3. Construct viable arguments and critique the reasoning of others. 4. Model with
... angles; inscribed angles on a diameter are ... 12-3 Inscribed Angles.
Geometry Quarter 4 Curriculum Map
2013-2014
CCSS for Mathematical Practice: 1. Make sense of problems and persevere in solving them 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 4. Model with mathematics 5. Use appropriate tools strategically 6. Attend to precision 7. Look for and make use of structure 8. Look for and express regularity in repeated reasoning Unit 8: Circles Unit Timeline Standards Circles 6 days G.C.1 Prove that all circles are similar. for Conics instructio G.C.2 Identify and describe relationships n and among inscribed angles, radii, and review chords. Include the relationship between central, inscribed, and circumscribed 1 day for angles; inscribed angles on a diameter are assessme right angles; the radius of a circle is nt perpendicular to the tangent where the radius intersects the circle.
4th Quarter Learning Expectation Prove relationships between angles and arcs in a circle Find the measure of angles, arcs, and segments when lines intersect a circle Find the equation of a circle in the coordinate plane
Suggested Instructional Days: 7 Vocabulary Resources 12-1 Tangent Lines chord 12-2 Chords and Arcs inscribed angle 12-3 Inscribed Angles intercepted arc 12-4 Angle Measures locus and Segment Lengths point of tangency 12-5 Circles in the secant Coordinate Plane standard form of an equation of a circle Supplement Conics for Ellipses, Hyperbola, tangent of a circle and Parabolas
G.C.5 Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector. G.GPE.1 Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation. G.GPE.2 Derive the equation of a parabola given a focus and directrix. (+)G.GPE.3(+)Derive the equation of a parabola given a focus and directrix.
Geometry Quarter 4 p. 1
Geometry Quarter 4 Curriculum Map
2013-2014
4th Quarter
Suggested Instructional Days:
Quarter 4 Assessment Additional Resources: Inscribing and Circumscribing Right Triangles: http://map.mathshell.org/materials/lessons.php?taskid=403&subpage=problem Geometry Problems: Circles & Triangles: http://map.mathshell.org/materials/lessons.php?taskid=222&subpage=problem Circles in Triangles: http://map.mathshell.org/materials/tasks.php?taskid=256&subpage=apprentice Temple Geometry: http://map.mathshell.org/materials/tasks.php?taskid=261&subpage=apprentice Solving Quadratic Equations: Cutting Corners: http://map.mathshell.org/materials/lessons.php?taskid=432&subpage=problem Equations of Circles 2: http://map.mathshell.org/materials/lessons.php?taskid=425&subpage=concept Arcs & Tangents with rt. Triangle trig (satellite): http://www.illustrativemathematics.org/illustrations/416 NOTES/REFLECTIONS:
