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The Order Of Operations

This unit explores why the order of operations is essential in solving math problems and when it is important to complete the steps in the correct order. It aligns with the TEKS 7th Grade Mathematics standards and covers topics such as comparing numbers, converting between different forms, using models for calculations, solving problems with fractions and decimals, and determining the reasonableness of solutions. The unit also includes resources to further support learning.

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The Order Of Operations

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  1. The Order Of Operations LaShawn Ricks

  2. Unit Question • Why use the order of operations? • What types of problems require you to use the order of operations? • Why is it important to complete the step in the correct order?

  3. TEKS: 7th Grade Mathematics • (b)  Knowledge and skills. • (7.1)  Number, operation, and quantitative reasoning. The student represents and uses numbers in a variety of equivalent forms. • The student is expected to: • (A)  compare and order integers and positive rational numbers; • (B)  convert between fractions, decimals, whole numbers, and percents mentally, on paper, or with a calculator; and • (C)  represent squares and square roots using geometric models. • (7.2)  Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. • The student is expected to: • (A)  represent multiplication and division situations involving fractions and decimals with models, including concrete objects, pictures, words, and numbers; • (B)  use addition, subtraction, multiplication, and division to solve problems involving fractions and decimals; • (C)  use models, such as concrete objects, pictorial models, and number lines, to add, subtract, multiply, and divide integers and connect the actions to algorithms; • (D)  use division to find unit rates and ratios in proportional relationships such as speed, density, price, recipes, and student-teacher ratio; • (E)  simplify numerical expressions involving order of operations and exponents; • (F)  select and use appropriate operations to solve problems and justify the selections; and • (G)  determine the reasonableness of a solution to a problem.

  4. Da Rules…. • The problem must ALWAYS be done from left to right!! • The operations in parenthesis are done first • Next are any operations with exponents • Multiplication and division from left to right • Addition and subtraction from left to right.

  5. Please Excuse My Dear Aunt Sally • P: Parenthesis • E: Exponents • M: Multiplication • D: Division • A: Addition • S: Subtraction

  6. REMEMBER..…MATH IS FUN!!!!

  7. Resources • http://www.learnnc.org/lp/pages/3151 • http://www.tea.state.tx.us/rules/tac/chapter111/ch111b.html • http://math.about.com/library/weekly/aa040502a.htm

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