8th Grade Geometry: Volume and Pythagorean Theorem

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In 8th Grade Unit 2, Geometry: Volume and Pythagorean Theorem, is the first geometry unit in the course. In Unit 1 students learned to use algebra to represent geometry problems such as using substitution to apply a geometry formula or creating an equation to represent linear relationships to find the unknown angle or variable. In this unit students will explore volume of 3-Dimensional figures and how to find the dimension or volume of a figure. Students will also explore circles allowing them to find volume of cylinders and spheres. Students will also use irrational numbers as a precursor to exploring right triangles and the application of the Pythagorean Theorem. Again students will learn to solve for the unknown side of a right triangle using the Pythagorean Theorem, substituting values, and solving for the unknown value.PDF is hyper linked with over 100 items. The pfd contains links to:

  • 13 Printable Student Handout with QR code for video instruction

  • 13 Printable Daily Assessment: Mid-Lesson Assessment to check for understanding and/or differentiated flexible groupings

  • 13 Instructional Video Link: Includes Teacher Model and Guided Practice.

  • Google Slide Decks for each lesson

  • Teacher Notes and Answer Key for each lesson

  • Formative Link: e-Copy of the Student Materials on GoFormative.

Also provided is a complete unit overview, a PreTest, PostTest, 1 Quiz and Student Reflections for each assessment. Answer Keys also added on GoFormative for instant data and student feedback. 30 Day free trial of GoFormative.

In 8th Grade Unit 2, Geometry: Volume and Pythagorean Theorem, is the first geometry unit in the course. In Unit 1 students learned to use algebra to represent geometry problems such as using substitution to apply a geometry formula or creating an equation to represent linear relationships to find the unknown angle or variable. In this unit students will explore volume of 3-Dimensional figures and how to find the dimension or volume of a figure. Students will also explore circles allowing them to find volume of cylinders and spheres. Students will also use irrational numbers as a precursor to exploring right triangles and the application of the Pythagorean Theorem. Again students will learn to solve for the unknown side of a right triangle using the Pythagorean Theorem, substituting values, and solving for the unknown value.PDF is hyper linked with over 100 items. The pfd contains links to:

  • 13 Printable Student Handout with QR code for video instruction

  • 13 Printable Daily Assessment: Mid-Lesson Assessment to check for understanding and/or differentiated flexible groupings

  • 13 Instructional Video Link: Includes Teacher Model and Guided Practice.

  • Google Slide Decks for each lesson

  • Teacher Notes and Answer Key for each lesson

  • Formative Link: e-Copy of the Student Materials on GoFormative.

Also provided is a complete unit overview, a PreTest, PostTest, 1 Quiz and Student Reflections for each assessment. Answer Keys also added on GoFormative for instant data and student feedback. 30 Day free trial of GoFormative.

CCSS8.G.B.6
Explain a proof of the Pythagorean Theorem and its converse.

CCSS8.G.B.7
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

CCSS8.G.B.8
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

CCSS8.G.C.9
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

CCSS8.NS.A.1
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

CCSS8.NS.A.2
Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π²). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.