6R7 - Popcorn Deal! by

phppsmath — 2024-10-09 00:56:52 UTC

phppsmath — 2024-10-09 00:57:12 UTC

phppsmath — 2024-10-09 00:57:31 UTC

phppsmath — 2024-10-09 00:58:03 UTC

phppsmath — 2024-10-09 00:58:53 UTC

phppsmath — 2024-10-09 00:59:53 UTC

phppsmath — 2024-10-09 01:37:35 UTC

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

phppsmath — 2024-10-09 01:38:31 UTC

Session 2 [9 October]:

Key in the above prompts 1 - 5
SLS: Excel Learning

alden anson ezra aydan marcus

2024-10-09 02:17:56 UTC

grp members

2024-10-09 02:18:06 UTC

elicia calculations coordinator

weiran timekeeper

Shannon questioner

fleur task leader

megan presentation coordinator

2024-10-09 02:18:29 UTC

izanne -task leader

Lovelle-timekeeper

bethany-questioner

jee ann-calculations coordinator

jit tsao-presentation coordinator

Anaiah-blank

Celine, carys, peichen, janine

2024-10-09 02:19:22 UTC

Caleb(5) Chloe(9) Theodore(20) Lorraine(28) Kayden(40)

2024-10-09 02:19:24 UTC

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

gaming_is_the_life — 2024-10-09 02:20:09 UTC

leanne_childofgod — 2024-10-09 02:20:09 UTC

Leanne Callum Eleanor Matthew

ROLES:

2024-10-09 02:21:19 UTC

Chloe: Task Leader

Kayden: Timekeeper

Caleb: Presentation Coordinator

Theodore: Calculations Coordinator

Lorraine: Questioner (?)

Session 2 [9 Oct]:

phppsmath — 2024-10-09 02:21:42 UTC

Assign roles

Group members:

2024-10-09 02:23:15 UTC

Kuik Tze Junn (19)

roles

2024-10-09 02:23:18 UTC

celine - questioner

peichen - walking calculator and leader

carys - presentation coordinator

janine - timekeeper (OKAY HURRY UP GUYSSS)

Roles:

2024-10-09 02:23:44 UTC

Tze Junn: Everything

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

2024-10-09 02:23:51 UTC

Role assignment

2024-10-09 02:24:19 UTC

Task leader - Eleanor
Questioner - Leanne
Calculations coordinator - Matthew
Presentation coordinator - Callum
Time keeper - Matthew

Plan:

2024-10-09 02:25:14 UTC

1+1=3

IDK

1. problem

2024-10-09 02:25:54 UTC

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.

2024-10-09 02:25:56 UTC

1 put most popcorn

2materials, objectives, teacher

3already identified

4idk

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

2024-10-09 02:26:16 UTC

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:)

Roles

gaming_is_the_life — 2024-10-09 02:26:40 UTC

Planner - Dylan
Stacker - Jonathan
Carrier - Heng Yi
Ideas - Zachary, Raphael
Calculations - Jonathan
Nothing yet - Donavan

Q3: Identify the variables and constants in this problem.

2024-10-09 02:28:32 UTC

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? )

2.

2024-10-09 02:31:40 UTC

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

Prompts

2024-10-09 02:31:41 UTC

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.
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.

What the sigma

2024-10-09 02:36:42 UTC

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

2024-10-09 02:37:45 UTC

3.

2024-10-09 02:38:12 UTC

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

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

2024-10-09 02:40:11 UTC

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 )

questions

caryschung6 — 2024-10-09 02:41:07 UTC

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

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

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

2024-10-09 02:42:17 UTC

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!)

4.

2024-10-09 02:42:30 UTC

All the popcorn in the bucket is similar size

Questions to secure goal

koh_jit_tsao — 2024-10-09 02:42:46 UTC

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.
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.
The way the paper is used or folded.
The materials that can be used.
The volume of the 'container' is the same (?).

2024-10-09 02:46:09 UTC

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

leanne_childofgod — 2024-10-09 02:48:29 UTC

variables that can be changed

- shape of container

- volume of container

- area of base

constants

- A4 paper (size and area)

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

Prompt Group Answer

2024-10-09 11:52:53 UTC

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

Session 3 [10 October]

phppsmath — 2024-10-10 03:21:17 UTC

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 ...

cylinder

2024-10-10 04:25:49 UTC

cons

waste space because of rounded space

pros

can fit the most amount of popcorn
waste least amount of paper

bowl

2024-10-10 04:28:32 UTC

too tedious

phppsmath — 2024-10-10 04:30:21 UTC

phppsmath — 2024-10-10 04:30:52 UTC

shape: cylinder

caryschung6 — 2024-10-10 04:31:05 UTC

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

cons: very confusing calculations is needed

phppsmath — 2024-10-10 04:31:30 UTC

phppsmath — 2024-10-10 04:32:19 UTC

POPCORN TRAYY

2024-10-10 04:32:42 UTC

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.

phppsmath — 2024-10-10 04:33:58 UTC

phppsmath — 2024-10-10 04:34:32 UTC

Pros and Cons

koh_jit_tsao — 2024-10-10 14:09:11 UTC

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.

Session 4 [11 Oct]

phppsmath — 2024-10-10 22:58:23 UTC

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

a bowl

2024-10-11 03:17:44 UTC

comment

2024-10-11 03:30:31 UTC

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

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

kuiktzejunn — 2024-10-11 03:30:36 UTC

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!

Feedback from Heng Yi's group

gaming_is_the_life — 2024-10-11 03:32:05 UTC

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.

Prototype 1: DINO DINO

2024-10-11 03:34:52 UTC

Length: 7cm

Breadth: 7cm

Height: 17cm

Volume: 833cm3

Prototype 2: King Mr Allosaur

2024-10-11 03:37:45 UTC

Length: 11cm

Breadth: 15cm

Height: 5cm

Volume: 825cm3

Prototype 3: ROAR

2024-10-11 03:41:08 UTC

Length: 10cm

Breadth: 10cm

Height: 5cm

Volume: 500cm3

phppsmath — 2024-10-11 03:46:57 UTC

Session 5 [17 October]

phppsmath — 2024-10-17 01:06:21 UTC

Continue to work with your calculations using Excel.

Upload the calculations and work towards constructing your container.

Deadline: next Thurs/ Fri

A4 Measurements

kuiktzejunn — 2024-10-17 01:17:17 UTC

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