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CCSS 3.OA.9 Worksheets

CCSS 3.OA.9 (Common Core, 3rd Grade): "Identify arithmetic patterns (including patterns in the addition table or multiplication table], and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends." The worksheets below practice this standard. Each one is a free printable PDF with an answer key, comes in multiple versions, and can also be assigned digitally - no login or account needed.

Operations and Algebraic Thinking Solve problems involving the four operations, and identify and explain patterns in arithmetic. 9Identify arithmetic patterns (including patterns in the addition table or multiplication table], and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.

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3oa9

CCSS 3.OA.9 Worksheets - Finding the Missing Number in an Arithmetic Pattern worksheet

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Finding the Missing Number in an Arithmetic Pattern

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Identify the rule of an arithmetic pattern from the given terms.
Find a missing number anywhere in a pattern, not just at the end.
Work with patterns that increase or decrease by a constant amount.

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CCSS 3.OA.9 Worksheets - Examining a Multiplication Table worksheet

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Examining a Multiplication Table

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Use a multiplication table to find the product of two numbers.
Look for patterns across rows and columns, like skip-counting by a number.
Notice how switching the factors gives the same product (like 3×6 and 6×3).
Explain why certain products repeat or line up in the table.

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CCSS 3.OA.9 Worksheets - Determining Function Machine Rule (+ or -) worksheet

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Determining Function Machine Rule (+ or -)

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Use a few input-output examples to spot a consistent pattern and write the rule.
Check that the rule works by testing it on another input-output pair.

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CCSS 3.OA.9 Worksheets - Determining Function Machine Rule (+ or -) (MC) worksheet

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Determining Function Machine Rule (+ or -) (MC)

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Figure out what number is being added or subtracted to turn each input into the output.
Use a few input-output examples to spot a consistent pattern and name the rule.
Check that the same rule works for every pair in the table before choosing an answer.
Tell the difference between an “add” rule and a “subtract” rule by comparing inputs and outputs.

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CCSS 3.OA.9 Worksheets - Determining Function Machine Rule (+ - x) worksheet

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Determining Function Machine Rule (+ - x)

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Find the rule that turns each input number into its output number
Test whether a rule uses adding, subtracting, or multiplying
Check a rule by applying it to all the numbers in the table
Recognize patterns between pairs of numbers

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