2.2+Looking+for+Squares+0910

AS Oct. 13


 * __2.2 Looking for Squares__**


 * Big Idea**- The dimensions of a right triangle can be determined with limited information.
 * Essential Question-** How can I use square roots to find information about triangles?
 * Notes**-
 * An upright square is a square with vertical and horizontal sides.
 * A tilted square is a square that does not have vertical and horizontal sides.


 * __Problem 2.2__- On the 5-dot-by-5-dot grids on Labsheet 2.2, draw as many squares of various sizes by connecting dots, Try to draw squares with as many different areas as possible. Label each square with its area.**



Problem 2.2 Follow Up
1 unit squared 4 units squared 9 units squared 16 units squared
 * 1. We will call squares with vertical and horizontal sides "upright" squares. Which of the squares you drew are upright squares? Identify each square by giving its area.**


 * 2. We will call squares with sides that are not vertical and horizontal “tilted” squares. Which of the squares you drew are tilted squares? Identify each square by giving its area.**

2 units squared 8 units squared 5 units squared 10 units squared

It is easier to find the side length of an upright square because the square’s side lengths are whole numbers. > 1 is the square root of 1. > 3 is the square root of 9. > 4 is the square root of 16. > 5 is the square root of 25.
 * 3. For which kind of square-upright or tilted-is it easier to find the length of a side? Why?**
 * 4.**
 * 1) **What is the value of square root of 1?**
 * 1) **What is the value of square root of 9?**
 * 1) **What is the value of square root of 16?**
 * 1) **What is the value of square root of 25?**

> > Square root of 2 is greater than 1 because the square root of 1 is 1. This means that the square root of 2 has to be bigger than 1. But the square root of 2 is less than 2 because if it were above 2, when you square the root, the answer will be above 2. > > I measured 1.4cm for my 2units-squared square. > > On my calculator, I got 1.414 2136. I measured quite close the calculator’s answer. I got 1.4 and the calculator said __1.4__142136.
 * 5.**
 * 1) **Is square root of 2 greater than 1? Is square root of 2 greater than 2? Explain your reasoning.**
 * 1) **The side length of a square with an area of 2 units is square root of 2 units. In problem 2.2, you drew a square with an area of 2 square units. Use a centimeter ruler to find the side length of this square. You made your drawings on centimeter dot grids, so 1 centimeter = 1 unit.**
 * 1) **Use the square root button on your calculator to find the square root of 2. How does the answer compare to your answer in part B?**