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7 th Grade Math PD

7 th Grade Math PD. Caroline Stalvey Charlotte Jenkins. Discovering Pi. Circles, Circles, Circles: Have students measure circles around the classroom or school. They should keep track of all data. Credit: Bob Horton Other options: Canned foods (cylinders) and string

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7 th Grade Math PD

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  1. 7th Grade Math PD Caroline Stalvey Charlotte Jenkins

  2. Discovering Pi • Circles, Circles, Circles: • Have students measure circles around the classroom or school. They should keep track of all data. • Credit: Bob Horton • Other options: • Canned foods (cylinders) and string • Walking the diameter of a circle on a playground.

  3. Parallelograms and Triangles: Area Before doing this activity students should be prepped on the areas so that they can fully understand the concepts.

  4. Trapezoids, Rhombi & Kites: Area These activities can be done in a station setting and will allow students to understand where the area equations come from.

  5. Area Equations

  6. Transitioning From 2-D to 3-DCylinder and Rectangular Prism • Solids Formed Activity Need: • Deck of Cards • Roll of Pennies • Have students recall the equations for the area of a circle and a rectangle. • Demonstration • Extension: Oblique Solids

  7. Rectangular Prism: Surface Area Teaching Suggestion: Have students wrap a tissue box or other enclosed square item.

  8. Cylinder: Surface Area Teaching Suggestions: Have students wrap a canned food item.

  9. Pyramids and Cones: Volume • http://www.youtube.com/watch?v=OUDjY6vJ8pw • http://www.youtube.com/watch?v=QnVr_x7c79w

  10. Surface Area: Pyramid

  11. Surface Area: Cone

  12. Surface Area of a Sphere Have students draw on prior knowledge by using the area of a circle and applying it to a sphere.

  13. Relating the Volume of a Pyramid and a Sphere • The volume of a sphere is the volume of a cylinder. • Take clay and make it into a sphere. Cut out a cylinder with construction paper and put it around the sphere. Smash the clay down to prove that the volume of the sphere is 2/3rds that of the cylinder.  • The height on the cylinder would correspond with the diameter of the sphere or 2 times the radius of the sphere. • So take the volume of a cylinder (v=pi*r^2*h) and substitute 2r in for the height. • Take this multiplied by 2/3. When you simplify this you get V=Π. http://bgssmaths.blogspot.com/2009/08/volume-of-cone-video.html

  14. Supplementary and Complementary Angles • Complementary angles – two angles whose measures add to 90 degrees • Supplementary angles – two angles who measures add to 180 degrees Ways to remember: 1.CO  --> 90 SU --> 180 2. Complementary --> "corner“ Supplementary --> "straight line" 3.  Alphabetical and Numerical Order • Complementary comes before supplementary • 90 comes before 180

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