Florida Grade 4 Math · Algebraic Reasoning

MA.4.AR.3.2: Patterns That Follow a Rule

What this Grade 4 benchmark means, worked examples, common mistakes, and a free printable worksheet.

Created by a Florida mom · Published by Tropical Learning LLC

What Is Benchmark MA.4.AR.3.2?

Students generate a number pattern from a given rule, describe it, and extend it, in math and real-world settings.

For example, the rule "add 14, starting at 5" generates 5, 19, 33, 47. Students also notice features of a pattern, such as whether the numbers are all odd or alternate odd and even.

Official benchmarkGenerate, describe and extend a numerical pattern that follows a given rule.

On the FAST test: part of the Grade 4 reporting category Number Sense and Operations with Whole Numbers, which is about 31–37% of the test.

Worked Examples

Worked Example 1

Multiplying Rule

Start at 3 and multiply by 3. Write the first four numbers.
  1. 11st: 3
  2. 22nd: 3 × 3 = 9
  3. 33rd: 9 × 3 = 27
  4. 44th: 27 × 3 = 81
Answer: 3, 9, 27, 81

Worked Example 2

Describe a Pattern

Start at 100 and subtract 15. Write the first four numbers and describe the pattern.
  1. 1100 − 15 = 85, 85 − 15 = 70, 70 − 15 = 55
  2. 2The numbers go down by 15 and alternate between ending in 0 and ending in 5.
Answer: 100, 85, 70, 55

Common Mistakes to Watch For

Using the wrong operation

Wrong:Start at 2 and multiply by 2: 2, 4, 6, 8

That pattern adds 2. Multiplying by 2 gives 2, 4, 8, 16.

Skipping the starting number

Wrong:Start at 5 and add 4. The first four numbers are 9, 13, 17, 21.

The starting number is the first number: 5, 9, 13, 17.

Helpful Math Tip

Look for real patterns, like saving the same amount each week or a plant growing a set amount, and make a table.

Related Grade 4 Skills

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Independent Educational Platform. FastChomp is published by Tropical Learning LLC and is not affiliated with, sponsored by, or endorsed by the Florida Department of Education. FAST and Star assessment names are referenced for informational purposes only. FastChomp practice questions are original educational materials, not official Florida FAST assessment questions.