Day & Date: Monday 9-15-2014
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: (10 min.)
Watch iMovie of students completing station activities for similarity review.
Procedures/Strategies: (40 min.)
Individual work on study guide for Similarity Test.
Check answers using Aurasma
Discuss mistakes made on study guide.
Lesson Summarizer: (5 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 tomorrow.
Assessment/Evaluation: Study Guide, discussion
Materials Needed: Calculator, iPad, Aurasma app, triggers
1
Day & Date: Tuesday 9-16-2014
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 do in order to be successful on the Analytical Geometry Test?
Lesson Opener: (10 min.)
Answer question over Study Guide.
Procedures/Strategies: (30 min.)
Take Similarity Test
Lesson Summarizer: (15 min.)
PMI Make a list of the parts of the test you did well on, things you still need to work on.
Assessment/Evaluation: Similarity Test
Materials Needed: Similarity Test, calculators.
2
Day & Date: Wednesday 9-17-2014
Standard: MCC9-12.G.CO.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Essential Question/Learning Goal:
How can I use rigid motions to determine if figures are congruent?
Lesson Opener: (10 min.)
Intstagrock Rigid Transformations: 3 key facts, 2 videos, 1 immage
Procedures/Strategies: (30 min.)
1. Deconstruct standard.
2. Post it problem: Put 4 transformations on the board and have the students choose 1 to determine the type of transformation and predict if the figures are congruent
3. Have students create an example of each of the rigid motions, describe the properties of the rigid motion, and state the congruence statement.
Lesson Summarizer: (15 min .)
Complete quiz on Instagrock
Assessment/Evaluation: Intagrock quiz, graphing activity, Instagrock
Materials Needed: Calculator, enlarged pictures of transformed figures, iPad, Graph Paper, Geogebra
3
Day & Date: Thursday 9-18-2014
Standard:
MCC9
‐
12.G.CO.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
Essential Question/Learning Goal:
How are similar triangles and congruent triangles alike? Different ?
Lesson Opener: (10 min.) clicker questions
Procedures/Strategies: (35 min.)
Deconstruct Standard
Name the corresponding parts of 2 triangles and describe the relationship of those parts
Blog the answer to the essential question
Make Poplet identifying congruent sides and angles
Lesson Summarizer: (10 min.)
Present Poplite to class
Assessment/Evaluation: clicker questions, Blog, popplet,
Materials Needed: clickers, ipad, smartboard. Reflector app
4
Day & Date: Fri day 9-19-2014
Standard:
MCC9
‐
12.G.CO.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
Essential Question/Learning Goal:
What are the ways to prove that triangles are congruent?
Lesson Opener: (10 min.)
Make a Fryer model for congruent triangles .
Procedures/Strategies: (40 min.)
Deconstruct Standard
Using the definition of congruent triangles prove that the triangles are congruent.
Make a flip book for the ways to prove that triangles are congruent
Lesson Summarizer: (5 min.)
Write 3 sentences to answer the essential question: What are the ways to prove that triangles are congruent?
Assessment/Evaluation:
Frayer Model, worksheet
Materials Needed:
Paper for flip book, markers, iPad
5