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Transcript
UbD Planning Template
Title: Geometry Teacher
Topic: Congruence and Basic
Geometry
Subject/Course: Algebra II
Grade: 10
Designer(s): Michelle Lee
Stage 1- Desired Results
Standard 1: Points, Lines, Angles, and Planes
Students find lengths and midpoints of line segments. They describe and use parallel and perpendicular
lines. They find slopes and equations of lines.
Understandings:
Essential Questions:
Understand geometry in the real world and how it is
essential in many industries and careers. Recognize
the importance of the basic geometric properties and
how they lay the foundation for the rest of the
semester.
Students will know…
- Basic geometry vocabulary:
Undefined terms
Collinear points
Coplanar points
Defined terms
Line segment
Endpoints
Ray
Opposite rays
Intersection
Postulate
Axiom
Coordinate
Distance
Between
Congruent segments
Midpoint
Segment bisector
Angle (acute, right, obtuse, straight)
Sides
Vertex of an angle
Congruent angels
Angle bisector
Complementary angle
Supplementary angle
Adjacent angles
Linear pair
Vertical angles
Polygon
1. How does geometry influence everyday life?
Why is it important to our society?
2. Where do you see geometric figures in daily life
and how are they important?
3. Why is measuring lengths and angles precisely
important to society?
Students will be able to …
1 Find the lengths and midpoints of line segments
in one- or two-dimensional coordinate systems.
Example: Find the length and midpoint of the line
joining the points A (3, 8) and B (9, 0).
2 Construct congruent segments and angles,
angle bisectors, and parallel and perpendicular
lines
using a straight edge and compass, explaining
and justifying the process used.
Example: Construct the perpendicular bisector of
a given line segment, justifying each step
of the process.
3 Understand and use the relationships between
special pairs of angles formed by parallel lines
and transversals.
Example: In the diagram, the lines k and l are
parallel. What is the measure of angle x?
Explain your answer.
4 Use coordinate geometry to find slopes, parallel
lines, perpendicular lines, and equations of lines.
Example: Find an equation of a line perpendicular
to y t 4x s 2.
Convex
Concave
n-gon
Equilateral
Equiangular
Regular
Perimeter
Circumference
Area
Diameter
Radius
-
Special functions, transformations, and parent
functions
Steps
Stage 2- Assessment Evidence
Performance Tasks:
Other Evidence:
1. Poster presentation: Create a poster that
1. Daily exit tickets
describes all of the definitions, example
2. Tests (including explaining how you solved it)
problem, and step-by-step explanation of how
3. Write a math journal entry.
to solve it. Present it to the class as if you
were teaching it for the first time.
2. Create a problem for another student with all
the necessary information needed to complete
the problem. Switch with a partner to make
sure your problem can be solved.
Stage 3- Learning Plan
1. Complete guided notes/organizers emphasizing key concepts from text book
2. Complete independent practice worksheets