7 th Grade Math PD
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Transcript of 7 th Grade Math PD
7th Grade Math PD
Caroline StalveyCharlotte Jenkins
Discovering PiCircles, 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.
Parallelograms and Triangles: Area
Before doing this activity students should be prepped on the areas so that they can fully understand the
concepts.
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.
Area Equations
Transitioning From 2-D to 3-DCylinder and Rectangular Prism
• Solids Formed ActivityNeed:– Deck of Cards– Roll of Pennies
• Have students recall the equations for the area of a circle and a rectangle.
• Demonstration• Extension: Oblique Solids
Rectangular Prism: Surface Area
Teaching Suggestion:Have students wrap a tissue box or other enclosed square item.
Cylinder: Surface Area
Teaching Suggestions: Have students wrap a canned food item.
Pyramids and Cones: Volume
• http://www.youtube.com/watch?v=OUDjY6vJ8pw
• http://www.youtube.com/watch?v=QnVr_x7c79w
Surface Area: Pyramid
Surface Area: Cone
Surface Area of a Sphere
Have students draw on prior knowledge by using the area of a circle and applying it to a sphere.
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
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 --> 1802. Complementary --> "corner“ Supplementary --> "straight line"3. Alphabetical and Numerical Order
• Complementary comes before supplementary• 90 comes before 180