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Cogito

Grade 3 Math · Chapter 7 · Lesson 4

Practice Worksheet

Patterns and Explaining Them

Spotting a pattern is half. Saying why is the other half.

10 problems · about 13 minutes · 3.OA.D.9

NameDate

Figures — use these to answer the problems

Tap a square. Every square with the same total lights up.
Addition chart. Rows are the first number, columns are the second, and each cell is their total.
+012345
0
1
2
3
4
5
Figure 1
Step the rows up by one and watch the product grow by the row size.

4 × 6 = 24

Rows4
Columns6
Figure 2

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Two-Step Problems With All Four Operations”

    9 × 6 − 20 = ?

    Answer

  2. From “Equal Areas of a Shape”

    A shape split into 7 equal parts. What is the denominator of one part?

    Answer

  3. From “The Quadrilateral Family”

    How many sides does every quadrilateral have?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. The 9 times table goes 9, 18, 27. What comes next?

    Answer

  2. Why is spotting a pattern not enough?

    • Without a reason it might fail later.
    • Because it is slow.

  3. The 8 times table goes 8, 16, 24. What comes next?

    Answer

Build It Up

The same ideas with more to keep track of.

1 problem

  1. Is 6 + 8 odd or even?

    • Even
    • Odd

Stretch Yourself

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

3 problems

  1. Is 5 + 8 odd or even?

    • Odd
    • Even

  2. The Next One

    The 7 times table goes 7, 14, 21, 28. What comes next?

    Answer

  3. Odd and Odd

    Is 7 + 9 odd or even?

    • Even
    • Odd