Calculating Areas Of Irregular Polygons

Argument For Formulas Of Circles & 3d Shapes

Cavalieri's Principle: Volume Formulas Argument

Density Concepts In Area & Volume Modeling

Solving Problems Using Volume Formulas

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

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

Using The Angle Bisector Theorem To Solve Problems

Using The Perpendicular Bisector Theorem To Solve Problems

Naming Points, Line Segments, Rays, Lines And Planes

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

Deriving The Equation Of A Parabola Given A Focus And Directrix

Solving Problems Involving Equation Of A Circle

Solving Problems Related To Arcs Of Circles (including Arc Theorems)

Solving Problems Related To Central, Inscribed And Circumscribed Angles (including Angle Theorems)

Solving Problems Related To Chords Of Circles (including Chord Theorems)

Solving Problems Related To The Area Of A Sector Of A Circle

Converting Between Radian And Degree Measures And Vice Versa

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

Use Congruency Criteria To Solve Problems

Use Similarity Criteria To Solve Problems

Establishing The Conditions Necessary For Two Triangles To Be Congruent

Reasoning How Two Figures Are Congruent Using Transformations

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

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

Using The Circumcenter Of A Triangle To Solve Geometric Problems

Using The Incenter Of A Triangle To Solve Geometric Problems

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

Applying Properties Of Special Parallelograms (square, Rectangle And Rhombus) To Solve Geometric Problems

Applying Properties Related To Angles And/or Sides And/or Diagonals In A Parallelogram To Solve Geometric Problems

Proving And Using The Properties Of Angles For A Quadrilateral

Applying Properties Based On The Relationship Between Side Lengths And Angle Measures To Solve Geometric Problems

Applying Properties Related To Altitudes To Solve Geometric Problems

Applying Properties Related To Medians To Solve Geometric Problems

Applying The Triangle Midsegment Theorem (intercept Theorem Or Basic Proportionality Theorem) To Solve Geometric Problems

Applying Concepts Of Density Based On Volume In Modeling Situations

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

Applying Geometry In Design Problem Solving

Describing Objects Using Geometric Shapes

Identifying 2d Cross-sections & 3d Rotations

Reasoning With Three-dimensional Shapes And Their Attributes

Applying The Formulae For The Surface Area Of Cylinders, Prisms, Pyramids And/or Cones To Real-world Problems Involving Composite Solids

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

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 Cylinders

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

Identifying Whether A Shape Possesses Rotational Symmetry Or Not

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

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