Download Geometry Lesson Plans Week #12

Geometry Lesson Plans Week #12
Teacher: Ngoma Botumile A
Week of: 11/7-11/11/2016
Subject: Geometry
Grade: 10
Day/Date: Monday 11/07/2016
TEKS:
Process Standards including Geom.1G, and
Unit 5: Generalizations About Triangles
Geom.5A, Geom.6B, and Geom.6D,
Students apply and make conjectures about triangle
properties and triangle congruence.
ELPS: : C.3D, C.3H, C.3E, C.5G, C.1E, & C.2H
Unit 6: Corresponding Parts of Congruent
( ELPS detail descriptions are posted in Class)
Triangles
Students apply the definition of congruence to identify
Vocabulary:
congruent triangles and their corresponding sides and
angles.
Today’s Objective: Students will solve problems on
Geometry and Review the first 11 weeks.
D. E. A. R: 7:40am -8:00am ( Use congruency notes)
1) As required school wide, points will be lost for lack of
participation. See your D.E.A.R. download for this week.
2) No points for tardy students during D.E.A.R.
Warm-up: From warm-up table download
Agenda:
1. D.E.A.R.
2. Warm up solution
3. Check downloads week 12
4. Read Lesson plan Notes and Make notes.
5. Video of 2D rotated to 3D.
6. https://www.khanacademy.org/math/geometry/hsgeo-solids/hs-geo-2d-vs-3d/v/rotating-2d-shapesin-3d
7. https://www.geogebra.org/m/DV7ehzYt
8. Complete Polygons table
Homework: POW#12, and HOW #12, and Take home
test are Due Friday @ 11:59pm. Do not forget weekend
study.
Evaluation/Exit Ticket: Start Summary of what you have
learned today at level “0” CHAMP. (Must include Vocab
and Essential understanding/Guiding Questions from
lesson plan for each day)
1) Consecutive interior angles
2) Same-side interior angles
Essential Understanding/Guiding Questions:
1) Review
Day/Date: Wednesday 11/09/2016
Unit 5: Generalizations About Triangles
TEKS:
Process Standards including Geom.1G, and
Students apply and make conjectures about triangle
Geom.5A, Geom.6B, and Geom.6D,
properties and triangle congruence.
Unit 6: Corresponding Parts of Congruent
ELPS: : C.3D, C.3H, C.3E, C.5G, C.1E, & C.2H
Triangles
( ELPS detail descriptions are posted in Class)
Students apply the definition of congruence to identify
congruent triangles and their corresponding sides and
Vocabulary:
angles.
Today’s Objective: Students will solve problems on
Geometry and Review the first 11 weeks.
D. E. A. R: 7:40am -8:00am (Use polygons table
downloaded week 8)
1) As required school wide, points will be lost for lack of
participation. See your D.E.A.R. download for this week.
2) No points for tardy students during D.E.A.R.
1)
2)
3)
4)
Convex Polygon
Concave Polygon
Sum of exterior angles
Reflex angle
Essential Understanding/Guiding Questions:
1) From Problems
Warm-up: From warm-up table download
1. Pass K, NS, G grid for Binder check
Agenda:
1. Warm up solution
2. Video of 2D rotated to 3D.
3. https://www.khanacademy.org/math/geometry/hsgeo-solids/hs-geo-2d-vs-3d/v/rotating-2d-shapesin-3d
4. https://www.geogebra.org/m/DV7ehzYt
5. Complete Polygons table
6. Work on take home test Problem.
7. Bring USB for sketchpad
Homework: POW#12, and HOW #12, and Take home
test are Due Friday @ 11:59pm. Do not forget weekend
study.
Evaluation/Exit Ticket: Start Summary of what you have
learned today at level “0” CHAMP. (Must include Vocab
and Essential understanding/Guiding Questions from
lesson plan for each day)
Day/Date: Friday, 11/11/2016
Unit 5: Generalizations About Triangles
Students apply and make conjectures about
triangle properties and triangle congruence.
Unit 6: Corresponding Parts of Congruent
Triangles
Students apply the definition of congruence to
identify congruent triangles and their
corresponding sides and angles.
Today’s Objective: Students will take Group quiz
from “Geometry Problems for Exams” from
downloads.
Warm-up: None
Agenda:
1. Warm-up solution.
2. Start Problem solving including the
SNAPSHOTs 1 and 2 Problems.
3. Two columns proof of triangle properties.
4. Talk about Fall Final exam.
Homework: POW#12, and HOW #12, and Take
home test are Due Friday @ 11:59pm. Do not
forget weekend study.
Evaluation/Exit Ticket: Start Summary of what
you have learned today at level “0” CHAMP. (Must
include Vocab and Essential understanding/Guiding
Questions from lesson plan for each day)
TEKS:
Process Standards including Geom.1G, and
Geom.5A, Geom.6B, and Geom.6D,
ELPS: : C.3D, C.3H, C.3E, C.5G, C.1E, & C.2H
( ELPS detail descriptions are posted in Class)
Vocabulary:
1) Two column proof
2) Polygons properties.
Essential Understanding/Guiding Questions:
1) From Problem solving
Geometry Units
Mathematical Process Standards. The student uses mathematical processes to
acquire and demonstrate mathematical understanding. The student is expected to:
GEOM.1E Create and use representations to organize, record, and communicate
mathematical ideas.
GEOM.1F Analyze mathematical relationships to connect and communicate
mathematical ideas.
Unit 5: Generalizations About Triangles
Students apply and make conjectures about triangle properties and triangle congruence.
Unit 6: Corresponding Parts of Congruent Triangles
Students apply the definition of congruence to identify congruent triangles and their
corresponding sides and angles.
Triangle congruence video:
https://www.khanacademy.org/math/geometry-home/congruence/triangle-congruence/v/other-triangle-congruencepostulates
Solids Produced by Rotating Polygons
Another type of Math IC question that you may come across involves a solid produced by the rotation of a polygon.
The best way to explain how this type of problem works is to provide a sample question:
What is the surface area of the geometric solid produced by the triangle below when it is rotated 360 degrees about the
axis AB?
When this triangle is rotated about AB, a cone is formed. To solve the problem, the first thing you should do is
sketch the cone that the triangle will form.
The question asks you to figure out the surface area of the cone. The formula for surface area is πr2 + πrl, which
means you need to know the lateral height of the cone and the radius of the circle. If you’ve drawn your cone
correctly, you should see that the lateral height is equal to the hypotenuse of the triangle. The radius of the circle is
equal to side BC of the triangle. You can easily calculate the length of BC since the triangle is a 30-60-90 triangle. If
the hypotenuse is 2, then BC, being the side opposite the 30º angle, must be 1. Now plug both values of l and r into
the surface area formula and then simplify:
Common Rotations
You don’t need to learn any new techniques or formulas for problems that deal with rotating figures. You just have to
be able to visualize the rotation as it’s described and be aware of which parts of the polygons become which parts of
the geometric solid. Below is a summary of which polygons, when rotated a specific way, produce which solids.
A rectangle rotated about its edge
produces a cylinder.
A semicircle rotated about its
diameter produces a sphere.
A right triangle rotated about one of its legs
produces a cone.
A rectangle rotated about a central axis
(which must contain the midpoints of
both of the sides that it intersects)
produces a cylinder.
A circle rotated about its diameter
produces a sphere.
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An isosceles triangle rotated about its axis
of symmetry (the altitude from the vertex
of the non-congruent angle) produces a
cone.