From Arithmetic to Algebra: Variables, Word Problems, Fractions and the Rules

CONTENTS OF CURRICULUM UNIT 17.05.08

  1. Unit Guide
  1. Content Objectives
  2. Teaching Strategies
  3. Classroom Activities
  4. Resources
  5. Appendix A
  6. Appendix B
  7. Appendix C
  8. Endnotes

Formulating Algebraic Equations from Word Problems

Rachelle Soroten

Published September 2017

Tools for this Unit:

Appendix B

Part-Part Whole Model Problems

“Put Together, Take Apart” Problem

Alyssa is baking a cake. The recipe calls for 8 cups of flour. She already put in 2 cups. How many more cups does she need to add?

“Add To/Take From” Problem

Tom received 80 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball, and bat. He had 39 dollars left over, how much did he spend on the baseball gear?

Comparison Model Problem

Bob ate14 crackers. Steve ate five fewer than Bob. How many did Steve eat?

Multiplication and Division Model Problem

At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $ 13 then what was the total bill?

Multiplicative Comparison Model Problems

The giraffe is 20 feet tall. The kangaroo is 5 feet tall. The giraffe is how many times taller than the kangaroo?

Combining Bar Models -Multistep Word Problems

Part-Whole Combination Problem

When ringing up a customer, a cashier needs 17 seconds to process payment as well as 4 seconds to scan each item being purchased. How long does it take to ring up a customer with 6 items?

Comparison Combination Problem

Jose has a board that is 44 inches long. He wishes to cut it into two pieces so that one piece will be 6 inches longer than the other. How long should the shorter piece be?  

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