- Review circles.
- Compare circles to spheres.
- Show how the parts of a circle relate to the parts of a sphere.
- Review the meaning of surface area.
- Review the definition of volume.
IV.AlternativeAssessment
- Assess student understanding of the material through the discussion and through student answers when work-
ing with the given objects.
Similar Solids
I.SectionObjectives
- Find the volumes of solids with bases of equal areas.
II.MultipleIntelligences
- To differentiate this lesson, begin by teaching the content in the lesson.
- Ask the student’s to draw an example of Cavalieri’s Principle (Volume of a solid postulate)
- Have students share their example with a peer and then allow time for student sharing.
- The class participation will give you time to see if the students understand the principle.
- Then move on to working with similar solids. The students are going to draw a pair of similar solids and then
work to problem solve with the similar solids. - Tell students to draw a solid that is similar to a rectangular prism with a depth of 4, a width of 6, and a height
of 9. - Students should begin by drawing this given rectangular prism and then draw one similar to it.
- Once this is similar, ask them to write ratios to demonstrate that the prisms are similar.
- Next, have the students find the surface area of each prism and demonstrate that they are similar through the
Similar Solids Postulate. - Finally, ask students to find the volume of each prism and demonstrate that they are similar through the Similar
Solids Postulate. - Allow time for the students to share their work.
- Intelligences- linguistic, logical- mathematical, visual- spatial, interpersonal, intrapersonal.
III.SpecialNeeds/Modifications
- Review surface area.
- Review volume.
- Review scale factor.
- Write Cavalieri’s Principle on the board. Rename it as the Volume of a Solid Postulate.
- Review similar solids and writing equal ratios.
IV.AlternativeAssessment
- Walk around as students work and assess their understanding through observation.
- You can collect student work to use as a classwork grade.
- Offer assistance to students who are in need of help.
- Use flexible grouping to assist these students.
Chapter 4. Geometry TE - Differentiated Instruction