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

CONTENTS OF CURRICULUM UNIT 17.05.03

  1. Unit Guide
  1. Introduction and Rationale
  2. Polya’s Method
  3. A Brief History of Singapore Math
  4. Model Method
  5. Whole Group Discussion
  6. Taxonomy of Word Problems
  7. Activities
  8. Sample Collection of Problems 
  9. Bibliography
  10. Additional Resources for Teachers and Students
  11. Appendix A: Implementing District and National Standards
  12. Common Core Standards
  13. Endnotes

Understanding Problems: Using Bar Models with Common Core Taxonomies

Valerie J. Schwarz

Published September 2017

Tools for this Unit:

Guide Entry to 17.05.03

Understanding Problems: Using Bar Models with Common Core Taxonomies explores how to combine the Singapore bar model approach to analyzing math word problems with the Common Core taxonomies for one-step arithmetic problems (addition/subtraction or multiplication/division). The curriculum unit focuses on the six main types: the change, compare, and part-part-whole situations for addition and subtraction; and the equal groups, compare, and array situations for multiplication and division. Through the use of Singapore bar models, Polya’s problem solving scheme, and group discussions, the unit is designed to build students’ understanding of word problems. This unit focuses on the single-step components that can be combined to create two-step and three-step problems. A point of emphasis is the connections between addition and subtraction, and likewise between multiplication and division. The pros and cons of the model method are also considered. The unit is designed for third grade students, but could be adapted for students in grades 3-8.

(Developed for Mathematics, grade 3; recommended for Mathematics, grades 3-8)

Comments:

Grace Laz

March 29, 2021 at 6:40 am

Can bar method be applied to complex word problems?

Hi. I am an educator to my 11 year old daughter. We has been using Singaporean math books for her year 5 and came across this bar method. Do you think the bar method can be applied to complex word problems? Thank you.

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