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1­ squares and square root notes TEACHER.notebook September 16, 2014 Grade 9 Math Squares and Square Roots Ø General Outcome: To develop number sense • Specific Outcome (1): Determine the square root of positive rational numbers that are perfect squares. • Specific Outcome (2): Determine the approximate square root of positive rational numbers that are non­perfect squares. Focus: Determine the square roots of decimals and fractions that are perfect squares 1­ squares and square root notes TEACHER.notebook A children's playground is a square with area 400m2. What is the side length of the square? How much fencing is needed to go around the playground? September 16, 2014 1­ squares and square root notes TEACHER.notebook WORK WITH A PARTNER! WORK WITH A PAIR!! September 16, 2014 1­ squares and square root notes TEACHER.notebook September 16, 2014 WORK WITH A PARTNER! WORK WITH A PAIR!! çü 1­ squares and square root notes TEACHER.notebook September 16, 2014 1­ squares and square root notes TEACHER.notebook ? ? September 16, 2014 1­ squares and square root notes TEACHER.notebook September 16, 2014 1­ squares and square root notes TEACHER.notebook ü September 16, 2014 1­ squares and square root notes TEACHER.notebook ü September 16, 2014 1­ squares and square root notes TEACHER.notebook ü September 16, 2014 1 2 1­ squares and square root notes TEACHER.notebook September 16, 2014 1­ squares and square root notes TEACHER.notebook Example: a) List all the whole numbers from 1 to 100 that are perfect squares b) Write a square root of each number that you listed in part a. September 16, 2014 1­ squares and square root notes TEACHER.notebook September 16, 2014 Example: Use your answers to the previous questions to determine the value of each square root 1­ squares and square root notes TEACHER.notebook Example: a) List all the whole numbers from 101 to 400 that are perfect squares b) Write a square root for each number you listed in part a September 16, 2014 1­ squares and square root notes TEACHER.notebook September 16, 2014 Example: Use your answers from the previous question to determine the value of each square root 1­ squares and square root notes TEACHER.notebook Now you practice :) page 11 #8, 9, 10, 12, 13, 14 Reflection question on page 13 Quiz coming next class September 16, 2014 1­ squares and square root notes TEACHER.notebook September 16, 2014 Strand 1: Number Ø General Outcome: To develop number sense • Specific Outcome (1): Determine the square root of positive rational numbers that are perfect squares. Specific Outcome (2): Determine the approximate square root of positive rational numbers that are non­perfect • squares. Focus: Approximate the square roots of decimals and fractions that are non­perfect squares 1­ squares and square root notes TEACHER.notebook September 16, 2014 Work with a Partner A ladder is 6.1 m long. The distance from the base of the ladder to the wall is 1.5 m. Estimate how far up the wall the ladder will reach. Compare yo drawing? D 1­ squares and square root notes TEACHER.notebook September 16, 2014 Many fractions and decimals are not perfect squares. That is, they cannot be written as a product of two equal fractions. A fraction or decimal that is not a perfect square is called a non­perfect square. We have two strategies for estimating a square root of a decimal that is not a perfect square. (see page 15 in your textbook for more details!) Benchmarks: Calculator: 1­ squares and square root notes TEACHER.notebook Example: Determine an approximate value of each square root September 16, 2014 1­ squares and square root notes TEACHER.notebook Example: Identify a decimal that has a square root between 10 and 11. Check the answer Method 1: Method 2: September 16, 2014 1­ squares and square root notes TEACHER.notebook September 16, 2014 Example: The sloping face of a ramp is to be covered in carpet. a) Estimate the length of the ramp to the nearest tenth of a meter 1.5m 2.2m 6.5m b) Use a calculator to check the answer c) Calculate the area of the carpet needed 1­ squares and square root notes TEACHER.notebook September 16, 2014 Reflect in your notebook 1. Explain the term non­perfect square 2. Name 3 perfect square and three non perfect square between the numbers 0 and 10. Justify your answers 3. Why might the square root shown on a calculator be an approximation? 1­ squares and square root notes TEACHER.notebook September 16, 2014 Now you practice :) page 18 #4 – 7, 11 – 13, 15, 16, 20 Reflect from page 20 in your notebooks Quiz and unit review next class 1­ squares and square root notes TEACHER.notebook Review for your test Pg 21 September 16, 2014