Solve problems involving angles of depression. Use the following resources to deepen students' conceptual understanding of mathematical content and develop their ability to apply that knowledge to problems. Task(s) ACT Practice (sample problems to prepare for the ACT) Glencoe, pp.618-619 Properties of Angles and Segments in Circles (Allow approximately 1.5 weeks for instruction, review, and assessment)t) Enduring Understanding(s) Use the following lesson(s) first to Vocabulary Domain: The concept of similarity as it relates to circles introduce concepts/build conceptual Circle, center, radius, chord, diameter, Cluster: Understand and apply theorems can be extended with proof. understanding. congruent circles, concentric circles, about circles circumference, pi, inscribed, circumscribed Prove that all circles are similar. Essential Question(s) Domain: Use the textbook resources to address What role do circles play in modeling the word Writing in Math/Discussion Cluster: Experiment with transformations in procedural skill and fluency. around us? p.690 #54 the plane Lesson 10.1 – Circles and Circumference Research and write about the history of pi Know precise definitions of angle, pp.683-691 Objective(s): and its importance to the study of circle, perpendicular line, parallel line, geometry. Give an argument to justify the formula and line segment, based on the for the circumference of a circle. Use the following resources to deepen undefined notions of point, line, students' conceptual understanding of Prove that all circles are similar. distance along a line, and distance mathematical content and develop their around a circular arc. ability to apply that knowledge to Domain: problems. Cluster: Explain volume formulas and use them
Solve problems involving angles of depression. Use the following resources to deepen students' conceptual understanding of mathematical content and develop their ability to apply that knowledge to problems. Task(s) ACT Practice (sample problems to prepare for the ACT) Glencoe, pp.618-619 Properties of Angles and Segments in Circles (Allow approximately 1.5 weeks for instruction, review, and assessment)t) Domain: Cluster: Understand and apply theorems about circles Prove that all circles are similar. Domain: Cluster: Experiment with transformations in the plane Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. Domain: Cluster: Explain volume formulas and use them Enduring Understanding(s) The concept of similarity as it relates to circles can be extended with proof. Essential Question(s) What role do circles play in modeling the word around us? Objective(s): Give an argument to justify the formula for the circumference of a circle. Prove that all circles are similar. Use the following lesson(s) first to introduce concepts/build conceptual understanding. Use the textbook resources to address procedural skill and fluency. Lesson 10.1 – Circles and Circumference pp.683-691 Use the following resources to deepen students' conceptual understanding of mathematical content and develop their ability to apply that knowledge to problems. Vocabulary Circle, center, radius, chord, diameter, congruent circles, concentric circles, circumference, pi, inscribed, circumscribed Writing in Math/Discussion p.690 #54 Research and write about the history of pi and its importance to the study of geometry.