Putting Essential Understanding of Ratios and Proportions into Practice in Grades 6-8

Do your students think they can model ratios with sets of discrete objects and combine them to show the addition of ratios? Do they believe that equivalent ratios are based on additive relationships rather than multiplicative ones? What tasks can you offer what questions can you ask to determine what your students know or don't know and move them forward in their thinking? This book focuses on the specialized pedagogical content knowledge that you need to teach ratios and proportions effectively in grades 6-8. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with ratios and proportions--not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts. Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of ratios and proportions. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning.

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• Putting Essential Understanding of Fractions into Practice in Grades 3-5 (Putting Essential Understanding Into Practice)
• Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics: Grades 6-8
• Mathematical Mindsets: Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching
• A Focus on Fractions (Studies in Mathematical Thinking and Learning Series)
• Differentiating Instruction in the Regular Classroom: How to Reach and Teach All Learners (Updated Anniversary Edition)
• Number Talks: Fractions, Decimals, and Percentages
• The Writing Strategies Book: Your Everything Guide to Developing Skilled Writers
• Making Sense of Mathematics for Teaching: Grades 6-8 (Unifying Topics for an Understanding of Functions, Statistics, and Probability)