Download Alliance Cindy and Bill Simon Technology Academy Digital Agenda

Alliance Cindy and Bill Simon Technology Academy
Digital Agenda- Week 25
Dates: February 11 – 15
Teacher:
Miss Holly Forsyth
Date:
2/11 – 2/12
Subject/Course:
Geometry
Grade:
11
Do Now: Reflect on Unit Test, Match terms with figures
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 and PowerPoint, students will
 Discover properties of tangents of circles
 Explore common tangents and tangent circles
 Prove the perpendicular relationship between the tangent of a circle and the circle’s radius.
by solving the four questions exit slip with a 75% or better within the 2 hour block.
Assessment: Students will complete an exit slip with a writing component.
Whole Group
Investigation: Tangent Properties (see PowerPoint- February 11 – 12)
Materials: Smart board, compasses, protractors, notebooks
Direct Instruction
Explore tangents and tangent circles
Materials: Compasses, protractors, straightedge
Independent / Computer Assisted Activity
Revolution Prep
1. Sign in to Edelements
2. Go to Revolution Prep
3. Go to Assignments, Unit: Circles
4. Begin the Circles Assignment and tutor sessions in your notebook
Collaborative
Geogebra
1. In your group of 2, use Geogebra to construct a circle.
2. Label three points on the circle and construct tangents through them. Drag
the three points and write your observations about where the tangent lines
intersect and the figures they form.
3. What happens if two of the three points are on opposite ends of a diameter?
4. What happens if the three points are on the same semicircle?
Teacher:
Miss Forsyth
Date:
2/13
Subject/Course:
Geometry
Grade:
11
Do Now: Exit slip error analysis, Vocab review
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 on GeoGebra, students will
 Discover properties of chords to a circle
 Prove that a diameter of a circle is perpendicular to a chord if and only if the diameter bisects the chord and its arc.
by completing the exit slip with a 75% or better within the 50-minute period.
Assessment: exit slip with writing component
Whole Group
Independent / Computer Assisted Activity
Investigation: Chord Properties (See ppt February 13)
Materials: Compass, straightedge, protractor, Geogebra, SMART board
Direct Instruction
Collaborative
Teacher:
Miss Forsyth
Date:
2/14–2/15
Subject/Course:
Geometry
Grade:
11
Do Now: Review Tangent and Chord Properties
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 and an independent Khan Academy activity, students will
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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.
Prove the relationship between the measure of an inscribed angle, and the measure of the intercepted arc.
by completing the exit slip with a 75% or better within the 2 hour block.
Assessment: Students will complete a four-question exit slip.
Whole Group
Investigation: Arcs and Angles (See PowerPoint-February 14 – 15)
Materials: Notebook, GeoGebra, protractor, compass, straightedge
Independent / Computer Assisted Activity
Revolution Prep
1. Sign in to Edelements
2. Go to Revolution Prep
3. Go to Assignments, Unit: Circles
4. Continue the Circles Assignment and tutor sessions in your notebook
Materials: Computer, notebook, pencil.
Direct Instruction
Investigation of inscribed angles
Materials: SMART board, notebooks, pencils
Collaborative
Geogebra
1. In your group of 2, use Geogebra to construct a circle and a diameter.
2. Construct a point on one of the semicircles, and construct two chords from it
to the endpoints of the diameter to create a right triangle.
3. Locate the midpoint of each of the two chords.
4. Predict, then sketch the locus of the two midpoints as the vertex of the right
angle is moved around the circle.
5. Animate the point on the circle and trace the locus of the two midpoints.
6. Describe in your notebook what you see.
Materials: Computer, notebook, pencils, graph paper, compass, straightedge