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:

Lesson 6 - Combination - These problems combines all the components of the unit for reinforcement.

Problem 1

Roger has twice as much money as Elaine. Together they have $84. How much does each have? (2x + x = 84 (Elaine: $28, Roger: $56))

Problem 1b

There are 850 students in Franklin High School. There are 30 more girls than boys. How many girls are there? ( x + (x+30) = 850 (440))

Expression Review - Write an expression for each verbal

1. Tyrone has some marbles. He puts x marbles in a bag. In all, he fills five bags, and then he has 3 marbles left over. How many marbles does Tyrone have?

Total number of marbles = 5x + 3

2. Jeff had $50. He gave $y to his son. The remainder was then shared equally between his two daughters. Express each daughter's share in terms of y.

Amount of money shared by the daughters = (50-y)/2

If y=12, how much money did each daughter receive? (19)

3. The admission fee to a bird park is $y. The admission fee to an amusement park is $1 more. Express the admission fee to the amusement park in terms of y. If the admission fee to the bird park is $8, find the admission fee to the amusement park.

Admission Fee for Amusement Park = y + 1 (9)

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