Maths Standard Year 11 - Module 1 - Lesson 9

Coordinates, Tables and Linear Patterns

Practise ordered pairs, constant differences and predicting values from linear tables.

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Date

Class

1. Key Ideas

An ordered pair is written as input first, output second.
Linear tables have constant output changes for equal input steps.
Increasing tables are not always linear.

2. Success Criteria

I can write ordered pairs from a table.
I can use differences to identify linear patterns.
I can predict values from a constant pattern.

3. Short Answer Questions

1. Write the ordered pairs for this table. 2 marks

Input	0	1	2	3
Output	8	13	18	23

2. Is the table in Question 1 linear? Explain using differences. 2 marks

3. A distance table shows 0, 90, 180, 270 km for times 0, 1, 2, 3 h. Predict the distance at 5 h. 3 marks

4. Outputs are 1, 4, 9, 16 for inputs 1, 2, 3, 4. Explain why this table is not linear. 2 marks

5. A savings table is 50, 65, 80, 95 for weeks 0, 1, 2, 3. Predict week 4 and explain. 3 marks