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Cogito

Grade 8 Math · Chapter 6 · Lesson 4

Practice Worksheet

Reading a Graph as a Story

Rising, falling, flat.

10 problems · about 18 minutes · 8.F.B.5

NameDate

Figure — use these to answer the problems

Set the slope. Positive rises, negative falls, nought stays flat.
-10-10-5-5551010
y = 0x + 5
Slope0
Starting value5
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Rate of Change and Starting Value”

    Through (0, 7) and (3, 19). What is the rate?

    Answer

  2. From “Linear and Nonlinear Functions”

    4, 10, 16, 22. Constant rise?

    Answer

  3. From “What a Function Is”

    Rule "multiply by 4 then add 1". What comes out when 5 goes in?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. A distance graph falls steadily. Is the person moving away or back? 1 for away, 2 for back.

    Answer

  2. A rising graph means the quantity is increasing. 1 for yes, 0 for no.

    Answer

  3. Does a flat section mean the quantity is nought? 1 for yes, 0 for no.

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. A slope of −3 means rising or falling? 1 for rising, 2 for falling.

    Answer

  2. A slope of 0. Is the graph flat? 1 for yes, 0 for no.

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. The Flat Part

    On a distance graph, a flat section means the speed is what?

    Answer

  2. The Steeper Line

    Of slopes 2 and 5, which section is changing faster? Give the number.

    Answer