Game design

Numeracy Lesson 3


Statistics and probability

Introduction

Watch the video for an introduction to Lesson 3.

Lesson overview

Duration 1:20

Understanding the tasks

Rating the tasks

This lesson contains a few activities. Each activity will have one or more tasks. These tasks have been given a rating.

Some of the tasks in this lesson are must do. These are important to help you understand the introductory ideas or skills.

Have a go at the should do tasks and reach out to your friends or teacher if you need some advice. These will usually take a bit longer to complete than must do tasks.

Could do tasks will probably take you some extra time and might need you to get creative or problem solve. We strongly encourage you to try these.

Activity 1 - Rock, paper, scissors

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Task 2

  1. Use the interactive cards on the right to remind yourself of some key definitions.

  2. Use the embedded Rock, paper, scissors simulator below to play the game. (If the embed isn't working, open the Rock paper scissor simulator in a new tab.)

    • Choose whether you are Player 1 or Player 2.

    • Play first to 10 rounds wins.

    • Press the play button to randomly generate rounds until either player reaches a score of 10.

  3. Find someone else to play the game with, either a person in your home, or a family member or classmate online using video chat so you can see each others hands.

    • Play first to 10 rounds wins.

    • Play using the strategies explored in Task 1.

    • Do not tell your opponent about your strategies!

  4. Compare the results of the simulator game with the game you played against a person.

Comment on the difference your strategic decision-making had on the games' outcomes.

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Task 3

Have you ever thought about what result you get when you add two whole numbers together?

What about when you multiply two whole numbers together?

  • In your workbook or folder, write down what you think happens when adding and multiplying two whole numbers. In particular, think about what the last digit will be.

  • Use the Random, or Not? activity from the Maths is Fun website below, to guide your thinking and investigation.

  • Then, answer the big question:

Are the digits 0 to 9 all equally likely?

Activity 2 - Infographics

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Task 1

  1. Watch the video, What is an Infographic.

  2. Complete the quiz questions as you watch the video.

What is an Infographic + Downloadable Templates

Duration: 1:34

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Task 2

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Task 3

The following infographic, The rise of gaming revenue visualized from the Visual Capitalist website, should look familiar to you, as it was studied in Literacy Lesson 1. It shows the money made from video game development, starting with arcade games in the early 70’s through to cloud and VR games in 2020.

  • Use information from the infographic to complete the questions below.

  • Use the blue Check button and arrow at the bottom to move from question to question.

Activity 3 - MakeCode

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Task 1

  • Open the MakeCode game Rock, Paper, Scissors, SHOOT in a new tab by clicking on the image.

  • Play a couple of rounds against the computer.

Note: Use your mouse to click on the game controller pad to move through the options, including to move the 'pointer'.

Image link to Rock, paper, scissors, shoot game on Makecode arcade
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Task 2

  • Click on the Show Code tab in the MakeCode game Rock, Paper, Scissors, SHOOT from Task 1.

  • Look carefully at the programming code for the function WhoWon.

  • Can you backward map from code to an algorithm?

    • Write pseudocode or a flowchart for the function WhoWon, in your exercise book or folder.

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Task 3

Three people each have a tendency to lie 1/3 of the time. There is a coin flip that they all see. They all say it's 'heads'. What's the probability it is actually heads?

Want to check your written answers for Activity 2 Task 2 and Activity 3 Task 3?

Activity 2 Task 2

Note: Many of these questions ask for opinion, so you may not have the same answer.

Question 1:

In your opinion, is the Connected to Games infographic:

visually appealing?

shareable?

easy to understand?

Suggested answer:

In my opinion the Connected to Games infographic is somewhat visually appealing and easy to understand. The use of bright colours and colour coding helps me to understand it and draws my attention. However, I found it confusing to know where to start reading as there wasn’t a clear reading path. The infographic has lots of great information and I would share it if someone I knew was looking into games and connection. However, it doesn’t share a compelling insight that I feel eager to share with others.

Question 2:

Which infographic do you find more visually appealing?

Suggested answer:

I find the infographic, The 5 most popular video games in Australia, far more visually appealing than the other infographic. I find it more visually appealing because it is less cluttered and there is a clearer message. The bar graph helps me to understand the data and what is being compared.

Question 3:

Which infographic do you find easier to understand and why?

Suggested answer:

I find the infographic, The 5 most popular video games in Australia, easier to understand because it has the titles of games that I am familiar with. I don’t know all the categories of games that are mentioned in the other infographic so it doesn’t mean as much to me.

Question 4:

Do these infographics convey the same message? Justify your response with information from the infographics.

Suggested answer:

In some ways, these infographics do convey similar messages. The infographic ‘Popular Game Genres’ shows that action and adventure are 2 of the most popular genres of game. Similarly, the other infographic shows that games of this genre, like Fortnite, are the most popular.


Activity 3 Task 3

Question:

Three people each have a tendency to lie 1/3 of the time. There is a coin flip that they all see. They all say it's 'heads'. What's the probability it is actually heads?

Solution:

  • Each person has a 1/3 chance of telling a lie

  • Each person has 2/3 chance of telling the truth (1 minus 1/3)

  • All say heads so everyone is lying OR everyone is telling the truth

  • The probability that everyone is lying = 1/3 * 1/3 * 1/3 = 1/27

  • The probability that everyone is telling the truth = 2/3 * 2/3 * 2/3 = 8/27

  • The probability that it is actually heads = 8/27 divided by (8/27 + 1/27) = 8/9


Handing in your work

Don't forget to hand in the work you completed today!

  • Your teacher will have told you to do one of the following:

    • Upload any digital documents you created and any photos you took of your written work to your Learning Management system (MS Teams, Google Classroom for example).

    • Email any digital documents you created and any photos you took of your written work to your teacher.

Make sure you keep any handwritten work you did in your exercise book or folder as your teacher may need to see these when you are back in class.