. They will conduct the survey for middle school students next week. We put this data into our Google sheet during the class. Students voted on a good name for their school store and decided on a fun one - I'm Happy When I see Yo Money!  
 
Homework: None
 
 
Puzzle Of The Week: 8th Puzzle posted! Solutions are due next Friday. Solution to last week's puzzle will be posted today.
 
Thanks!
Mrs. Narayanswamy