Grade 8 Math quiz: Pythagorean theorem

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What this quiz should check

Topic: The Pythagorean theorem and its converse (8.G.B.6-7). A good grade 8 quiz on this asks students to:

• Use a² + b² = c² to find a missing side of a right triangle, including a missing leg
• Identify the hypotenuse as the side across from the right angle
• Use the converse to decide whether three side lengths form a right triangle
• Solve real-world and 3-D problems, such as a ladder against a wall or the diagonal of a box
• Find the distance between two points on a coordinate grid (8.G.B.8)

Misconceptions worth a question

• Adding the side lengths instead of their squares, or forgetting the square root at the end
• Always solving for c, even when the hypotenuse is given and a leg is missing
• Using the theorem on triangles that aren't right triangles

Teacher tip: Include at least one item where the missing side is a leg. Students who always add the two squares will miss it, which shows who knows which side is c.

Always check the AI's answer key before you give the quiz to students.

Teach it first

Plan the lesson on the same standard: objective, practice, differentiation and an exit ticket.

Grade 8 Pythagorean theorem lesson plan prompt →