Algebra Arithmetic with Polynomial Expressions – NC.M1.A-APR.1 Perform arithmetic operations on polynomials. Build an understanding that operations with polynomials are comparable to operations with integers by adding and subtracting quadratic expressions and by adding, subtracting, and multiplying linear expressions. Concepts and Skills The Standards for Mathematical Practices Pre-requisite Connections Add, subtract, factor and expand linear expressions (7.EE.1) Generally, all SMPs can be applied in every standard. The following SMPs can be Understand that rewriting expressions into equivalent can reveal other highlighted for this standard. relationships between quantities (7.EE.2) 7 Look for an make use of structure – Connections Disciplinary Literacy Rewrite expressions using the properties of exponents (NC.M1.N-RN.2) As stated in SMP 6, the precise use of mathematical vocabulary is the expectation Understanding the process of elimination (NC.M1.A-REI.5) in all oral and written communication. Rewrite a quadratic function to reveal key features (NC.M1.F-IF.8a) Students should be able to compare operations with polynomials to operations Building functions to a relationship (NC.M1.F-BF.1b) with integers. New Vocabulary: polynomial, quadratic expression Mastering the Standard Comprehending the Standard Assessing for Understanding Students connect knowledge of integer Students should be able to rewrite polynomial expressions using the properties of operations. operations to polynomial operations. Example: Write at least two equivalent expressions for the area of the circle with a radius of kilometers. At the Math 1 level, students are only Example: Simplify each of the following: responsible for the following operations: adding and subtracting quadratic expressions Example: The area of a trapezoid is found using the formula , where is the area, is the height, and and are the adding, subtracting, and multiplying lengths of the bases. linear expressions What is the area of the above trapezoid? (NCDPI Math I released EOC #33)
Algebra – Arithmetic with Polynomial Expressions NC.M1.A-APR.1 Perform arithmetic operations on polynomials. Build an understanding that operations with polynomials are comparable to operations with integers by adding and subtracting quadratic expressions and by adding, subtracting, and multiplying linear expressions. Concepts and Skills The Standards for Mathematical Practices Pre-requisite Connections Add, subtract, factor and expand linear expressions (7.EE.1) Understand that rewriting expressions into equivalent can reveal other relationships between quantities (7.EE.2) Generally, all SMPs can be applied in every standard. The following SMPs can be highlighted for this standard. 7 – Look for an make use of structure Connections Disciplinary Literacy Rewrite expressions using the properties of exponents (NC.M1.N-RN.2) Understanding the process of elimination (NC.M1.A-REI.5) Rewrite a quadratic function to reveal key features (NC.M1.F-IF.8a) Building functions to a relationship (NC.M1.F-BF.1b) As stated in SMP 6, the precise use of mathematical vocabulary is the expectation in all oral and written communication. Students should be able to compare operations with polynomials to operations with integers. New Vocabulary: polynomial, quadratic expression Mastering the Standard Comprehending the Standard Assessing for Understanding Students connect knowledge of integer operations to polynomial operations. At the Math 1 level, students are only responsible for the following operations: adding and subtracting quadratic expressions adding, subtracting, and multiplying linear expressions Students should be able to rewrite polynomial expressions using the properties of operations. Example: Write at least two equivalent expressions for the area of the circle with a radius of kilometers. Example: Simplify each of the following: Example: The area of a trapezoid is found using the formula , where is the area, is the height, and and are the lengths of the bases. What is the area of the above trapezoid? (NCDPI Math I released EOC #33)
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