1st/2nd Honors Geometry Skinny

What

1st/2nd Honors Geometry Skinny

When

3/15/2023

Standards Addressed:
MGSE.9-12.G.C.1 Understand that all circles are similar.
MGSE.9-12.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.

Learning Targets /Success Criteria:
--I can find missing lengths in a circle using tangent theorems.
• I can find missing lengths or angles in a circle involving 2 tangents that intersect at a point using Pythagorean Theorem or trig ratios.
• I can find missing lengths in a circle involving a radius and a tangent line using Pythagorean Theorem.
--I can identify and define different types of angles and arcs in a circle.
• I can identify an give precise definitions of: arc, central angle, major arc, minor arc and semicircle.
--I can find measures of missing central angles or arcs in a circle.
• I can identify that circles are 360⁰.
--I can identify that semicircles are 180⁰
--I can find measures of missing inscribed angles and their intercepted arcs in a circle.
• I can identify the intercepted arc for an inscribed angle.
• I know that the measure of an inscribed angle is half the measure of its intercepted arc.
• I know that the intercepted arc of an inscribed angle is twice the measure of the inscribed angle.
--I can use the fact that a circle is 360 degrees and semicircles are 180 degrees to find missing arcs and angles involving inscribed angles.
--I can apply the following theorems when solving problems involving chords:
• Two minor arcs are congruent if and only if their corresponding chords are congruent.
• If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.
• If one chord is a perpendicular bisector of another chord then the first chord is a diameter.
• Two chords are congruent if and only if they are equidistant from the center.
--I can identify and describe parts of a circle including: circumference, radius, diameter, chord, secant, and tangent.
--I can identify a tangent line and solve problems involving tangent lines.

Introduction/Connection (Bellringer): Selected problems on Test Review Sheet or Inscribed_Central Angles (attached below).

Direct Instruction/Guided Practice:
--review bellringer
--review h/w on segments in circles


Independent Practice/Collaboration/Differentiation
--collaboration: students will work in small groups/pairs to complete test review sheet (attached below)


Summarizer: review of angle/segment theorems (round-robin).


Assignment: Test Review Sheet