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Understanding Expressions: Writing and Interpreting Algebraic and Verbal Forms

This lesson focuses on interpreting parts of algebraic expressions, including terms, factors, and coefficients. Students will learn to rewrite expressions using their structures and model mathematical problems. It covers key practices such as writing verbal expressions for algebraic forms and vice versa, along with practical examples. For instance, translating expressions like 8x² into "eight times x squared" and 9 plus the product of 2 and d into a numerical expression. Engage in understanding these concepts for effective problem-solving in mathematics.

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Understanding Expressions: Writing and Interpreting Algebraic and Verbal Forms

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  1. Splash Screen

  2. Content Standards A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients. A.SSE.2 Use the structure of an expression to identify ways to rewrite it. Mathematical Practices 4 Model with mathematics. CCSS

  3. You performed operations on integers. • Write verbal expressions for algebraic expressions. • Write algebraic expressions for verbal expressions. Then/Now

  4. algebraic expression • product • power • exponent • base • variable • term • factor Vocabulary

  5. Write Verbal Expressions A. Write a verbal expression for 8x2. Answer: eight times x squared Example 1

  6. Write Verbal Expressions B. Write a verbal expression for y5 – 16y. Answer: the difference of y to the fifth power and 16 times y Example 1

  7. A. Write a verbal expression for 7a4. A. 7 times a B. 7 times the product of 4 and a C. 7 times a to the fourth power D. 4 times a to the seventh power Example 1

  8. B. Write a verbal expression for x2 + 3. A. the sum of 3 and x B. the product of x squared and 3 C. the sum of x and 3 squared D. the sum of x squared and 3 Example 1

  9. KC

  10. c – 5 Write Algebraic Expressions A. Write an algebraic expression for 5 less than a number c. The words less than suggest subtraction. a number c less five Answer: Thus, the algebraic expression is c – 5. Example 2

  11. Write Algebraic Expressions B. Write an algebraic expression for 9 plus the product of 2 and d. Plus implies add, and product implies multiply. Answer: The expression can be written as 9 + 2d. Example 2

  12. Write Algebraic Expressions C. Write an algebraic expression for two fifths of the area a. The word of implies multiply. Example 2

  13. A. Write an algebraic expression for nine more than a number h. A. 9 – h B. 9h C. 9 + h D.h – 9 Example 2

  14. B. Write an algebraic expression for the difference of 6 and 4 times a number x. A. 6 – 4x B. (6 – 4) + x C. 6 + 4x D. 6x – 4 Example 2

  15. A.2p B. C.p2 D.p C. Write an algebraic expression for one half the size of the original perimeter p. Example 2

  16. Write an Expression ENTERTAINMENT Mr. Nehru bought two adult tickets and three student tickets for the planetarium show. Write an algebraic expression that represents the cost of the tickets. Let a be the cost of each adult ticket and c be the cost of each student ticket. The cost of the adult tickets is represented by 2a and the cost of the student tickets is represented by 3c. Answer:The cost of the tickets is represented by 2a + 3c. Example 3

  17. MONEY Lorenzo bought a bag of peanuts that cost p dollars and he gave the cashier a $20 bill. Write an expression for the amount of change that he will receive. A. 20 – p B.p – 20 C. 20 + p D. 20 p Example 3

  18. End of the Lesson

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