1. Ginny Bohme Sam Buhler Linda Mannhardt
11/24/2018
Geometry
Grade 6/7
Ginny Bohme
Sam Buhler
Linda Mannhardt
Audience: grade 6-8 math teachers, special education teachers, curriculum directors , building administrators
Teachers expected to already to have a working knowledge of the mathematical practice standards

2. Grade 6
Solve real-world and mathematical problems involving area, surface area, and volume.
Cluster heading for the standards this PD highlights.

3. 11/24/2018
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.
Ask teachers to highlight words or phrases in standard that may indicate what students will be able to do and understand
Emphasize composing and decomposing shapes
Authors' Name(s)

4. 11/24/2018
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.
Ask teachers to highlight words or phrases in standard that may indicate what students will be able to do and understand
Authors' Name(s)

5. Pause and Reflect Talk with your elbow partner
11/24/2018
Pause and Reflect
Talk with your elbow partner
What do you think the standard is expecting of students?
Authors' Name(s)

6. Let’s Explore Begin the task on your own for 2-3 minutes
11/24/2018
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
Materials needed: Little Bo Peep task sheet, graph paper, pencils, rulers, chart paper, markers
Questions to consider: what if students connected points in a convex polygon
Authors' Name(s)

7. Pause and Reflect What skills were necessary to complete the task?
11/24/2018
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?
Have participants record their responses on the reflection sheet in their packet
Questions to consider: what if students connected points in a way that doesn’t form a polygon
Authors' Name(s)

8. 11/24/2018
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)

9. Grade 7
Geometry
Draw, construct, and describe geometrical figures and describe the relationships between them.
Cube
In grade 6 students have had experiences with 3-D shapes through nets and volume activites.
Rectangular
Prism

10. 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
Cubes, computers(optional), activity sheet,
May need to discuss end face. Base
Cuts made parallel will take the shape of the base; cuts made perpendicular will take the shape of the lateral (side) face.
Cuts made at an angle through the right rectangular prism will produce a parallelogram.

11. 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?

12. 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?
This applet could also be used for more advanced students

13. Classroom Implementation
What would be your next step in the lesson?
What tools would you make available to the students?

14. 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.

15. 11/24/2018
Thank you!