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(Students) Chap 3 (Activity) Fermi Estimation

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Fermi Estimation A REAL WORLD APPLICATION of ESTIMATION An Investigation Recommended Duration (approx): Understanding the Problem & Discussion (15-20 min) Field Activity: 20 min Solutioning and Submission: 20 min Students' Version

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Step 1: Understand the Problem
Step 2: Devise a Plan
This includes assessing what resources we have
Step 3: Carry out the Plan
Step 4: Check back
- One of the ways is to check with other teams what they obtain

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List some sub-questions you need to answer in order to help you find the answer to the question

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List some sub-questions you need to answer in order to help you find the answer to the question

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List some sub-questions you need to answer in order to help you find the answer to the question

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List some sub-questions you need to answer in order to help you find the answer to the question

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List some sub-questions you need to answer in order to help you find the answer to the question

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You should have the POSTS that describes how your group had carried out the investigation; and the solution (with working clearly shown)

1 post: What are the consideration?

1 post: What kind of information the  group intends to find and how you intend to get the info (eg the measure to of ….)?

More than 1 post: Pictures / diagrams of materials used, and people in action (eg How you measure…?)

1 post or more: Calculations/ Working to show how you obtain the value

1 post: State any assumptions made (eg when taking the measurement)

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You should have the POSTS that describes how your group had carried out the investigation; and the solution (with working clearly shown)

1 post: What are the consideration?

1 post: What kind of information the  group intends to find and how you intend to get the info (eg the measure to of ….)?

More than 1 post: Pictures / diagrams of materials used, and people in action (eg How you measure…?)

1 post or more: Calculations/ Working to show how you obtain the value

1 post: State any assumptions made (eg when taking the measurement)

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You should have the POSTS that describes how your group had carried out the investigation; and the solution (with working clearly shown)

1 post: What are the consideration?

1 post: What kind of information the  group intends to find and how you intend to get the info (eg the measure to of ….)?

More than 1 post: Pictures / diagrams of materials used, and people in action (eg How you measure…?)

1 post or more: Calculations/ Working to show how you obtain the value

1 post: State any assumptions made (eg when taking the measurement)

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You should have the POSTS that describes how your group had carried out the investigation; and the solution (with working clearly shown)

1 post: What are the consideration?

1 post: What kind of information the  group intends to find and how you intend to get the info (eg the measure to of ….)?

More than 1 post: Pictures / diagrams of materials used, and people in action (eg How you measure…?)

1 post or more: Calculations/ Working to show how you obtain the value

1 post: State any assumptions made (eg when taking the measurement)

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You should have the POSTS that describes how your group had carried out the investigation; and the solution (with working clearly shown)

1 post: What are the consideration?

1 post: What kind of information the  group intends to find and how you intend to get the info (eg the measure to of ….)?

More than 1 post: Pictures / diagrams of materials used, and people in action (eg How you measure…?)

1 post or more: Calculations/ Working to show how you obtain the value

1 post: State any assumptions made (eg when taking the measurement)

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2023 S1-02 Groups for Fermi Estimation (Responses)

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Length of field

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I use imagination 😎😏

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THE AREA OF COIN

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the length of field

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I think in our grp, we will just measure it

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The diameter of a $1 coin

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width of field

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Diameter of coin

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measure the field

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The length and breadth of the field. The diameter of the coin.

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Question: What is the diameter of the $1 coin?

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Half of the field

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The dimensions of a coin

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Width of field

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Find the diameter of the 1 dollar coin

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Yi Jie's height

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Half of the field

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For a more efficient way we could find the area of the quarter of the field.

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Length of field

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Find the area of the field

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1) We used the measuring app on the phone.

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We found out the amount of shoes it takes to be the lenght of half of the length and breadth of the field. After finding that out, we multiply the value by 2. Then, we measure the length of the shoe and multiply it by the length of the lenght and breadth of the field.

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Jean Anne used her phone to measure the length and breadth of the field. We then multiplied it to find the area.

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Jean Anne used her phone to measure the length and breadth of the field. We then multiplied it to find the area.

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Diameter of 1 dollar coin: 2.5cm

total no. of coins needed ; 13 692 888

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We wanted to find the diameter of the coin, length and width of the field.

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Diameter of the coin: 0.02466m
Length of field: 93.4m
Width of field: 59.67

93.4m/0.02466 = 3787(Rounded to whole no.)
59.67m/0.02466 = 2419(Rounded to whole no.)
2419 x 3787 = 9160753

Ans:9160753

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No assumptions.

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Width: 58.86m (60m) =6000cm

Length: 92.03m (92m) =9200cm

6000cm/1.85cm=3243
9200cm/1.85cm=4972

4972x3243=16124196

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Our answer is 16 124 196 coins

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We consider the length and breadth of the field and the mesurement of the coin.

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We used the measuring app on iphone

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We need to consider that is too difficult to measure the area of the whole field. Thus, we measured one quarter of the field

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I AM PROER THAN BARNEY CUZ IM RED AND HES PURPLE

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size of my foot

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Diameter of one one dollar coin = 2.5cm

Area of 1 1 dollar coin = 6.25 cm square
= 0.000625

Length of field = 94.13m

Breadth of field = 60.73m

Area of football field = 94.13m x 60.73m
= 94m x 61m
= 5734 metre square

5734 divided by 0.000625 = 9174400

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We needed to consider how long we took to find the measurements.

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We intended to find the length and breadth of the field and the diameter of a 1 dollar coin by using google maps and searching the diameter of a 1 dollar coin on google.

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Calculations:
Diameter of 1 dollar coin : 2.465cm or 0.02465m

Length of field : 94.65m

Breadth of field : 60.25m

94.65m/0.02465m= 3839
60.25/0.02465= 2444

So, 3839x2444= 9,382,516

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We assumed that the measurements that we got from the internet were correct.

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Length and Breadth of field not reported.
Images to report/ support process missing.
Calculation involved - Unclear