Understanding That An Angle That Turns Through 'n' One-degree Angles Has An Angle Measure Of 'n' Degrees

Applying Facts About Complementary Angles To Solve Problems

Applying Facts About Supplementary Angles To Solve Problems

Applying Facts About Two Or More Types Of Angles (vertically Opposite, Complementary, Supplementary, Adjacent) To Solve Problems

Applying Facts About Vertically Opposite Angles To Solve Problems

Understanding That An Angle That Turns Through 'n' One-degree Angles Has An Angle Measure Of 'n' Degrees

Deriving The Relationship Between The Circumference And Area Of A Circle

Recalling And Using The Formulae For The Area Of A Circle To Solve Problems

Calculating And Comparing Areas Of Similar Polygons

Calculating Areas Of Irregular Polygons

Drawing And Identifying Parallel And/or Perpendicular Lines

Naming Points, Line Segments, Rays, Lines And Planes

Knowing Precise Definitions Of Line Segments, Perpendicular Lines And Parallel Lines

Defining Lines And Line Segments Associated With Circles (radius, Diameter, Chord, Secant And Tangent)

Identifying Congruent Figures

Reasoning How Two Figures Are Congruent Using Transformations

Establishing The Conditions Necessary For Two Triangles To Be Similar

Identifying Similar Figures

Describing A Sequence Of Transformations To Demonstrate Similarity Between Two Figures

Establishing The Conditions Necessary For Two Triangles To Be Similar

Identifying Similar Figures

Applying The Distance Formula

Using Coordinates To Compute Perimeters Of Polygons

Applying Angle Relationships Between Parallel Lines To Find Angle Measures In Mathematical Scenarios

Understanding And Using Co-interior Angles

Understanding And Using Corresponding Angles

Understanding And Using Interior And Exterior Angles

Describing An Informal Argument For The Formula For The Circumference Of A Circle

Finding The Radius When Given The Diameter And Vice Versa

Recalling And Using The Formulae For The Circumference Of A Circle To Solve Problems

Finding Perimeters Of Similar Polygons

Describing The Two-dimensional Figures That Result From Slicing Cones

Describing The Two-dimensional Figures That Result From Slicing Cylinders

Describing The Two-dimensional Figures That Result From Slicing Right Rectangular Prisms

Describing The Two-dimensional Figures That Result From Slicing Right Rectangular Pyramids

Understanding And Using Nets Made Up Of Triangles, Rectangles And Circles To Represent Three-dimensional Solids

Solving Mathematical And/or Real-world Problems Involving Surface Area Of Cubes And Cuboids

Solving Mathematical And/or Real-world Problems Involving Surface Area Of Prisms

Solving Mathematical And/or Real-world Problems Involving Surface Area Of Pyramids

Solving Mathematical And/or Real-world Problems Involving Surface Area Of Cubes And Cuboids

Describing The Effect Of Multiple Transformations On Two-dimensional Figures

Identifying And/or Performing Dilations

Identifying And/or Performing Reflections

Identifying And/or Performing Rotations

Identifying And/or Performing Translations

Performing Multiple Transformations

Comparing Transformations That Preserve Distance And Angle To Those That Do Not

Describing Transformations As Functions That Take Points In The Plane As Inputs And Give Other Points As Outputs

Solving Problems Involving Scaling Of Length And/or Area

Applying The Pythagorean Theorem (and/or Its Converse) To Different Geometric Problems

Applying The Pythagorean Theorem To Determine Unknown Side Lengths In Right Triangles (both Two-dimensions And Three-dimensions)

Applying The Angle Sum Property Of Triangles

Applying The Exterior Angle Property Of Triangles

Understanding The Conditions For The Existence Of Triangles (unique Triangle, More Than One Triangle, No Triangle)

Calculating The Volume Of Similar Solids

Solving Mathematical And/or Real-world Problems Involving Volume Of Prisms

Solving Problems Involving Volume Of Pyramids

Solving Mathematical And/or Real-world Problems Involving Volume Of Cones

Solving Mathematical And/or Real-world Problems Involving Volume Of Cylinders

Applying The Formulae For The Volumes Of Cones, Cylinders And Spheres To Real-world Problems Involving Composite Solids

Solving Problems Involving Volume Of Pyramids

Solving Mathematical And/or Real-world Problems Involving Volume Of Spheres