4oa5 Worksheets
Operations and Algebraic Thinking
5 Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.
4oa5
4oa5
Find the area of a grid by counting square units. Notice how a shape or grid is growing from one step to the next. Use the pattern to predict the area of the next shape in the sequence.
4oa5
Multiply a two-digit number by a two-digit number to find the product. Use place value to keep tens and ones lined up correctly while multiplying. Solve word problems that involve multiplying two two-digit numbers.
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Figure out the rule that connects the input and output numbers in a table. Check that the same rule works for every row in the table.
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Figure out the rule in a number pattern that goes up or down by the same amount each step. Choose the next number that correctly continues an addition or subtraction pattern. Spot when a number does not fit the pattern and pick the option that does.
4oa5
Create your own number pattern by adding or subtracting the same amount each time. Use the rule to figure out a missing number later in the pattern. Explain the pattern rule in words or as a simple math sentence (like “add 3 each time”).
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Figure out what number is being added or subtracted by looking at an input and its output. Use addition and subtraction facts within 50 to check which rule makes the outputs match. Choose the correct rule from a few options by testing it on the numbers shown.
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Figure out what a function machine is doing by looking at the input and output numbers. Use addition and subtraction to find the rule that changes one number into another.
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Spot what stays the same and what changes in a number pattern.
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Find the missing number in a sequence by spotting what changes each step. Figure out whether a pattern is using addition, subtraction, multiplication, or division. Use the pattern rule to keep the sequence going and check that it stays consistent.
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Figure out whether a number pattern is going up by adding or going down by subtracting. Use the change between numbers to identify the rule in a sequence. Choose which rule matches a given pattern when there are several options.
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Figure out what operation is happening in a number pattern (add, subtract, multiply, or divide). Explain the pattern rule in simple words, like “add 3 each time.” Check that a rule works for every step in the pattern, not just one pair of numbers.
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Figure out which shape or picture comes next in a repeating pattern. Find the missing picture in the middle of a visual sequence. Use the pattern rule to choose the correct answer from a set of options.
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Spot the rule that makes each dot pattern grow or change Predict what the next picture in a pattern should look like Count dots carefully to check that a pattern is correct Explain how a pattern changes from one step to the next
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Figure out the rule a number pattern follows Predict the next number in a sequence Use a pattern to continue a table of values Read word problems to identify how numbers change
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Match a single operation rule to the input/output table it produces. Test a rule against every row of a table, not just the first. Recognize that one row alone can fit more than one rule.
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Describe a growing pattern of squares with a single operation rule. Count the squares in each figure before choosing a rule. Test a rule against every figure, not just the first two.
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Figure out the rule that changes an input number into an output number. Choose which operation and number make the rule work for all the examples in a table.
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Figure out what operation (add, subtract, multiply, or divide) changes one number into the next in a pattern. Compare answer choices and pick the rule that matches all the numbers in the pattern.
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