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Understanding Order of Operations in Algebra: PEMDAS Simplified

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This lesson focuses on the fundamental concept of the order of operations in algebra, emphasizing the significance of utilizing the PEMDAS acronym to simplify expressions accurately. Students will learn how to evaluate numerical and algebraic expressions by following the correct sequence of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Through practice problems and group activities, students will enhance their mathematical skills, translating word phrases into mathematical expressions while understanding the importance of order in calculations.

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Understanding Order of Operations in Algebra: PEMDAS Simplified

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  1. Algebra 1.6 Order of Operations

  2. Learning Targets Language Goal • Students will be able to explain the importance of order of operations. Math Goal • Students will be able to use order of operations to simplify expressions. Essential Questions • What is the significance of order of operations?

  3. Warm-up

  4. Homework Check

  5. Homework Check

  6. Review Practice Problems

  7. Vocabulary • Order of Operations: Tells you which operation to perform first. Gives you the order to use to solve a multi-operation problem

  8. Order of Operations • P • E • M • D • A • S Parenthesis ( ) Saying Please Excuse My Dear Aunt Sally Exponents Multiplication x > From left to right Division ÷ Addition + > From left to right Subtraction

  9. Simplifying Numerical Expressions 1.

  10. Simplifying Numerical Expressions 2.

  11. Simplifying Numerical Expressions 3.

  12. Simplifying Numerical Expressions Your Turn: 1. 2.

  13. Evaluating Algebraic Expressions • Evaluate each expressions for the given value of x. 21 – x +2 • 5 for x = 7 for x = 24

  14. Evaluating Algebraic Expressions Your Turn! for x = 2 for x = 6

  15. Simplifying Expressions (grouping symbols) • Absolute values: treat like parenthesis • Division: treat the numerator like it is in parenthesis and the denominator like it is in parenthesis

  16. Simplifying Expressions (grouping symbols) 1. 2.

  17. Simplifying Expressions (grouping symbols) 3. 4.

  18. Simplifying Expressions (grouping symbols) 5.

  19. Simplifying Expressions (grouping symbols) • Your Turn! 1. 2.

  20. Translating from Words to Math • Translate each word phrase into a numerical or algebraic expressions. • One half times the difference of -5 and 3 • The square root of the quotient of -12 and n

  21. Translating from Words to Math Your turn! • The sum of the quotient of 12 and -3 and the square root of 25. • The difference of y and the product of 4 and

  22. Whiteboard • Extra Whiteboard practice!

  23. Rally Coach Practice

  24. Lesson Quiz

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