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Alliance Cindy and Bill Simon Technology Academy Digital Agenda- Week 26 Dates: February 19—22 Teacher: Miss Holly Forsyth Date: 2/19 Subject/Course: Geometry Grade: 11 Do Now: Exit Slip Error Analysis Standard(s) 21.0: Students prove and solve problems regarding relationships among chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of circles. Learning Objective (s): Given an inquiry activity, students will Discover relationships between an inscribed angle of a circle and its intercepted arc. Prove that minor arcs are congruent if and only if their corresponding chords are congruent. Prove that two arcs are congruent. by completing an exit slip with a 75% or better within the 1-hour block. Assessment: Exit Slip with writing component Whole Group Independent / Computer Assisted Activity Investigation: Arcs and Angles (See PowerPoint February 19) Materials: Pencils, Compasses, Straightedges and Protractors Direct Instruction Collaborative Teacher: Miss Forsyth Date: 2/20 Subject/Course: Geometry Grade: 11 Do Now: Circles Quiz Standard(s): 21.0: Students prove and solve problems regarding relationships among chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of circles. Learning Objective (s): Given an inquiry activity, students will Discover relationships between an inscribed angle of a circle and its intercepted arc. Prove that minor arcs are congruent if and only if their corresponding chords are congruent. Prove that two arcs are congruent. By completing the quiz with a 75% or better. Assessment: 4-question quiz. Whole Group Independent / Computer Assisted Activity Investigation: Arcs and Angles Day 2 (See PowerPoint February 20) Materials: Pencils, Compasses, Straightedges and Protractors Direct Instruction Collaborative Teacher: Miss Forsyth Date: 2/21 – 2/22 Subject/Course: Geometry Grade: 11 Do Now: Quiz Error Analysis Standard(s): 21.0: Students prove and solve problems regarding relationships among chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of circles. Learning Objective (s): Given an overview on proofs within a circle, a collaborative activity to look at parts of proofs, and , students will Prove the relationship between the measure of an inscribed angle, and the measure of the intercepted arc. Explain the conditions for when a quadrilateral can be in- scribed in a circle. by completing the exit slip with a 75% or better within the 2-hour block. Assessment: Exit slip with writing component Whole Group Proving Circle Conjectures (See PowerPoint February 21-22) Materials: Geogebra, Compasses, Protractors Direct Instruction Review properties of inscribed angles and polygons. Materials: Notebooks, Geogebra Independent / Computer Assisted Activity Revolution Prep 1. Sign in to Edelements 2. Go to Assignments 3. Complete “Proving Circle Conjectures” in your notebook Khan Academy Video 1. Log in to Khan Academy 2. Go to Watch, Proving Circle Conjectures 3. Record all of the identities (formulas) in your notebook. Collaborative In your collaborative group, you will complete a mini-investigation 1. Use what you know about isosceles triangles and the angle formed by a tangent and a radius to find the missing arc measure or angle measure in each of the diagrams provided. 2. Examine these cases to find a relationship between the measure of the angle formed by a tangent and chord at the point of tangency, <ABC, and the measure of the intercepted arc, AB. Then copy and complete the conjecture below. 3. Tangent-Chord Conjecture: The measure of the angle formed by the intersection of a tangent and chord at the point of tangency is __________.