Reasoning & Proof: Using Logic (Geometry - Unit 2)

Teacher Mine
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Grade Levels
8th - 12th, Homeschool
Subjects
Standards
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Pages
143 pages
$24.00
$24.00
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  1. Cover ALL THE ANGLES with this Geometry Full Curriculum Bundle!This is a bundle that currently contains presentation notes, glossaries, practice worksheets, section quizzes, unit tests, study guides, weekly reviews, quarter tests, bellringers, and all items do have keys included. Updates may be adde
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Description

Have you ever asked a student how they got their answers? You probably heard a response like "I don't know. I just did it in my head." Well, as you know Geometry requires students to think logically and to explain their thinking, and that is what this unit focuses on. This unit will walk you through inductive reasoning all the way to proofs.

This is a unit bundle that currently contains presentation notes, student follow-along notes handouts, glossary, glossary cards, 9 practice worksheets, 2 mini-quizzes, 9 section quizzes, 1 mid-unit quiz, a study guide, and 3 unit test versions. Other items will be added over time, and the price will be modified as necessary during this process.

I am and have been a high school Geometry teacher for 20+ years, and all of the content has been used in my classroom.

The notes introduce each concept along with a few examples. They are in-depth enough to cover a topic well, and, at the same time, are brief enough to allow you to add related topics/examples of your choice without being overwhelming or stifling your own creativity/flexibility.

The topics included are:

1) Conjectures and counterexamples

2) Conditionals - including identifying the hypothesis and conclusion, drawing Euler diagrams, and negations

3) Variations of conditionals - including converse, inverse, contrapositive

4) Biconditionals and good definitions

5) Truth tables - including conjunctions, disjunctions, conditionals, and biconditionals

6) Deductive reasoning - including Law of Detachment & Law of Syllogism

7) Basic proofs - including using definitions, algebraic properties of equality/congruence, Vertical Angles Theorem, Congruent Complements Theorem, and Congruent Supplements Theorem

8) Vocabulary - 26 terms along with relevant symbols

The preview contains a sampling of the notes, assessments, and practice.

Related Units

Geometry Basics: Introducing Points, Lines, Planes, & Angles (Geometry - Unit 1)

Parallel & Perpendicular Lines (Geometry - Unit 3)

2D & 3D Shapes: Perimeter, Area, & Volume (Geometry - Unit 4)

Congruence (Geometry - Unit 5)

Transformations (Geometry - Unit 6)

Relationships in Triangles (Geometry - Unit 7)

Constructions (Geometry - Unit 8)

Quadrilaterals (Geometry - Unit 9)

Similarity (Geometry - Unit 10)

Right Triangles & Trigonometry (Geometry - Unit 11)

Circles (Geometry - Unit 12)

Geometry Full Curriculum

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Total Pages
143 pages
Answer Key
Included
Teaching Duration
3 Weeks
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Standards

to see state-specific standards (only available in the US).
Prove theorems about lines and angles.

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