Failing
CHS Daily Lesson Plan Template
Analytical Geometry
Day & Date:Monday 11-17-2014
Standard:
MCC9-12.G.C.1 Prove that all circles are similar.
Essential Question/Learning Goal:
- Are all Circles Similar?
- What is the symbolic notation for the parts of a circle?
Lesson Opener: (15 min.)
Table groups will create a fryer model for a vocabulary term and make it interactive by using Aurasma.
Procedures/Strategies: (30min.)
- Paste Standards for this unit in the notebook
- Discover the definition of a circle. Place a point in the center of a piece of paper and label it C. Measure 5 points that are 2 inches from C and label them A, B, D, E, and F. Use a compass, put the metal tip on C and the pencil point on A and draw a circle. What do you notice?
- Match the vocabulary terms with the correct definition and diagram
Lesson Summarizer: (10 min.)
Write at least 3 sentences explaining why circles are similar.
Assessment/Evaluation:Fryer model, vocabulary match,
Materials Needed:. Clickers, smart board, iPad, Compass, ruler, poster board, markers
Day & Date:Tuesday 11-18-2014
Standard:
MCC9-12.G.C.1 Prove that all circles are similar.
Essential Question/Learning Goal:
- Are all Circles Similar?
- What is the symbolic notation for the parts of a circle?
Lesson Opener: (10 min.)
Deconstruct Standard
Procedures/Strategies: (35min.)
- Socrative activity to divide class into groups based on knowledge of parts of a circle.
- Divide class into 3 groups based on their knowledge of parts of a circle.
Lesson Summarizer: (10 min.)
Provide evidence in your notebook of why all circles are similar.
Assessment/Evaluation:Deconstructing the Standard, Socrative, differentiated activity, evidence
Materials Needed:.Ipad, smartboard, notebook, hard copy of guided notes for Central Angles and Inscribed Quadrilaterals
Day & Date:Wednesday 11-19-2014
Standard:
MCC9-12.G.C.2 Identify and describe relationships among inscribed angles, radii, and chords. 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.
MCC9-12.G.C.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
Essential Question/Learning Goal:
- How are the Opposite Angles of an Inscribed Quadrilateral related to each other?
Lesson Opener: (10 min.)
5 clicker questions
Procedures/Strategies: (40 min.)
- Think-Pair-Share: Describe the relationship between central angles and arcs. Describe how opposite angles of an inscribed quadrilateral are related to each other.
- Complete worksheet with a partner that made the same grade as you did on the clicker
- Put answers on the board and discuss misconceptions
Lesson Summarizer: (5 min.)
Assessment/Evaluation: clicker question, worksheet, discussion, Parking Lot
Materials Needed: smart board, iPad, hard copy of guided notes of Tangent lines are Perpendicular to a Radius
Day & Date:Thursday 11-20-2014
Standard:
MCC9-12.G.C.4 (+) Construct a tangent line from a point outside a given circle to the circle.
Essential Question/Learning Goal:
- What is the relationship between a tangent line and a radii of a circle?
Lesson Opener: (10 min.)
5 clicker questions
Procedures/Strategies: (30 min.)
- Students will travel around the room to solve different problems involving tangents
- Names will be drawn out of a hat to determine who is to explain to the class how to solve each problem
Lesson Summarizer: (15 min.)
Students will use the geogebra app to create a tangent line to a circle and use the Pythagorean theorem to verify the measurements. Explain your work
Assessment/Evaluation: clicker questions, station activities, individual discussion, construction
Materials Needed: smart board, clickers, iPad, station posters, hard copy of guided notes
Day & Date: Friday 11-21-2014
Standard:
MCC9-12.G.C.2 Identify and describe relationships among inscribed angles, radii, and chords. 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.
Essential Question/Learning Goal:
- How are Congruent Chords related?
Lesson Opener: (10 min.)
Use a compass to construct a circle on patty paper. Draw a chord using a ruler. Fold the paper to copy the chord. What do you notice about the arcs that are intercepted by each chord?
Procedures/Strategies: (40 min.)
- Students will complete worksheet
- Ask different students to work problems on the smart board for them to check their work
Lesson Summarizer: (5 min.)
Blog: Write a letter to an absent student describing the relationship between the congruent chords and their intercepted arcs.
Assessment/Evaluation: worksheet, how problems are worked on the smart board, blog
Materials Needed:, smart board, clickers, iPad, station posters, hard copy of guided notes
Standard:
MCC9-12.G.C.2 Identify and describe relationships among inscribed angles, radii, and chords. 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.
Essential Question/Learning Goal:
What is the relationship between congruent chords and the distance to the center?
Lesson Opener: (10 min.)
5 clicker questions
Procedures/Strategies: (30 min.)
- Complete the Tic Tac Toe board
- Create a video of you working the 3 questions that you choose to complete,
Lesson Summarizer: (10 min.)
Assessment/Evaluation: Clicker questions, videos submitted, prompt
Materials Needed: smart board, clickers, iPad, hard copy of guided notes
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