For each shaded square: –What is its area? –Write this area as a product. –How can you use a square root to relate the side length and area? 1.1 Square Roots and Perfect Squares

Calculate the Area:

For the area of each square in the table… Write the area as a product. Write the side length as a square root.

Squaring vs. Square Rooting Squaring and square rooting are opposite, or inverse operations. – Eg. When you take the square root of some fractions you will get a terminating decimal. – Eg. When you take the square root of other fractions you will get a repeating decimal. – Eg. These are all called _________________________

Assignment Page Questions 3-14

1.2 Square Roots of Non- Perfect Squares Introduction... Many fractions and decimals are __________________________________ A fraction or decimal that is not a perfect square is called a ___________________ – The square roots of these numbers do not work out evenly! How can we estimate a square root of a decimal that is a non- perfect square?

Here are 2 strategies Ask yourself: “Which 2 perfect squares are closest to 7.5?” Strategy #2... Use a calculator!

Example #1 Determine an approximate value of each square root. close to 9 close to 4

Example #2 Determine an approximate value of each square root. Your benchmarks!

What’s the number? Identify a decimal that has a square root between 10 and 11.

Mr. Pythagoras Junior High Math Applet

Practicing the Pythagorean Theorem 5 cm First, ESTIMATE each missing side and then CHECK using your calculator. 8 cm 13 cm 7 cm x x

Applying the Pythagorean Theorem The sloping face of this ramp needs to be covered with Astroturf. a)Estimate the length of the ramp to the nearest 10 th of a metre b)Use a calculator to check your answer. c)Calculate the area of Astroturf needed. 2.2 cm 6.5 cm 1.5 cm

Let’s quickly review what we’ve learned today... Explain the term non-perfect square. Name 3 perfect squares and 3 non- perfect squares between the numbers 0 and 10. Why might the square root shown on a calculator be an approximation?

Assignment Time! page Questions 1- 20