Unit 8 Outline

 

8.01 Pythagorean Theorem

Ideas
  • The lengths of the sides of a right triangle are uniquely related through what most people call the "pythagorean theorem".
Objectives
  • When done with this lesson, students will be able to find a missing length of one side of a right triangle when the other two are known.
  • When done with this lesson, students will be able to determine if a triangle is a right triangle when given the measures of the three sides.

 

Approximate completion time: 3 hours

 

8.02 Surface Areas of Space Figures

Ideas
  • The exposed surface on a 3D object has area.

Objectives
  • When done with this lesson, students will be able to find the surface area of prisms, pyramids, and cylinders given dimensions.
  • When done with this lesson, students will be able to find a dimension of a prism, pyramid, or cylinder when given the surface area and other dimensions.
  • When done with this lesson, students will be able to explain how changes in one dimension affect the surface area of a prism, pyramid, or cylinder.

Approximate completion time: 3 hours

 

8.03 Volumes of Space Figures

Ideas
  • Three dimensional objects take up space. That's volume!
Objectives
  • When done with this lesson, students will be able to find the volume of prisms, cylinders, pyramids, and cones given dimensions.
  • When done with this lesson, students will be able to find a dimension of a prism, cylinder, pyramid, or cone when given the volume and other dimensions.
  • When done with this lesson, students will be able to explain how changes in one dimension affect the volume of a prism, cylinder, pyramid, or cone.

Approximate completion time: 3 hours

 

8.04 Similar 3D Figures

Ideas
  • The shape of two figures may be similar, yet the areas and volumes are related powerfully.
Objectives
  • When done with this lesson, students will be able to explain the relationship between surface areas of two similar 3D figures.
  • When done with this lesson, students will be able to explain the relationship between volumes of two similar 3D figures.

Approximate completion time: 3 hours