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Variables and Relationships

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Variables and Relationships

Variables and relationships illustration

🎯 WALT (We Are Learning To)

Today we are learning to:

  • Identify variables in real-life situations
  • Understand how two variables relate to each other
  • Create tables of values and plot relationships on graphs

📊 Part 1: Identifying Variables

1. Circle the variables (things that can change) in each situation:

a) The cost of petrol depends on how many litres you buy.

Variables: cost of petrol / number of litres / petrol station name

b) Your phone battery percentage decreases as you use apps.

Variables: battery percentage / phone colour / time using apps

2. Match each real-life situation with its variables:
Temperature outside and layers of clothing
Hours of study and test scores
Speed of car and travel time
As one increases, the other decreases
As one increases, the other increases
As one decreases, the other increases
3. Sarah is saving money. She starts with $20 and saves $5 each week.

a) What are the two variables? _____________ and _____________

b) Complete the table:

Week01234
Total Money ($)20________________

📈 Part 2: Tables and Relationships

4. A mobile phone plan costs $30 per month plus $2 for each gigabyte of data used.

a) Complete the table:

Data Used (GB)01235
Total Cost ($)____________________

b) What happens to the total cost when data usage increases?

5. Look at this pattern of growing squares:

Pattern 1: 1 square, Pattern 2: 4 squares, Pattern 3: 9 squares, Pattern 4: 16 squares

a) Complete the table:

Pattern Number12345
Number of Squares14916____

b) Describe the relationship between pattern number and number of squares:

6. A taxi charges $4.50 to start, then $2.20 per kilometre.

Write the missing values:

  • 0 km costs: $______
  • 1 km costs: $______
  • 2 km costs: $______
  • 5 km costs: $______

🎯 Success Check

7. Tick the boxes to show what you can do today:

I can identify variables in real-life situations

I can create a table of values from a pattern or rule

I can describe how changing one variable affects another

I understand that variables have relationships

8. Create your own example:

a) Think of a real-life situation with two variables:

b) Describe how they relate to each other:

9. Reflection: What was the most interesting thing you learned about variables today?

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