Name: Pythagorean Theorem UNIT TEST
SKU: 6237cf03d61ba511e7c8ab12
Price: 39.99 USD
Availability: InStock

About this resource

What's inside this resource

This resource was developed to ASSESS the requirements of the 8th Grade Geometry Standards below:

CCSS.MATH.CONTENT.8.G.B.6

Explain a proof of the Pythagorean Theorem and its converse.

CCSS.MATH.CONTENT.8.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.

CCSS.MATH.CONTENT.8.G.B.8

Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

In the classroom

Teaching tips & learning objectives

Learning objectives

Explain and identify correct statements of the Pythagorean Theorem and its converse
Apply the Pythagorean Theorem to find missing side lengths in two- and three-dimensional real-world problems
Calculate the distance between two points on a coordinate plane using the Pythagorean Theorem
Use a similar-triangles proportion to justify a missing length and explain the reasoning in complete sentences

Teaching tips

Use the included Google Forms link for a self-grading digital version instead of the printable test
Assign the constructed-response bonus question (#21) to lower-level learners as an optional challenge, per the contributor's own note
Check the point-value settings on the constructed-response and bonus questions before assigning the Google Forms version

Skills covered

Theorem application — students apply the Pythagorean Theorem to real-world scenarios such as a ladder reaching a gutter and a drone's flight path.
Converse reasoning — students determine whether a given set of side lengths forms a right triangle using the theorem's converse.
Coordinate geometry — students calculate the distance between two points on a coordinate plane.
Proportional reasoning with similar triangles — the bonus question requires setting up and explaining a ratio between corresponding sides.

Good to know

Questions teachers ask about this resource

How can this test be given digitally?

A link to the same 21 questions is included as a Google Forms copy: make your own copy in Google Drive, then share it via Google Classroom or email.

What does the bonus question ask students to do?

Using a similar-triangles relationship, students find one missing length algebraically and then use that answer to find two more lengths, explaining their reasoning in complete sentences.