[SOLVED] Respond to 2 discussion post (one paragraph each)

Can you help me understand this Mathematics question?

Struggling to find relevant content? Order a custom essay on
[SOLVED] Respond to 2 discussion post (one paragraph each)
Let our experts save you the hassle
Order Now

Discussion Question

1. Explicitly describe (in several sentences) how you visualize the change in the growth pattern that is displayed below. Try to explain it as you would expect your students to explain it to you and their classmates.
2. Use this description to generate an algebraic expression/equation that will give the number of squares, n, at any stage, s.


Peer Response (2 points): Demonstrate your understanding of their strategy and expression/equation to find the number of squares at any other size not already used by one of your peers. Additionally, respond to their description and expression/equation.

Peer Response 1

As discussed in last week’s article on patterns, first I would ask the students to give their view about the patterns. I know some of the answers that would be given would be “There are 3 shapes of different sizes”. Another anticipated answer would be the squares are increasing by 3. Another anticipated answer may be 1 square is added on the top line, 1 square is added on the line going downward, and 1 square is added on the line at the bottom. I would explain to the students that they are all correct based on their explanations of what they observed from the changes in each pattern. For better understanding of the subject matter, I would introduce them to a simpler way to have an accurate result at all times. First, I would ask them to spot the differences between figure 1 and figure 2. Then, I would have them use a red crayon to color the squares that are different between figure 1 and 2. Then, I would ask them to shade the squares that are different between figure 2 and figure 3. I would place a model on the board so that they could see the shading. Finally, I would let shade 3 squares in figure 1 in order for them to see the initial value. After shading 3 boxes from figure 1 our initial value would be 2. We would use that answer to generate our equation.

The algebraic expression that I would use for the increase in size is the following: n=3s+2. In order to ascertain the answer and determine the next pattern, I would substitute the value of 4 for s in the equation. The answer for n would be 14 which shows the increase is 3 from the subsequent pattern. Finally, I would also use the value of 5 for s and the answer for n would be 17. This proves that my equation is correct because I constantly have an increase of 3.

Peer Response 2

The first thing I observed in this growth pattern is that in each successive step the total number of squares increases at a rate of 3 squares per step. To help visualize the change and better understand the growth pattern, I decided to work backward and create what the pattern would look like at Step 0. I visualized Step 0 as two vertical squares, one on top of the other. Therefore the constant in all my steps is + 2.

From this image, I decided how the three squares being added in each step were being placed, one off to the left horizontally, one block being placed in between squares vertically, and a final square horizontally to the bottom right. Given this pattern, no matter what step number we are at we can use a single equation to determine the total number of squares in the pattern, where three additional squares per step are added to a constant of two squares.

There are certainly other ways to interpret this relationship, and equivalent expressions that could be used; however, the equation that supports my reasoning is:

n = 3s + 2

Calculate the price
Make an order in advance and get the best price
Pages (550 words)
$0.00
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
Sign up, place your order, and leave the rest to our professional paper writers in less than 2 minutes.
step 1
Upload assignment instructions
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
s
Get personalized services with GPA Fix
One writer for all your papers
You can select one writer for all your papers. This option enhances the consistency in the quality of your assignments. Select your preferred writer from the list of writers who have handledf your previous assignments
Same paper from different writers
Are you ordering the same assignment for a friend? You can get the same paper from different writers. The goal is to produce 100% unique and original papers
Copy of sources used
Our homework writers will provide you with copies of sources used on your request. Just add the option when plaing your order
What our partners say about us
We appreciate every review and are always looking for ways to grow. See what other students think about our do my paper service.
Nursing
I appreciate all the hard work. Thank you!
Customer 452525, August 13th, 2021
public speaking
The work was excelent and very professional.
Customer 452653, November 1st, 2021
Nursing
Great work. thank you again!
Customer 452707, August 7th, 2022
Other
AWESOME
Customer 452813, June 25th, 2022
Medicine
Great job! Thank you.
Customer 452707, May 29th, 2022
Social Work and Human Services
Excellent Work!
Customer 452587, November 30th, 2021
Other
GREAT
Customer 452813, September 20th, 2022
Social Work and Human Services
Perfect. Thank you.
Customer 452469, July 10th, 2021
Human Resources Management (HRM)
Thank you
Customer 452531, May 19th, 2021
DISCUSSION D SCIENCE 210
GREAT
Customer 452813, June 28th, 2022
Social Work and Human Services
Excellent work
Customer 452587, September 4th, 2021
Nursing
Everything was done perfectly. Thank you.
Customer 452707, June 15th, 2022

[SOLVED] Respond to 2 discussion post (one paragraph each)

Can you help me understand this Mathematics question?

Struggling to find relevant content? Order a custom essay on
[SOLVED] Respond to 2 discussion post (one paragraph each)
Let our experts save you the hassle
Order Now

Discussion Question

1. Explicitly describe (in several sentences) how you visualize the change in the growth pattern that is displayed below. Try to explain it as you would expect your students to explain it to you and their classmates.
2. Use this description to generate an algebraic expression/equation that will give the number of squares, n, at any stage, s.


Peer Response (2 points): Demonstrate your understanding of their strategy and expression/equation to find the number of squares at any other size not already used by one of your peers. Additionally, respond to their description and expression/equation.

Peer Response 1

As discussed in last week’s article on patterns, first I would ask the students to give their view about the patterns. I know some of the answers that would be given would be “There are 3 shapes of different sizes”. Another anticipated answer would be the squares are increasing by 3. Another anticipated answer may be 1 square is added on the top line, 1 square is added on the line going downward, and 1 square is added on the line at the bottom. I would explain to the students that they are all correct based on their explanations of what they observed from the changes in each pattern. For better understanding of the subject matter, I would introduce them to a simpler way to have an accurate result at all times. First, I would ask them to spot the differences between figure 1 and figure 2. Then, I would have them use a red crayon to color the squares that are different between figure 1 and 2. Then, I would ask them to shade the squares that are different between figure 2 and figure 3. I would place a model on the board so that they could see the shading. Finally, I would let shade 3 squares in figure 1 in order for them to see the initial value. After shading 3 boxes from figure 1 our initial value would be 2. We would use that answer to generate our equation.

The algebraic expression that I would use for the increase in size is the following: n=3s+2. In order to ascertain the answer and determine the next pattern, I would substitute the value of 4 for s in the equation. The answer for n would be 14 which shows the increase is 3 from the subsequent pattern. Finally, I would also use the value of 5 for s and the answer for n would be 17. This proves that my equation is correct because I constantly have an increase of 3.

Peer Response 2

The first thing I observed in this growth pattern is that in each successive step the total number of squares increases at a rate of 3 squares per step. To help visualize the change and better understand the growth pattern, I decided to work backward and create what the pattern would look like at Step 0. I visualized Step 0 as two vertical squares, one on top of the other. Therefore the constant in all my steps is + 2.

From this image, I decided how the three squares being added in each step were being placed, one off to the left horizontally, one block being placed in between squares vertically, and a final square horizontally to the bottom right. Given this pattern, no matter what step number we are at we can use a single equation to determine the total number of squares in the pattern, where three additional squares per step are added to a constant of two squares.

There are certainly other ways to interpret this relationship, and equivalent expressions that could be used; however, the equation that supports my reasoning is:

n = 3s + 2

Calculate the price
Make an order in advance and get the best price
Pages (550 words)
$0.00
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
Sign up, place your order, and leave the rest to our professional paper writers in less than 2 minutes.
step 1
Upload assignment instructions
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
s
Get personalized services with GPA Fix
One writer for all your papers
You can select one writer for all your papers. This option enhances the consistency in the quality of your assignments. Select your preferred writer from the list of writers who have handledf your previous assignments
Same paper from different writers
Are you ordering the same assignment for a friend? You can get the same paper from different writers. The goal is to produce 100% unique and original papers
Copy of sources used
Our homework writers will provide you with copies of sources used on your request. Just add the option when plaing your order
What our partners say about us
We appreciate every review and are always looking for ways to grow. See what other students think about our do my paper service.
Social Work and Human Services
Excellent Work!
Customer 452587, September 16th, 2021
Nursing
Everything was done perfectly. Thank you.
Customer 452707, June 15th, 2022
Literature
Thank you , this is perfect !
Customer 452795, May 15th, 2022
Other
GREAT
Customer 452813, June 25th, 2022
Philosophy
excellent job i will be coming back for any future papers if I have too.
Customer 452611, October 11th, 2021
Other
great
Customer 452813, June 30th, 2022
Nursing
Looks good. Thank you!!
Customer 452525, April 27th, 2022
Education
Thank you so much for all the help, I really appreciate it!
Customer 452631, November 3rd, 2021
Criminal Justice
Impressive! Will be using the service again.
Customer 452485, December 5th, 2021
Social Work and Human Services
Excellent Work!!!!
Customer 452587, November 29th, 2021
Other
great
Customer 452813, June 25th, 2022
Psychology
Thanks so very much. The paper is well-researched and adequately referenced. You have been of great help during the pandemic!
Customer 452467, January 31st, 2021
OUR GIFT TO YOU
15% OFF your first order
Use a coupon FIRST15 and enjoy expert help with any task at the most affordable price.
Claim my 15% OFF Order in Chat
error: Content is protected !!

Save More. Score Better. Use coupon code SPECIAL for a 15%discount