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Cogito

Grade 5 Math · Chapter 8 · Lesson 4

Practice Worksheet

Patterns as Pairs

Two rules, plotted together.

10 problems · about 16 minutes · 5.OA.B.3, 5.G.A.2

NameDate

Figure — use these to answer the problems

Plot a pair from the two patterns and see where it lands.
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(3, 6)
From the first rule3
From the second rule6
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “The Coordinate Plane”

    In (6, 1), how far across do you go?

    Answer

  2. From “The Volume Formula”

    Volume of a 7 by 3 by 2 box?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. A adds 3, B adds 12, from 0. What is B when A is 9?

    Answer

  2. What do two patterns become when you pair their terms?

    • Points that can be plotted.
    • One longer pattern.

  3. A adds 2, B adds 6, from 0. What is B when A is 8?

    Answer

  4. A adds 4, B adds 8, from 0. What is B when A is 12?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. A adds 1, B adds 5, from 0. What is B when A is 7?

    Answer

  2. Do the plotted pairs fall in a straight line?

    • Yes.
    • No.

Stretch Yourself

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

2 problems

  1. The Two Rules

    Rule A adds 3, rule B adds 9, both from 0. What is B when A is 6?

    Answer

  2. The Relationship

    Rule A adds 5, rule B adds 10, both from 0. What is B when A is 20?

    Answer