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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?
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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? • (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