I know the definitions of the major quadrilaterals (parallelogram, rhombus, rectangle, square, kite, trapezoid, and isosceles trapezoid)
I know the basic properties of the major quadrilaterals
I can use and apply the basic properties of the major quadrilaterals in proof
I can apply the basic properties to solve algebraic problems in the major quadrilaterals
I understand the relationship between the major quadrilaterals within the “family tree”
I can find the point on a line segment on a grid that partitions the segment a certain way (i.e. midpoint, or one-third point)
I can apply algebraic tools, including slope and the Pythagorean theorem, to identify quadrilaterals on a coordinate plane
Unit 8: Polygons
I can name a polygons based on its number of sides and angles
I understand the difference between regular and irregular polygons
I can determine the sum of the of the interior angle measures of a polygon
I can apply the sum of the interior angle measures of a polygon to solve problems
I can determine the sum of the of the exterior angle measures of a polygon
I can apply the sum of the exterior angle measures of a polygon to solve problems
I can determine the area of a regular polygon when I know its side length, apothem, or radius
I can use the area ratio of similar figures to determine areas or dimensions of different shapes
Unit 9: Circles
I can use the area and circumference relationships to determine measurements of a circle
I can use the relationship between a central angle and a circle’s area or circumference to determine sector area and arc length, and vice versa
I can solve challenging problems involving irregular areas of circles
I can apply the relationship between inscribed angles and the measures of their intercepted arcs to find measurements of arcs and angles on a circle
I can apply the relationships amongst the angles and arcs of intersecting chords, tangents, and secants of a circle to determine different measurements
I can apply the relationships amongst the lengths of intersecting chords, tangents, and secants of a circle to determine different measurements
Unit 10: 3-Dimensional Geometry
I can find the surface area and volume of prisms
I can find the surface area and volume of cylinders
I can find the surface area and volume of oblique prisms and cylinders
I can find the surface area and volume of prisms with unusual bases
I can find missing measurements of a prism or cylinder when provided its volume or surface area
I can use ratios and/or proportions to find missing dimensions, surface area, and volume of similar 3-dimensional solids
I can find the surface area and volume of pyramids
I can find the surface area and volume of pyramids
I can find the surface area and volume of spheres
I can find missing measurements of a pyramid, cone or sphere when provided its volume or surface area
I can find the volume of irregularly shaped solids using volume displacement
I can find the density of 3-dimensional solids
Unit 11: Transformations
I can reflect a figure over a line of reflection
I can rotate a figure a certain direction and angle measure about a point
I can translate a figure a certain distance and direction
I am able to use coordinate patterns to perform different transformations on a coordinate plane
I can determine what transformation occurred given information about the pre-image and image
I can identify instances of reflection, rotation, and translation symmetry
I can use transformations to make solving challenging problems easier
Unit 12: Probability
I can determine probabilities of basic events
I can differentiate between dependent and independent events, and can determine probabilities of such events
I can use tree diagrams to model probability situations
I can use area models to model probability situations
I can determine the expected value of a game or event
I can construct an event to have a desired expected value