Math Stuff! Lemonade Stand Problem

Problem Solving Graphic Organizer

Define the Problem
What is the problem about? What is it asking you to do? Make a prediction for a solution. The problem is about Mrs. Sutton and Mrs. Nomura opening a lemonade stand because it is a hot day. The first part is asking us to find out if they have enough sugar and if not, then find out how much more they need. The second part is asking us to find out how many more lemons they need to squeeze for the recipe. The third part is asking us to find out how many of each ingredient do we need to sell lemonade to 13 people and have none left over. The fourth part is asking us to find a price for the lemonade so that it is profitable and not unreasonable. I think that they would need to squeeze around 1 1/10 more lemons. I think that they would need around ½ more cups of sugar. I think that they will need around 2 ½ cups of sugar, 17 cups of water, 4 ⅔ cups of lemon juice. I think that they should charge around $1 per glass.
Analyze the Problem
What do you know from the problem scenario or lessons that can help solve the problem? I know the recipe for the lemonade. I know how much sugar each person has. I know how many lemons they have squeezed already. I know how much juice each lemon gives. I know how many people are in line. I know the recipe serves 7 people. According to www.wikihow.com/Run-a-Lemonade-Stand, the average lemonade stand costs $1.00 to $1.25 per every large cup.	What concepts or information do you need to know in order to solve the problem? I need to know how many cups of sugar they both have combined. I need to know if they have enough sugar to make the lemonade. I need to know the common denominator of the amount of lemon juice already squeezed and the amount of lemon juice needed. I need to know the common denominator of Mrs. Sutton’s sugar and Mrs. Nomura’s sugar. I need to know the common denominator of the teacher’s total sugar and the amount of sugar needed for the recipe. I need to know how much lemon juice they need. I need to know what 6/7 of each ingredient is. I need to know if more people would come in line. I need to know what price is reasonable. I need to know what price will be profitable.
Brainstorm Strategies for Solving the Problem
What strategies might you use to solve the problem? How will you start the problem? For part 1, I will find the common denominator for Mrs. Nomura’s total cups of sugar, and Mrs. Sutton’s total cups of sugar. Then, I could add them together. I will then find the common denominator for the amount of sugar you need for the recipe and the amount of sugar Mrs. Nomura and Mrs. Sutton have together. Then, I will subtract the two numbers. If it is negative, then I need to find out how much more sugar she needs. For part 2, I will find the common denominator for Mrs. Nomura’’s and Mrs. Sutton’s total cups of lemon juice and the total amount of lemon juice needed for the recipe. I will then subtract the teachers lemon juice from the total juice needed. Whatever I have left, I will multiply that by 4 because 4 lemons make 1 cup of juice. I will start by finding the common denominator. For part 3, I will begin by subtracting 12 by 7, and then I will subtract that number by the 13 people in line. The number I get will be how many people won’t get lemonade if no more is made. Then I will divide that number by 12. I will take this number and multiply it by each ingredient. (x * 1 ¾ or x * 8 ½ or x * 2 ⅓ ) I will start by subtracting 12 by 7. For part 4, I will begin with thinking up of some prices that seem reasonable. Then, I will look online for average but profitable prices for a cup of lemonade and find the average between the two prices (My price and the online price). If one price matches with mine, I will use that. I will start by thinking of a reasonable price.

Your Work

1 ¾ cups of sugar needed Mrs. Sutton’s sugar + Mrs. Nomura’s sugar = ⅝ + ⅔ = (⅝ * 3/3) + (⅔ * 8/8) = 15/24 + 16/24 = 31/24 = 1 7/24 (I found the common denominator and then added.) 1 7/24 - 1 ¾ = (1 7/24 * 4/4) - (1 ¾ * 24/24) = 1 28/96 - 1 72/96 = -44/96 sugar -44/96 = 11/24 more sugar needs to be borrowed from their neighbours. (First, I took Mrs. Nomura’s total amount of sugar and the number of sugar needed for the recipe and made an equation. Then, I found the common denominator for the fractions. Finally, I subtracted and got my answer of -44/96. I simplified that into -11/24, or 11/24 cups of sugar is needed.) 2)  Teachers juice = 1 ½ cups of lemon juice Total juice needed = 2 ⅓ cups of lemon juice 1 ½ * 3/3 = 1 3/6 2 ⅓ * 2/2 = 2 2/6 2 2/6 - 1 3/6 = 14/6 - 9/6 = ⅚ ⅚ * 4 = 20/6 = 3 2/6 = 3 ⅓ more lemons need to be squeezed. If you can’t squeeze ⅓ of a lemon, then they need to squeeze 4 more lemons. You could also cut a lemon into thirds for the remainder. (First, I found the common denominator of the amount of juice the teachers have, and the amount of juice they need for the total recipe. Then, I converted them into an irregular fraction. I subtracted the two numbers and then multiplied the number I got by 4. I did this because 4 lemons make 1 cup of lemon juice. Finally, I simplified the answer.) 3) 7 people have been served so far. The recipe serves 12 people. 12 - 7 = 5. 13 - 5 = 8. 8 / 12 = ⅔  1 ¾ * ⅔ = ⅔ + 6/12 = 8/12 + 6/12 = 14/12 = 1 2/12 = 1 ⅙ 8 ½ * ⅔ = 16/3 + 2/6 = 16/3 + ⅓ = 17/6 = 2 ⅚ 2 ⅓ * ⅔ = 4/3 + 2/9 = 12/9 + 2/9 = 14/9 = 1 5/9 1 ⅙ cups of sugar, 2 ⅚ cups of water, and 1 5/9 cups of lemon juice are needed. (First, I subtracted 7 from 12. I got 5. Then, I subtracted 13 by 5, because 13 people are in line, and the teachers already have enough lemonade for 5 of them. I got 8, so 8 people won’t get juice if they don’t make more. So, I divided 8 by 12, and got ⅔. I did this to get the number I need to multiply by each ingredient to make enough lemonade for the people in line, and have none left over. I then multiplied each ingredient by ⅔.) 4)  A reasonable price would be around $1 per cup. Online Source: http://www.wikihow.com/Run-a-Lemonade-Stand It says that a reasonable price would be $1 to $1.25 per cup. 1 = 1 1 < 1.25 Final Answer: $1 per cup

Reflective HW Section

Please answer honestly, thoughtfully, and in complete sentences.

1. Which section of the PSGO was most helpful to you and why?
2. Which section of the PSGO was the most challenging for you and why?
3. How can we better help you to learn?

The Brainstorm Strategies for Solving the Problem section was the most helpful for me because it helped me take a certain approach to work, which made it easier.

The most challenging section was the work section, because that took the longest in doing the work, checking it, and correcting it.

You can better help us learn by maybe making a few questions harder. For example, the last question was very easy to answer and only took a few minutes to solve. Everything else, took much longer.

Lemonade Stand HW Practice Questions

1) 5 ½ + 3 ⅓ = 8 ⅚

5 ½ * 3/3 = 5 3/6

3 ⅓ * 2/2 = 3 2/6

5 3/6 + 3 2/6 = 8 ⅚

2) 5 ½ - 3 ⅓ = 2 ⅙

5 ½ * 3/3 = 5 3/6

3 ⅓ * 2/2 = 3 2/6

5 3/6 - 3 2/6 = 2 ⅙

3) 2 1/7 ⋅1 2/9 = 2 + 4/9 + 2/63 + 1/7 = 2 + 28/63 + 2/63 + 9/63 = 2 39/63

= 2 13/21

4) 3 ¼ ÷ 2/3 = 2 ⅜

3 ¼ / ⅔ = 2 + ⅜ = 2 ⅜

Copy the questions from ECHO and paste them below.

Luckily Mrs. Nomura has a lemon tree in her backyard.  Here is the recipe they found online for one pitcher (12 servings):

1 3/4 cup sugar

8 1/2 cups of water

2 1/3 cups of lemon juice

Mrs. Sutton has 5/8 cup of sugar and Mrs. Nomura only has 2/3 cup of sugar.  Do they have enough sugar to make a pitcher of lemonade?  Will they need to borrow sugar from a neighbor?  If so, how much?  

When you have completed your work, please ask your teacher to check your work.

If complete, use the given password to open Lemonade Stand Part 2.

You can get about 1/4 cup of lemon juice from each lemon.  Mrs. Sutton has juiced about 1 1/2 cups.  How many lemons does she still need to juice in order to make enough lemon juice for the recipe?

When you have completed your work, please ask your teacher to check your work.

If complete, use the given password to open Lemonade Stand Part 3.

The lemonade stand is a success!  Unfortunately we don’t have enough lemonade for all of our customers.  We have served 7 customers and there are still 13 customers in line.  How many ingredients of each type do we need to make enough lemonade with no lemonade left over?

When you have completed your work, please ask your teacher to check your work.

If complete, use the given password to open Lemonade Stand Part 4

Now that we have established how much of everything we need we need to think about how much all of this is going to cost.  How much should we charge in order to make a profit that is good, while still charging a reasonable price?

What I Want To Be When I Grow Up version 2

    Many kids, always wonder about what they would be when they grow up. I, want to be a heart surgeon. A heart surgeon, performs surgeries on the heart. Obstacles of becoming a heart surgeon, are being able to work hard, get good grades, and find a good mentor to guide me.

First of all, I need to work hard. I need to persevere, and try my best. If I don't try my best and give up, nothing will be achieved. Some things I need to to work hard on are my communication skills. Sometimes, I tend to stutter, take back what I said, speak too fast, or parts of the sentence I say aren’t heard. I can practice speaking properly, by teaching others to speak properly. Teaching, is the best way to learn. If I teach my younger or older brother to speak slowly and a uncinate each word, I would start doing it myself. My father learned to speak clearly, by teaching me.

Also, I must get good grades. Right now, my grades are very good. I have a gold honor roll, and if I keep it up, I can become a good heart surgeon. I want a really good college to accept me, so I can become a great heart surgeon. In order to keep my grades up, I must have peace and quiet at home to study. I would have to bribe my younger brother to be quiet, and stay away from my elder brother. My younger brother tends to start singing every few minutes, and if I get near my elder brother, he starts yelling at me.

Finally, I have to be able to find a good mentor to guide me. Some people, just pretend to be nice and professional, but actually have no idea what they are doing. I need someone who is strict and know what they are doing. My uncle, who is a radiologist, can be my mentor. He can teach me to have a steady hand, how to operate certain tools, how careful I should be.

All in all, in the future I want to be a heart surgeon. Some obstacles in becoming one, are being able to work hard, get good grades, and find a mentor. To get through these obstacles, I must bribe my brothers to stay quiet, work on my communication skills, and shadow my uncle.

Ears

Ears

By: Akash Agrawal

       My ears are very important for me. I learn things, enjoy things, am assigned work, and am encouraged with my ears. They are one of the five senses, and play an important role in almost all of our bodies.

     Without my ears, life would be difficult and miserable. Some people can't communicate with deaf people, and won't be able to send a message through at all. I personally don’t know sign language, and neither do most of the people I know. I would never enjoy the sounds of a movie, cartoon, or nature! My teacher and parents will find it hard to teach me or assign me work. In times of frustration or despair, everyone can do little or nothing to encourage or comfort me. I would have lost one of my five senses, and my favorite one of all. Life would be hard and full of despair without ears.

Keith Haring, Ignorance = Fear (Painting)

Painting name: Ignorance = Fear
By: Keith Haring
Created: 1989
Where was it made: In New York subways.
Why it was made: Keith wanted people to be aware of aids, and act up in the fight against aids.
Reasons for Choosing
I have the materials and people required for remaking this drawing.It supports the fight against aids.
It looks funny, because of the way they are moving, and their posture.
It looks sad, because they look like they could be suffering or dying.
Keith Haring Background:
Keith Haring was a graffiti artist. He used to love drawing people, hearts, dogs, and dolphins on top of the black papers they put over old ads in the subway. He was arrested many times for doing this. People eventually started appreciating his artwork.


Akash Agrawal

Dear future me

May 3, 2017

               Dear future Akash,

       Hello future me! How are you? As I have implied, I am Akash, but five years ago. You are a Junior in highschool now, I guess. I imagine you being the same as I am now. I hope you are still getting good grades, still a good person, and still very healthy. First of all, I hope you are still getting good grades. I expect that you are caught on on all of your assignments. Hopefully, you still have a gold honour roll. If not, start now. Study everyday. Work as hard as you can. It may sound weird to be inspired by you five years ago, but just do it. I hope you are still chasing my old dream of becoming a heart surgeon, and taking the subjects needed for that. Also, I hope you are still a good person, and you are nice to everyone. I imagine that you still have only a few enemies. Hopefully you don’t plan to or never have made any seriously bad decisions. I would expect a clear permanent record. Hopefully you have no bad friends either, and our parents our happy. If all of this applies to you, then I am proud of future me! Finally, I hope you are very healthy. Do you eat healthy? Do you have any disease or something that was caused because of unsanitary reasons? I hope you are completely fine and ready to learn every day. If you don’t eat healthily, you will find yourself being less efficient. Also, please have a proper amount of sleep, which is eight hours or above. YA NEED TO DRINk ZE MILK to grow. I want to be nice and tall when I grow up. All in all, I hope you are still getting good grades, still a good person, and still very healthy. I will be proud of you if you are.

From,

[(ME) Aksh] Akash

Leave during Break? Vs No leaving during Break (For High schoolers)

Should high schoolers be allowed to leave School Campus During Breaks Debate

Yes:

Students need more freedom.

Students may want to have a variety of foods, see a variety of places, variety of people to interact.

Students are responsible for their good and bad.

If they don’t come back on time it is their loss not the school’s.

No:

It is not safe off campus.

Students may get hurt, and may be unable to contact anyone. Students may get lost.

It is difficult to account for Students.

They may be in danger, be stuck somewhere, or decide to skip school for a day. The school wouldn’t know what happened. The school cannot account for their absence. It is much easier for the school to account for students if they are on campus.

There is not enough time.

1. It takes so much time getting out of the school and going somewhere off campus. That would leave little time at target destination.

Cyber Seniors (Film)

Cyber Seniors

By: Akash Agrawal

The film Cyber Seniors was released in 2014, and is about connecting seniors to the internet. It talks about a program which teaches seniors how to use the internet. This film impressed me, made me see things in a different way, but can be improved.

First of all, this film impressed me. One thing that impressed me was that many seniors don’t know how to use the internet, and that some program was made to teach them to use it. These people used their time to help seniors! This film was made to describe this program. Another fact that impressed me was that many seniors aren’t in contact with their relatives. This film talks about a program, which can help connect them with their family again. The third fact that impressed me, was that this program brought seniors together. This film talked about a program that connected people to the internet. Then, they helped the seniors get together. Another fact that impressed me was that seniors made youtube videos with the help of their partners. This film talked about a competition between seniors which said that the senior that had the most views on their video, would win. One fact that really impressed me was that a senior had four thousand views on a video. This film talked about connecting seniors to the internet, and some people showed the seniors how to use youtube. The final fact that impressed me, was that some seniors have few companions, and would use the internet to find one. This film showed seniors how to use the internet, and one thing they showed them to do was to use social media. Shena and Max helped teach seniors to use the internet, and they made the program and teach seniors at senior centers.

Also, this film made me see things in a different way. I had never heard of a senior not knowing what an email was. It made me see that many seniors have never used the internet, or rarely use it. The fact that many seniors don’t use the internet seemed out of place. The scene where a senior received a comment on his image appealed to me. The way he reacted, he was joyful.

Finally, this film can be improved. The producers of this film should ask each senior to introduce themselves before they showed them how to use the Internet. We would be able to know more about the seniors and their past. We would know why they would want to use the Internet. If someone asked me if I would recommend this film, I would say yes. This film is a great way to tell people that many seniors don't use the Internet. Maybe, some people can connect their relatives to the Internet, and they could stay in touch with each other or have fun.

All in all, the film Cyber Seniors talks about a program which connected seniors to the Internet. This film impressed me, made me see things in a different way, but can be improved.