 Mathematics
 364 (Registered)

Credit Value: 1
Anticipated Grade Level(s): 9^{th} or 10^{th}
Prerequisites: Algebra 1 or equivalent. In exceptional situations, Geometry may be taken simultaneously with Algebra 1 with teacher approval.
Course Description: In Geometry students develop reasoning and problemsolving skills as they study topics such as congruence and similarity; apply properties of lines, triangles, quadrilaterals, and circles; and use length, perimeter, area, circumference, surface area, and volume to solve realworld problems. In addition to its geometry content, the course includes numerous examples and exercises involving algebra, data analysis, and probability.
Aims & Goals: The development of geometric reasoning prepares the student for subsequent mathematics courses, particularly precalculus and calculus. It is also important as preparation for standardized tests.
Course Content

Chapter 1: Essentials of Geometry Basic elements of Geometry 0/13

Lecture1.1Identify Points, Lines, and Planes

Quiz1.1Geometry Quiz 1.1 5 questions10 min

Lecture1.2Use Segments and Congruence

Quiz1.2Geometry Quiz 1.2 5 questions10 min

Lecture1.3Use Midpoint and Distance Formulas

Quiz1.3Geometry Quiz 1.3 5 questions10 min

Lecture1.4Measure and Classify Angles

Quiz1.4Geometry Quiz 1.4 5 questions10 min

Lecture1.5Describe Angle Pair Relationships

Quiz1.5Geometry Quiz 1.5 5 questions10 min

Lecture1.6Classify Polygons

Quiz1.6Geometry Quiz 1.6 5 questions10 min

Quiz1.7Chapter 1 TEST Essentials of Geometry 21 questions40 min


Chapter 2: Reasoning and Proof Reasoning and developing Proof. 0/15

Lecture2.1Use Inductive Reasoning

Quiz2.1Geometry Quiz 2.1 6 questions10 min

Lecture2.2Analyze Conditional Statements

Quiz2.2Geometry Quiz 2.2 5 questions10 min

Lecture2.3Apply Deductive Reasoning

Quiz2.3Geometry Quiz 2.3 5 questions10 min

Lecture2.4Use Postulates and Diagrams

Quiz2.4Geometry Quiz 2.4 3 questions10 min

Lecture2.5Reason Using Properties from Algebra

Quiz2.5Geometry Quiz 2.5 5 questions10 min

Lecture2.6Prove Statements about Segments and Angles

Quiz2.6Geometry Quiz 2.6 1 question10 min

Lecture2.7Prove Angle Pair Relationships

Quiz2.7Geometry Quiz 2.7 5 questions20 min

Lecture2.8Chapter TEST Reasoning and Proof


Chapter 3: Parallel and Perpendicular Lines Properties of Parallel and Perpendicular lines. 0/13

Lecture3.1Identify Pairs of Lines and Angles

Quiz3.1Geometry Quiz 3.1 2 questions10 min

Lecture3.2Use Parallel Lines and Transversals

Quiz3.2Geometry Quiz 3.2 4 questions10 min

Lecture3.3Prove Lines are Parallel

Quiz3.3Geometry Quiz 3.3 4 questions10 min

Lecture3.4Find and Use Slopes of Lines

Quiz3.4Geometry Quiz 3.4 4 questions10 min

Lecture3.5Write and Graph Equations of Lines

Quiz3.5Geometry Quiz 3.5 5 questions10 min

Lecture3.6Prove Theorems about Perpendicular Lines

Quiz3.6Geometry Quiz 3.6 4 questions10 min

Lecture3.7Chapter TEST Parallel and Perpendicular Lines


Chapter 4: Congruent Triangles Congruent triangles are triangles that are the same size and shape. 0/19

Lecture4.1Apply Triangle Sum Properties

Quiz4.1Geometry Quiz 4.1 0 question10 min

Lecture4.2Apply Congruence and Triangles

Quiz4.2Geometry Quiz 4.2 0 question10 min

Lecture4.3Transformations and Congruence

Quiz4.3Geometry Quiz 4.3 0 question10 min

Lecture4.4Prove Triangles Congruent by SSS

Quiz4.4Geometry Quiz 4.4 0 question10 min

Lecture4.5Prove Triangles Congruent by SAS and HL

Quiz4.5Geometry Quiz 4.5 0 question10 min

Lecture4.6Prove Triangles Congruent by ASA and AAS

Quiz4.6Geometry Quiz 4.6 0 question10 min

Lecture4.7Use Congruent Triangles

Quiz4.7Geometry Quiz 4.7 0 question10 min

Lecture4.8Use Isosceles and Equilateral Triangles

Quiz4.8Geometry Quiz 4.8 0 question10 min

Lecture4.9Perform Congruence Transformations

Quiz4.9Geometry Quiz 4.9 0 question10 min

Lecture4.10Chapter TEST Congruent Triangles


Chapter 5: Relationships within Triangles Properties of triangles: bisectors of Sides and bisectors of Angles 0/13

Lecture5.1Midsegment Theorem and Coordinate Proof

Quiz5.1Geometry Quiz 5.1 0 question10 min

Lecture5.2Use Perpendicular Bisectors

Quiz5.2Geometry Quiz 5.2 0 question10 min

Lecture5.3Use Angle Bisectors of Triangles

Quiz5.3Geometry Quiz 5.3 0 question10 min

Lecture5.4Use Medians and Altitudes

Quiz5.4Geometry Quiz 5.4 0 question10 min

Lecture5.5Use Inequalities in a Triangle

Quiz5.5Geometry Quiz 5.5 0 question10 min

Lecture5.6Inequalities in Two Triangles and Indirect Proof

Quiz5.6Geometry Quiz 5.6 0 question10 min

Lecture5.7Chapter TEST Relationships within Triangles


Chapter 6: Similarity Two polygons are similar if their corresponding angles are congruent 0/13

Lecture6.1Use Similar Polygons

Quiz6.1Geometry Quiz 6.1 0 question10 min

Lecture6.2Transformations and Similarity

Quiz6.2Geometry Quiz 6.2 0 question10 min

Lecture6.3Prove Triangles Similar by AA

Quiz6.3Geometry Quiz 6.3 0 question10 min

Lecture6.4Prove Triangles Similar by SSS and SAS

Quiz6.4Geometry Quiz 6.4 0 question10 min

Lecture6.5Use Proportionality Theorems

Quiz6.5Geometry Quiz 6.5 0 question10 min

Lecture6.6Perform Similarity Transformations

Quiz6.6Geometry Quiz 6.6 0 question10 min

Lecture6.7Chapter TEST Similarity


Chapter 7: Right Triangles and Trigonometry Right triangles and a related branch of mathematics called Trigonometry 0/15

Lecture7.1Apply the Pythagorean Theorem

Quiz7.1Geometry Quiz 7.1 0 question10 min

Lecture7.2Use the Converse of the Pythagorean Theorem

Quiz7.2Geometry Quiz 7.2 0 question10 min

Lecture7.3Use Similar Right Triangles

Quiz7.3Geometry Quiz 7.3 0 question10 min

Lecture7.4Special Right Triangles

Quiz7.4Geometry Quiz 7.4 0 question10 min

Lecture7.5Apply the Tangent Ratio

Quiz7.5Geometry Quiz 7.5 0 question10 min

Lecture7.6Apply the Sine and Cosine Ratios

Quiz7.6Geometry Quiz 7.6 0 question10 min

Lecture7.7Solve Right Triangles

Quiz7.7Geometry Quiz 7.7 0 question10 min

Lecture7.8Chapter TEST Right Triangles and Trigonometry


Chapter 8: Quadrilaterals Foursided figures quadrilaterals and their properties. 0/13

Lecture8.18.1. Find Angle Measures in Polygons

Quiz8.1Geometry Quiz 8.1 6 questions15 min

Lecture8.28.2. Use Properties of Parallelograms

Quiz8.2Geometry Quiz 8.2 6 questions10 min

Lecture8.38.3. Show that a Quadrilateral is a Parallelogram

Quiz8.3Geometry Quiz 8.3 6 questions10 min

Lecture8.48.4. Properties of Rhombuses, Rectangles, and Squares

Quiz8.4Geometry Quiz 8.4 5 questions10 min

Lecture8.58.5. Use Properties of Trapezoids and Kites

Quiz8.5Geometry Quiz 8.5 5 questions10 min

Lecture8.68.6. Identify Special Quadrilaterals

Quiz8.6Geometry Quiz 8.6 5 questions10 min

Lecture8.7Chapter 8. Quadrilaterals TEST


Chapter 9: Properties of Transformations Transformations describe how geometric figures of the same shape are related to one another. 0/15

Lecture9.1Translate Figures and Use Vectors

Quiz9.1Geometry Quiz 9.1 0 question10 min

Lecture9.2Use Properties of Matrices

Quiz9.2Geometry Quiz 9.2 0 question10 min

Lecture9.3Perform Reflections

Quiz9.3Geometry Quiz 9.3 0 question10 min

Lecture9.4Perform Rotations

Quiz9.4Geometry Quiz 9.4 0 question10 min

Lecture9.5Apply Compositions of Transformations

Quiz9.5Geometry Quiz 9.5 0 question10 min

Lecture9.6Identify Symmetry

Quiz9.6Geometry Quiz 9.6 0 question10 min

Lecture9.7Identify and Perform Dilations

Quiz9.7Geometry Quiz 9.7 0 question10 min

Lecture9.8Chapter TEST Properties of Transformations


Chapter 10: Properties of Circles Circles and their properties 0/15

Lecture10.1Use Properties of Tangents

Quiz10.1Geometry Quiz 10.1 0 question10 min

Lecture10.2Find Arc Measures

Quiz10.2Geometry Quiz 10.2 0 question10 min

Lecture10.3Apply Properties of Chords

Quiz10.3Geometry Quiz 10.3 0 question10 min

Lecture10.4Use Inscribed Angles and Polygons

Quiz10.4Geometry Quiz 10.4 0 question10 min

Lecture10.5Apply Other Angle Relationships in Circles

Quiz10.5Geometry Quiz 10.5 0 question10 min

Lecture10.6Find Segment Lengths in Circles

Quiz10.6Geometry Quiz 10.6 0 question10 min

Lecture10.7Write and Graph Equations of Circles

Quiz10.7Geometry Quiz 10.7 0 question10 min

Lecture10.8Chapter TEST Properties of Circles


Chapter 11: Measurement of Figures and Solids Surface area and Volume of solids 0/19

Lecture11.1Circumference and Arc Length

Quiz11.1Geometry Quiz 11.1 0 question10 min

Lecture11.2Areas of Circles and Sectors

Quiz11.2Geometry Quiz 11.2 0 question10 min

Lecture11.3Areas of Regular Polygons

Quiz11.3Geometry Quiz 11.3 0 question10 min

Lecture11.4Use Geometric Probability

Quiz11.4Geometry Quiz 11.4 0 question10 min

Lecture11.5Explore Solids

Quiz11.5Geometry Quiz 11.5 0 question10 min

Lecture11.6Volume of Prisms and Cylinders

Quiz11.6Geometry Quiz 11.6 0 question10 min

Lecture11.7Volume of Pyramids and Cones

Quiz11.7Geometry Quiz 11.7 0 question10 min

Lecture11.8Surface Area and Volume of Spheres

Quiz11.8Geometry Quiz 11.8 0 question10 min

Lecture11.9Explore Similar Solids

Quiz11.9Geometry Quiz 11.9 0 question10 min

Lecture11.10Chapter TEST Measurement of Figures and Solids


Chapter 12: Probability 0/11

Lecture12.1Find Probabilities and Odds

Quiz12.1Geometry Quiz 12.1 0 question10 min

Lecture12.2Find Probabilities Using Permutations

Quiz12.2Geometry Quiz 12.2 0 question10 min

Lecture12.3Find Probabilities Using Combinations

Quiz12.3Geometry Quiz 12.3 0 question10 min

Lecture12.4Find Probabilities of Disjoint and Overlapping Events

Quiz12.4Geometry Quiz 12.4 0 question10 min

Lecture12.5Find Probabilities of Independent and Dependent Events

Quiz12.5Geometry Quiz 12.5 0 question10 min

Lecture12.6Chapter TEST Probability

Instructor
David is the professor of mathematics education at David School and a former Associate Professor of Physics at JNTU. He served as a teacher of mathematics and Physics in various international schools in Asia and Europe. His research focuses on social and cultural factors as well as educational policies and practices that facilitate mathematics engagement, learning, and performance, especially for underserved students. David School collaborates with teachers, schools, districts, and organizations to promote mathematics excellence and equity for young people.
12 rating