Targets & Standards

Geometry is a way to understand the real world around us by basing arguments on concrete referents, modeling relationships, and applying mathematical principles to understand geometric properties and concepts using objects, drawings, diagrams, and actions. 

Essential Standards

G-GMD.A  Explain volume formulas & use them to solve problems. 

G-MG.A  Apply geometric concepts in modeling situations. 

G-GPE.A  Translate between the geometric description and the equation for a conic section. 

G-GMD.A.3  Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. 

There are no substandards for this standard.

G-MG.A.3  Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).    Modeling Standard

There are no substandards for this standard.

G-GPE.A.1  Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation. 

There are no substandards for this standard.

Claim 4 (DOK 2, 3 & 4)  Modeling & Data Analysis: 

Students can analyze complex, real-world scenarios & can construct & use mathematical models to interpret & solve problems.  

Assessment Targets (incorporate as many as possible)

Task Models & Examples (three samples to get the idea)

Supporting Standards

G-GPE.A.2  Derive the equation of a parabola given a focus and directrix. 

There are no substandards for this standard.

G-GMD.A.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. 

G-GMD.B.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. 

There are no substandards for this standard.

G-GMD.B.5  Know that the effect of a scale factor k greater than zero on length, area, and volume is to multiply each by k, k², and k³, respectively; determine length, area, and volume measures using scale factors. 

This is a California only standard (addition).