Math Reflection Post

Are You the Average 7th Grader at SAS?

Math Blog Post (Handphone Plans)

y= total cost
x= # of text messages

a) Determine the cost of each plan if you send 500 text messages in one month. Show your working out.

PLAN A
y=29.95+0.1x

y= 29.95+0.1(500)

y= 29.95+50

y=79.95

Plan A's cost would be $79.95 if we send 500 text messages per month.

PLAN B
y= 90.20

Since Plan B gives unlimited text messages, the cost would be $90.20 per month even for 500 text messages.

PLAN C
y=49.95+ 0.5x
y= 49.95+0.05(500)
y= 49.95+ 25
y= 74.95

Plan C's total cost would be $74.95 if we send 500 text messages per month.


b) Your boss asks you to visually display three plans and compare them so you can point out the advantages of each plan to your customers

Plan A would be beneficial and practical for those who know they rarely text message. That way the basic fee plus only a few text messages could turn out a cheaper deal in a certain situation. (Plan A is the red line)


For Plan B, an advantage is that it allows unlimited text messages, so for those who text a lot, Plan B would be a good deal. (Plan B is the blue line)

For Plan C, an advantage is that the basic fee of $49.95 is just an additional $20 (less than half the amount), and the charge of cents per text message is half the amount. On the graph, plan C is the green line, and we can see that we can text more messages than Plan A for the same price.

c) A customer wants to know how to decide which plan would save her the most money. Determine which plan has the lowest cost given the number of text messages a customer is likely to send. 

PLAN A
y=29.95+0.10x

y= 29.95+0.10(2000)

y= 29.95+200

y= 229.95

Since the average number of text messages sent by adults in their early twenties are 2,000, the cost for sending 2,000 text messages is $229.95.

PLAN B
y= 90.20

The cost for 2,000 text messages still remains $90.20 because Plan B allows unlimited text messages.


PLAN C
y=49.95+ 0.05x
y= 49.95+0.05(2000)
y= 49.95+ 100
y= 149.95

The cost for sending 2,000 text messages is $149.95 with Plan C.

Plan B has the lowest cost, charging only a basic fee of $90.20 and no additional charge per text message.

Mathematical Reflection 1

1. What are the common properties of all polygons?

This is a comparison showing what a polygon should and shouldn't look like

All polygons should first of all be closed, and have at least 3 sides. It should have no sides intersecting and crossing, and the sides have to be straight. REGULAR polygons would have at least 3 equal length sides with all equal angles.


2. What does the measure in degrees tell you about an angle? What are some common benchmark angles?

The measure in degrees of an angle tell me if the angle is either acute (below 90 degrees), right (exactly 90 degrees), obtuse (above 90 degrees), or reflex (above 180 degrees). Some common benchmark angles are 30 (1/12 of 360), 45 (1/8 of 360), 90 (1/4 of 360), and 180 degrees (1/2 of 360). These are the fundamental angles that will cover a lot of possible angles, and help us reach as close as possible to the angle we want to locate.

3. What strategies can be used to estimate angle measures? To deduce angle measures from given information? To find accurate measurement with tools?

Sometimes the benchmarks told above help us land exactly on the angle. It depends on what the angle is. If it is a multiple of 30, 45, 90 or 180, then we straight away know that we should use the benchmark which the angle is a multiple of. That would give the exact location of the angle. If the angle we are looking for isn't a multiple of any of the benchmark angles, then we would figure out which benchmark it is closest to. Usually the smaller benchmark angles like 30 degrees make finding the angle easier because the range the angle is between would be less than 90 degrees or 180 degrees, for example. To deduce the angle from the given information, we can apply our strategy of trying to find the benchmark closest to the angle we want to locate. Then, seeing how much farther the angle is from the benchmark range, we can make a logical conclusion of where the angle is located. There are also many tools that give the accurate measurement. For example, if you want to check your logical conclusion, you can use a protractor. Protractors will give the accurate measurement, and also help you understand how far apart your other strategies were from the real measurement. Angle rulers also help draw out the accurate angle.

Comparison of the Typical Time Spent on Homework

       

C side B Block has an interquartile range of 37.5. This box plot is similar with the other box plot because both the box plots have an outlier of 120. Some differences were the entry information was different for example the mean, median, mode, and interquartile range. For this set of data the outliers were: 180, 135, 135, 120. This class spends shorter because the outliers skew the data, and without counting the outliers, the range is 60, which is less than the other box plot.

                        

B side B block has an interquartile range of 45. This box plot is similar with the other box plot because, again, the outlier is the same, 120. It is different because everything is different from the other box plot. The outliers were:120, 120. This class spends longer time because not counting the outliers, the range is 65, which is greater than the other box plot.

Math Blog Post Reflection

What is the height of a typical 6th grader?

The height of a typical 6th grader is 60.9 inches. When I look at the spreadsheet, I can see a lot of entries between 60-62, so it makes sense to think about 60.9 inches. The height of 6th graders have a lot of variability because the range of the data is 20, concluding that the difference of the tallest person to the shortest person is a total of 20 inches (one foot and eight inches). My height is 62.5 inches, which is 1.6 inches above the average. The interquartile range of the data set is 4. Outliers were there, which affect the range, and the range was 20 inches. 20 inches is quite big, showing that there was a lot of variability, including the outliers.

Math Project Reflection

What did you already know? 

I already knew that interest was included in investments.

What did you learn?

I learned a lot! I didn't know how to work with spreadsheets, and I didn't really understand much about investing and interests; how it works and what it means.

How might this affect what you do in the future?

In the future, when I make any presentations, or I am given an assignment to work with spreadsheets, I will know all the elements including graphs, tables, pie charts, and format.

What was your favorite part about about the project? Least favorite part?

My favorite part was getting straight to creating my presentation, and creating pie charts and graphs.
My least favorite part was probably completing the worksheet, I guess I really just wanted to start my presentation!



here's the link to the google presentation:

https://docs.google.com/a/sas.edu.sg/presentation/d/1bFHDPZdfn09WjkVOG9h19eV70kKkUqq4T5anhgfRf6k/edit#slide=id.g7c0a1774b_07

Here's the link to the worksheet:

https://docs.google.com/a/sas.edu.sg/document/d/1BvZWBNmhT7yXnT0wzdKxrSM7mqh36RBodasYueqTkAo/edit

Here's the link to the spreadsheet:

https://docs.google.com/a/sas.edu.sg/spreadsheets/d/1h1Q_0XqOsyIQktHuubJGTDyXxIsaej40W4dGnSf9txA/edit#gid=0

Math Reciprocal Reflection

Math Reflection, Fractions and Decimals

Part 1: In some cases, it would be more useful to use fractions. That is when for example we have a question:
color in 4/9 of the square. How much of the square isn't shaded?
If we solve this problem with fractions it would be visually easier to tell the difference and comprehend. Since 9 is an odd number, and not a multiple of 10, it would be MUCH harder to solve.
In other cases, it would be more appropriate to use decimals for example money. The reason we use decimals for money is so that we can tell between dollars and cents. Let's take 8/10 as an example. Reading 8/10 as 0.80 would be much easier and less confusing when it comes to money.

Part 2: When we compare whole numbers, the one with more digits is greater. This doesn't apply for decimals though. In decimals, the deeper into the place value we go, the number or portion becomes smaller and smaller. That is because in decimal place value we work with "th"s. For example, which is greater, 0.04 or 0.004? 0.04 would be greater because 4/100 is shaded more than 4/1000, which would be really small in quantity.

Fraction Comparison Reflection

"You know how to compare fractions using cross products, LCD, and logical reasoning. When is it better to use one method over another?"

It depends, if the fraction is something complicated like 56/79 and 34/38, it would be more efficient to use cross products.

If a fraction is easy, something like 3/4 and 2/5, logical reasoning works best. Remember that all these methods work, it's just important to know which method works quickly, accurately, and efficiently.

My Archaeology Google Sites 2014

This is a link to my Archaeology Google site that I made in Grade 6 Social Studies. I hope you learn something about the history of Pompeii.


https://sites.google.com/a/sas.edu.sg/vainavi-s-archaeology-site/ 

Favorite Number Project

How can you decide whether finding common multiples or common factors is helpful in solving a problem?

 Least Common Multiples- which ever multiple comes first from 2 numbers, is called the least common multiple

Finding common multiples and common factors are extremely important in solving a problem, because that is one of the first essential steps to break down, and simplify thinking. For example, if we come across a question that asks you to find a mystery number, and you are given the following clues
LEAST COMMON MULTIPLE IS 7
GREATEST COMMON FACTOR IS 70
The first step would be to find the answer.

Laptop Check

I made sure all the questions were answered, and I wrote my mom's response. My dad was gone on a business trip so I didn't check with him.

1) I will carry the laptop with me since my backpack is usually full. I ride the bus, so I will make sure not to forget the laptop, and be careless.

2) The laptop will be in my arms and I will make sure it is with me throughout the time period. I will not crush, damage, or hit my computer on the bus ride.

Laptop Care Poster

Productivity and Organization

Leaving a Positive Digital Footprint

              Leaving a Positive Digital Footprint

Have you ever thought that something that seemed super cool and funny a minute ago, can get you in trouble? Not just a basic problem that you can solve quickly, but problems that can ruin your future and your relationships. The worst part is, that in most cases, you can’t look back at what you’ve done, because you just left a negative digital footprint. Think twice about posting anything, and prevent many problems that could come your way.

Photo by Google Images- Mr Frew - http://mrfrew.weebly.com/digital-footprint.html

To be honest, I never knew that there was anything like a digital footprint. When I was first asked about it, I had no answer. I got to know about it a year ago, in my 5th grade Tech class, and it came in my mind that this was something that could ruin people’s future. I started feeling really passionate about this topic and decided to look deeper into it. The more I thought about how dangerous one mistake could be, and how digital footprints could impact entrance into universities and colleges, the more I thought that leaving a footprint is extremely beneficial. As long as it is a positive footprint, it could also help you with getting entrance in jobs and colleges. If you know that you can leave a positive footprint, and not a negative one, and you think that this could not only ruin your future, but somebody else’s, it can give you a good feeling of leaving a positive print, and not ruining someone else’s.

Keeping in mind that leaving a negative footprint will ruin your future and give you nothing but regret, post kind, relevant, and respectful comments to your peers, and protect your identity from the social community.

Using Your Laptop

Digital Citizenship Agreement Pledge

As a responsible Digital Citizen at SAS, I, Vainavi, promise to respect and protect myself, others, and intellectual property while learning, sharing, and collaborating online.