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Solve It! Lemon Tea?

little problems with big solutions

Sherry L. Bair

To elicit creative student thinking, this open-ended problem asks solvers to calculate mixtures of lemon and tea.

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Sarah B. Bush, Karen S. Karp, Jennifer Nadler, and Katie Gibbons

By examining ratios in paintings and using a free educational app, students can size up artists' use of proportional reasoning in their creations.

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Sherry L. Bair and JoAnn Cady

Solutions to a November 2013 Solve It problem are discussed, and the procedures used with problem solving are explored.

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Joe Champion and Ann Wheeler

A classic manipulative, used since the 1960s, continues to offer opportunities for intriguing problem solving involving proportions.

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Kimberly A. Markworth

This feline-rodent problem helps preservice teachers go beyond the cross-multiplication algorithm to think about proportional relationships.

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Jill A. Cochran

An outdoor context can reel in two important mathematical ideas and catch students' misconceptions in the process.

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Victor Mateas

Teachers can benefit from productive and manageable suggestions to align instruction to the intention of the Common Core's Standards for Mathematical Practice.

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Jessica S. Cohen

Use strip diagrams to model and solve problems requiring proportional reasoning.

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Wendy P. Ruchti and Cory A. Bennett

Solutions coupled with drawings can illustrate students' understandings or misunderstandings, particularly in the area of proportional reasoning.

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Kara L. Imm and Meredith D. Lorber

By exploring an open-ended investigation involving proportional reasoning, students were able to walk through both problem solving and modeling.