Ratio, Rate, Proportion
Develop understanding of proportional relationships before teaching computational procedures.
Proportional thinking—understanding multiplicative relationships between quantities—is essential for more advanced work in mathematics. Teachers should develop students’ understanding of proportional reasoning before teaching the cross-multiplication algorithm as a procedure for solving proportions. Teachers can make connections among problem contexts involving ratios, rates, and proportions, and discuss which ones can be solved most easily with cross-multiplication.
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Learning Together About Teaching Rations and Proportional Reasoning
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Overview
Developing Effective Fractions Instruction for K-8
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Ratio: Warm Up Activity
Students use counters or blocks to work out their responses to three problems and then represent their answers as shown in Cross-Multiply? Not So Fast. Related Media and...
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Fraction Strip Game: Cover Up
A third-grade teacher uses this game to help students understand unit fractions and equivalences. Students work in pairs, following instructions to play two variations of the game. Making and Using...
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Visual Diagram: Fractions Instruction
This diagram serves as a visual overview of the recommended instructional practices for teaching fractions in elementary and middle school, along with information on the knowledge teachers need to...
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The Importance of Fractions Instruction
Dr. Siegler discusses why competence with fractions is critical for more advanced math and why U.S. students have difficulty grasping fractions. He also describes the developmental sequence that...
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Focus on Fraction Operations
This PowerPoint covers the content of a staff development session for math coaches and teachers about how to teach fraction operations. Multiply or Divide? shows a portion of the workshop in which...