Curriculum Framework
G.CO.9: Prove theorems about lines and angles.
G.CO.10: Prove theorems about triangles.
Pythagorean Theorem
Triangle Angle Sum
Triangle Inequalities
G.CO.11: Prove theorems about parallelograms.
Parallelogram Conditions
Special Parallelograms
G.CO.12: Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).
Constructing Congruent Segments and Angles
Constructing Parallel and Perpendicular Lines
G.SRT.4: Prove theorems about triangles.
Pythagorean Theorem
Similar Figures
G.SRT.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Dilations
Perimeters and Areas of Similar Figures
Similarity in Right Triangles
G.SRT.6: Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
Sine, Cosine, and Tangent Ratios
G.SRT.8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Sine, Cosine, and Tangent Ratios
G.C.5: Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
G.GPE.7: Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
G.GMD.1: Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone.
Circumference and Area of Circles
Prisms and Cylinders
Pyramids and Cones
G.GMD.3: Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
Prisms and Cylinders
Pyramids and Cones
Correlation last revised: 5/8/2018