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Session 1 [8 October]: Get into groups & brief discussion on variables/ constants/ common rules

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Session 2 [9 October]:

Key in the above prompts 1 - 5

SLS: Excel Learning

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elicia calculations coordinator

weiran timekeeper

Shannon questioner

fleur task leader

megan presentation coordinator

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izanne -task leader

Lovelle-timekeeper

bethany-questioner

jee ann-calculations coordinator

jit tsao-presentation coordinator

Anaiah-blank

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Jonathan, Heng Yi, Dylan, Zachary, Raphael and Donavan

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Jonathan, Heng Yi, Dylan, Zachary, Raphael and Donavan

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Leanne Callum Eleanor Matthew

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Chloe: Task Leader

Kayden: Timekeeper

Caleb: Presentation Coordinator

Theodore: Calculations Coordinator

Lorraine: Questioner (?)

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Assign roles

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Kuik Tze Junn (19)

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Tze Junn: Everything

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anson:presentation coordinator aydan:task leader ezra:time keeper alden:questioner marcus: calculations coordinator 

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anson:presentation coordinator aydan:task leader ezra:time keeper alden:questioner marcus: calculations coordinator 

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1. Task leader - Eleanor

2. Questioner - Leanne

3. Calculations coordinator - Matthew

4. Presentation coordinator - Callum

5. Time keeper - Matthew

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1+1=3

IDK

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PROBLEM : finding the most suitable container to fit the most amount of popcorn in the container.

SOLUTION : the group will experiment with diff. kinds of container.

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1 put most popcorn

2materials, objectives, teacher

3already identified

4idk

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WHAT IS THE PROBLEM TO BE SOLVED? WHAT DOES MY GROUP HAVE TO DO?

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WHAT IS THE PROBLEM TO BE SOLVED? WHAT DOES MY GROUP HAVE TO DO?

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Designing a container out of an A4 size-paper that has the greatest volume(Length x Breadth x Height) can contain the most amount of popcorn without spilling or breaking to win:)

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1. Planner - Dylan

2. Stacker - Jonathan

3. Carrier - Heng Yi

4. Ideas - Zachary, Raphael

5. Calculations - Jonathan

6. Nothing yet - Donavan

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Q3: Identify the variables and constants in this problem.

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Q3: Identify the variables and constants in this problem.

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VARIABLES:

Amount of tape/glue used

Volume of container made CONSTANTS:

Type of popcorn

Person/customer holding popcorn

Material made for container

Amount of popcorn

Size of popcorn ( Really BIG? Really small? )

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some containers waste air space, cannot fit the most amount of popcorn

materials are limited, cannot waste

-the volume of each container (what we need to find)

-excel + experiment with diff shapes of containers

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1. To make a container out of A4 paper and be able to fit the largest amount of popcorn possible. Make sure the container is able to hold the popcorn without it dropping or spilling.

2. There will be spaces within the popcorn as it is a solid and has irregular shapes. The size of the A4 paper is est. 21cmx29cm. We need to know the rough size of a singular popcorn. Estimation and averaging of popcorn sizes will be able to allow us to find the rough size of a singular popcorn so that we can figure out the most amount of popcorn our container can fit.

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My full name is Norwegian Gabe Itches for sale, IDK why.

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My full name is Norwegian Gabe Itches for sale, IDK why.

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constant :

materials given

location (temperature of the surroundings)

distance walked + measured

presence of wind

level of humidity

no crushing popcorn

changed variable:

volume of container

size of container

amount of popcorn that can fit in the container

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WHAT DO YOU ALREADY KNOW ABOUT THE PROBLEM? WHAT INFORMATION IS GIVEN? WHAT OTHER INFORMATION DO YOU NEED? WHERE CAN YOU FIND THE INFORMATION?

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WHAT DO YOU ALREADY KNOW ABOUT THE PROBLEM? WHAT INFORMATION IS GIVEN? WHAT OTHER INFORMATION DO YOU NEED? WHERE CAN YOU FIND THE INFORMATION?

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We know that the popcorn cannot exactly fit in the box as it is a solid. There will be air spaces in between the popcorn! We can use 1 piece of A4-sized paper to fold a container to hold the popcorn. We can gather answers on Excel or a calculator. Moreover, we can search on Google for more details. ( E.g. Area of A4-sized paper )

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1. we need to find how to make a popcorn box with the largest volume.

2. sweet popcorn is tasty, popcorn keeps falling out of popcorn boxes (such a waste...) and we only have 1 sheet of paper.

changed variables: adhesive stuff (eg tape, glue, etc.) or stapler, ruler, scissors

constants: type of paper, level of humidity, presence of wind

4. popcorn is always tasty, popcorn takes up space, popcorn is a solid, the paper will become more flimsy when the level of humidity increases, and popcorn boxes today are not good at holding popcorn

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Q4: What assumptions do you have to make to simplify this real-world problem into a mathematical problem?

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Q4: What assumptions do you have to make to simplify this real-world problem into a mathematical problem?

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Cupboard can be strong enough to hold popcorns

The balance of the person holding the popcorn is good/bad

The greater the volume of the container, the more popcorn can be held in it, then got more popcorn to eat! (YUM!)

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All the popcorn in the bucket is similar size

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1. The problem to be solved is to ensure the popcorn does not spill out.

Our group is supposed to create different variants of the 'answer' and find the best variant.

2. We know that we should be aware about the gaps in the A4 paper in one of our variant such that the popcorn does not spill out.

Information given to us are: We are using an A4 piece of paper and that we are allowed to use tape, glue, scissors and string.

This information is given in the worksheet given to us.

3. The way the paper is used or folded.

The materials that can be used.

4. The volume of the 'container' is the same (?).

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question 1) we have to create a container that can hold the most no. of popcorns spilling

question 2) we can only use one piece of paper. everyone is given the same materials. whether we can use additional materials not given. from mrs ang

question 3) already mentioned

question 4) idk

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3.

variables that can be changed

- shape of container

- volume of container

- area of base

constants

- A4 paper (size and area)

-

4.

assumptions

- each popcorn is the same size (1.5cmx1.5cmx1.5cm?)- say it takes up like a square's volume

- the paper can confirm hold as much popcorn as possible

- there will be air spaces in between

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1: Fit the most popcorn in the A4 paper without it spilling

2: We should give the most surface area so it can hold the most amount of popcorn

3:constants: A4 paper , scissors, tape, glue, stapler. Constant when determining outcome: walk from classroom to lift with little spilling. will have same temperature, weather. Enforced rules: No crushing popcorn. 4: we can assume volume of popcorn by finding volume to popcorn and add more for air spaces

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too tedious

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You will be given white papers to start exploring. Use EXCEL & formulas to help you with the calculations.

Save pictures of EXCEL into tablet and your brain storming process into the Padlet.

E.g. Cone: Pros .... Cons ...

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cons

waste space because of rounded space

pros

can fit the most amount of popcorn

waste least amount of paper

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pros: bigger in size than cone, easier to make than cone

cons: very confusing calculations is needed

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Pros: Easy excess to popcorn in cinema! don't need to dig for the delicious ones at the bottom! Also very cute!

Cons: MIGHT fall out easily if person loses balance easily. May take some space for hands. it cannot be held like a cup, but like a mini food tray.

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Prototype 1: Box with flaps

Pros:

-The box is able to hold popcorn without it spilling.

-Easy to make.

-Flap makes it convenient to hold.

Cons:

-Flaps take up space.

-Small.

Prototype 2: Box without flaps

-Is bigger than prototype 1.

-Has more space without flaps.

-Also easy to fold.

Cons:

-Flaps that fold inwards, causing more space to be wasted.

-There are bigger prototypes.

Prototype 3: 'Bag' inspired by Mdm Nandini's straw bag

Pros:

-Bag can hold more popcorn due to the spaces in the bag.

-Has handle.

-Bigger than other prototypes.

Cons:

-Hard to make.

-Takes lot of time to tape strips together.

-Handle is actually useless.

Prototype 4: Lantern

Pros:

-Can be stretched and compressed.

-Easy to make.

-Can hold more popcorn that 1 and 2.

Cons:

-When compressed, popcorn can fall through.

-Not reliable.

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1. Peer TAG Feedback

Look at the group's post (from the right) E.g Anaiah -> Aydan etc and last group will feedback on Anaiah's group

T: Tell something your group likes

A: Ask a question

G: Give a feedback on what the group has overlooked or any suggestion for them to improve

2. With the received feedback, continue to work on your prototype. Start to work on the details - calculations involved.

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T: I like how you alr have prototypes+planned out the steps with much detail

A: For prototype 1 and 2, wouldn't the smaller popcorn fall out?

G: you can give more elaboration on Q4

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TAG comments: Kuik Tze Junn's group to Anaih's group

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TAG comments: Kuik Tze Junn's group to Anaih's group

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T: You guys made a lot of prototypes. That can help in finding the best way to make a paper container, so as to create a container that can hold the most popcorn over the furthest distance. This is very useful, as hands-on/3D reference can be very helpful in this kind of project.

A: How did you come up with those designs? I believe that you would have most likely come up with it by yourself, but there is the occasional unoriginal person who goes online or asks ChatGPT.

G: I wonder if the gaps are the best idea? There are long strips line up next to each other, which could mean that it is easier for popcorn to slip out. After all, paper is flimsy and flexible. I would recommend sparing some paper to make more vertical strips, so as to make the holes/gaps within the paper smaller, preventing, or at least decreasing the chance of, popcorn falling out of the container.

I hope that I did this right!

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T: We like that you have a wide variety of ideas for the popcorn containers.

A: For the cylinder, what are you going to do with the extra paper that is wasted to make the shape?

G: I would advice you to find a shape where no paper would be wasted for more space for the popcorn.

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Length: 7cm

Breadth: 7cm

Height: 17cm

Volume: 833cm3

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Length: 11cm

Breadth: 15cm

Height: 5cm

Volume: 825cm3

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Length: 10cm

Breadth: 10cm

Height: 5cm

Volume: 500cm3

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Continue to work with your calculations using Excel.

Upload the calculations and work towards constructing your container.

Deadline: next Thurs/ Fri

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21/29.7cm

Circumference:29.7cm

Diameter:9.5 (Roughly)

Area:71 (Roughly)

Volume:848.2 cm3

Average size of popcorn: 0.5-1 cm3

Average no. of popcorn that can be held in this container: Roughly 900

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celine - questioner

peichen - walking calculator and leader

carys - presentation coordinator

janine - timekeeper (OKAY HURRY UP GUYSSS)