📊 Part 1: Recognising Linear Patterns

1. Look at this pattern: 4, 7, 10, 13, 16, _____, _____

What are the next two terms? _______ and _______

What is the rule for this pattern? _________________________________

2. Complete this table for the pattern that starts at 5 and increases by 3 each time:

Position: 1 → Term: 5

Position: 2 → Term: _____

Position: 3 → Term: _____

Position: 4 → Term: _____

Position: 5 → Term: _____

3. Which of these shows a linear pattern?

2, 4, 8, 16, 32

3, 6, 9, 12, 15

1, 4, 9, 16, 25

10, 8, 6, 4, 2

4. True or False: In a linear pattern, the difference between consecutive terms is always the same.

True

False

📈 Part 2: Creating Tables and Graphs

5. Create your own linear pattern that starts at 6 and has a constant rate of change of +4.

Position 1: _____

Position 2: _____

Position 3: _____

Position 4: _____

Position 5: _____

6. Using your pattern from question 5, plot the points on a graph below. Draw the x-axis for Position and y-axis for Term value.

7. Write the rule for your pattern in words:

8. Form a number sentence to check if your pattern is correct for position 3:

Starting number + (Position × Rate of change) = Term

_____ + (_____ × _____) = _____

🧮 Part 3: Problem Solving

9. Sarah is saving money. She starts with $8 and saves $5 each week. How much money will she have after 6 weeks?

Answer: $ _________

10. Look at this table. What is the rule, and what would be the term for position 10?

Position: 1 → Term: 12

Position: 2 → Term: 15

Position: 3 → Term: 18

Position: 4 → Term: 21

Rule: _________________________________________________

Position 10 term: _________

11. True or False: The equation 7 + 4 = 12 - 1 shows equality.

True

False

Explain your answer: _________________________________

Linear Patterns and Graphs

Linear Patterns and Graphs

📊 Part 1: Recognising Linear Patterns

📈 Part 2: Creating Tables and Graphs

🧮 Part 3: Problem Solving

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