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Creating Tables of Values

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Creating Tables of Values

Function machine with x and y values

🎯 WALT: We Are Learning To...

Generate tables of values from linear equations and understand the relationship between variables

📋 Success Criteria:

✓ I can substitute values into linear equations
✓ I can create accurate tables of values
✓ I can identify patterns in my tables
✓ I can explain what my table shows about x and y

🔢 Part 1: Building Your First Table

1. Complete this table for the equation y = 2x + 1

Remember: Replace x with each number, then calculate y

x 0 1 2 3 4
y = 2x + 1 ____ ____ ____ ____ ____
2. Show your working for x = 2:
3. What pattern do you notice as x increases by 1?

y increases by 1

y increases by 2

y stays the same

y decreases by 2

4. Complete this table for y = 3x - 2
x -1 0 1 2
y = 3x - 2 ____ ____ ____ ____

💭 Part 2: Thinking About Patterns

5. Look at your table from Question 4. What happens to y when x increases by 1?
6. Real-world connection: If y = 5x + 10 represents the cost in dollars for hiring a bike (where x is hours), complete this table:
Hours (x) 1 2 3 4
Cost ($) ____ ____ ____ ____
7. How much does the cost increase each hour? $______
8. Challenge: Create your own linear equation and make a table with 4 values

My equation: y = ________________

x ____ ____ ____ ____
y ____ ____ ____ ____
9. Reflection: In your own words, explain what a table of values shows us about the relationship between x and y.

🌟 Differentiation Support

Need help? Remember the steps:

1. Replace x with the number
2. Follow the order of operations
3. Calculate to find y

Ready for more? Try negative x values or create a story problem for your equation!

Dyslexia-friendly tip: Use different colours for x and y values, or cover other questions while working on one.

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