a Art Scrivener 12 éve
524
Carnegie Geometry Two
Carnegie Geometry
13. Circles on coordinate plane
Equation of a Parabola
Circles and points on the coordinate plane
Determining points on a circle
Equation of a circle
Circles on coordinate plane problems
14. Independence and Conditional Probability
Theoretical and Experimental Probability
Calculating compound probability
Compound probability with "or"
Compound Probability with "and"
Compound sample space
Modeling probability
15. Probability of Compound Events
Expected values
Independent Trials
Permutations and Combinations
Conditional probability
Two way Tables
1. Tools of Geometry
Points of concurrency
Parallel lines, perpendicular lines and polygons
Parallel and perpendicular lines in coordinate plane
Angle and angle bisectors
Midpoint and bisectors
Translating and constructing line segments
Points, lines, planes, rays, segments
2. Logic and Proof
Parallel line converse theorems
Angle Postulates and theorems
Forms of Proof
Special angles and postulates
Foundations of proof
3. Perimeter and Area of geometric figures on the coordinate plane
Area of circle
circumference of circle
Area and perimeter of composite figures on coordinate plane
Area and perimeter of trapezoidal on coordinate plane
area and perimeter of parallelograms on coordinate plane
Area and Perimeter of triangles on coordinate plane
Using transformations to determine perimeter and area
4. Volume and surface area
Diagonals in three dimensions
Cross Sections
Applying Volume formulas
Volume of sphere
Volume of Cones and Pyramids
Translating Two-dimensional figures
Rotating two-dimensional figures
5. Right Triangle Geometry
30-60-90 triangle
45-45-90 triangle
triangle inequality theorem
Triangle sum theorem
Classifying triangles
12. More Circles
Circle Word Problems
Sectors and segments
Arc Length
Inscribed triangles and quadrilaterals
11. Circles
Tangents and circles
Chords
Measuring angles inside and outside of circles
Central angles, Inscribed Angles, Intercepted Arcs
Circle vocabulary
10. Quadrilaterals
Identifying Quadrilaterals in the coordinate plane
Quadrilateral family properties
Exterior angles of a polygon
Interior angles of a polygon
Kites and Trapezoids
Parallelograms and Rhombi
Squares ans Rectangles
9. Right Triangle Trigonometry
Applying Law of sines and law of cosines
Law of sines
Law of cosines
Angles of elevation and depression
Complement angle relationship
Cosines ratio
Sine ratio
Tangent ratio
8. Congruence
Direct proof vs. Indirect proof
Isosceles Triangle Theorem
CPCTC
Right triangle congruence
7. Congruence
Applying congruent triangles
AAS congruence
ASA congruence
SAS congruence
SSS congruence
Congruent triangles
Translating, rotating, reflecting geometric figures
6. Similarity
Cavalieri's principle
Applying Similar Triangles
Proving Pythagorean theorem
Geometric Mean
Theorems about proportionality
Similar triangle theorems
Dialating triangles
