MAFS.912.G-GMD.1.3
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Congruence, Similarity, Right Triangles & Trig - 46%
MAFS.912.G-
CO.1.1 Definitions
CO.1.2 Use Transformations
CO.1.5 Drw Transformations
CO.2.6 Rigid Motions
CO.3.9 Line & L Theorems
CO.3.10 Triangle Theorems
CO.3.11 Parallelograms
CO.4.12 Constructions
SRT.1.1 Dilations
SRT.1.2 Def of Similarity
SRT.1.3 AA Similarity
SRT.2.5 ~ &
Criteria of 
SRT.3.8 Trig & Pyth Theorem
Circles, Geometric Measurement & Geometric Properties with Equations - 38%
MAFS.912.G-
C.1.1 Similar Circles
C.1.2 Chord-L Relationships
C.1.3 Inscribe/Circumscribe
C.2.5 Arcs, Angles, Sectors
GMD.1.1 Argue Formulas
GMD.1.3 Use Formulas
GMD.2.4 Identify Objects
GPE.1.1 Equation of a Circle
GPE.2.4 Use Coordinates
GPE.2.5 Use || and 
GPE.2.6 Segment Ratios
GPE.2.7 Coordinate Per/Area
Modeling with Geometry - 16%
MAFS.912.G-
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What You Need To Know...
MAFS.912.G-GMD.1.3 - Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
1. The benchmark will be assessed using Equation Response, Multiple Choice Response, Multi-select Response and Open Response.
2. Items may require students to necessary formulas.
3. Items may require students to use find a dimension or to find the volume when one or more dimensions are changed or the volume is changed.
4. Items may require include composite figures but will not include oblique figures..
Example One
Example Two
Example Three
Example Four
Kendra has a compost box that has the shape of a cube. She wants to increase the size of the box by extending every edge of the box by half of its original length. After the box is increased in size, which of the following statements is true?
- The volume of the new compost box is exactly 112.5% of the volume of the original box.
- The volume of the new compost box is exactly 150% of the volume of the original box.
- The volume of the new compost box is exactly 337.5% of the volume of the original box.
- The volume of the new compost box is exactly 450% of the volume of the original box.
Example Five
A city is planning to replace one of its water storage tanks with a larger one. The city's old tank is a right circular cylinder with a radius of 12 feet and a volume of 10,000 cubic feet. The new tank is a right circular cylinder with a radius of 15 feet and the same height as the old tank. What is the maximum number of cubic feet of water the new storage tank will hold?
Reference Sheet
Select sample problems taken from FLDVIPN teacher materials
Violet Esopakis - Palm Beach Co.
Stephanie Fitzwater - Seminole Co.
Angela Kerins - Orange Co.
Lisa Lasseter - St. Johns Co.
Jeremy Lowery - Escambia Co.
Jodi Van Wagoner - Brevard Co.
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