2014-2015 MATH Instructional Curriculum Plan
Grade: 9-12
Feb. 17- Feb. 27
Unit 7: 3D & Circles
Geometry: Geometric Measurement & Dimension Standards
Weeks of:
Geometry: Geometric Measurement & Dimension
Access Points
MAFS.912.G-GMD.1.1 Give an informal argument for the formulas for the circumference of a circle, area of a circle,
volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
MAFS.912.G-GMD.1.AP.1a Describe why the formulas work for a circle or cylinder (circumference of
a circle, area of a circle, volume of a cylinder) based on a dissection.
MAFS.912.G-GMD.1.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
MAFS.912.G-GMD.1.AP.3a Use appropriate formulas to calculate volume for cylinders, pyramids,
and cones.
MAFS.912.G-GMD.2.4 Identify the shapes of two-dimensional cross-sections of three dimensional objects, and identify
three-dimensional objects generated by rotations of two-dimensional objects.
MAFS.912.G-GMD.2.AP.4a Identify shapes created by cross sections of two-dimensional and threedimensional figures.
Geometry: Modeling with Geometry Standards
Geometry: Modeling with Geometry Access Points
MAFS.912.G-MG.1.1 Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a
tree trunk or a human torso as a cylinder).
MAFS.912.G-MG.1.AP.1a Describe the relationship between the attributes of a figure and the
changes in the area or volume when one attribute is changed.
MAFS.912.G-MG.1.2 Apply concepts of density based on area and volume in modeling situations (e.g., persons per
square mile, BTUs per cubic foot).
MAFS.912.G-MG.1.AP.2a Recognize the relationship between density and area; density and volume
using real-world models.
MAFS.912.G-MG.1.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy MAFS.912.G-MG.1.AP.3a Apply the formula of geometric figures to solve design problems (e.g.,
physical constraints or minimize cost; working with typographic grid systems based on ratios).
designing an object or structure to satisfy physical restraints or minimize cost).
Geometry: Circles Standards
MAFS.912.G-C.1.1 Prove that all circles are similar.
Geometry: Circles Access Points
MAFS.912.G-C.1.AP.1a Compare the ratio of diameter to circumference for several circles to
establish all circles are similar.
2014-2015 MATH Instructional Curriculum Plan
Grade: 9-12
Unit 7: 3D & Circles
MAFS.912.G-C.1.2 Identify and describe relationships among inscribed angles, radii, and chords. Include the
relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the
radius of a circle is perpendicular to the tangent where the radius intersects the circle.
Weeks of:
Feb. 17- Feb. 27
MAFS.912.G-C.1.AP.2a Identify and describe relationships among inscribed angles, radii and chords.