Download Essentials of Geometry

PENNSYLVANIA
Date: March 5, 2014 ET
Susquenita Curriculum
Course: .PACC Academic Geometry
Teacher / Team Name: LARA
Curriculum:
Topic:
001 Essentials of Geometry
Days: 12
Subject(s): Math
Know:
CC.2.3.HS.A.14 -Essential
Apply geometric
concepts to model and
solve real world
problems.
Grade(s): 7th, 8th, 9th, 10th, 11th, 12th
Understand:
Geometry is logically
built upon a few basic
axioms and undefined
terms.
Do:
CC.2.3.HS.A.14 -- Essential
Apply geometric concepts to model and solve real
world problems.
1 -- Essential
Make sense of problems and persevere in solving
them.
1 -- Essential
Make sense of problems
and persevere in solving
them.
2 -- Essential
Reason abstractly and quantitatively.
2 -- Essential
Reason abstractly and
quantitatively.
3 -- Essential
Construct viable arguments and critique the reasoning
of others.
3 -- Essential
Construct viable
arguments and critique
the reasoning of others.
4 -- Essential
Model with mathematics.
4 -- Essential
Model with
mathematics.
5 -- Essential
Use appropriate tools strategically.
6 -- Essential
Attend to precision.
5 -- Essential
Use appropriate tools
strategically.
7 -- Essential
Look for and make use of structure.
6 -- Essential
Attend to precision.
8 -- Essential
Look for and express regularity in repeated reasoning.
7 -- Essential
Look for and make use
of structure.
CC.2.3.HS.A.4 -- Essential
Apply the concept of congruence to create geometric
constructions.
8 -- Essential
Look for and express
regularity in repeated
reasoning.
CC.2.3.HS.A.3 -- Essential
Verify and apply geometric theorems as they relate to
geometric figures.
CC.2.3.HS.A.4 -Essential
Apply the concept of
congruence to create
geometric constructions.
G.1.2.1.4 -- Essential
Identify and/or use properties of regular polygons.
Page 1 of 4
PENNSYLVANIA
Date: March 5, 2014 ET
Susquenita Curriculum
Course: .PACC Academic Geometry
Teacher / Team Name: LARA
Curriculum:
Topic:
001 Essentials of Geometry
Days: 12
Subject(s): Math
Know:
CC.2.3.HS.A.3 -Essential
Verify and apply
geometric theorems as
they relate to geometric
figures.
G.2.1.2.1 -- Essential
Calculate the distance
and/or midpoint between
two points on a number
line or on a coordinate
plane.
Grade(s): 7th, 8th, 9th, 10th, 11th, 12th
Understand:
Do:
G.2.1.2.1 -- Essential
Calculate the distance and/or midpoint between two
points on a number line or on a coordinate plane.
G.2.1.2.3 -- Essential
Use slope, distance, and/or midpoint between two
points on a coordinate plane to establish properties of a
2dimensional shape.
G.2.2.1.1 -- Essential
Use properties of angles formed by intersecting lines to
find the measures of missing angles.
G.2.1.2.3 -- Essential
Use slope, distance, and/
or midpoint between two
points on a coordinate
plane to establish
properties of a 2
dimensional shape.
G.2.2.1.1 -- Essential
Use properties of angles
formed by intersecting
lines to find the
measures of missing
angles.
Page 2 of 4
Susquenita Curriculum
Course: .PACC Academic Geometry
Teacher / Team Name: LARA
Curriculum:
Topic:
PENNSYLVANIA
Date: March 5, 2014 ET
001 Essentials of Geometry
Subject(s): Math
Which standards are students learning in this unit?
Days: 12
Grade(s): 7th, 8th, 9th, 10th, 11th, 12th
CC.2.3.HS.A.14 -- Essential
Apply geometric concepts to model and solve real world problems.
1 -- Essential
Make sense of problems and persevere in solving them.
2 -- Essential
Reason abstractly and quantitatively.
3 -- Essential
Construct viable arguments and critique the reasoning of others.
4 -- Essential
Model with mathematics.
5 -- Essential
Use appropriate tools strategically.
6 -- Essential
Attend to precision.
7 -- Essential
Look for and make use of structure.
8 -- Essential
Look for and express regularity in repeated reasoning.
CC.2.3.HS.A.4 -- Essential
Apply the concept of congruence to create geometric constructions.
CC.2.3.HS.A.3 -- Essential
Verify and apply geometric theorems as they relate to geometric figures.
G.1.2.1.4 -- Essential
Identify and/or use properties of regular polygons.
G.2.1.2.1 -- Essential
Calculate the distance and/or midpoint between two points on a number line or on a coordinate plane.
G.2.1.2.3 -- Essential
Use slope, distance, and/or midpoint between two points on a coordinate plane to establish properties of a 2
dimensional shape.
Page 3 of 4
Susquenita Curriculum
Course: .PACC Academic Geometry
Teacher / Team Name: LARA
Curriculum:
Topic:
001 Essentials of Geometry
Subject(s): Math
PENNSYLVANIA
Date: March 5, 2014 ET
Days: 12
Grade(s): 7th, 8th, 9th, 10th, 11th, 12th
G.2.2.1.1 -- Essential
Use properties of angles formed by intersecting lines to find the measures of missing angles.
Page 4 of 4
PENNSYLVANIA
Date: March 5, 2014 ET
Susquenita Curriculum
Course: .PACC Academic Geometry
Teacher / Team Name: LARA
Curriculum:
Topic:
001 Essentials of Geometry
Days: 12
Subject(s): Math
Grade(s): 7th, 8th, 9th, 10th, 11th, 12th
Key Learning: In plane geometry, all definitions are based upon three basic terms and measurements are used to
classify angles and segments.
Unit Essential Question(s):
How are the basic terms, points, lines and planes,
used to establish definitions in geometry and how can you use
measurements to compare segments and classify angles?
Concept:
Concept:
Concept:
1.1 Points, Lines, & Planes
1.2 Segments & Congruence
1.3 Midpoint & Distance
CC.2.3.HS.A.14
CC.2.3.HS.A.14, CC.2.3.HS.A.4
CC.2.3.HS.A.14, G.2.1.2.1 , G.2.1.2.3
Lesson Essential Question(s):
Lesson Essential Question(s):
1.What are the basic terms and their importance 2.How do you use segment postulates to
to geometry? (ET)
determine congruent segments? (A)
Lesson Essential Question(s):
3.How do you find the distance and midpoint
between 2 points in the coordinate plane? (A)
Vocabulary:
plane, collinear points, coplanar points, line
segment, undefined term, defined term,
endpoints, ray, opposite rays, intersection
Vocabulary:
postulate, axiom, distance
Vocabulary:
midpoint, segment bisector
Concept:
Concept:
Concept:
1.4 Measure & Classify Angles
1.5 Angle Pair Relationships
1.6 Classify Polygons
CC.2.3.HS.A.14, G.2.2.1.1 , CC.2.3.HS.A.4
CC.2.3.HS.A.14, CC.2.3.HS.A.4, G.2.2.1.1
CC.2.3.HS.A.14, CC.2.3.HS.A.4, CC.2.3.HS.A.3, G.1.2.1.4
Lesson Essential Question(s):
4.How do you name, measure, and classify
angles? (ET)
Lesson Essential Question(s):
5.How are pairs of angles classified? (A)
Lesson Essential Question(s):
6.How can polygons be classified by their sides
and by their angles? How do you find the length
of the side of a regular polygon? (A)
Vocabulary:
vertex of an angle, angle bisector
Vocabulary:
adjacent angles, linear pair, vertical angles
Vocabulary:
polygon, vertex, concave, convex, n-gon,
regular
Additional Information:
ruler, protractor, graph/number line paper, dynamic geometric software
Attached Document(s):
Page 1 of 1
Susquenita Curriculum
Course: .PACC Academic Geometry
Teacher / Team Name: LARA
Curriculum:
Vocab Report for Topic:
001 Essentials of Geometry
Subject(s): Math
PENNSYLVANIA
Date: March 5, 2014 ET
Days: 12
Grade(s): 7th, 8th, 9th, 10th, 11th, 12th
Concept: 1.1 Points, Lines, & Planes
plane collinear points coplanar points line segment undefined term defined term endpoints ray opposite rays intersection -
Concept: 1.2 Segments & Congruence
postulate axiom distance -
Concept: 1.3 Midpoint & Distance
midpoint segment bisector
-
Concept: 1.4 Measure & Classify Angles
vertex of an angle angle bisector -
Concept: 1.5 Angle Pair Relationships
adjacent angles linear pair vertical angles -
Concept: 1.6 Classify Polygons
polygon vertex concave convex n-gon regular -
Page 1 of 1