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Objective: Estimate and represent the likelihood of different outcomes using fractions, decimals, and percentages.

Scenario:

You have a fruit basket containing:

4 apples

3 bananas

2 oranges

1 pineapple

1. Estimate Probabilities:

What is the total number of fruits in the basket?

Estimate the probability of randomly picking each type of fruit. Express your answers as fractions, decimals, and percentages.

2. Create Your Own Fruit Basket:

Imagine you can add two more types of fruits to the basket (e.g., grapes and strawberries). Choose how many of each type to add, and explain your choices.

Recalculate the total number of fruits and the probability of picking each type using fractions, decimals, and percentages.

3. Reflection:

Discuss how adding different types of fruits changed the probabilities.

If you were to conduct this experiment multiple times, how might the results vary?

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1. Research:

Investigate and find the heights of at least 5-10 famous buildings in Hong Kong. Some examples include:

International Finance Centre (IFC)

International Commerce Centre (ICC)

Bank of China Tower

The Center

Two International Finance Centre (2IFC)

2. Data Collection:

Record the names of the buildings along with their respective heights in meters.

3. Create a Pie Chart or Line Graph:

Option 1: Create a pie chart to represent the proportions of the total height contributed by each building.

Calculate the total height of all buildings combined.

Determine the percentage of the total height each building represents and illustrate this in the pie chart.

Option 2: Create a line graph showing the heights of the buildings.

Plot the buildings on the x-axis and their heights on the y-axis.

Questions to Answer:

1. What are the heights of the buildings you researched?

Present your data in a table before creating your chart.

2. What does your pie chart tell you about the distribution of heights among the buildings?

Which building contributes the most to the total height?

3. What trends do you notice in your line graph?

Are there any notable jumps in height, or do the buildings increase gradually?

4. If you were to include more buildings in your chart, how might that change your visual representation?

5. Discuss any interesting findings from your research.

Did you discover any buildings that surprised you in terms of height?

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Objective:

Design a fun and interactive probability game using dice, coins, cards, or any other materials. Your game should have clear rules, different winning conditions, and a way to calculate probabilities.

Instructions:

1. Choose Your Components:

Decide which materials you want to use in your game. You can choose from:

Dice (2 or more)

Coins (1 or more)

Cards (create a deck with different values or actions)

Any other items you can think of (e.g., marbles, tokens)

2. Define the Rules:

Outline the rules of your game. Consider the following:

How many players can participate?

How do players take turns?

What actions can players perform (e.g., roll dice, flip coins, spin)?

3. Set Winning Conditions:

Create different winning conditions. For example:

Achieve a certain score (e.g., total points from rolls).

Complete a specific sequence of actions (e.g., roll a double and land on a certain spinner section).

Collect a certain number of tokens or cards.

4. Calculate Probabilities:

For each winning condition, calculate the theoretical probability of achieving it. Use fractions, decimals, and percentages to express your findings:

How likely is it for a player to meet each winning condition?

Consider combinations of outcomes (e.g., rolling a specific number and getting heads).

5. Play test Your Game:

Gather some classmates or family members to play your game. Ensure the rules are clear and that everyone understands how to win.

6. Reflect on the Results:

After playing, discuss the following:

Did the outcomes match your probability calculations?

Were there any surprises or unexpected results?

How could you modify the game to make it more challenging or fun?

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Objective:
Engage in data collection and analysis to understand the preferences of your classmates.

Question:

Design a survey to determine your classmates' preferences in a specific category (e.g., favorite book genres, types of music, after-school activities, or snacks).

1. Data Collection:

Develop a list of options for your survey and collect responses from at least 20 classmates.

Record the data using a tally chart or a simple table.

2. Data Analysis:

Calculate the total number of responses for each option.

Create visual representations of your data, such as bar graphs or pie charts.

3. Interpretation:

What trends or patterns do you notice in the data?

Which option was the most popular, and which was the least?

Discuss any possible reasons for these preferences.

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Objective: Estimate and represent the likelihood of different outcomes using fractions, decimals, and percentages.

Scenario:

You have a mystery box filled with different colored marbles. There are:

5 red marbles

3 blue marbles

2 green marbles

1. Estimate Probabilities:

What is the total number of marbles in the box?

Estimate the probability of randomly drawing each colour of marble from the box. Express your answers as fractions, decimals, and percentages.

2. Create Your Own Scenario:

Imagine you can add two more colours of marbles to the box (e.g., yellow and purple). Choose how many of each colour to add, and explain your choices.

Recalculate the total number of marbles and the probability of drawing each colour using fractions, decimals, and percentages.

3. Reflection:

Discuss how adding different colors of marbles changed the probabilities.

How might the outcomes be different if you had a different number of marbles for each colour?

Time: You should spend about 10-15 minutes on this activity.