によって Art Scrivener 11年前.
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Carnegie Geometry Two
The content covers a range of geometric and mathematical concepts, primarily focusing on the properties and classifications of various shapes and forms. Key topics include the study of quadrilaterals and their specific types such as parallelograms, rhombi, kites, trapezoids, squares, and rectangles, alongside their interior and exterior angles.
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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
