Mathematical Problem Solving Techniques

This video tutorial covers various applications of the Pythagorean theorem, including real-world problems like bracing a door and calculating trash can diagonals. It also explores identifying right triangles, comparing large numbers using scientific notation, determining slopes on a graph, and analyzing data from a jump rope contest. The tutorial is designed for 8th-grade students and emphasizes practical applications of mathematical concepts.

What is the approximate length of the brace needed to zombie-proof the door?

• 6 feet

• 5 feet

• 4.47 feet

• 3.5 feet

Why can't the tray fall through the trash can opening?

• The tray is too wide.

• The diagonal of the trash can is shorter than the tray's smallest side.

• The tray is too long.

• The trash can is too small.

What is the diagonal length of the trash can's opening?

• 9 inches

• 10 inches

• 12 inches

• 11.4 inches

Which set of side lengths can form a right triangle?

• 8, 11, 129

• 1, 2, 3

• 4, 10, 84

• 8, 7, 15

Which of the following is NOT a set of side lengths for a right triangle?

• 8, 11, 129

• 4, 10, 84

• 1, 2, 3

• 8, 7, 15

How many times larger is 12 times 10^9 compared to 4 times 10^9?

• 2 times

• 3 times

• 4 times

• 5 times

What is the result of dividing 3 times 10^12 by 1.5 times 10^12?

• 4

• 3

• 2

• 1

Which point can form a line with a negative slope with the point (3, 5)?

• (2, 0)

• (5, 4)

• (4, 7)

• (6, 5)

If Noah jumps 40 times in 0.5 minutes, how many times does he jump in 2 minutes?

• 80 times

• 200 times

• 160 times

• 120 times

How many more times does Noah jump than Han in 2 minutes?

• 6 times

• 4 times

• 2 times

• 8 times