1) Return exams: Scoring Make-Ups Algebra 2) Review: Trigonometry Similarity 3) New: Solids 4) Make-up problems from exam.

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Presentation transcript:

1) Return exams: Scoring Make-Ups Algebra 2) Review: Trigonometry Similarity 3) New: Solids 4) Make-up problems from exam

Are 3-dimensional Some have only polygons for faces and are called polyhedra (singular, polyhedron)

This one is a polyhedron:

This one is not a polyhedron: LINK

Include prisms, pyramids, cylinders, cones, and spheres Have surface area (units are squared) Have volume (units are cubed)

Examples of different types:

Use a formula to find the surface area Use a formula to find the volume Correctly label with specific terms (FOURTH PROBLEM SET)

Have 2 identical (congruent) faces (called bases – these lie in parallel planes)

Are named for the shape of their bases pentagonal prism vs. hexagonal prisms

Have lateral faces that connect the bases Are named for the angle of their lateral edges The lateral edges can be “right” or “oblique”

What shape are the lateral faces? pentagonal prism hexagonal prisms

What shape are the lateral faces for these?

Right rectangular prism Oblique rectangular prism

Classify prisms as right or oblique Classify prisms based on congruent faces Label a prism’s bases and lateral faces

“SA” stands for surface area “LA” stands for lateral area (the sum of the areas of lateral faces) “BA” stands for base area (use appropriate polygon area formula)

LA is made up of the three yellow lateral faces BA is one of the red bases

“V” stands for volume “BA” stands for base area (use appropriate polygon area formula) “H” stands for height (be careful if it’s oblique!)

BA is from one of the congruent triangles H is the distance between the congruent triangles

BA is from one of the congruent pentagon bases H is the perpendicular distance between the congruent pentagons

BA is from one of the Triangular bases H is the long edge of the brown lateral faces

Label a prism’s lateral faces Find the surface area of a prism Find the volume of a prism (FIFTH & SIXTH PROBLEM SETS)

Have 2 identical faces (bases) The two bases are circles The two bases lie in parallel planes

Do not have lateral faces; instead there is one, big rectangle wrapped around connecting the bases

Recall the formula for SA of a prism Compare it to our cylinder formula

Recall the formula for V of a prism Compare it to our cylinder formula

Label a cylinder’s height and radius Find the surface area of a prism Find the volume of a prism (SEVENTH & EIGHTH PROBLEM SETS)