Download Teacher: Mr. Ardito Class: Geometry Lesson Plan Unit 1: Planes

Teacher: Mr. Ardito
Class: Geometry
Unit 1: Planes
Standards Covered: GG1 – GG9
Lessons:
1. Opening day and Definitions GG1
2. Perpendicular Planes and Lines GG2, GG3, GG4
3. Reasoning An Answer GG5, GG6
4. Reasoning An Answer 2 GG7, GG8, GG9
Formative Assessments: Do Nows, Classwork, Vocab Quizzes
Summative Assessments: Quiz
Lesson Plan
Lesson 1: Opening Day and Definitions
Objectives: Establish Classroom Procedures, Expectations, and Begin Unit 1
Procedure:
1. Do Now: Seat Assignments: Students will enter the room and will find their
assigned seats.
2. Students will be given packets of Unit 1 materials.
a. The work will be given all at once, so a student may move on if they
completed the day’s work.
b. Work will be tracked in the classroom, with assignments for the day on the
board by the Objective, and the due dates for Units posted on the
calendar.
c. Packets will be kept in the classroom, and work may be taken home.
d. Work is DUE when it is DUE. It will be collected and graded. Late work will
be penalized.
3. {Reference Board} Today’s Assignment will be GG1.
a. Hand out Study Sheet for Unit.
b. We will have VERY FREQUENT vocabulary quizzes, usually Do Nows
c. Classroom review of vocab
i. Say name, give answer
ii. Give definition, real life example
iii. Entire class will say word, do hand motion
d. Students work solo for 15 minutes on GG1
e. Students will be selected to put work on the board for each question
(phrase and answer)
f. Class will agree or disagree with each answer, give reasons. (go over
accountable language)
4. Ending discussion: Materials needed for class sheet.
Name___________________________________
Study Sheet for Unit 1: Planes
A point is a location with no size.
A line is a series of connected points that extends infinitely in one dimension.
A plane is a flat surface that extends infinitely in two dimensions.
Parallel lines or planes will never meet. They have the same slope.
Perpendicular lines or planes will intersect at a 90˚ angle (right angle). They have
negative reciprocal slopes.
Skew lines will never intersect, but run in different directions.
To intersect means to overlap or run through each other.
Skills to use when dealing with word problems:
1. Make a model: I teach you the hand motions so you can see the concepts we
are talking about. Try to create a model of the situation with your hands.
2. Draw a picture: If a situation is to complex to do with just your hands, make a
picture with all of the relevant information.
3. Underline Vocabulary: When you come across a word in the problem that is a
vocab word you should underline it so you know to use that information.
4. Use Vocabulary in Your Answers: You should always use math vocabulary
when you are writing out an answer with words. It will make me like you more,
and get you higher grades on the Regents!
Materials Needed for Algebra Class:
1.
2.
3.
4.
Pen
Pencil
Folder to take assignments home
Graph paper notebook with pages that can be removed so work can be handed
in
Lesson 2: Perpendicular Planes and Lines GG2, GG3, GG4
Objectives: Review Definitions on Study Sheet; Apply Definitions to Word Problems
Procedure:
1. Do Now: Take out a sheet of paper for a Vocab QUIZ!
Teacher will do hand motions for Parallel lines and Perpendicular Planes.
Students will write the vocab words on the page.
2. Review definitions of vocab.
3. Together as class: GG2 at board. Refer to definitions and the STANDARD GG2
4. Use discussion to answer question on GG3 SOLO.
5. Student gives answer, class critiques.
6. Discuss the idea of “coplanar”. Can skew lines be coplanar? (no) Parallel and
intersecting lines can be. Why???
7. Students will answer question to GG4 and turn in.
8. DUE DATE for GG4 _________________
Lesson 3: Reasoning An Answer GG5, GG6
Objectives: Students will construct a response with appropriate mathematical
terminology
Procedure:
1. Do Now: Vocab quiz: students will write down the terms when teacher displays
associated hand motions: skew lines; parallel planes.
2. Review vocab terms
3. GG5: Students will respond to the following situation: You are in a room and
need to put up a beam. You forgot a ladder and cannot reach the ceiling. You did
bring tools to measure angles however. What can measurement can you make
on the floor and know that the beam is perpendicular with the ceiling if the floor
and ceiling are parallel
a. Students will be encouraged to model the situation with their hands.
b. Responses must be in complete sentences with appropriate mathematical
terms used.
4. Review at board with perfect response modeled. Students will discuss the
appropriateness of responses.
5. GG6: Students will be shown that a prism is a 3D object with the book shelf.
“Justify” means you need to respond with “because”.
a. Responses must be in complete sentences with appropriate mathematical
terms used.
6. Review at board with perfect response modeled. Students will discuss the
appropriateness of responses.
7. GG6 Due Date ________________________
Lesson 4: Reasoning An Answer 2 GG7, GG8, GG9
Objectives: Use theorems and modeling techniques to reason an answer.
Procedure:
1. Do Now: Students will define the following phrases given to them by hand signal.
A line perpendicular to a plane. A parallel lines.
2. GG7 Students will try to answer the question on the own. Answers will be
displayed and discussed at the board.
3. GG8 Students will try to answer the questions on their own. Answers will be
displayed and critiqued at the board.
a. What is the intersection of two planes going to be?
b. How do you model this type of situation? Hands, drawing?
4. GG9 Students will try to answer the questions on their own. Answers will be
displayed and discussed at the board.
5. Quiz on Unit 1 on __________________