| Mahnesmith, Victor / Geometry / Grades 9-10 / High School |
Month
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Content
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August/
September |
Tools of Geometry
Patterns, Inductive Reasoning, Points, Lines, Planes, Segments, Rays, Parallel Lines, Planes, Measuring Segments, Measuring Angles, Coordinate Plane, Perimeter, Circumference, Area |
September/
October |
Reasoning and Proof
Conditional Statements, Biconditional Statements, Good Definitions, Deductive Reasoning, Law of Detachment, Law of Syllogism, Reasoning in Algebra, Proving Angles Congruent |
October/
November |
Parallel and Perpendicular Lines
Properties of Parallel Lines, Proving Lines Parallel, Triangle Angle Sum Theorem, Polygon Angle Sum Theorem, Lines in the Coordinate Plane, Slopes of Parallel Lines, Slopes of Perpendicular Lines |
November/
December |
Congruent Triangles
Congruent Figures, SSS, SAS, ASA, AAS, CPCTC, Isosceles Triangles, Equilateral Triangles, Congruence in Right Triangles, Using CPCT |
January |
Relationships Within Triangles
Midsegments of Triangles, Bisectors in Triangles: Perpendicular Bisector, Angle Bisector; Concurrent Lines, Altitudes, Medians, Inverses, Contrapositives, Inequalities in Triangles, |
February |
Quadrilaterals
Classifying Quadrilaterals, Properties of Parallelograms, Proving a Quadrilateral is a Parallelogram, Rhombi, Rectangles, Squares, Kites, Trapezoids, Placing Figures in the Coordinate Plane, Coordinate Proofs |
March/
April |
Area
Area of a Parallelogram, Area of a Triangle, Pythagorean Theorem, Special Right Triangles, Area of a Trapezoid, Area of a Rhombus, Area of a Kite, Area of a Regular Polygon, Central Angles, Arcs, Circumference, Arc Length, Find the Area of a Circle, Area of a Sector, Geometric Probability |
April/
May |
Surface Area and Volume
Surface Area of a Prism, Surface Area of a Cylinder, Surface Area of a Pyramid, Surface Area of a Cone, Volume of a Pyramid, Volume of a Cone, Volume of a Prism, Volume of a Cylinder, Surface Area of a Sphere, Volume of a Sphere |
May |
Right Triangle Trigonometry
Tangent Ratio, Cosine Ratio, Sine Ratio, Angles of Elevation, Angles of Depression, Vectors |
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