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Teaching Ratios, Proportions and Proportional Reasoning 6–8

Get a deeper understanding of Ratios and Proportions with our concise and comprehensive Go-To Guide.

Based on Developing Essential Understanding of Ratios, Proportions, and Proportionality and Putting Essential Understanding of Ratios and Proportions into Practice, this summary distills the key concepts and ideas into a quick-reference guide that's perfect for:

• Supplementing your reading of Developing Essential Understanding of Ratios, Proportions, and Proportionality and...

Teaching Geometry and Measurement 3–5

Get a deeper understanding of Geometry and Measurement with our concise and comprehensive Go-To Guide.

Based on Developing Essential Understanding of Geometry and Measurement and Putting Essential Understanding of Geometry and Measurement into Practice, this summary distills the key concepts and ideas into a quick-reference guide that's perfect for:

• Supplementing your reading of Developing Essential Understanding of Geometry and Measurement and Putting Essential Understanding of Geometry and...

Get a deeper understanding of teaching Geometry, 6–8 with our concise and comprehensive Go-To Guide.

Based on Developing Essential Understanding of Geometry 6–8 and Putting Essential Understanding of Geometry into Practice 6–8, this summary distills the key concepts and ideas into a quick-reference guide that's perfect for:

• supplementing your reading of Developing Essential Understanding of Geometry 6–8 and Putting Essential Understanding of Geometry into Practice 6–8, reviewing the basics before diving deeper into the...

Do your students suppose that if the perimeter of a shape increases, the area also increases? Do they think that area is the product of base and height, without understanding that this applies only to parallelograms? Do they believe that a transformation happens only on or to a particular object and not the entire plane? What tasks can you offer-what questions can you ask-to determine what they 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 geometry effectively in grades 6-8. The...

How can you introduce terms from geometry and measurement so that your studentsAE vocabulary will enhance their understanding of concepts and definitions? What can you say to clarify the thinking of a student who claims that perimeter is always an even number? How does knowing what changes or stays the same when shapes are transformed help you support and extend your studentsAE understanding of shapes and the space that they occupy? How much do you know a and how much do you need to know? Helping your students develop a robust understanding of geometry and measurement requires that you...