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

Calculating Areas Of Irregular Polygons

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

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

Converting Between Radian And Degree Measures And Vice Versa

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

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

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)

Deriving The Equation Of A Parabola Given A Focus And Directrix

Use Congruency Criteria To Solve Problems

Use Similarity Criteria To Solve Problems

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

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

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

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

Applying The Distance Formula

Using Coordinates To Compute Perimeters Of Polygons

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

Using The Angle Bisector Theorem To Solve Problems

Using The Perpendicular Bisector Theorem To Solve Problems

Using The Circumcenter Of A Triangle To Solve Geometric Problems

Using The Incenter Of A Triangle To Solve Geometric Problems

Using The Circumcenter Of A Triangle To Solve Geometric Problems

Using The Incenter Of A Triangle 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

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

Different Rectangles With Same Area/perimeter

Decomposing Figures To Find Area

Understanding When Area Is The Quantity Of Interest Involved In A Scenario (including Cases Where Contrasting It With Perimeter Or Volume)

Area As Unit Squares

Area Of Rectangles

Area Of Squares

Decomposing Shapes

Problem Solving

Using Formulas

Problem Solving

Using Formulas

Different Rectangles With Same Area/perimeter

Understanding When Perimeter Is The Quantity Of Interest Involved In A Scenario (including Cases Where Contrasting It With Area Or Volume)

Finding The Volume Of A Right Rectangular Prism By Packing It With Unit Cubes

Finding Volumes Of Solid Figures By Decomposing Them Into Non-overlapping Right Rectangular Prisms

Measuring Volume By Counting Unit Cubes Using Same Or Different Units

Recognising That Volume Is Additive And Applying The Technique Of Decomposing Figures To Find Volumes In Real-world Contexts

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Solving Problems Involving Scaling Of Length And/or Area

Describing The Rotations And Reflections That Carry Any Polygon Onto Itself

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

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

Identifying Whether A Shape Possesses Rotational Symmetry Or Not

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)

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

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

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

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