- Course type: Self-paced
- Available Lessons: 18
- Average Lesson Length: 8 min
Eligible for Certificate: Yes
Certificates show that you have completed the course. They do not provide credit.
Watch a preview:chapter 1 / lesson 1Reflection, Rotation & Translation
Course SummaryHelp your geometry instruction meet the Common Core State Standards for math with the fun videos and activity suggestions in this course These lessons work great in the class or as homework, with built-in assessments to gauge student competency of required geometry concepts.
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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
About the Course
Public leaders, educators, and education associations and councils across the U.S. came together to craft the Common Core State Standards (CCSS) to help provide a benchmark for primary and secondary school students' English language arts and mathematics instruction. The math standards focus on a logical progression of topics, providing an evidence-based path toward comprehension of key mathematics principles for career and college readiness. This collection mirrors the Grade 8 Geometry standards, with lessons on congruence and similarity, the Pythagorean Theorem, and 3D shapes.
Our instructors are experienced math teachers, and they provide basic definitions and formulas, discuss the background behind the rules, and provide real-life examples to practice each geometry skill. The videos contain memorable graphics to help students retain key concepts, particularly for those students who benefit from visual learning. The teacher interface allows you to assign specific lessons to individual students as homework when needed, and you can have students complete the lesson quizzes and chapter test to see how they are matching up to the Common Core Standards for 8th grade math.
Rotations, Reflections, and Translations (CCSS.MATH.CONTENT.8.G.A.1)
Standard: Verify experimentally the properties of rotations, reflections, and translations.
The terms rotation, reflection, and translation are defined, and students can see formulas and examples that show how to use them in this lesson.
Two-Dimensional Congruence (CCSS.MATH.CONTENT.8.G.A.2)
Standard: Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
The lesson supporting this standard help students understand how to use symmetries to find congruency.
Representing Two-Dimensional Effects Graphically (CCSS.MATH.CONTENT.8.G.A.3)
Standard: Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
These lessons give in-depth instruction on how to manipulate and find congruence between 2-D shapes with coordinates on a graph.
Two-Dimensional Similarity (CCSS.MATH.CONTENT.8.G.A.4)
Standard: Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
Use these lessons to help your students understand how to find and prove similarity between 2-D shapes.
Angle Sum and Exterior Angle Proofs (CCSS.MATH.CONTENT.8.G.A.5)
Standard: Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.
Instructors describe how to evaluate angles using parallel, transverse, and perpendicular lines and define angles formed by transversals.
Understanding the Pythagorean Theorem (CCSS.MATH.CONTENT.8.G.B.6)
Standard: Explain a proof of the Pythagorean Theorem and its converse.
Lessons under this standard define the Pythagorean Theorem and describe its converse and special cases.
Using the Pythagorean Theorem with Triangles (CCSS.MATH.CONTENT.8.G.B.7)
Standard: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
Present this lesson in class to help students practice applying the Pythagorean Theorem using key formulas and real-world examples.
Using the Pythagorean Theorem with Coordinates (CCSS.MATH.CONTENT.8.G.B.8)
Standard: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Here students learn to use the Pythagorean Theorem to find linear distance.
Cones, Cylinders, and Spheres (CCSS.MATH.CONTENT.8.G.C.9)
Standard: Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
These lessons define cylinders, cones, and spheres, providing formulas to describe them and how to find their area and volume.
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