Calculating Areas Of Irregular Polygons

Drawing And Identifying Parallel And/or Perpendicular Lines

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

Defining Key Terms Related To Circles

Deriving And Using The Equation Of A Circle

Understanding And Applying Theorems And Properties About Circles

Deriving & Finding Circle's Equation & Radius

Deriving Arc Length, Radian Measure & Sector Area

Equation Derivation Of Parabola From Focus & Directrix

Inscribed & Circumscribed Circles, Quadrilateral Angles

Inscribed Angles, Radii & Chords Relations

Proving Similarity Of All Circles

Deriving The Equation Of A Parabola Given A Focus And Directrix

Use Congruency Criteria To Solve Problems

Establishing The Conditions Necessary For Two Triangles To Be Congruent

Reasoning How Two Figures Are Congruent Using Transformations

Use Similarity Criteria To Solve Problems

Describing A Sequence Of Transformations To Demonstrate Similarity Between Two Figures

Establishing The Conditions Necessary For Two Triangles To Be Similar

Identifying Similar Figures

Using The Circumcenter Of A Triangle To Solve Geometric Problems

Using The Incenter Of A Triangle To Solve Geometric Problems

Applying The Distance Formula

Finding A Point On A Line Segment Between Two Points That Partitions The Segment In A Given Ratio And Vice Versa

Finding The Midpoint Of A Line Segment When Given The Coordinates Of Its End-points

Using Coordinates To Compute Perimeters Of Polygons

Using Coordinates To Find The Areas Of Triangles/rectangles

Calculating Areas Of Irregular Polygons

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

Solving Mathematical And Real-world Problems Involving Surface Area Of Composite Solids

Solving Mathematical And Real-world Problems Involving Surface Area Of Cones

Solving Mathematical And Real-world Problems Involving Surface Area Of Cylinders

Measuring And Estimating Volume Of Cones

Measuring And Estimating Volume Of Cylinders

Measuring And Estimating Volume Of Miscellaneous Shapes

Measuring And Estimating Volume Of Pyramids

Measuring And Estimating Volume Of Spheres

Argument For Formulas Of Circles & 3d Shapes

Cavalieri's Principle: Volume Formulas Argument

Density Concepts In Area & Volume Modeling

Solving Problems Using Volume Formulas

Using The Angle Bisector Theorem To Solve Problems

Using The Perpendicular Bisector Theorem To Solve Problems

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

Drawing And Understanding Skew Lines And Planes

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

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

Applying Properties Of Parallelograms

Proving Theorems On Parallelograms

Understanding Quadrilaterals

Applying Properties Of Triangles

Proving Triangle Theorems

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

Applying Concepts Of Density Based On Volume In Modeling Situations

Using Geometric Shapes (including Their Measures And Properties) To Describe Real-life Objects

Dilation Effect On Parallel & Center Lines

Dilation Of Line Segment By Scale Factor

Identifying And/or Performing Dilations

Identifying And/or Performing Reflections

Identifying And/or Performing Rotations

Identifying And/or Performing Translations

Performing Multiple Transformations

Using Geometric Descriptions Of Rigid Motions To Transform Figures

Describing The Rotations And Reflections That Carry Any Polygon Onto Itself

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

Describing Rotations (by Angle) That Map A Shape Onto Itself

Identifying Whether A Shape Possesses Rotational Symmetry Or Not

Deriving And Using The Formula For The Area Of A Triangle In Terms Of Sides And The Sine Ratio

Using The Law Of Sines And/or Cosines In Triangles To Solve Problems

Solving Problems Involving Trigonometric Ratios In Right Triangles

Defining The Six Fundamental Ratios For Acute Angles

Explaining And Using The Relationship Between The Sine And Cosine Of Complementary Angles