# squares and square root notes

1&shy; squares and square root notes TEACHER.notebook
September 16, 2014
Grade 9 Math Squares and Square Roots &Oslash;
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 non&shy;perfect squares.
Focus: Determine the square roots of decimals and fractions that are perfect squares
1&shy; 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&shy; squares and square root notes TEACHER.notebook
WORK WITH A PARTNER!
WORK WITH A PAIR!!
September 16, 2014
1&shy; squares and square root notes TEACHER.notebook
September 16, 2014
WORK WITH A PARTNER!
WORK WITH A PAIR!!
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1&shy; squares and square root notes TEACHER.notebook
September 16, 2014
1&shy; squares and square root notes TEACHER.notebook
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September 16, 2014
1&shy; squares and square root notes TEACHER.notebook
September 16, 2014
1&shy; squares and square root notes TEACHER.notebook
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September 16, 2014
1&shy; squares and square root notes TEACHER.notebook
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September 16, 2014
1&shy; squares and square root notes TEACHER.notebook
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September 16, 2014
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1&shy; squares and square root notes TEACHER.notebook
September 16, 2014
1&shy; 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&shy; 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&shy; 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&shy; 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&shy; 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&shy; squares and square root notes TEACHER.notebook
September 16, 2014
Strand 1: Number
&Oslash;
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 non&shy;perfect •
squares.
Focus: Approximate the square roots of decimals and fractions that are non&shy;perfect squares
1&shy; 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&shy; 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 non&shy;perfect 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&shy; squares and square root notes TEACHER.notebook
Example:
Determine an approximate value of each square root
September 16, 2014
1&shy; 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&shy; 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&shy; squares and square root notes TEACHER.notebook
September 16, 2014