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 MathConsider 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.

5

12

13

Example 2

Which set of numbers could be the lengths of the sides of a right triangle?

a) (4, 7, 8)b) (3, 4, 6)c) (12, 30, 16)d) (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