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-C.A Understand and apply theorems about circles.
G-CO.D Make geometric constructions.
G-GPE.A Translate between the geometric description and the equation for a conic section.
G-C.A.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
G-CO.D.13 Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
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 3 (DOK 2, 3 & 4) Communicating Reasoning:
Students clearly and precisely construct viable arguments to support their own reasoning and to critique the reasoning of others.
Assessment Targets (incorporate as many as possible)
Task Models & Examples (three samples to get the idea)
Supporting Standards
G-CO.A.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
There are no substandards for this standard.
G-C.A.1 Prove that all circles are similar
There are no substandards for this standard.
G-C.A.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
There are no substandards for this standard.
G-C.A.4 Construct a tangent line from a point outside a given circle to the circle.
There are no substandards for this standard.
G-C.B.5 Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
Convert between degrees and radians. CA only.
G-GPE.A.2 Derive the equation of a parabola given a focus and directrix.
There are no substandards for this standard.