Objective: Students will identify squares and perfect squares, calculate square roots, and apply these concepts to real-world problems.

Real-World Applications

Instructions: Choose 2 of the following tasks.

1. Area Problems

   • A square garden has an area of 225 m^2. What is the length of one side?

   • Your bedroom floor is a perfect square. If the area is 144 ft^2, how long is each wall?

2. Puzzles

   • A safe’s passcode is the square root of 1,296. What is the code?

   • A chessboard has 64 squares. If each small square has a side length of 2.5 cm, what is the area of the entire board?

3. Creative Task

   • Draw a 10x10 grid and shade all perfect squares up to 100. Label their square roots.

• Project: Research how square roots are used in architecture, coding, or cryptography. Present in 3–5 sentences.