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3-A-1-2

Page history last edited by Tashe Harris 6 years, 2 months ago

3.A.1.2 Describe the rule (single operation) for a pattern from an input/output table or function machine involving addition, subtraction or multiplication.

In a Nutshell

As students are extending patterns using addition, they will find the rule. Students will describe the rule by explaining the pattern in the input/output situation. They will understand that the input relies on the output and vice versa. The relationship between addition and subtraction will be highlighted as students move between the input and output to complete the pattern. They will also challenge their thinking as they discover that the rule may involve multiplication as well.

Student Actions	Teacher Actions
Communicate mathematically when describing patterns and identifying rules for patterns. Develop a deep, conceptual understanding of numeric relationships by determining the rule for an input/output situation. Demonstrate mathematical reasoning when analyzing the relationship of how the numbers relate to one another when determining the rule. Make conjectures when justifying the number that belongs in the function machine or input/output table based on the rule.	Implement tasks that elicit students’ thinking about patterns found in function tables and machines. Pose purposeful questions to help students recall prior knowledge and justify their thinking. Questions may include: How do the numbers relate to one another? Does the rule apply to each set of numbers in the input/output table? Is there another rule that you thought might fit but ended up not being valid? Facilitate mathematical discourse as students describe and identify patterns.
Key Understandings	Misconceptions
Input and output values are related. The input and output will help the students to develop the rule of the pattern. The rule helps them extend the pattern in an input/output table.	Input and output values are not related. Looking at only the input will help them find the rule to the pattern. The rule to an input/output table is not related to extending the pattern. They only need to look at the first set of input and output values when determining the rule of a function table. For example, Students may think that the rule is “add 4” based on the first row.