Geometry Honors Academic Library (1st Semester)

Geometry Honors is a full year, high school math course for the student who has successfully completed the prerequisite course, Algebra I. The first semester of this honor's course focuses on the foundations of geometry, geometric transformations, angles and lines, triangles, triangle congruence, and similarity transformations,

These supplementary videos with most lessons are in addition to the video instruction of your online lessons and work with the Academy teachers. They are not the curriculum but are aligned to the daily lesson material. They are available 24/7 on this website when you may need some more instruction and practice on an assignment.

These honor level courses from Edgenuity are not written from a biblical worldview and you may find some material that is different from that view we hold---from our web page on a biblical worldview “we look to the Bible for our beliefs and how we should operate. We believe students at this level can use wisdom in such courses, but if you are uncomfortable please select from our Ignitia course offerings.

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THE STUDENT EXPERIENCE

MATH COURSE

GEOMETRY HONORS ONLINE

Unit 1: Foundations of Euclidean Geometry

Euclidean Geometry Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - What are the basic tools of Euclidean geometry?
  1. Point Line Plane
3. Summary - Review and connect what you learned.
4. Assignment - Practice describing and identifying undefined terms.
5. Quiz Answers
Defining Terms Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How can undefinable terms be used to create precise mathematical definitions?
  1. Lines, line segments, & rays
  2. Building blocks of geometry
3. Summary - Review and connect what you learned.
4. Assignment - Practice using undefined terms in definitions and when analyzing diagrams.
5. Quiz Answers
Measuring Length and Angles Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How can you find the measures of line segments and angles?
  1. Angles: introduction
  2. Acute, right, & obtuse angles
  3. Measuring Line Segments
3. Summary - Review and connect what you learned.
4. Assignment - Practice determining the measures of line segments and angles.
5. Quiz Answers
Introduction to Proof Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - What is necessary to prove a statement is true?
  1. Geometry Lessons: Postulates, Theorems, Proofs
3. Summary - Review and connect what you learned.
4. Assignment - Practice with proofs.
5. Short Writing - Write about students’ claims using deductive reasoning.
6. Quiz Answers
Linear Pairs and Vertical Angles Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - What angle relationships are formed when lines intersect?
  1. Angle relationships example
3. Summary - Review and connect what you learned.
4. Assignment - Practice with linear pairs and vertical angles.
5. Quiz Answers
Complementary and Supplementary Angles Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How are angle relationships used to solve for angle measures?
3. Summary - Review and connect what you learned.
4. Assignment - Practice solving problems involving complementary and supplementary angles.
5. Quiz Answers
Performance Task: Constructions
1. Warm-Up - Get ready for the lesson.
2. Instruction - How do you "construct" with a compass and straightedge?
  1. Copying a segment
  2. Copying an angle
3. Preparing for Your Performance Task - Prepare to do and justify constructions in a Performance Task.
4. Performance Task - Show what you know about constructions.
Unit Test
1. Unit Test Review Answers
2. Unit Test Answers

Unit 2: Geometric Transformations

Introduction to Transformations Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How can you determine if a figure has been transformed and, if so, the type of transformation?
  1. Motion Geometry Rotations, Reflections and Translations
  2. Transformational Geometry (Translations, Rotations, Reflections)
3. Summary - Review and connect what you learned.
4. Assignment - Practice working with transformations.
5. Quiz Answers
Reflections Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How are reflections described mathematically?
  1. Performing reflections: rectangle (old)
  2. Performing reflections: line (old)
3. Summary - Review and connect what you learned.
4. Assignment
5. Practice working with reflections.
6. Quiz Answers
Translations Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How are translations described mathematically?
  1. Performing translations (old)
  2. Translating points
3. Summary - Review and connect what you learned.
4. Assignment - Practice translating figures.
5. Quiz Answers
Rotations Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How are rotations defined mathematically?
  1. Rotating points
  2. Determining rotations
3. Summary - Review and connect what you learned.
4. Assignment - Practice with rotations..
5. Quiz Answers
Compositions Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - What does it mean to compose transformations?
  1. Composition of Transformations: Examples
3. Summary - Review and connect what you learned.
4. Assignment - Practice composing transformations and writing rules for a sequence of transformations.
5. Quiz Answers
Symmetry Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How can you identify symmetry in a figure?
  1. Introduction to Symmetry
  2. Lines and Types of Symmetry in Geometric Figures
3. Summary - Review and connect what you learned.
4. Assignment - Practice identifying reflectional and rotational symmetry.
5. Quiz Answers
Performance Task: Tessellations
1. Warm-Up - Get ready for the lesson.
2. Instruction - What is the structure of tessellations and how are they created?
  1. What Is A Tessellation In Math
  2. What is a Tessellation?
3. Summary - Review and connect what you learned.
4. Preparing for Your Performance Task - Prepare to show what you know about tessellations in a Performance Task.
5. Performance Task - Show what you know about tessellations.
Unit Test
1. Unit Test Review Answers
2. Unit Test Answers

Unit 3: Angles and Lines

Parallel and Perpendicular Lines Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - What special relationships exist between two lines or a line segment and a line?
  1. Parallel & perpendicular lines
3. Summary - Review and connect what you learned.
4. Assignment - Practice with parallel and perpendicular lines.
5. Quiz Answers
Lines Cut by a Transversal Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - What angle relationships are formed when parallel lines are cut by a transversal?
  1. Angles, parallel lines, & transversals
  2. Measures of angles formed by a transversal
3. Summary - Review and connect what you learned.
4. Assignment - Practice with lines cut by a transversal.
5. Quiz Answers
Proving Lines Parallel Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How can you use angle measures to prove that lines are parallel?
  1. Parallel lines & corresponding angles proof
  2. Proving Parallel Lines With Two Column Proofs
3. Summary - Review and connect what you learned.
4. Assignment - Practice writing proofs and solving problems using converses of the parallel line theorems.
5. Quiz Answers
Slopes of Parallel and Perpendicular Lines Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - What is the relationship between slopes of parallel or perpendicular lines?
  1. Parallel & perpendicular lines from graph
3. Summary - Review and connect what you learned.
4. Assignment - Practice using slope to solve problems with parallel and perpendicular lines.
5. Quiz Answers
Writing Linear Equations Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How do you write equations of lines given that they are parallel or perpendicular to a given line?
  1. Writing equations of perpendicular lines
  2. Parallel lines from equation
3. Summary - Review and connect what you learned.
4. Assignment - Practice writing equations of parallel and perpendicular lines.
5. Quiz Answers
Unit Test
1. Unit Test Review Answers
2. Unit Test Answers

Unit 4: Triangles

Triangle Angle Theorems Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How are the interior and exterior angles of a triangle related?
  1. Exterior and Remote Interior Angles in a Triangle
3. Summary - Review and connect what you learned.
4. Assignment - Practice relating and calculating the measures of interior and exterior angles of a triangle.
5. Quiz Answers
Triangles and Their Side Lengths Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How are the angles and side lengths within triangles related?
  1. Triangle inequality theorem
3. Summary - Review and connect what you learned.
4. Assignment - Practice determining angle measure and side length relationships within triangles.
5. Quiz Answers
Triangle Inequalities Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction -What are the relationships between side lengths and angle measures of triangles?
  1. Ordering triangle sides and angles example
3. Summary - Review and connect what you learned.
4. Assignment - Practice relating the side lengths and angle measures of one or two triangles.
5. Quiz Answers
Isosceles Triangles Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - What properties do isosceles triangles have?
  1. Proofs concerning isosceles triangles
  2. The Isosceles Triangle Theorem
3. Summary - Review and connect what you learned.
4. Assignment - Practice applying isosceles triangle theorems to solve problems.
5. Quiz Answers
Centroid and Orthocenter Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - What are the centroid and orthocenter of a triangle?
  1. Triangle medians & centroids
  2. Proof: Triangle altitudes are concurrent (orthocenter)
3. Summary - Review and connect what you learned.
4. Assignment - Practice with orthocenters and centroids.
5. Quiz Answers
Incenter and Circumcenter Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - What are the incenter and circumcenter of a triangle?
  1. Incenter and incircles of a triangle
  2. Circumcenter of a triangle
3. Summary - Review and connect what you learned.
4. Assignment - Practice using the characteristics of the incenter and circumcenter of a triangle.
5. Quiz Answers
Unit Test
1. Unit Test Review Answers
2. Unit Test Answers

Unit 5: Triangle Congruence

Congruent Figures Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - What does it mean for two figures to be congruent?
  1. Congruent shapes & transformations
3. Summary - Review and connect what you learned.
4. Assignment - Practice working with congruent figures.
5. Quiz Answers
Triangle Congruence: SAS Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - Are triangles congruent if two pairs of corresponding sides and one pair of angles are congruent?
  1. Triangle congruence postulates/criteria
3. Summary - Review and connect what you learned.
4. Assignment - Practice using the SAS congruence theorem.
5. Quiz Answers
Triangle Congruence: ASA and AAS Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - What additional information is necessary to prove triangle congruency, given a pair of congruent corresponding angles?
  1. Triangle Congruence Theorems: ASA or AAS?
3. Summary - Review and connect what you learned.
4. Assignment - Practice using ASA and AAS congruence theorems.
5. Quiz Answers
Triangle Congruence: SSS and HL Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - Are triangles congruent if three pairs of corresponding sides are congruent?
  1. Corresponding parts of congruent triangles are congruent
  2. What is the HL Theorem - Congruent Triangles
3. Summary - Review and connect what you learned.
4. Assignment - Practice using the SSS and HL congruence theorems.
5. Short Writing - Write a paragraph proof.
6. Quiz Answers
Using Triangle Congruence Theorems Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How can you prove that corresponding parts of congruent triangles are congruent?
  1. Corresponding parts of congruent triangles are congruent
  2. CPCTC Geometry Proofs Made Easy, Triangle Congruence - SSS, SAS, ASA, & AAS, Two Column Proofs
3. Summary - Review and connect what you learned.
4. Assignment - Practice with congruency theorems and CPCTC.
5. Quiz Answers
Performance Task: Congruency Proofs
1. Warm-Up - Get ready for the lesson.
2. Preparing for Your Performance Task - Prepare to show what you know about writing proofs in a Performance Task.
3. Performance Task - Show what you know about congruency proofs.
Unit Test
1. Unit Test Review Answers
2. Unit Test Answers

Unit 6: Similarity Transformations

Dilations Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How is a scale factor used to find measures in figures under a dilation?
  1. Dilations
3. Summary - Review and connect what you learned.
4. Assignment - Practice solving dilation problems.
5. Quiz Answers
Similar Figures Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How can you use dilations in the coordinate plane to create similar figures?
  1. Intro to triangle similarity
3. Summary - Review and connect what you learned.
4. Assignment - Practice with dilations and similar figures.
5. Quiz Answers
Triangle Similarity: AA Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How can similarity transformations and the AA similarity theorem be used to prove triangles are similar?
  1. Triangle similarity postulates/criteria
3. Summary - Review and connect what you learned.
4. Assignment - Practice identifying similarity transformations.
5. Quiz Answers
Triangle Similarity: SSS and SAS Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How can the SSS and SAS similarity theorems be used to prove triangles are similar?
  1. Determining similar triangles
3. Summary - Review and connect what you learned.
4. Assignment - Practice applying the SSS and SAS similarity theorems.
5. Quiz Answers
Using Triangle Similarity Theorems Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - How can similar triangles be created by drawing lines through a triangle?
3. Summary - Review and connect what you learned.
4. Assignment - Practice applying the side-splitter theorem, its converse, and the triangle midsegment theorem.
5. Quiz Answers
Right Triangle Similarity Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - What relationships are formed when the altitude from the right angle of a triangle is drawn?
  1. Geometry - Right Triangle Similarity, Geometric Mean
  2. Similar Right Triangles
3. Summary - Review and connect what you learned.
4. Assignment - Practice with right triangle similarity.
5. Quiz Answers
Directed Line Segments and Modeling Guided Notes
1. Warm-Up - Get ready for the lesson.
2. Instruction - What is a directed line segment, and what does it mean to partition it?
  1. Finding a point part way between two points
3. Summary - Review and connect what you learned.
4. Assignment - Practice with directed line segments.
5. Quiz Answers
Unit Test
1. Unit Test Review Answers
2. Unit Test Answers

Unit 7: Cumulative Exam

Cumulative Exam Review Answers
Cumulative Exam Answers