Geometry Interactive Notebook

This listing is for a Geometry interactive notebook.

There are a total of 12 units that include:

Unit 1 - Intro to Geometry

Unit 2 - Reasoning and Proofs

Unit 3 - Parallel and Perpendicular Lines

Unit 4 - Congruent Triangles

Unit 5 - Triangle Relationships

Unit 6 - Proportions and Similarity

Unit 7 - Quadrilaterals

Unit 8 - Transformations and Symmetry

Unit 9 - Area

Unit 10 - Surface Area and Volume

Unit 11 - Right Triangles and Trigonometry

Unit 12 - Circles

There are two pages for each concept. The first page is used for direct instruction (notes) and the second page is for students to practice the concept. The first page includes a "I can..." statement and the second page includes an area where students can rate themselves on how well they understand the concept. This allows students to look back in their interactive notebook before a test and know which concept they need to study.

The complete break down for each unit is given below:

Unit 1 – Intro to Geometry

• Define and Identify Points, Lines, and Planes

• Define and Classify Angles and their Measures

• Determine Segment Length using Segment Bisectors

• Use the Midpoint Formula

• Use the Distance Formula

• Determine Angle Measures using Angle Bisectors

• Identify and Solve Complementary and Supplementary Angles

• Identify and Solve Vertical Angles

 

Unit 2 – Reasoning and Proofs

• Use Inductive Reasoning

• If-Then Statements (Analyze Conditional Statements)

• Deductive Reasoning

• Properties of Equality and Congruence

• Write Two-Column Proofs

 

Unit 3 – Parallel and Perpendicular Lines

• Identify Parallel and Perpendicular Lines

• Identify Angle Relationships Formed by a Transversal

• Solve for Missing Angles using Angle Relationships

• Prove Lines are Parallel

• Determine the Slope of Parallel and Perpendicular Lines

• Write and Graph Equations of Lines that are Parallel or Perpendicular

 

Unit 4 – Congruent Triangles

• Identify Corresponding Parts

• Write a Congruent Statement

• Determine if Two Triangles are Congruent

• Use SSS and SAS to Prove Two Triangles are Congruent

• Use ASA and AAS to Prove Two Triangles are Congruent

• Use Hypotenuse-Leg Congruence Theorem to Prove Two Triangles are Congruent

• Reflections and Symmetry

 

Unit 5 – Triangle Relationships

• Classify Triangles

• Perpendicular Bisector Theorem

• Angle Bisector Theorem

• Medians and Altitudes

• Triangle Angle Sum Theorem

• Exterior Angle Theorem

• Triangle Inequalities

 

Unit 6 – Proportions and Similarity

• Write Ratios and Solve Proportions

• Determine Similarity of Polygons

• Use the AA Similarity Postulate to Write Similarity Statements

• Use the SSS and SAS Similarity Theorem to Write Similarity Statements

• Determine Scale Factor for Similar Triangles

• Use Proportions to Solve for Segment Lengths in Similar Triangles

• Use the Triangle Proportionality Theorem and its Converse Theorem

 

Unit 7 – Quadrilaterals

• Identify and Classify Polygons

• Angle Measures of Quadrilaterals

• Properties of Parallelograms

• Properties Rhombuses, Rectangles, and Squares (Solving for Angle Measures and Side Lengths)

• Properties of Trapezoids and Solving for Length of the Midsegment

• Angle Measures of Trapezoids

 

Unit 8 – Transformations and Symmetry

• Define Rigid Transformations

o Reflections

o Rotations

o Translations

• Rules for Reflections, Rotations, and Translations

• Perform Rigid Transformations to a Pre-Image

• Rules for Dilations

• Perform Dilations to a Pre-Image

• Identify the Sequence of Transformations and Performing a Sequence of Transformations

• Identify Lines of Symmetry and Degrees of Rotational Symmetry

 

Unit 9 – Area

• Area of Squares and Rectangles

• Area of Triangles

• Area of Parallelograms

• Area of Trapezoids

• Circumference and Area of Circles

 

Unit 10 – Surface Area and Volume

• Identify Types of Solids

• Surface Area of Prisms and Cylinders

• Surface Area of Pyramids and Cones

• Volume of Prisms and Cylinders

• Volume of Pyramids and Cones

• Surface Area and Volume of Spheres

 

Unit 11 – Right Triangles and Trigonometry

• Simplify Square Roots

• Apply the Pythagorean Theorem

• Use the Converse of the Pythagorean Theorem

• Special Right Triangles

o Solve for Hypotenuse and Leg Lengths in 45-45-90 Triangles

o Solve for Hypotenuse and Leg Lengths in 30-60-90 Triangles

• Find Tangent Ratio and Leg Lengths

• Write Sine and Cosine Ratios

• Use Sine and Cosine Ratios to Solve for Missing Length

• Use Trigonometric Ratios to Solve for Missing Length

• Use Inverse Trigonometric Ratios to Solve for Unknown Angle Measures

• Law of Sines and Law of Cosines

 

Unit 12 – Circles

• Identify Parts of a Circle

• Use Properties of Tangents to Determine Missing Length

• Name Minor and Major Arcs and Find Measures

• Calculate Arc Length

• Calculate Sector Area

• Determine the Measures of Inscribed Angles and Arcs

• Properties of Chords

• Angles Inside & Outside of a Circle (Angles Inside Circle Theorem & Angles Outside Circle Theorem)

• Write and Graph the Equation of a Circle


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