Geometry and Number Concepts Assessment

In this video, Mr. Baskin covers various math topics for grade eight students. The lesson begins with an introduction to the Pythagorean theorem, followed by practical examples of solving right triangle problems. The video then explores square roots, identifying which integers they fall between, and differentiates between rational and irrational numbers. It also covers exponents and powers of 10. The lesson concludes with a real-world application of solving a system of equations to determine the amount of ribbon needed for a project.

What is the length of the hypotenuse of a right triangle with legs measuring 2 and 6?

• √40

• 8

• 10

• 12

If a right triangle has legs of 3 and 4, what is the length of the hypotenuse?

• 5

• 8

• 6

• 7

What is the length of the hypotenuse of a right triangle with legs of 1 and 3 on a grid?

• 4

• √10

• 5

• √13

Without calculations, why does 5² + 12² equal 13²?

• Because 5, 12, and 13 form a Pythagorean triple

• Because 5 and 12 are both even numbers

• Because 13 is a prime number

• Because 5 and 12 are consecutive numbers

Between which two integers does the square root of 10 lie?

• 2 and 3

• 3 and 4

• 4 and 5

• 5 and 6

Which of the following is a rational number?

• 4

• π

• √8

• √2

Which of the following is an example of an irrational number?

• 3

• √9

• √8

• 1/2

What is the total length of blue ribbon Andre needs?

• 17.5 meters

• 32.75 meters

• 26.25 meters

• 50.25 meters

How much green ribbon does Andre need?

• 17.5 meters

• 32.75 meters

• 50.25 meters

• 26.25 meters

What is the equation for the total ribbon needed by Andre?

• X / Y = 50.25

• X * Y = 50.25

• X - Y = 50.25

• X + Y = 50.25