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Common Core Standards

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1 MB|51 pages

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- Proofs and Parallel Lines Digital Unit compatible with Google Slides Lesson 3.1: Exploring Angles formed by Parallel Lines and their Transversals Lesson 3.2: Writing Equations to Solve for Unknown Angles Lesson 3.3: Basic Proofs Lesson 3.4: Prove Theorems about Lines and Angles Lesson 3.5: Prove T$71.90$57.52Save $14.38

Product Description

Proving Theorems about Triangles

• Materials: device with internet, google account

• Prerequisite Skills:

There are many prerequisite justifications for this lesson. they are listed in the lesson to refresh the mind, but not defined or explained. Definitions include: parallel lines, perpendicular lines, complementary angles, supplementary angles, congruent angles, right angles, vertical angles, linear pairs

• Interior and exterior angles of a triangle are explicitly defined with visuals.

Isosceles triangles are defined.

• Base Angles of an Isosceles Triangle Theorem is shown, but will be proven when students study congruent triangles. The theorem is used as a justification, as well as solving for variables in more traditional problems.

• The triangle sum theorem and exterior angles of a triangle theorem are proven as part of this lesson. These proofs are scaffolded to help develop skills for writing proofs. A proof using base angles of an isosceles triangle theorem follows these proofs.

• A quick lesson summary helps students reflect upon the new theorems learned.

• 5 Practice proofs follow the lesson and may be used as an assignment or formative assessment

• The 6th practice problem is a set of 4 figures that ask students to solve for the variable. Transferring the meaning of the new theorems will be used to solve these 4 problems.

• If you would not like your students to have the answers to grade as they go, simply delete those slides before sharing the file with your students.

• Note: Lesson format is compatible with Google slides®

• Answer keys included

• Materials: device with internet, google account

• Prerequisite Skills:

There are many prerequisite justifications for this lesson. they are listed in the lesson to refresh the mind, but not defined or explained. Definitions include: parallel lines, perpendicular lines, complementary angles, supplementary angles, congruent angles, right angles, vertical angles, linear pairs

• Interior and exterior angles of a triangle are explicitly defined with visuals.

Isosceles triangles are defined.

• Base Angles of an Isosceles Triangle Theorem is shown, but will be proven when students study congruent triangles. The theorem is used as a justification, as well as solving for variables in more traditional problems.

• The triangle sum theorem and exterior angles of a triangle theorem are proven as part of this lesson. These proofs are scaffolded to help develop skills for writing proofs. A proof using base angles of an isosceles triangle theorem follows these proofs.

• A quick lesson summary helps students reflect upon the new theorems learned.

• 5 Practice proofs follow the lesson and may be used as an assignment or formative assessment

• The 6th practice problem is a set of 4 figures that ask students to solve for the variable. Transferring the meaning of the new theorems will be used to solve these 4 problems.

• If you would not like your students to have the answers to grade as they go, simply delete those slides before sharing the file with your students.

• Note: Lesson format is compatible with Google slides®

• Answer keys included

Total Pages

51 pages

Answer Key

Included

Teaching Duration

1 hour

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