School Improvement in Maryland

Lesson Plan: Lesson plans were written by Maryland mathematics educators and could be used when teaching the concepts.

Goal 2 Geometry, Measurement, And Reasoning

Expectation 2.2 The student will apply geometric properties and relationships to solve problems using tools and technology when appropriate.

Indicator 2.2.3 The student will use inductive or deductive reasoning.

Lesson Plan

Concurrent Lines in Triangles
Approximate Time: Two to three 50-minute lessons or one to two 90-minute lessons
Objective: The student will investigate points of concurrency in triangles and apply these concepts to real-world situations.

Lesson Plan

Constructions, Sketches, and Drawings
Approximate Time: One 45-minute lesson and a follow-up for 20 minutes in a subsequent lesson.
Objective: For the students to understand the difference between constructions, sketches, and drawings.

Lesson Plan

Coordinate Proofs
Approximate Time: 50-minute lesson
Objective: The student will use analytic geometry to write coordinate proofs involving midpoint, slope and distance.

Lesson Plan

Different Methods of Construction
Approximate Time: Two to three 50-minute lessons or one to two 90-minute lessons
Objective: For the students to be able to perform geometric constructions using a variety of construction tools, investigate the properties of perpendicular bisectors and angle bisectors, and apply geometric constructions to real-life situations.

Lesson Plan

Flow Chart Proofs
Approximate Time: 50-minute lesson
Objective: Students will be able to identify and apply properties of equality and properties of congruence, write flow chart proofs for organizing deductive arguments, and validate properties of geometric figures and explain the processes used.

Lesson Plan

Justification in Proof
Approximate Time: 50-minute lesson
Objective: Students will be able to identify and apply properties of equality and properties of congruence, and validate properties of geometric figures and explain the processes used.

Lesson Plan

Paragraph Proofs
Approximate Time: 50-minute lesson
Objective: Students will be able to identify and apply properties of equality and properties of congruence, write paragraph proofs for organizing deductive arguments, and validate properties of geometric figures and explain the processes used.

Lesson Plan

Practice with Proofs
Approximate Time: 50-minute lesson
Objective: Students will be able to identify and apply properties of equality and properties of congruence, perform a variety of methods for organizing deductive arguments, and validate properties of geometric figures and explain the processes used.

Lesson Plan

Two-Column Proofs
Approximate Time: 50-minute lesson
Objective: Students will be able to identify and apply properties of equality and properties of congruence, write two-column proofs for organizing deductive arguments, and validate properties of geometric figures and explain the processes used.
Resources for 2.2.3:
Skill Statements | Public Release Items | LESSON PLANS |