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3oa9 Worksheets

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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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.

3oa9 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.

3oa9 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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