where students teach themselves
A comprehensive geometry curriculum
Geometry for School and Home
Objectives: Name included sides and angles in triangles. Identify pairs of triangles with congruent angle pairs included between congruent side pairs. Identify pairs of triangles with congruent side pairs included between congruent angle pairs.
Objectives: Identify conditions that justify triangle congruence. Given pairs of triangles with pairs of congruent sides and angles, identify the triangles that are congruent and the justifying condition.
Objectives: Identify the hypothesis and conclusion in conditional sentences. Write sentences as conditionals. Demonstrate conditionals using Euler Diagrams.
Objectives: Write and identify the converse, inverse, and contrapositive of a conditional sentence. Write logically equivalent sentences.
Objectives: Write conclusions for syllogisms. Arrange in order conditional sentences to make logical chains and write conditional conclusions.
Objectives: Write conclusions for arguments using the Law of Detachment. Write conditional premises to complete arguments with given conclusions using the Law of Detachment.
Objective: Complete arguments based on the Law of Detachment using flow chart and two column form.
Objective: Complete and create proofs of congruent triangles using flow charts.
Objective: Complete and create proofs of congruent trianlges using two column form
Objective: Complete and create proofs of congruent triangles involving definitions and theorems (midpoints, isosceles triangles, angle bisectors, perpendicular lines) using flow charts.
Objective: Complete and create proofs of congruent triangles involving definitions and theorems (midpoints, isosceles triangles, angle bisectors, perpendicular lines) using two column form.
Objective: Complete and create congruent triangle proofs in triangles with a pair of parallel sides with alternate interior angles.
Objective: Complete and wriite congruent triangle proofs using paragraph form.
Objective: Complete and create proofs that use congruent triangles to prove corresponding parts (pairs of angles or sides) congruent (CPCTC).
Objectives: Write contradictions of statements. Complete indirect proofs.
Objective: Complete proofs in flow chart form that use congruent triangles and CPCTC to prove geometric relationships.
Objective: Complete proofs in two column form that use congruent triangles and CPCTC to prove geometric relationships.
Objectives: Name pairs of congruent sides and congruent angles in triangles. Name pairs of congruent legs and congruent hypotenuses in right triangles. Identify congruent pairs using S (sides), A (angles), L (legs), and H (hypotenuse).
Objectives: Name corresponding vertices of congruent triangles. Name congruent triangles and pairs of congruent sides and congruent angles.
Objectives: Given triangles with pairs of congruent sides and angles, identify congruent triangles. Name congruent triangles and justify by a condition for congruence (SSS, SAS, ASA, AAS, HL).
Objective: Use congruent triangles to prove side and diagonal relationships in parallelograms, rectangles, rhombuses, and isosceles trapezoids.