Standards
G.1.D: Write the converse, inverse, and contrapositive of a valid proposition and determine their validity.
Biconditional Statements
Conditional Statements
G.2.B: Know, prove, and apply theorems about angles, including angles that arise from parallel lines intersected by a transversal
G.2.C: Explain and perform basic compass and straightedge constructions related to parallel and perpendicular lines.
Constructing Congruent Segments and Angles
Constructing Parallel and Perpendicular Lines
G.2.D: Describe the intersections of lines in the plane and in space, of lines and planes, and of planes in space.
Cat and Mouse (Modeling with Linear Systems)
Concurrent Lines, Medians, and Altitudes
Parallel, Intersecting, and Skew Lines
Solving Equations by Graphing Each Side
G.3.A: Know, explain, and apply basic postulates and theorems about triangles and the special lines, line segments, and rays associated with a triangle.
Isosceles and Equilateral Triangles
Triangle Inequalities
G.3.B: Determine and prove triangle congruence, triangle similarity, and other properties of triangles.
Congruence in Right Triangles
Proving Triangles Congruent
Similar Figures
Triangle Angle Sum
Triangle Inequalities
G.3.C: Use the properties of special right triangles (30°-60°-90° and 45°-45°-90°) to solve problems.
Cosine Function
Sine Function
Tangent Function
G.3.D: Know, prove, and apply the Pythagorean Theorem and its converse.
Circles
Cosine Function
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Sine Function
Surface and Lateral Areas of Pyramids and Cones
Tangent Function
G.3.E: Solve problems involving the basic trigonometric ratios of sine, cosine, and tangent.
Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function
G.3.F: Know, prove, and apply basic theorems about parallelograms.
Parallelogram Conditions
Special Parallelograms
G.3.G: Know, prove, and apply theorems about properties of quadrilaterals and other polygons.
Parallelogram Conditions
Special Parallelograms
G.3.H: Know, prove, and apply basic theorems relating circles to tangents, chords, radii, secants, and inscribed angles.
Chords and Arcs
Inscribed Angles
G.3.J: Describe prisms, pyramids, parallelepipeds, tetrahedra, and regular polyhedra in terms of their faces, edges, vertices, and properties.
Pyramids and Cones
Surface and Lateral Areas of Pyramids and Cones
G.4.A: Determine the equation of a line in the coordinate plane that is described geometrically, including a line through two given points, a line through a given point parallel to a given line, and a line through a given point perpendicular to a given line.
Point-Slope Form of a Line
Points, Lines, and Equations
Slope
Slope-Intercept Form of a Line
G.4.D: Determine the equation of a circle that is described geometrically in the coordinate plane and, given equations for a circle and a line, determine the coordinates of their intersection(s).
G.5.A: Sketch results of transformations and compositions of transformations for a given two-dimensional figure on the coordinate plane, and describe the rule(s) for performing translations or for performing reflections about the coordinate axes or the line y = x.
Dilations
Rotations, Reflections, and Translations
Translations
G.5.B: Determine and apply properties of transformations.
Circles
Dilations
Reflections
Rotations, Reflections, and Translations
Translations
G.5.D: Describe the symmetries of two-dimensional figures and describe transformations, including reflections across a line and rotations about a point.
G.6.C: Apply formulas for surface area and volume of three-dimensional figures to solve problems.
Prisms and Cylinders
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones
Correlation last revised: 1/20/2017