Exploring Linear Growth

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Objective

I can identify linear growth in tables and graphs.

Part 1 of 4

Warm-up video

Khan Academy · 8:15Vetted channel

We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    A linear function has a constant change in y when x is incremented by a constant amount.

  2. 2

    A quadratic function has a constant change in the change of y when x is incremented by a constant amount.

  3. 3

    An exponential function has a constant multiplying factor when x increases by 1.

Part 3 of 4

Practice

11 questions

1

What is the defining characteristic of linear growth when examining a table of values?

2

In a table of values, the x-values increase by 2 each time. If the y-values increase by 5 each time, is the relationship linear? Explain.

Part 4 of 4

Exit ticket

Quick comprehension check

The table below shows values for x and y. Does the table represent a linear function? Explain why or why not. x y 1 5 2 8 3 11 4 14

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

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