Lesson: Introduction to Solids

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Presentation transcript:

Lesson: Introduction to Solids Unit 8: Solids Lesson: Introduction to Solids Essential Questions: How can you determine the intersection of a solid and a plane? How can you calculate the surface area and volume of a solid? How do the surface and volume of similar solids compare?

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids The number of edges a polyhedron has is equal to half the sum of the number of sides of all its faces. For example, the polyhedron shown has 7 faces, 2 pentagons and 5 quadrilaterals. Each pentagon has 5 sides while the quadrilaterals have 4. The total number of sides is 5+5+4+4+4+4+4=30. 30÷2=15, so the polyhedron has 15 edges. Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Goals: To recognize solids and their parts Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Goals: To recognize solids and their parts. To visualize cross sections of solids. Essential Understandings: You can analyze polyhedrons by using relationships between vertices, edges and faces and a sphere by its radius.

Solids Homework: Worksheet 12.1 1-3 (pick 2), 4-6 (pick 2), 7-9 (pick 2), Do either 10-13 or 14-17, 18-19 (Pick 1; sketches don’t have to be perfect)