Unit 8 Outline
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
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
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