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The Chicago High School for the Arts Geometry CPa Unit 4 Overview Properties of Right Triangles Content Related Vocabulary: square, square root, radical, quadratic equations, right triangle, hypotenuse, Pythagorean Theorem, trigonometry of right triangles, sine, cosine, tangent, trigonometric ratios Enduring Understandings: Students will understand that: ● Geometry is a useful tool used to support calculations in art and architecture ● Algebra and Geometry can be used together in problem solving ● Patterns & similarity are naturally recurring in nature ● Logic can be used to discover various angle relationships ● Similar figures are proportional to each other ● There are three basic trigonometric relationships Essential Questions: What is the difference between a linear equation and a quadratic equation? Where do we see triangles in our everyday lives? What types of triangles do we see? What is so special about right triangles? Learning Targets: Simplify radical expressions Solve simple quadratic equations Use Pythagorean Theorem Apply the converse of the Pythagorean Theorem Express the sine, cosine, and tangent of an angle in a right triangle as a ratio of given side lengths Use trigonometric ratios to solve right triangles The Chicago High School for the Arts Geometry CPa Unit 4 Assessment Calendar: Properties of Right Triangles To access the book PDF go to: adlerchiarts.weebly.com Assessment Type Learning Targets Description Date Homework - Simplify radical expressions Handout: Simplifying Radical Expressions #1 DUE: 2/3 Homework - Simplify radical expressions Handout: Simplifying Radical Expressions #2 DUE: 2/4, 2/5 Homework - Simplify radical expressions Review Handout: Simplifying Radicals Quiz Review DUE: 2/6, 2/7 Quiz - Simplify radical expressions UNIT 4 QUIZ 1: Squares, Square Roots and Radical Expressions ON: 2/6, 2/7 Homework - Solve quadratic equations Handout: Solving Quadratic Equations DUE: 2/10, 11 Homework - Use Pythagorean Theorem Book, page 331: 1-10 Homework - Apply the converse of Pythagorean Thm Book, page 339: 1-9, 21 (use diagram above prob) DUE: 2/17 Homework - Recognize Pythagorean triples Book, page 332: 11-16 DUE: 2/18, 19 DUE: 2/13, 14 - Solve quadratic equations GRASPS - Use Pythagorean Theorem and its converse UNIT 4 GRASPS: Pythagorean City Planning (see sections 7.1 and 7.2 in textbook) DUE: 2/24 - Apply the converse of Pythagorean Thm Homework - Express the sine, cosine & tangent of an angle in a right triangle as a ratio of side lengths Book, page 366-367: 1-6 DUE: 2/25, 26 Homework - Express the sine, cosine & tangent of an angle in a right triangle as a ratio of side lengths Book, page 367: 10-16 DUE: 2/27, 28 Homework - Use trig ratios to solve right triangles Book, page 367-369: 17-19, 23-25 DUE: 3/3, 3/4 - Express the sine, cosine & tangent of an angle in a right triangle as a ratio of side lengths Review Handout: SOH CAH TOA DUE: 3/5, 3/7 Homework - Use trig ratios to solve right triangles - Express the sine, cosine & tangent of an angle in a right triangle as a ratio of side lengths UNIT 4 QUIZ 2: SOH CAH TOA - Use trig ratios to solve right triangles (see section 7.5) Homework - All Unit 4 Learning Targets Unit 4 Exam Review Packet DUE: 3/10 Exam All Unit 4 Learning Targets Unit 4 Exam ON: 3/11, 12 Quiz ON: 3/5, 3/7