Download THURSDAY NOTES_ PYTHAGOREAN THEOREM

Agenda
•
•
•
•
•
•
Do Now (8 min)
Cranium Crunch (7 min)
Mental Math: State Exam Review (5 min)
Lesson (25 min)
Independent Practice (35 min)
Exit Ticket (10 min)
Mental Math
Consider point A, which is located at (3, -2)
•
•
•
•
•
•
Where is A’ if it has been dilated by a scale factor of 3?
Where is A’ if it has been dilated by a scale factor of 0.5?
Where is A’ if it has been reflected over the x-axis?
Where is A’ if it has been reflected over the y-axis?
Where is A’ if it translated 2 units up and 2 units right?
Where is A’ if it translated 4 units left and 1 unit down?
Translate the following expressions:
•
•
•
•
Four less than half of a number.
Twice the sum of 3 and a number.
The quotient of 4 and a number.
The product of twice a number and three times another number.
11-5: SWBAT determine
whether a triangle is a right
triangle using the Pythagorean
Theorem.
Example 1
Determine whether the triangle below is a
right triangle.
13
5
12
Example 2
Which set of numbers could be the lengths of
the sides of a right triangle?
a)
b)
c)
d)
(4, 7, 8)
(3, 4, 6)
(12, 30, 16)
(10, 24, 26)
Example 3
In the accompanying diagram of right triangles
ABD and DBC, AB = 5, AD = 4, and CD = 1. Find
the length of BC, to the nearest tenth.
Now You Try
A dock is located 24km east of a lighthouse. A
sailboat is directly north of the lighthouse.
The sailboat is 25 km from the dock. How far
away from the lighthouse is the sailboat?
Independent Practice
• Bronze: Finding the missing 2 legs and the
hypotenuse (Kuta)
• Silver: Regents Practice
• Gold: Simplifying, Multiplying, Dividing,
Subtracting, Adding Radicals