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:

STUDENTS RESOUCRES

Each of these books was reviewed and discussed in the seminar. It was agreed that they will be excellent resources for teachers as well as students. They support literacy while applying mathematical skills.

Anno, Mitsumasa. (1995). Anno's Magic Seeds. New York: Philomel Books.

A wizard gives Jack two golden seeds and directs him to eat one and bury the other. He promises it will grow and give 2 more magic seeds in the fall. Jack does as he is told, and the cycle repeats for a number of years, until Jack decides to bury both seeds. The tale of exponential growth is discovered as Jack buries more and more seeds. The math tale becomes even more rigorous as Jack marries, has a child, begins to store some seeds and sell others... until a hurricane wipes out the crops and Jack must begin all over again.

Axelrod. Amy. (1994). Pigs will be Pigs: Fun with Math and Money. New York: Simon

and Schuster Books for Young Readers.

After gobbling up all the groceries, Mr. Pig, Mrs. Pig and their two piglets are hungry again, but the Piggy bank is empty. The Pigs turn their house upside down looking for spare change so that they can go out to dinner. Readers are meant to keep a tally of the dimes and nickels the Pigs locate. Finally, after finding a grand total of $34.67, the Pigs spend almost all of it at a Mexican restaurant and readers can calculate the tab by reading a menu.

Burns, Marilyn. (1997). Spaghetti and Meatballs for All: A Mathematical Story. New

York: Scholastic.

Mrs. and Mr. Comfort are throwing a dinner party for their family. They find out there will be 32 people. They arrange 8 tables with 4 chairs each. The problem arises when the families begin to arrive and want to sit together. They begin pushing the tables together to make one big table. As more and more guests arrive, the families continue to rearrange the tables so everyone can sit together. Of course throughout this time Mrs. Comfort is getting very distraught because she knows that if the tables are pushed together there will not be a seat for everyone. The story continues with more arrangements of the tables until eventually the tables start being pulled apart as the rest of the family arrives. In the end the tables again end up as 8 tables with 4 chairs each, just as Mrs. Comfort had originally set.

Demi. (1997). One Grain of Rice: A Mathematical Folktale. New York: Scholastic.

It's the story of Rani, a clever girl who outsmarts a very selfish raja and saves her village. When offered a reward for a good deed, she asks only for one grain of rice, doubled each day for 30 days. That's lots of rice: enough to feed a village for a good long time—and to teach a greedy raja a lesson.

Lewis, J. Patrick. (2002). Arithmetickle: An Even Number of Odd Riddle-Rhymes. San

Diego: Harcourt.

This book offers a variety of clever math riddles with titles like "Finger Play" (which teaches a nifty trick for multiplying by nine) and "Your Average Cow," which asks kids to compare bovine and human life expectancies. Answers appear (upside-down) below each entry.

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