Download Unit 4

PENNSYLVANIA
Date: March 12, 2014 ET
Susquenita Curriculum
Course: .PACC Mathematics Grade 7 PreAlg
Curriculum:
Topic:
Unit 4: Geometry
Days: 25
Subject(s): Math
Know:
CC.2.3.7.A.1 -- Essential
Solve real-world and
mathematical problems
involving angle measure,
area, surface area,
circumference, and
volume.
CC.2.3.7.A.2 -- Essential
Visualize and represent
geometric figures and
describe the
relationships between
them.
M07.C-G.1.1.1 -Essential
Solve problems
involving scale drawings
of geometric figures,
including finding length
and area.
M07.C-G.1.1.2 -Essential
Identify or describe the
properties of all types of
triangles based on angle
and side measure.
M07.C-G.1.1.3 -Essential
Use and apply the
triangle inequality
theorem.
M07.C-G.1.1.4 -Essential
Describe the twodimensional figures that
result from slicing threedimensional figures.
Grade(s): 7th
Understand:
Students will find
missing measurements
in scale drawings;
identify angle
relationships; and use
formulas to calculate
geometric
measurements.
Do:
CC.2.3.7.A.1 -- Essential
Solve real-world and mathematical problems involving
angle measure, area, surface area, circumference, and
volume.
CC.2.3.7.A.2 -- Essential
Visualize and represent geometric figures and describe
the relationships between them.
M07.C-G.1.1.1 -- Essential
Solve problems involving scale drawings of geometric
figures, including finding length and area.
M07.C-G.1.1.2 -- Essential
Identify or describe the properties of all types of
triangles based on angle and side measure.
M07.C-G.1.1.3 -- Essential
Use and apply the triangle inequality theorem.
M07.C-G.1.1.4 -- Essential
Describe the two-dimensional figures that result from
slicing three-dimensional figures.
M07.C-G.2.1.1 -- Essential
Identify and use properties of supplementary,
complementary, and adjacent angles in a multistep
problem to write and solve simple equations for an
unknown angle in a figure.
M07.C-G.2.1.2 -- Essential
Identify and use properties of angles formed when two
parallel lines are cut by a transversal (e.g., angles may
include alternate interior, alternate exterior, vertical,
corresponding).
M07.C-G.2.2.1 -- Essential
Find the area and circumference of a circle. Solve
problems involving area and circumference of a
circle(s). Formulas will be provided.
Page 1 of 3
PENNSYLVANIA
Date: March 12, 2014 ET
Susquenita Curriculum
Course: .PACC Mathematics Grade 7 PreAlg
Curriculum:
Topic:
Unit 4: Geometry
Days: 25
Subject(s): Math
Know:
M07.C-G.2.1.1 -Essential
Identify and use
properties of
supplementary,
complementary, and
adjacent angles in a
multistep problem to
write and solve simple
equations for an
unknown angle in a
figure.
Grade(s): 7th
Understand:
Do:
M07.C-G.2.2.2 -- Essential
Solve real-world and mathematical problems involving
area, volume, and surface area of twoand threedimensional objects composed of triangles,
quadrilaterals, polygons, cubes, and right prisms.
Formulas will be provided.
M07.C-G.2.1.2 -Essential
Identify and use
properties of angles
formed when two
parallel lines are cut by a
transversal (e.g., angles
may include alternate
interior, alternate
exterior, vertical,
corresponding).
M07.C-G.2.2.1 -Essential
Find the area and
circumference of a
circle. Solve problems
involving area and
circumference of a
circle(s). Formulas will
be provided.
M07.C-G.2.2.2 -Essential
Solve real-world and
mathematical problems
involving area, volume,
and surface area of
twoand threedimensional objects
composed of triangles,
quadrilaterals, polygons,
cubes, and right prisms.
Formulas will be
provided.
Page 2 of 3
Susquenita Curriculum
Course: .PACC Mathematics Grade 7 PreAlg
Curriculum:
Topic:
PENNSYLVANIA
Date: March 12, 2014 ET
Unit 4: Geometry
Subject(s): Math
Days: 25
Grade(s): 7th
Which standards are students learning in this unit?
CC.2.3.7.A.1 -- Essential
Solve real-world and mathematical problems involving angle measure, area, surface area, circumference, and volume.
CC.2.3.7.A.2 -- Essential
Visualize and represent geometric figures and describe the relationships between them.
M07.C-G.1.1.1 -- Essential
Solve problems involving scale drawings of geometric figures, including finding length and area.
M07.C-G.1.1.2 -- Essential
Identify or describe the properties of all types of triangles based on angle and side measure.
M07.C-G.1.1.3 -- Essential
Use and apply the triangle inequality theorem.
M07.C-G.1.1.4 -- Essential
Describe the two-dimensional figures that result from slicing three-dimensional figures.
M07.C-G.2.1.1 -- Essential
Identify and use properties of supplementary, complementary, and adjacent angles in a multistep problem to write and
solve simple equations for an unknown angle in a figure.
M07.C-G.2.1.2 -- Essential
Identify and use properties of angles formed when two parallel lines are cut by a transversal (e.g., angles may include
alternate interior, alternate exterior, vertical, corresponding).
M07.C-G.2.2.1 -- Essential
Find the area and circumference of a circle. Solve problems involving area and circumference of a circle(s). Formulas
will be provided.
M07.C-G.2.2.2 -- Essential
Solve real-world and mathematical problems involving area, volume, and surface area of twoand three-dimensional
objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Formulas will be provided.
Page 3 of 3
PENNSYLVANIA
Date: March 12, 2014 ET
Susquenita Curriculum
Course: .PACC Mathematics Grade 7 PreAlg
Curriculum:
Topic:
Unit 4: Geometry
Days: 25
Subject(s): Math
Grade(s): 7th
Key Learning: Students will find missing measurements in scale drawings; identify angle relationships; and use
formulas to calculate geometric measurements.
Unit Essential Question(s):
How are formulas and angle relationships used to
find geometric measurements?
Concept:
Concept:
Concept:
Scale Drawings
Angle Relationships
Two-Dimensional Figures
M07.C-G.1.1.1
CC.2.3.7.A.1, M07.C-G.2.1.1, M07.C-G.2.1.2
CC.2.3.7.A.1, CC.2.3.7.A.2, M07.C-G.1.1.2 , M07.C-G.1.1.3,
M07.C-G.2.2.1, M07.C-G.2.2.2
Lesson Essential Question(s):
How do I use proportions to find missing
measurements in a scaled drawing? (A)
Lesson Essential Question(s):
How do I find supplementary and
complementary angles? (A)
Lesson Essential Question(s):
How do I create geometric figures focusing on
triangles? (A)
How do I calculate scale using given
dimensions? (A)
How do I find vertical and adjacent angles? (A) How do I calculate the area and circumference
of a circle using a given formula? (A)
How do I describe angle relationships formed
by a transversal? (A)
How do I solve real world problems involving
area? (A)
Vocabulary:
scale, scale model, scale drawing
Vocabulary:
supplementary angles, complementary angles,
vertical angles, adjacent angles, transversal,
alternate interior angles, alternate exterior
angles, corresponding angles
Vocabulary:
circumference
Page 1 of 2
PENNSYLVANIA
Date: March 12, 2014 ET
Susquenita Curriculum
Course: .PACC Mathematics Grade 7 PreAlg
Curriculum:
Topic:
Unit 4: Geometry
Days: 25
Subject(s): Math
Concept:
Grade(s): 7th
Concept:
Concept:
Lesson Essential Question(s):
Lesson Essential Question(s):
Three-Dimensional Figures
CC.2.3.7.A.1, CC.2.3.7.A.2, M07.C-G.1.1.4, M07.C-G.2.2.2
Lesson Essential Question(s):
How do I describe a two-dimensional figure
when a three-dimensional figure is sliced? (A)
How do I solve real world problems involving
surface area? (A)
How do I solve real world problems involving
volume? (A)
Vocabulary:
Vocabulary:
surface area, volume, cross section, solid, faces,
edges, vertices
Vocabulary:
Additional Information:
Attached Document(s):
Page 2 of 2
Susquenita Curriculum
Course: .PACC Mathematics Grade 7 PreAlg
Curriculum:
Vocab Report for Topic:
Unit 4: Geometry
Subject(s): Math
PENNSYLVANIA
Date: March 12, 2014 ET
Days: 25
Grade(s): 7th
Concept: Scale Drawings
scale scale model scale drawing -
Concept: Angle Relationships
supplementary angles complementary angles vertical angles adjacent angles transversal alternate interior angles alternate exterior angles corresponding angles -
Concept: Two-Dimensional Figures
circumference -
Concept: Three-Dimensional Figures
surface area volume cross section solid faces edges vertices -
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