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Narayanswamy - Geometry

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

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: Friday, Feb 21

Dear APEX Families,
 
Here's the summary of classes today:
 
Geometry: We did several problems related to similar triangles including proportions and proofs. We reviewed the Pythagorean Theorem and proved it. We also discussed about Pythagorean triples and how irrational lengths can be simplified. 
 
Homework: Assigned (see the homework post)
 
 
Algebra 2: We focussed on different algebraic methods to solve systems of 2 linear equations with two variables. The techniques included addition and subtraction methods to eliminate variables and substitution method to replace one variable by another.
 
Homework: Assigned (see the homework post)
 
 
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 briefly talked about scientific notation.

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 :-)  They each had an unexpected event happen to them. They focused the last part of their class time on creating their grocery list for 2 weeks worth of meals.
 
Homework: None other than completing any unfinished classwork.
 
 
Problem of the Week #18: Problem of the Week #18 is posted today. Answers for last week's problems (POW #17) will be posted by tonight.
 
Thanks
Mrs. Narayanswamy

Week 22 of Classes: Thursday, Feb 20

Dear APEX Families,
 
Here's the summary of classes today:
 
Geometry: Students learned that medians, altitudes, and perimeters of two similar triangles are also similar. We started a new unit on similarity of right triangles.
 
Homework: To be assigned on Friday
 
 
Algebra 2: We wrapped up the unit on multi-variable, higher exponent expressions and equations by considering how to add and subtract multi-variable rational expressions with exponents and divide using polynomial division. We briefly talked about the next unit on systems of equations. More on that tomorrow!
 
Homework: To be assigned on Friday
 
 
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: 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 :-)  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 classwork.
 
 
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

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: Friday, Feb 14

Dear APEX Families,
 
Please note that next week the school store will be open.
 
Here's the summary of classes today:
 
Geometry: We discussed two more shortcuts for proving similarity of triangles, namely SAS and SSS Similarities. We did a few problems related to what we had learned.
 
Homework: Assigned (see the homework post)
 
 
Algebra 2: Students learned another standard formula for factoring, namely, the difference of two square numbers. We used the various factoring techniques to multiply and divide rational expressions with different variables.
 
Homework: To be assigned on Friday
 
 
Pre-algebra: Students took a multiplication facts quiz. 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 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: Complete two weeks of menu plans that you were working on in class.
 
 
Problem of the Week #17: Problem of the Week #17 is posted today. Answers for last week's problems (POW #16) will be posted by tonight.
 
Thanks
Mrs. Narayanswamy

Week 21 of Classes: Thursday, Feb 13

Dear APEX Families,
 
Please note that next week the school store will be open.
 
Here's the summary of classes today:
 
Geometry: We continued our unit on similar triangles and learned the first shortcut, namely AA Similarity, to prove triangles similar
 
Homework: To be assigned on Friday
 
 
Algebra 2: We continued our unit on multi-variable, higher exponent expressions and equations. Students learned to distribute and factor such expressions.
 
Homework: To be assigned on Friday
 
 
Pre-algebra: Students took a multiplication facts quiz. 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 went over last week's homework. Students were assigned jobs for next week's school store and we decided on a few items to buy for next week. Students then did the calculations for used cars and figured out the down payment and monthly payment for each. Finally, each student had an unexpected event happen to him/her. 
 
Homework: None other than completing any unfinished classwork.
 
 
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
 
 

Week 20 of Classes: Friday, Feb 7

Dear APEX Families,
 
Here's the summary of classes today:
 
Geometry: We discussed the two main properties of all similar polygons - equal angles and proportional sides. We also talked about where and when we see similar shapes in our day to day lives.
 
Homework: Assigned (see the homework post)
 
 
Algebra 2: We compared graphs of single variable, two variable and 3 variable equations. In addition, students learned to simplify mathematical expressions with multiple variables and powers that are getting added, subtracted, multiplied or divided.
 
Homework: Assigned (see the homework post)
 
 
Pre-algebra: We reviewed equations with multiple x terms.  Students also learned to set up equations for word problems related to rate of work and distances. In addition, they were introduced to equations with x's on both sides of the "equal to" sign. 
 
Homework: Assigned (see the homework post)
 
 
Consumer Math: Students did a great job, as always, selling different items at the school store. During class, we did the accounting for the store and then went over the homework related to finding down payments and monthly payments for new cars. Students noted the different used cars and their prices and we did a few calculations together to find the down payments and monthly payments for some of them
 
Homework: Assigned (see the homework post)
 
 
Problem of the Week #16: Problem of the Week #16 is posted today. Answers for last week's problems (POW #15) will be posted tonight.
 
Thanks
Mrs. Narayanswamy

Week 20 of Classes: Thursday, Feb 6

Dear APEX Families,
 
Here's the summary of classes today:
 
Geometry: We started a new chapter on similar triangles and discussed two important underlying concepts, namely, ratios and proportions.
 
Homework: To be assigned on Friday
 
 
Algebra 2: Students learned how coordinate geometry uses the distance formula to determine the equations of shapes such as circles. We started a new chapter on equations with three or more variables. We considered a few examples and students learned to solve for one variable in terms of the others.
 
Homework: To be assigned on Friday
 
 
Pre-algebra: We reviewed equations with multiple x terms.  Students also learned to set up equations for word problems related to rate of work and distances. In addition, they were introduced to equations with x's on both sides of the "equal to" sign. 
 
Homework: Assigned (see the homework post)
 
 
Consumer Math: Students did a great job, as always, selling different items at the school store. During class, we did the accounting for the store and then students learned to do the calculations for the new car payments. Students also noted the different used cars and their prices. We will do the calculations for the used cars next week.
 
Homework: Assigned (see the homework post)
 
 
Problem of the Week #16: Problem of the Week #16 is posted today. Answers for last week's problems (POW #15) will be posted this Friday.
Thanks
Mrs. Narayanswamy