to solve problems Give an informal argument for the formulas for the circumference of a Task(s) circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments. Enduring Understanding(s) Use the following lesson(s) first to Vocabulary Domain: Relationships between angles, radii and introduce concepts/build conceptual Central angle, arc, minor arc, major arc, Cluster: Understand and apply theorems chords will be investigated. understanding. semicircle, congruent arcs, adjacent arcs, arc about circles Similarities will be applied to derive an arc . length Identify and describe relationships length and a sector area. among inscribed angles, radii, and Writing in Math/Discussion chords. Include the relationship between Essential Question(s) central, inscribed, and circumscribed Use the textbook resources to address p.699 #62 When lines intersect a circle, or within a circle, angles; inscribed angles on a diameter procedural skill and fluency. Describe the three different types of arcs in how do you find the measures of resulting are right angles; the radius of a circle is Lesson 10.2 Measuring Angles and Arcs a circle and the method for finding the angles, arcs, and segments? perpendicular to the tangent where the pp.692-700 measure of each one. radius intersects the circle. Use the following resources to deepen Objective(s): students' conceptual understanding of Identify central angles, major arcs, minor mathematical content and develop their arcs, and semicircles and find their ability to apply that knowledge to measures. problems. Task(s) Circles and their Relationships among Central Angles, Arcs and Chords (p. 15) (pp. 46 & 52) Enduring Understanding(s) Use the following lesson(s) first to Vocabulary Domain: Relationships between angles, radii and introduce concepts/build conceptual Inscribed angle, intercepted arc Cluster: Understand and apply theorems chords will be investigated. understanding. about circles
to solve problems Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments. Task(s) Domain: Cluster: Understand and apply theorems about circles Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. Enduring Understanding(s) Relationships between angles, radii and chords will be investigated. Similarities will be applied to derive an arc length and a sector area. Essential Question(s) When lines intersect a circle, or within a circle, how do you find the measures of resulting angles, arcs, and segments? Objective(s): Identify central angles, major arcs, minor arcs, and semicircles and find their measures. Use the following lesson(s) first to introduce concepts/build conceptual understanding. . Use the textbook resources to address procedural skill and fluency. Lesson 10.2 Measuring Angles and Arcs pp.692-700 Use the following resources to deepen students' conceptual understanding of mathematical content and develop their ability to apply that knowledge to problems. Task(s) Circles and their Relationships among Central Angles, Arcs and Chords (p. 15) (pp. 46 & 52) Vocabulary Central angle, arc, minor arc, major arc, semicircle, congruent arcs, adjacent arcs, arc length Writing in Math/Discussion p.699 #62 Describe the three different types of arcs in a circle and the method for finding the measure of each one. Domain: Cluster: Understand and apply theorems about circles Enduring Understanding(s) Relationships between angles, radii and chords will be investigated. Use the following lesson(s) first to introduce concepts/build conceptual understanding. Vocabulary Inscribed angle, intercepted arc
Geometry%20Q3%2012_7_16%20Rev%20CH.docx