Keeping the Meaning in Mathematics: The Craft of Word Problems

CONTENTS OF CURRICULUM UNIT 07.06.07

  1. Unit Guide
  1. Rationale
  2. Strategies
  3. Ice -Breaker - I
  4. Lesson One - Notation Development (whole class discussion)
  5. Lesson Two - Simplifying Expressions
  6. Lesson Three - Translations of Verbal Descriptions (addition/subtraction)
  7. Lesson Four - Translations of Verbal Descriptions (multiplication/division)
  8. Lesson Five - Distributive Property
  9. Lesson 6 - Combination - These problems combines all the components of the unit for reinforcement.
  10. Lesson Seven - Application and Reinforcement
  11. Appendix 1 - ALGEBRAIC OPERATIONS
  12. BIBLIOGRAPHY FOR TEACHERS
  13. STUDENTS RESOUCRES
  14. Classroom Material
  15. Implementing District Standards

Linear Expressions and Evaluations

Angel Johnson

Published September 2007

Tools for this Unit:

Ice -Breaker - I

Students will work in small collaborative groups and create a list of "common language words" for addition, subtraction, multiplication, and division. The whole class will reconvene and through discussions each group will add any words that are omitted from their list. Some common language words have different meanings depending on the content of the questions. To ensure that students understand this, the following exercise will be presented. The emphasis will not be on solving the problems but the operations and wording.

Problem 1:

  • a) Andy has 38 videotapes. His friend Roger has 27 videotapes. How many more video tapes does Andy have than Roger? (11 videotapes)
  • b) Toni has 21 beads. Her friend Zora has 6 beads. How many more beads does Toni have than Zora? (15 beads)

Generally, the word "more" suggests addition. However, in this problem set the operation is subtraction.

Problem 2:

  • a) A watch costs $167. A camera costs $48 more than the watch. What is the cost of the camera? ($215)
  • b) My old pogo-stick record was 349 jumps. Today I made 532 more jumps than that. What's my new Pogo-stick record? (881 jumps)

In these problems, the word "more" implies addition. Appendix II has more problems that address this issue.

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