[ Introduction ]
You are about to start "Geometry" Lesson. From ancient Greek, "Geo" of "Geometry" means "Earth" and "Metry" of "Geometry" means "Measurement". Geometry is the study of shape (Triangle, Rectangle, Circel etc), size, relative position of figures, and the properties of space. The history of Geometry is traced to "Greece" (Pythagorean Theorem) and "Egypt" (Pyramids).
There will be 22 Lessons for Geometry. There are 4 main topics for Geometry - 1) Basic (Point, Line, Angle, Proof), 2) Triangle, 3) Trigonometry, 4) Others (Quadrangle, Circle, Area/Volume).
Downloads: Geometry - CST Released Test*
Geometry - CST Blueprint*
Before you start Lesson #1, I want you to read Readme page again.
[ Lesson #1 ]
Math Standards 1.0 - Students demonstrate understanding by identifying and giving examples of
undefined terms, axioms, theorems, and inductive and deductive reasoning.
[ Lesson #2 - Proof ]
Math Standards 2.0 - Students write geometric proofs, including proofs by contradiction.
[ Lesson #3 - Counterexample ]
Math Standards 3.0 - Students construct and judge the validity of a logical argument and give
counterexamples to disprove a statement.
[ Lesson #4 - Congruent & Similar ]
Math Standards 4.0 - Students prove basic theorems involving congruence and similarity.
[ Lesson #5 - Congruent Triangles ]
Math Standards 5.0 - Students prove that triangles are congruent or similar, and they are able to use
the concept of corresponding parts of congruent triangles.
[ Lesson #6 - Sides of Triangle ]
Math Standards 6.0 - Students know and are able to use the triangle inequality theorem.
[ Lesson #7 - Quadrangle & Circle ]
Math Standards 7.0 - Students prove and use theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilaterals, and the properties of circles.
[ Lesson #8 - Area & Volume 1 ]
Math Standards 8.0 - Students know, derive, and solve problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures.
[ Lesson #9 - Area & Volume 2 ]
Math Standards 9.0 - Students compute the volumes and surface areas of prisms, pyramids, cylinders,
cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders.
[ Lesson #10 - Area & Volume 3 ]
Math Standards 10.0 - Students compute areas of polygons, including rectangles, scalene triangles, equilateral triangles, rhombi, parallelograms, and trapezoids.
[ Lesson #11 - Area & Volume 4 ]
Math Standards - 11.0 Students determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids.
[ Lesson #12-13 - Types of Angles ]
Math Standards 12.0 Students find and use measures of sides and of interior and exterior angles of triangles and polygons to classify figures and solve problems.
13.0 - Students prove relationships between angles in polygons by using properties of complementary, supplementary, vertical, and exterior angles.
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[ Lesson #14-15 Pythagorean Theorem ]
Math Standards 14.0 - Students prove the Pythagorean theorem.
Math Standards 15.0 - Students use the Pythagorean theorem to determine distance and find missing
lengths of sides of right triangles.
[ Lesson #16 - Using Edge & Compass ]
Math Standards 16.0 - Students perform basic constructions with a straightedge and compass, such as
angle bisectors, perpendicular bisectors, and the line parallel to a given line through a point off the line.
[ Lesson #17 - Proof ]
Math Standards 17.0 - Students prove theorems by using coordinate geometry, including the midpoint
of a line segment, the distance formula, and various forms of equations of lines and circles.
[ Lesson #18 - Trigonometry 1 ]
Math Standards 18.0 - Students know the definitions of the basic trigonometric functions defined by
the angles of a right triangle. They also know and are able to use elementary relationships between them. For example, tan(x) = sin(x)/cos(x), (sin(x))2 +(cos(x)) 2 = 1.
[ Lesson #19 - Trigonometry 2 ]
Math Standards 19.0 - Students use trigonometric functions to solve for an unknown length of a side of a right triangle, given an angle and a length of a side.
[ Lesson #20 - Special Triangle ]
Math Standards 20.0 - Students know and are able to use angle and side relationships in problems with special right triangles, such as 30°, 60°, and 90° triangles and 45°, 45°, and 90° triangles.
[ Lesson #21 - Circle ]
Math Standards 21.0 - Students prove and solve problems regarding relationships among chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of circles.
[ Lesson #22 - Transformation ]
Math Standards 22.0 - Students know the effect of rigid motions on figures in the coordinate plane and space, including rotations, translations, and reflections.
