Triangles, Beads, and Area Problems

Mr. War introduces a math lesson focused on problem solving using patterns. The lesson covers two main problems: calculating the area of an archaeological dig site and determining the number of beads in a costume design. The video emphasizes using simpler problems to solve complex ones and highlights the importance of identifying patterns. Mr. War concludes the lesson with a farewell to his students.

What are the two favorite words in math according to Mr. War?

• Graph Analysis

• Problem Solving

• Number Crunching

• Equation Solving

What is the central question of the lesson?

• How to memorize math formulas?

• How to use simpler problems to solve complex ones?

• How to solve equations quickly?

• How to draw geometric shapes?

In the archaeological dig problem, what is the area of each section?

• 25 square feet

• 10 square feet

• 15 square feet

• 20 square feet

How many members are digging in each section of the archaeological site?

• 3

• 5

• 4

• 2

What is the total area of the dig site if 21 members are digging?

• 315 square feet

• 105 square feet

• 150 square feet

• 210 square feet

In Casey's design problem, how many triangles are added in each pattern unit?

• 4

• 3

• 5

• 2

How many beads are added in each pattern unit in Casey's design?

• 18

• 15

• 21

• 12

If Casey uses 72 triangles, how many beads does he use?

• 540

• 432

• 324

• 216

What rule can be used to find the number of beads if the number of triangles is known?

• Multiply the number of triangles by 2

• Multiply the number of triangles by 8

• Multiply the number of triangles by 4

• Multiply the number of triangles by 6