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

CONTENTS OF CURRICULUM UNIT 17.05.09

  1. Unit Guide
  1. Overview
  2. Rationale
  3. Context
  4. Mathematics Background
  5. Teaching Strategies
  6. Classroom Activity
  7. Appendix 1 Implementing District Standards
  8. Notes
  9. Bibliography

Making Sense of Solving Equations Through Word Problems

Sally Yoo

Published September 2017

Tools for this Unit:

Appendix 1 Implementing District Standards

California Common Core State Standards for Math (CA CCSS) (13)

8. EE7b Solve linear equations with rational number coefficients, including equations whose solution requires expanding expressions using the distributive property and collecting like term.

Mathematical Practices (14)

1. Make sense of problems and persevere in solving them.

Students solve real world word problems.

2. Reason abstractly and quantitatively

Students verify the solution of the algebraic equation, and check that it makes sense in the context of the word problem.

3. Construct viable arguments and critique the reasoning of others.

Students analyze and compare the context in the word problem with the features in the equation and are able to explain the connection.

4. Model with mathematics.

Students construct algebraic equations to model word problems.

5. Use appropriate tools strategically

Students use different approaches to solve the word problems including guess and check, computation, illustrations, direct reasoning, defining variables, and writing equations, and more

6. Attend to precision.

Students define variables carefully and completely, including specifying the units.

7. Look for and make use of structure.

Students look for structure in the equations, to use proper rules to simplify and solve the equations.

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