📊 Part 1: Pattern Tables

1. Look at this pattern table and identify the rule:

Pattern A:

Position 1: 4 blocks | Position 2: 7 blocks | Position 3: 10 blocks | Position 4: 13 blocks

The rule in words: _________________________________________________

2. Complete this pattern table:

Pattern B:

Position 1: 5 objects | Position 2: 8 objects | Position 3: _____ objects | Position 4: _____ objects | Position 5: _____ objects

3. What is the constant change in Pattern B?

📈 Part 2: Making Conjectures

4. Using Pattern A from above, predict the 10th element:

The 10th element will have _______ blocks because _________________________________

5. Circle the correct statement about linear patterns:

Linear patterns always increase by the same amount

Linear patterns can only use addition

Linear patterns show constant change between consecutive elements

Linear patterns never form straight lines on graphs

🎨 Part 3: Visual Patterns

6. Draw the next two terms in this growing pattern:

Pattern: Term 1: ● | Term 2: ●● | Term 3: ●●●

Term 4: _________________ | Term 5: _________________

7. Create your own linear pattern using shapes or symbols:

8. Describe your pattern's rule in words:

✅ Part 4: True or False

9. Mark each statement as True or False:

True

False | If position 3 has 12 objects and the rule is "add 3", then position 4 has 15 objects

True

False | Linear patterns always start with the number 1

True

False | The equal sign (=) means "the same as"

True

False | You can predict any element in a linear pattern if you know the rule

🔢 Part 5: Mathematical Language

10. Match the mathematical terms with their meanings:

1. Element

2. Position

3. Rule

4. Term

A. The ordinal number showing where something is in a sequence

B. Each individual item in a pattern

C. The description of how a pattern changes

D. Another word for an element in a pattern

🧮 Part 6: Problem Solving

11. A kapa haka group is arranging themselves in rows. Row 1 has 6 people, Row 2 has 9 people, Row 3 has 12 people. If this pattern continues, how many people will be in Row 6?

12. Explain your thinking:

13. Write a number sentence that shows the relationship for Row 4:

Row 4: _______ = _______ + _______

Linear Patterns Exploration

Linear Patterns Exploration

📊 Part 1: Pattern Tables

📈 Part 2: Making Conjectures

🎨 Part 3: Visual Patterns

✅ Part 4: True or False

🔢 Part 5: Mathematical Language

🧮 Part 6: Problem Solving

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

More Maths Worksheets

Year 8 Maths Challenge

Year One English & Maths

Coding and Maths Exploration

ALIM Maths Acceleration Agenda

Everyday Money Maths

Year 4 Maths Placement Test

Migration Maths Journey

Functional Skills Maths Revision

Explore more free resources