Focus Domain/Session Title

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Transcript Focus Domain/Session Title

7/20/2015
CCSSM
National Professional
Development
Geometry
Grade 6/7
Ginny Bohme
Sam Buhler
Linda Mannhardt
Grade 6
• Solve real-world and mathematical problems involving
area, surface area, and volume.
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6.G.1
• Find the area of right triangles, other triangles, special
quadrilaterals, and polygons by composing into
rectangles or decomposing into triangles and other
shapes; apply these techniques in the context of solving
real-world and mathematical problems.
Authors' Name(s)
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6.G.3
• Draw polygons in the coordinate plane given
coordinates for the vertices; use coordinates to find the
length of a side joining points with the same first
coordinate or the same second coordinate. Apply these
techniques in the context of solving real-world and
mathematical problems.
Authors' Name(s)
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Pause and Reflect
• Talk with your elbow partner
• What do you think the standard is expecting of
students?
Authors' Name(s)
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Let’s Explore
• Begin the task on your own for 2-3 minutes
• Compare with your table mates
• On the chart paper record your group’s solution and
thinking
• Be ready to present your solution
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Pause and Reflect
• What skills were necessary to complete the task?
• How did the various solutions relate to one another?
• How did the task address the standards?
• Which mathematical practices were evident?
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Considerations
• Task can address more than one standard in a domain
or from multiple domains.
• Task should allow for multiple entry points.
• Pay attention to the mathematical practices in the
student’s work.
Authors' Name(s)
Grade 7
• Geometry
– Draw, construct, and describe geometrical figures and
describe the relationships between them.
Cube
Rectangular
Prism
Slicing a Solid
• Describe the resulting face shape that will result from
slicing a solid rectangular prism:
– parallel to the base
– perpendicular to the base
– at an angle through the prism
• Explain your thinking
base
What’s Possible?
• Where could you slice a solid rectangular prism to
create a triangle?
• Explain your thinking
• Could slice a cube to create a rectangle that is not a
square?
• Explain your thinking
Time to Explore
• Is it possible to create other polygons from slicing a
cube? What are they?
• Are there any polygons you would not be able to
create? How do you know?
• www.learner.org/courses/learningmath/geometry/sess
ion9/part_c/index.html
Classroom Implementation
• What would be your next step in the lesson?
• What tools would you make available to the students?
Which standard(s) in the 7th grade
domain of Geometry does this address?
• Describe the two-dimensional figures that result from
slicing three-dimensional figures, as in plane sections of
right rectangular prisms and right rectangular pyramids.
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Thank you!