- Course type: Self-paced
- Available Lessons: 120
- Average Lesson Length: 8 min
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Watch a preview:chapter 1 / lesson 1Inductive & Deductive Reasoning in Geometry: Definition & Uses
Course SummaryThis Geometry Curriculum Resource & Lesson Plans course is a fully developed resource to help you organize and teach geometry. You can easily adapt the video lessons, transcripts, and quizzes to take full advantage of the comprehensive and engaging material we offer. Make planning your course easier by using our curriculum as a guide.
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Course Practice TestCheck your knowledge of this course with a 50-question practice test.
- Comprehensive test covering all topics
- Detailed video explanations for wrong answers
How It Works
You can use this geometry course as a template for designing and implementing your course. Here are the key components of the course and how you can use them:
- Chapters - Each chapter covers a unit of geometry, from triangle properties and similar polygons to conic sections and geometric solids. Use these chapters as mile markers as you map out your course. We recommend planning to spend a week on each chapter, but you can always allocate the chapters according to the length of your specific geometry course.
- Lessons - Within each chapter are video lessons that further break down topics into bite-sized chunks. These lessons cover single topics like the transitive property of similar triangles or the perpendicular bisector theorem. Each one is often appropriate for a single class.
- Key Terms - Within each lesson are key terms. These are emphasized on screen and in the transcript. As you develop your syllabus, these key terms help you focus on the most important learning objectives. For example, the lesson on algebraic laws and geometric postulates includes key terms like the associative law, the reflexive law, and the symmetric law.
As you work on your geometry lesson plans, save time by incorporating video lessons from this resource. Here's how:
- Introduce Topics - Your students will be in the right mindset for understanding topics like quadrilaterals if you begin class with a short video. It can be a jumping-off point for a lecture, group activity, or class discussion.
- Break Up Lectures - The video format, which often includes animation, helps students visualize topics like triangle congruence proofs and platonic solids.
- Assign For Homework - Each lesson in the course, from an overview of the field to the applications of the law of cosines, can be assigned to your students as homework.
Each video lesson includes a complete transcript. You can utilize these transcripts in several ways:
- Lecture Notes - Do you need a guide as you plan a lecture, such as one on circles and circular arcs or analytical geometry? The transcripts cover each topic in depth, with key terms highlighted for quick reference.
- Student Reading - Perhaps you'd like your students to learn about spheres, but you don't have class time available. Assign the transcript as extra reading.
- Study Tools - When it's time for a unit exam on geometric solids, you can point your students to the transcripts on prisms, pyramids, cylinders, and related topics to help them study.
Each video lesson has a corresponding quiz. Here's how to use the quizzes:
- Homework - Assign a quiz to your students as homework. You'll receive an email with the results, which enables you to verify they've completed the assignment and that they've understood the material. Questions cover everything from the properties of multi-dimensional shapes to the theorems used to find the measurements of missing angles or sides.
- Tests - You can meld the material in the quizzes into your own student assessments, saving you valuable time. Need a few questions on parallel lines and polygons? There are plenty!
- Discussions - Jump-start a discussion with questions like: How do you calculate the area of a rhombus?
Below is a sketch of the geometry curriculum modeled on a 13-week course. This sample can be adapted based on your course schedule. Navigate the chapters and lessons for more detail.
|Week||Unit||Sample of Topics Covered|
|Week 1||High School Geometry: Foundations of Geometry||Inductive and deductive reasoning, contributions of Thales and Pythagoras, the axiomatic system, algebraic laws, and geometric postulates|
|Week 2||High School Geometry: Logic in Mathematics||Logical fallacies, propositions and truth tables, conjunctions and disjunctions, conditional statements, logical equivalence, and geometric proofs|
|Week 3||High School Geometry: Introduction to Geometric Figures||Rays and line segments, points and angles, geometric constructions, parallel and perpendicular lines, and angle types|
|Week 4||High School Geometry: Properties of Triangles||Triangle classifications, triangle area and perimeter, interior and exterior angles, similar triangles, and angle bisectors|
|Week 5||High School Geometry: Triangles, Theorems and Proofs||Triangle congruence postulates and proofs, similarity transformations, and the AAS and HL theorems|
|Week 6||High School Geometry: Parallel Lines and Polygons||Transversals, methods for proving parallel lines, the parallel postulate, and polygon area and perimeter|
|Week 7||High School Geometry: Similar Polygons||Ratios and proportions, geometric mean, the angle bisector theorem, transitive properties of similar triangles, and the Pythagorean theorem|
|Week 8||High School Geometry: Quadrilaterals||Parallelogram properties, rhombus area, properties of squares and trapezoids, rectangle area, and Heron's formula|
|Week 9||High School Geometry: Circular Arcs and Circles||Circle area and circumference, central and inscribed angles, tangents and arc length, chords, and secants|
|Week 10||High School Geometry: Conic Sections||Parabola focus and directrix, the foci of ellipses and hyperbolas, and equations for conic sections|
|Week 11||High School Geometry: Geometric Solids||Platonic solids, surface area and volume of prisms, pyramids, cylinders, cones, and spheres|
|Week 12||High School Geometry: Analytical Geometry||Parts of a graph, the midpoint and distance formulas, point-slope and slope-intercept forms of a line, and geometric proofs for polygons|
|Week 13||High School Geometry: Introduction to Trigonometry||The basic trigonometric identities, trigonometric ratios, complementary angles, the law of sines, and the law of cosines|
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