Worked Example 1
Extend an Adding Pattern
The pattern 7, 14, 21, ... adds 7 each time. What is the 6th number?
- 11st: 7, 2nd: 14, 3rd: 21
- 24th: 21 + 7 = 28, 5th: 28 + 7 = 35
- 36th: 35 + 7 = 42
Answer: 42
Florida Grade 3 Math · Algebraic Reasoning
MA.3.AR.3.3: Number Patterns
What this Grade 3 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.3.AR.3.3?
Students identify, create, and extend number patterns that use addition, subtraction, multiplication, or division. They use ordinal numbers (1st, 2nd, 3rd, ...) to describe where a number is in the pattern.
The first step is finding the rule, such as "add 6" or "multiply by 2."
Official benchmarkIdentify, create and extend numerical patterns.
On the FAST test: part of the Grade 3 reporting category Number Sense and Additive Reasoning, which is about 23–29% of the test.
Worked Examples
Worked Example 2
A Subtracting Pattern
100, 92, 84, ... What is the 5th number?
- 1Find the rule: 100 − 92 = 8, so subtract 8.
- 24th: 84 − 8 = 76
- 35th: 76 − 8 = 68
Answer: 68
Common Mistakes to Watch For
Losing track of the position
Wrong:In 5, 10, 15, 20, the 3rd number is 20.
Count the positions: 1st is 5, 2nd is 10, 3rd is 15.
Using the wrong rule
Wrong:2, 4, 8, 16, ... The next number is 18, because the rule is add 2.
Check the rule with every pair: 2 to 4 to 8 to 16 doubles each time (× 2). The next number is 32.
Helpful Math Tip
Make a table with two rows: the position (1st, 2nd, 3rd...) and the number. This keeps the count straight and helps your child spot the rule.
Related Grade 3 Skills
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Start Practicing FreeIndependent 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.