Download lesson plan 9-8

RHS Daily Lesson Plan Template
Analytical Geometry
Day & Date: Monday 9-8
Standard:
MCC9-12.G.SRT.3 Use the properties of similarity transformations to establish the AA criterion for
two triangles to be similar.
Essential Question/Learning Goal:
How do I know which method to use to prove two triangles similar?
Lesson Opener: (10 min.)
Clicker Questions
Procedures/Strategies: (35 min.)

Watch video of proving triangles similar in proof form and paragraph form

Work with table groups to prove that the triangle is similar in proof form and paragraph form. Make a
poster of your work.

Check posters created by other groups and post a comment on how to improve the work.

(Differentiated Activity) Create a Doceri movie of proving your triangle similar.
Lesson Summarizer: (10 min.)
Complete Deconstructing the standard on page 12 and 13 of your notebook.
Assessment/Evaluation: clicker questions, poster, video, deconstructed standard.
Materials Needed: ipad, clickers, doceri app, poster paper, markers, sticky notes. Guided notes for
Pythagorean Theorem.
1
Day & Date: Tuesday 9-9
Standard:
MCC9-12.G.SRT.4 Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle
divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle
similarity.
Essential Question/Learning Goal:
How do I use similar triangles to prove the Pythagorean theorem?
Lesson Opener: (10 min.)
Clicker questions
Procedures/Strategies: (35 min.)

Begin Deconstructing the standard. Place on page 14, highlight and define terms

Discuss video watched for homework

Work with a partner on worksheet involving similar triangles. Check answers with another group of
students

(differentiated assignment—find a Youtube video on proving the Pythagorean Theorem)
Lesson Summarizer: (10 min.).
Parking Lot: Identify items that are still confusing to you.
Assessment/Evaluation:
Clickers, iPad, worksheet, parking lot
Materials Needed: ipads, sticky notes, markers, guided notes on proving angles congruent
2
Day & Date: Wednesday 9-10
Standard: MCC9-12.G.CO.9 Prove theorems about lines and angles. Theorems include: vertical angles are
congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding
angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from
the segment’s endpoints.
Essential Question/Learning Goal:
 How do I prove geometric theorems involving lines and angles?
Lesson Opener: (10 min.) Clicker questions
Procedures/Strategies: (35 min.)

Deconstruct the standard paste on page 16

Matching: Have students match the correct names with each of the types of angles formed by parallel
lines and a transversal.

Work in groups to complete Identifying Angles worksheet/Review answers

Individual work on Similar Triangle worksheet. Check answers with another student

(Differentiated activity-Make a telegami proving one of the angle theorems.)
Lesson Summarizer: (10 min.)
Complete deconstructing the standard on page 16 and 17
Assessment/Evaluation:
clickers, matching, worksheet, deconstructing the standard
Materials Needed: iPad, clickers, glue, notebook, telegami app, guided note on triangle proportionality
3
Day & Date: Thursday 9-11
Standard: MCC9-12.G.SRT.4 Prove theorems about triangles. Theorems include: a line parallel to one side of
a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using
triangle similarity.
Essential Question/Learning Goal:
 What strategies can I use to determine missing side lengths and areas of similar figures?
Lesson Opener: (5 min.) Clicker questions
Procedures/Strategies: (35 min.)

Error analysis: have a triangle with a parallel line to one side and a proportion set up incorrectly. Have
each group try to find the mistake.

Review video and discuss the Triangle proportionality Theorem

Work with a partner to complete Triangle Proportion Practice worksheet
Lesson Summarizer: (15 min.)
Complete deconstructing the standard on page 14 and 15
Assessment/Evaluation: clicker questions, Triangle Proportion practice worksheet, error analysis
Materials Needed: calculator, iPad, notebook, glue
4
Day & Date: Friday 9-12
Standard: Understand similarity in terms of similarity transformations
MCC9-12.G.SRT.1 Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
MCC9-12.G.SRT.2 Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using
similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all
corresponding pairs of sides.
MCC9-12.G.SRT.3 Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
Prove theorems involving similarity
MCC9-12.G.SRT.4 Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and
conversely; the Pythagorean Theorem proved using triangle similarity.
MCC9-12.G.SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Prove geometric theorems
MCC9-12.G.CO.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines,
alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those
equidistant from the segment’s endpoints.
Essential Question/Learning Goal:
What do I need to review in order to be successful on the Analytical Geometry Test?
Lesson Opener: (15 min.)
Deconstruct Standard GSRT 5 completely
Procedures/Strategies: (30 min.)

Review station activities: Students will choose 4 stations to complete

Each table group will be assigned a station to present worked correctly to the class
Lesson Summarizer: (10 min.)
PMI Make a list of the things you did well on, things you still need to work on and what you think we should
focus on Tuesday.
Assessment/Evaluation: station activities and presentations
Materials Needed: Calculator, stations enlarged, iPad
5