Understanding the Blob Pythagorean Theorem

Understanding the Blob Pythagorean Theorem

Assessment

Interactive Video

Mathematics, Philosophy, Moral Science

6th - 10th Grade

Hard

Created by

Ethan Morris

FREE Resource

A king consults his counsellor on dividing his land among his daughters. The counsellor explains concepts of scaling and similarity, and introduces the 'blob Pythagorean theorem' to solve the king's problem. The king learns that similar shapes maintain proportional areas, and the theorem applies universally to all similar shapes. The counsellor demonstrates the theorem using right-angled triangles, and the king reflects on the moral of the story.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What shape is the piece of land that the king decides to keep for himself?

A circle

A square

A rectangle

A right-angled triangle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the area of a shape if its dimensions are doubled?

The area is doubled

The area is tripled

The area is quadrupled

The area remains the same

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to the counsellor, what is essential for the Pythagorean theorem to apply?

All angles must be acute

One angle must be a right angle

All sides must be equal

The shape must be a square

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the counsellor call the theorem that applies to similar blobs?

Blob Scaling Theorem

Blob Similarity Theorem

Blob Pythagorean Theorem

Blob Area Theorem

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key concept demonstrated with the right-angled triangles?

The area of a triangle

The similarity of triangles

The sum of the angles in a triangle

The sum of the areas of two smaller triangles equals the area of the larger triangle