1) Return exams: Scoring Make-Ups Algebra 2) Review: Trigonometry Similarity 3) New: Solids 4)...
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Transcript of 1) Return exams: Scoring Make-Ups Algebra 2) Review: Trigonometry Similarity 3) New: Solids 4)...
1) Return exams:ScoringMake-UpsAlgebra
2) Review:Trigonometry
Similarity3) New:
Solids
4) Make-up problems from exam
Agenda for today
Are 3-dimensional
Some have only polygons for faces and are called polyhedra (singular, polyhedron)
Topic: Solids
Include prisms, pyramids, cylinders, cones, and spheres
Have surface area (units are squared)
Have volume (units are cubed)
Solids (continued)
Use a formula to find the surface area
Use a formula to find the volume
Correctly label with specific terms
(FOURTH PROBLEM SET)
Solids TASKS
Are named for the shape of their bases
pentagonal prism vs. hexagonal prisms
Solids: Prisms (continued)
Have lateral faces that connect the bases
Are named for the angle of their lateral edges
The lateral edges can be “right” or “oblique”
Solids: Prisms (continued)
Classify prisms as right or oblique
Classify prisms based on congruent faces
Label a prism’s bases and lateral faces
Prisms TASKS
“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)
Solids: Prisms (continued)
“V” stands for volume
“BA” stands for base area (use appropriate polygon area formula)
“H” stands for height (be careful if it’s oblique!)
Solids: Prisms (continued)
Solids: Prisms (continued)
BA is from one of thecongruent triangles
H is the distance betweenthe congruent triangles
Solids: Prisms (continued)
BA is from one of the congruent pentagon bases
H is the perpendicular distance betweenthe congruent pentagons
Solids: Prisms (continued)
BA is from one of theTriangular 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)
PrismsTASKS (cont'd)
Have 2 identicalfaces (bases)
The two bases are circles
The two bases lie in parallel planes
Solids: Cylinders
Do not have lateral faces; instead there is one, big rectangle wrapped around connecting the bases
Solids: Cylinders (cont'd)