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7-A-4-2

Page history last edited by Brenda Butz 6 years, 2 months ago

7.A.4.2 Apply understanding of order of operations and grouping symbols when using calculators and other technologies.

In a Nutshell

Simple four function calculators without +/- are used in 7th grade math. Time-consuming calculations can be performed with ease; however, limits exist with the use of technology. For example, four-function calculators will only perform operations in the order of input so rules for order of operations must be considered.

Student Actions	Teacher Actions
Students develop procedural fluency as they apply their logic of order of operations when using technology. Develop a productive mathematical disposition as students use technology in mathematics and recognize the limits that exist. Develop the ability to make conjectures, model and generalize through the use of technology by looking for patterns and extending those patterns.	Implement tasks that promote reasoning and problem solving of order of operations. Facilitate meaningful mathematical discourse while implementing technology to check students understanding of grouping symbols and the order of operations. Elicit and use evidence of student thinking by encouraging students to communicate their strategies and process even though they are using technology.
Key Understandings	Misconceptions
Grouping symbols include parentheses, brackets, and fraction bars. Order of operations must be followed inside all grouping symbols first, all exponents must be evaluated, then all multiplication and division from left to right and finally all addition and subtraction from left to right. Recognizing that addition and subtraction are inverse operations, the order in which they appear in the equation does not matter. Both are evaluated from left to right as they appear. Recognizing that multiplication and division are inverse operations, the order in which they appear in the equation does not matter. Both are evaluated from left to right as they appear. Order of operations must be followed even when using technology. Calculators are useful for speed and to check work but do not use order of operations.	Students may think problems are solved left to right every time. Students may think that calculators will automatically compute expressions in the proper order without the proper grouping symbols. Students may think parentheses are the only type of grouping symbols. Students may think all multiplication is done before all division. Students may think all addition is done before all subtraction. Students may think operations inside grouping symbols are done left to right rather than following order of operations.