where students teach themselves
A comprehensive geometry curriculum
Geometry for School and Home
Objective: Use the Distance Formula to classify triangles as acute, right or obtuse.
Objective: Use slope and the Distance Formula to classify quadrilaterals.
Objectives: Identify algebraic coordinates of points (coordinates containing variables). Plot points with algebraic coordinates.
Objectives: Identify algebraic coordinates of points that include sums and products with variables. Plot points that include algebraic sums and products as coordinates.
Objective: Write slopes of lines determined by points with algebraic coordinates.
Objective: Find slopes of lines determined by points with algebraic coordinates in order to identify parallel and perpendicular lines.
Objective: Use the Distance Formula to write algebraic expressions for the distance between points with algebraic coordinates.
Objective: Use the Distance formula to determine whether line segments with endpoints having algebraic coordinates are congruent.
Objective: Write algebraic coordinates for the midpoints of line segments using the algebraic coordinates of the endpoints.
Objectives: Write algebraic coordinates for the midpoints of pairs of intersecting line segments. Identify line segments that bisect each other.
Objective: Use slope and the Distance Formula to classify polygons with algebraic coordinates.
Objectives: Classify polygons by comparing the algebraic coordinates of their vertices to standard coordinates. Complete algebraic coordinates for vertices of polygons.
Objective: Use the Distance Formula to demonstrate algebraic proofs of theorems about: quadrilaterals, diagonals of quadrilaterals, midpoints of sides of triangles and quadrilaterals, and medians.
Objective: Use formulas for slopes and midpoints to demonstrate algebraic proofs of theorems about triangles and quadrilaterals.
Objective: Develop and apply the Distance Formula for finding the distance between two points on a coordinate plane.
Objectives: Use the Pythagorean Theorem to calculate the length of the hypotenuse in right triangles on a grid and on a coordinate axis.
Objective: Use slope and the Distance Formula to determine if diagonals of quadrilaterals are congruent, perpendicular, or bisect each other.
Objective: Use the Distance Formula to find lengths of sides in triangles and quadrilaterals and classify triangles as isosceles or scalene, and quadrilaterals as parallelograms, rhombuses, or kites.