where students teach themselves
A comprehensive geometry curriculum
Geometry for School and Home
Objectives: Develop and apply area formulas for rectangles and squares.
Objective: Calculate areas of rectangular regions using addition and subtraction..
Objectives: Develop a formula for areas of triangles. Apply the formula to acute, right, and obtuse triangles.
Objective: Develop and apply a formula for areas of trapezoids.
Objective: Develop and apply a formula for areas of rhombuses and kites.
Objective: Develop and apply a formula for areas of regular polygons.
Objective: Find areas of triangles and quadrilaterals using the Pythagorean Theorem to find lengths of bases and heights.
Objectives: Develop and apply theorems and formulas to find areas of equilateral triangles and regular hexagons.
Objectives: Apply formulas to find area and perimeter of polygons. Use given areas to calculate perimeters. Use given perimeters to calculate areas.
Objective: Develop and apply a theorem relating the areas of similar polygons to the ratio of their scale factors.
Objective: Calculate geometric probabilities determined by areas of polygons.
Objectives: Name faces, edges, and vertices of polyhedrons. Classify polygons. Develop and apply Euler's theorem relating the number of faces, vertices, and edges of polyhedrons.
Objective: Calculate surface area of polyhedrons.
Objectives: Name bases and lateral faces of prisms. Identify rectangular solids and cubes. Identify heights of prisms.
Objective: Develop and apply a formula for finding surface area of prisms.
Objective: Name the base, faces, and vertex of pyramids. Identify the height and slant height of pyramids. Calculate heights and slant heights of pyramids using the Pythagorean Theorem.
Objective: Develop and apply a formula for finding the surface area of regular pyramids.
Objectives: Use congruent polygons to find areas. Calculate areas of polygons by adding or subtracting.
Objective: Count cubes to measure the volume of rectangular solids.
Objectives: Count squares to measure the area of polygons. Use the one-half rule to estimate the area of polygons.
Objective: Develop and apply a formula for areas of parallelograms.
Objective: Develop and apply formulas for the volume of rectangular solids, cubes, and prisms.
Objective: Develop and apply a formula for finding the volume of pyramids.
Objective: Develop and apply a theorem relating scale factors and volumes of similar polyhedrons.