Fill in the Blank
Squares and Square Roots
Exploring the Pythagorean Relationship
Estimating Square Roots
Using and Applying Pythagorean Relationships
100
The _____ _______ of 36 is 6.
Square Root
100
What is the square of 6?
36
100
A triangle had squares on each of its sides. Is the triangle a right triangle? Explain.
No. The sum of the two smaller square is 16 cm² + 16 cm² = 36 cm². This does not equal the area of the largest square which is 36 cm².
100
What is the possible whole number area for the middle invitation?
Anywhere from 28 cm² to 33 cm².
100
Find the missing side length of this triangle.
13 m
200
The number 25 is a ________ ________ because it is the product of the same two factors, 5 X 5 = 25.
Perfect Square
200
What is the square of 11?
121
200
What is the length of each of the three sides?
4 cm; 4 cm; 6 cm
200
What is the side length of the smallest one and largest one?
5 cm and 6 cm
200
Find the missing side length of each triangle.
12 cm
300
In a right triangle, the longest side is known as the _______.
Hypotenuse
300
What is the square of 25?
625
300
Is the triangle a right triangle? Explain.
Yes, the triangle is a right triangle since the sum of the squares of the two smaller sides is 225 + 1296= 1521, which is equal to the square of the largest side.
300
What is an estimate for the side length of the middle invitation? Express you answer to one decimal place.
Anywhere from 5.3 to 5.7.
300
A 4-m ladder is being used for a production of Romeo and Juliet. The bottom of the ladder will be placed 1 m from the base of Juliet's house. Will the ladder reach the window? Show your work.
No, the ladder with not reach the window. The length the ladder needs to reach is greater than 4 m. (1² + 3.9² = 4.03²)
400
If the sides of a right triangle are a, b, and c, and c is the longest side, the equation c²= a² + b² is known as the _________ ________.
Pythagorean Relationship
400
What is the square root of 49?
7
400
The table shows the side length of four triangles. Which triangles are right angled?
Triangles A, C, and D are right triangles.
400
DAILY DOUBLE: Use the number line to answer the following question. What is an estimate for the square root of 10. Give your answer to one decimal place.
3.2
400
Yosef wants to buy a hutch. It must fit in the 90° corner of his dining room. Yosef measures as shown. What should his measurement be? Give your answer to the nearest tenth of a centimetre.
99.0 cm
500
The _____ ______ of 18 is 2 X 3
Prime Factorization
500
What is the square root of 256?
16
500
DAILY DOUBLE: The table shows the side lengths of four triangles. Which triangles are not right angled?
B is not a right triangle.
500
DAILY DOUBLE: Use the number line to answer the following question. Is the square root of 6 closer to 2 or 3. Explain.
The square root of 6 is closer to 2 than 3 because 6 is closer to 4 (2²) than 9 (3²).
500
DAILY DOUBLE: What day is the provincial election?
November 7
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