4A Circle Angle and Segment Theorems
Unit 4A Test will be on Monday 3/2
Quiz Thursday 2/27
Quiz Thursday 2/27
2/24 Vocab, Central Angles, and Inscribed Angles
- Circle Terms: schoolyourself.org/learn/geometry/circles
- Central Angles: schoolyourself.org/learn/geometry/central-angle
- Classwork: Vocab 4_vocab_classwork.docx
- inscribed Angles: schoolyourself.org/learn/geometry/inscribed-angle
- CW/HW: 4A-1 4a-1_central_angles.pdf
2/25 More Angle Theorems
- Angles formed by Two Tangents: www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-tangents/v/tangents-of-circles-exercise-examples
- Inscribed Diameter (right angle)
schoolyourself.org/learn/geometry/inscribed-diameter - Inscribed Quadrilaterals: Prove Opposite sides are supplementary.
schoolyourself.org/learn/geometry/cyclic-quad - CW/HW 4A-2 4a-3__inscribed_and_central_angle.pdf
- SPEAR: Choose 8 Inscribed Angle problems, glue on green age.
2/26 Vocab "Quiz" (self check)
Tangents
Tangents
- Radius is Perpendicular to a Tangent: schoolyourself.org/learn/geometry/circle-lines
- Two Tangents to a Circle from the same point are Congruent: schoolyourself.org/learn/geometry/congruent-tangents
- Solve problems, Tangents and Right Triangles: www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-tangents/v/example-with-tangent-and-radius
- Finding Segments with Chords
- CW/HW 4A-3 4a-2__angles_in_out_and_on_a_circle_2020.pdf
2/27 Quiz - Vocab and Angles
- start Study Guide for Unit 4A unit_4a_review_part_1_s20.pdf and unit_4a_review_part_2.docx
2/28 4A Test Review -
- Complete Formula Sort,
- finish study guide (answers)
3/2 Unit 4A Test Circles (Angles and Segments)
4B Arc Length and Area of Sectors and Volume
3/3 4B_1 Circumference and Arc Length
- Arc Length schoolyourself.org/learn/geometry/arc-degrees
- Working Backward (solve for radius or theta)
3/4 4B-2 Area of Circle and Sectors
- Informally Prove Area of Circle: www.youtube.com/watch?v=YokKp3pwVFc
- Sectors: schoolyourself.org/learn/geometry/sector-degrees
- CW/HW 4B-2
3/5 Area of Segment and Radians
- Video example: www.youtube.com/watch?v=rVawFjUyhDg
- Proportionality of Circles (Arc Length, radius, anlge, and maybe time)
- Segment Area: areas_of_segments_of_circles.docx
3/6 Review
- CW/HW 4B-QR1
3/9 Unit 4B Quiz
- After Quiz 4B-5 Volume 4b-5__volume.pdf
3/10 Volume of Solids
3/10 SPEAR
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Cavalieri's Principle: schoolyourself.org/learn/geometry/cavalieri-3d
Volume of Sphere: Using Cavalieri's Principle: schoolyourself.org/learn/geometry/sphere-volume
3/11 4B-7 Working Backward and Compound Volume
3/12 4B-8 Density
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3/13 Start Study Guide 4B
Unit 4B Test- Date TBD (when we get back to school)
- Arc Length, Area of Sector
- Volume
- Density
- Rotating 2-D shapes to create 3-D figures, Cross Sections
Constructions
Tangent to a circle from a point (video): mathopenref.com/consttangents.html
Incenter (Angle Bisectors of each angle of a triangle) illuminations.nctm.org/Activity.aspx?id=6748
Circumcenter (Perpendicular Bisectors of each side of a triangle) illuminations.nctm.org/Activity.aspx?id=6870