Illustrative Mathematics
Converse of the Pythagorean Theorem
Use the given tasks and detailed teacher's commentary to introduce your 8th graders to the Pythagorean theorem and its converse. Embedded links to information about Egyptian geometry make your presentation interesting. Consider...
Illustrative Mathematics
Applying the Pythagorean Theorem in a Mathematical Context
Participants who use this resource will apply the Pythagorean Theorem to show whether or not the shaded triangle inscribed in a rectangle is a right triangle. Once all of the sides on the shaded triangle are found, it is important that...
Curated OER
A Rectangle in the Coordinate Plane
A quadrilateral is drawn on the coordinate plane, and eighth grade geometers find the length of each side and the diagonals by applying the Pythagorean theorem.
Curated OER
Two Triangles' Area
Need an activity for teaching the Pythagorean Theorem? Geometry juniors apply the Pythagorean theorem to two triangles to determine a final calculation.
Illustrative Mathematics
Running on the Football Field
Make your class into Pythagorean theorem fanatics in no time. What a great resource to get your sports enthusiasts into the math game! Read the commentary so you can you can strategize how to apply the three math practices.
Mathed Up!
Pythagoras' Theorem
Use a right method to find a distance. Given a right triangle, class members find the length of one side given the measurement of the other two sides—the missing side may or may not be the hypotenuse. A video reminds the pupils how to...
Balanced Assessment
Walkway
Evaluate different aspects of geometry with one task. An assessment activity prompts learners to determine the area of a pathway in the shape of a parallelogram. The Pythagorean Theorem and area formulas for various polygons provide the...
Illustrative Mathematics
Area of a Trapezoid
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
Balanced Assessment
Refiguring Pythagoras
Why was Pythagoras so obsessed with squares? The assessment task posits the question of whether the geometric interpretation of the Pythagorean Theorem holds for figures other than squares. Scholars first consider the case of semicircles...
Mathematics Assessment Project
Geometry
Help learners find joy in facing mathematical challenges. The questions posed on this worksheet encourage young mathematicians to utilize skills learned throughout a geometry unit, and to apply themselves and persevere through...
Curated OER
Bird and Dog Race
Your pupil's pet dog and bird are racing down the city streets. In order to know who is going to win, they better know something about calculating rates, the Pythagorean Theorem, and applying those topics to the map of the city.
Los Angeles County Office of Education
Assessment for the California Mathematics Standards Grade 7
In need of an all-inclusive seventh grade math resource? Packed full of the topics necessary for Pre-Algebra the packet includes practice problems with different difficulty levels. It works great for any supplemental use needed...
Mathematics Assessment Project
Middle School Mathematics Test 2
A 13-page test with two 40-minute sections covers multiple years of math content. It incorporates applied problems and mathematical analysis.
Mathematics Assessment Project
Middle School Mathematics Test 6
A thorough math test divides the content into two 40-minutes sections, covering material through algebra and geometry. Problems incorporate analysis and applied problem solving.
Curated OER
Areas of Geometric Shapes with the Same Perimeter
A triangle, square, hexagon, and circle all have a perimeter of one unit. Eighth graders must attempt to find the area of each and arrange them in order from least to greatest areas. A terrific task for applying four different...
Curated OER
Glasses
Provide your class some practice with the dimensions of geometric figures. Here you have a set of three different-shaped, stemmed drinking glasses with diameters and heights provided. Math-minded individuals calculate the volume of each....
Illustrative Mathematics
Downhill
A car traveling down a steep hill is the model for this resource. The confusion comes when the elevation, E, is given in terms of distance, d. The distance, d, is the horizontal distance from E. Therefore, the equation, E = 7500 – 250d,...
McGraw Hill
Glencoe: Self Check Quizzes 3 Using the Pythagorean Theorem
Use Glencoe's Math Course 3 randomly generated self-checking quiz to test your knowledge of using the Pythagorean Theorem. Each question has a "Hint" link to help. Choose the correct answer for each problem. At the bottom of the page...
Khan Academy
Khan Academy: Pythagorean Theorem Word Problems
Use the Pythagorean theorem to solve word problems. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Use Pythagorean Theorem to Find Area and Perimeter
Find the area and perimeter of triangles and quadrilaterals by first using the Pythagorean Theorem to find missing side lengths. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or...
Khan Academy
Khan Academy: Use Pythagorean Theorem to Find Isosceles Triangle Side Lengths
Find the missing side lengths of isosceles triangles by using the Pythagorean Theorem. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Pythagorean Theorem in 3 D
In this exercise, students practice using the Pythagorean Theorem to find the side lengths of triangles within a 3-D solid. Students receive immediate feedback and have the opportunity to watch a video, get hints, or try questions...
Khan Academy
Khan Academy: Use Pythagorean Theorem to Find Right Triangle Side Lengths
Find the length of the hypotenuse or a leg of a right triangle using the Pythagorean Theorem. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Use Area of Squares to Visualize Pythagorean Theorem
Apply the Pythagorean theorem and its converse to solve these problems. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
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