'Unknown side length' diaporamas de présentation

Connecticut Core Standards for Mathematics

Connecticut Core Standards for Mathematics. Systems of Professional Learning. Module 2 Grades K-5: Focus on Content Standards. Focus on Standards for Mathematical Content Outcomes. By the end of this session you will have:

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Do Now 05/02/2014

Do Now 05/02/2014. Find the unknown side length in each right triangle with legs a and b and hypotenuse c . 1. a = 20, b = 21 2. b = 21, c = 35. 9.1 Developing Formulas for Triangles and Quadrilaterals.

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9-1

Developing Formulas for Triangles and Quadrilaterals. 9-1. Warm Up. Lesson Presentation. Lesson Quiz. Holt Geometry. Warm Up Find the unknown side length in each right triangle with legs a and b and hypotenuse c . 1. a = 20, b = 21 2. b = 21, c = 35 3. a = 20, c = 52.

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YEAR 9 TRIGONOMETRY

YEAR 9 TRIGONOMETRY. Where you see the picture below copy the information on the slide into your bound reference. What is Trigonometry & why study Trigonometry?.

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Right Angled Trigonometry

Right Angled Trigonometry. Labeling a Right Triangle. In trigonometry, we give each side a name according to its position in relation to any given angle in the triangle: Hypotenuse, Opposite, Adjacent. The _________ is always the longest side of the triangle. hypotenuse. Hypotenuse.

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Right Angled Trigonometry

Right Angled Trigonometry. Labeling a Right Triangle. In trigonometry, we give each side a name according to its position in relation to any given angle in the triangle: Hypotenuse, Opposite, Adjacent. The _________ is always the longest side of the triangle. hypotenuse. Hypotenuse.

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EXAMPLE 1

Evaluate the six trigonometric functions of the angle ?. From the Pythagorean theorem, the length of the. hypotenuse is. ?. 169. 13. ?. 5 2 + 12 2. =. =. opp. hyp. 13. 12. sin ?. csc ?. =. =. =. =. 12. hyp. opp. 13. EXAMPLE 1. Evaluate trigonometric functions. SOLUTION.

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Unit 6 Lesson 1 The Pythagorean Theorem

Unit 6 Lesson 1 The Pythagorean Theorem. CCSS. Lesson Goals. Use the Pythagorean Th. to find missing side lengths in a right triangle. Recognize a Pythagorean Triple. G-SRT 4: Prove theorems about triangles. ESLRs: Becoming Effective Communicators,

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Angle of Elevation and Depression

Angle of Elevation and Depression. Angle of Elevation. Suppose you are looking up at an airplane. The angle formed by a horizontal line and your line of sight to the airplane is called the angle of elevation.

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Congruent Figures & Pythagorean theorem

Congruent Figures & Pythagorean theorem. Mrs. Samuelian CAHSEE Prep . Congruent Figures. 7MG 3.4 Students will identify congruent figures and match corresponding sides and angles. Vocabulary:

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LESSON 6: EXPLORING THE PYTHAGOREAN THEOREM

LESSON 6: EXPLORING THE PYTHAGOREAN THEOREM. Learning Outcome: Learn to use the Pythagorean Theorem to identify right triangles. Example:. How can we identify right angle triangles if the right angle symbol is not indicated? Is this a right angled triangle?. 10cm. 8cm. 6cm. Reminder:.

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The Pythagorean Theorem and Its Converse

The Pythagorean Theorem and Its Converse. OBJECTIVE: To use the Pythagorean Theorem and its converse BIG IDEAS: MEASUREMENT REASONING AND PROOF ESSENTIAL UNDERSTANDINGS:

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Trigonometry: Sine and Cosine

Trigonometry: Sine and Cosine. History. What is Trigonometry The study of the relationships between the sides and the angles of triangles.

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7.1 Applying the Pythagorean Theorem

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Be on Time Wear ID Chromebook Ready SEE SOMETHING, SAY SOMETHING

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EXAMPLE 4

A common Pythagorean triple is 5 , 12 , 13 . Notice that if you multiply the lengths of the legs of the Pythagorean triple by 2, you get the lengths of the legs of this triangle: 5 2 = 10 and 12 2 = 24 . So, the length of the hypotenuse is 13 2 = 26. EXAMPLE 4.

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EXAMPLE 4

A common Pythagorean triple is 5 , 12 , 13 . Notice that if you multiply the lengths of the legs of the Pythagorean triple by 2, you get the lengths of the legs of this triangle: 5 2 = 10 and 12 2 = 24 . So, the length of the hypotenuse is 13 2 = 26. EXAMPLE 4.

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EXAMPLE 4

A common Pythagorean triple is 5 , 12 , 13 . Notice that if you multiply the lengths of the legs of the Pythagorean triple by 2, you get the lengths of the legs of this triangle: 5 2 = 10 and 12 2 = 24 . So, the length of the hypotenuse is 13 2 = 26. EXAMPLE 4.

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