Modified Geometry
- What
- Modified Geometry
- When
- 2/24/2021, 10:00 AM – 11:00 AM
Teacher: Lori Willis Course/Subject: Modified Geometry Date of Instruction: February 22-26, 2021 Unit: Circles and Volume-Circles Lessons: Introduction to Circles; Central Angles; Inscribed Angles; Secants, Tangents, and Angles; Circumference and Arc Length; Area of a Circle and a Sector; Angle Relationships; Equations of a Circle Standards: MGSE9-12.G.C.1- Understand that all circles are similar. MGSE9-12.G.SRT.2- Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain, using similarity transformations, the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. MGSE9-12.G.C.2- Identify and describe relationships among inscribed angles, radii, chords, tangents, and secants. 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. MGSE9-12.G.C.4- Construct a tangent line from a point outside a given circle to the circle. Learning Target- I can prove that all circles are similar. I can identify and describe relationships in circles. I can construct circles of a triangle. I can prove properties for a quadrilateral inscribed in a circle. Success Criteria- I can recognize that all circles have the same shape but can have different sizes. I can identify the radius, diameter, chord, second and tangent segments/lines of a circle. I can identify and describe central, inscribed and circumscribed angles in a circle. I can recognize the relationship between tangent line to the radius. Introduction/Connection: Students will complete Warm-Up, Instruction, and Summary with the teacher, pausing each part for understanding and explanation. Students will complete example problems in each section with help from the teacher. Direct Instruction: Teacher will review each lesson with example problems, having students come to the board to complete each problem. Students will be given a practice worksheet with problems from each lesson being covered on the Unit Test. Students will work with a partner to complete. Guided Practice: The teacher will go over each problem on the board for students to work out together, checking for understanding. Students will add example problems to their cheat sheet to use as examples during the test. Independent/Collaborative Practice/Differentiation: Students will complete each Assignment and Quiz in the Lesson for the Unit (Exploring the Pythagorean Theorem, Special Right Triangles, Trigonometric Ratios, and Solving for Side Lengths of Right Triangles). The teacher will answer questions when students need help. Students will use the cheat sheet they created during each lesson to help them answer the questions.(Modified to follow IEPs) Summarize/Check for Understanding: Students will complete the Unit Test Circles and Volume-Circles in Edgenuity. The teacher will grade each test and check answers to see where students made mistakes and reteach those parts. Students will be able to retake the test if needed.