Download 7 Grade Unit 4 Information Geometry

7th Grade Unit 4 Information
Geometry
CRCT Domain & Weight: Geometry 20%
FLIPBOOK for Unit 4
Overview of Unit 4
Prerequisites: Unit 4
Unit Length: Approximately 26 days
Checklist for Unit 4
Study Guide for Unit 4
Study Guide KEY for Unit 4
NOTE: Calculators may be used on all standards in this unit. It is
still recommended that you require students to do some
problems without calculators, but they will be allowed to use
them on the Milestones as well as on the common assessment.
Concept One: Triangles and Angles
Concept Two: Slices and Cross Sections
Concept Three: Circles and Area
Concept Four: Surface Area
Concept Five: Volume
TCSS
Concept One: Triangles and Angles
Standard(s) &
Essential Questions
MGSE7.G.5 Use facts
about supplementary,
complementary, vertical,
and adjacent angles in a
multi-step problem to write
and solve simple equations
for an unknown angle in a
figure.
Vocabulary

congruent

parallel lines

perpendicular

vertical angles
E.Q. How can the special
angle relationships –
supplementary,
complementary, vertical,
and adjacent – be used to
write and solve equations
for multi-step problems?

supplementary angles

complementary angles

adjacent angle

acute angle
MGSE7.G.2 Explore
various geometric shapes
with given conditions.
Focus on creating triangles
from three measures of
angles and/or sides,
noticing when the
conditions determine a
unique triangle, more than
one triangle, or no triangle.

obtuse angle
E.Q. What are the
characteristics of angles
and sides that will create
geometric shapes,
especially triangles?
TCSS

right angle

unique
Resources
Assessment
MGSE7.G.5
 Eureka Math (2014 Common Core) License
o Complementary/Supplementary ~ TE | SE
o Solving for Unknown Angles ~ TE | SE
o Angle Word Problems ~ TE | SE

Math Open Ref ~Triangles = 180 (Interactive Site)


Glencoe CCSS Math (2013)
o Pages 535-550 (Angles)
ActivInspire: Angles in Geometry

CCGPS Frameworks Secret Angle
MGSE7.G.5
MGSE7.G.2
 Background Info: Triangle Style (Gangham
Style tune)

Math Open Ref ~ A side of a triangle is always
shorter than the sum of the other two sides.

Math Open Ref ~ A triangle cannot be
constructed from three line segments if any of
them is longer than the sum of the other two.

Triangle Theorem Power Point

Glencoe CCSS Math (2013)
o Pages 551-554
Excellent!
o Pages 555-562

Straw Triangles

Glencoe Differentiation
 Skills Practice ~ Missing Angles
 Word Problems ~ Missing Angles
 Enrich ~ Missing Angles
12/18/2015
MGSE7.G.2
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2
TCSS
Concept Two: Slices & Cross Sections
Standard(s) &
Essential Questions
MGSE7.G.3 Describe
the two-dimensional
figures (cross sections)
that result from slicing
three-dimensional
figures, as in plane
sections of right
rectangular prisms, right
rectangular pyramids,
cones, cylinders, and
spheres.
E.Q. How can all
possible cross-sections
of a solid be
determined?
TCSS
Vocabulary

cross section

plane sections

right rectangular prisms
Resources
Assessment
MGSE7.G.3
 Glencoe CCSS Math (2013)
o Pages 593-600

Station Activities
o Station 2 – Need 1 rectangular prism for
group to observe.
o Station 3 – No materials needed

CCGPS Frameworks Fruit Ninja

Sections with Play-Doh

Cube video lesson

CCGPS Frameworks What’s My Solid

Interactive Site
o Demonstrate cuts with interactive
o Do problems 1 and 4

Khan Academy Cross Sections

Cross Section Chart (Fill In with Notes)
o Key

Graphic Organizer

Glencoe Cross Sections
o Word Problems
o Skills Practice
12/18/2015
MGSE7.G.3
Example and Exemplar
of MGSE.7.G.3
Constructed Response
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3
TCSS
Concept Three: Circles & Area
Standard(s) &
Essential Questions
MGSE7.G.4 Given the
formulas for the area and
circumference of a circle,
use them to solve
problems; give an informal
derivation of the
relationship between the
circumference and area of
a circle.
E.Q. What is pi? How does
it relate to the
circumference and
diameter of a circle?
E.Q. Why is the area of a
circle measured in “square
units” when a circle isn’t
square?
MGSE7.G.6 Solve realworld and mathematical
problems involving area,
volume and surface area of
two- and three-dimensional
objects composed of
triangles, quadrilaterals,
polygons, cubes, and right
prisms.
E.Q. What strategies can
be used to find area of
regular and irregular
polygons without having a
specific formula?
TCSS
Vocabulary

circumference

pi

irregular polygon

regular polygon

Composite figure

Decompose
Resources
Assessment
Eureka Math (2014 Common Core) License
o Area & Circumference ~ TE | SE
MGSE 7.G.4
 Glencoe CCSS Math (2013)
o Pages 607-620 ~ Circumference
o Pages 621-630 ~ Area of Circles

Circle Tool ~ Online Tool

ActiveInspire Circles
MGSE7.G.4
MGSE 7.G.6 ~ 2-Dimensional Composite Figures
 Eureka Math (2014 Common Core) License
o Module 3 Composite ~ TE | SE
o Module 6 Composite ~ TE | SE

Glencoe CCSS Math (2013)
o Pages 631-638 ~ Composite Figures

Project Share Composite Figures Lessons
o Click on #2
 Interactive-discover & practice
breaking down figures.
o Click on #3
 Match formulas & calculate areas.
o Click on #4
 Calculate areas of composite figures
 Video is very good.

CCGPS Sir Cumference
o Don’t need the book, but it would be fun.
o There should be a copy of the book in your
media center.

Glencoe Circumference
o Skills Practice
o Word Problems
12/18/2015
MGSE7.G.6
(composite)
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4
TCSS
Concept Three: Circles & Area
Standard(s) &
Essential Questions
Vocabulary
Resources

Assessment
Glencoe Area
o Skills Practice
o Word Problems
Concept Four: Surface Area
Standard(s) &
Essential Questions
MGSE7.G.6 Solve realworld and mathematical
problems involving area,
volume and surface
area of two- and threedimensional objects
composed of triangles,
quadrilaterals, polygons,
cubes, and right prisms.
E.Q What kinds of
problems can be solved
using surface areas of
right rectangular prisms?
TCSS
Vocabulary
Resources
Assessment
MGSE.7.G.6 Surface Area

Surface area

Faces

Prism

Pyramid

Check out the large geometric solids (with nets)
from the media center to use with students.

Eureka Math (2014 Common Core) License
o Pages from Module 3 ~ TE | SE
o Pages from Module 6 ~ TE | SE

Glencoe CCSS Math (2013)
o Pages 665-684

Solid Figures Power Point

Surface Area of PRISMS from Glencoe
 Skills Practice
 Word Problems

Surface Area of PYRAMIDS from Glencoe
 Skills Practice
 Word Problems
12/18/2015
MGSE7.G.6
(surface area)
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5
TCSS
Concept Five: Volume
Standard(s) &
Essential Questions
Vocabulary
Resources
Assessment
MGSE 7.G.6 Volume
MGSE7.G.6 Solve realworld and mathematical
problems involving area,
volume and surface
area of two- and threedimensional objects
composed of triangles,
quadrilaterals, polygons,
cubes, and right prisms.
E.Q. How can the
concepts of surface area
and volume be used to
solve problems?
TCSS


Volume

Prism

Pyramid

Base

Eureka Math (2014 Common Core) License
o Pages from Module 3 ~ TE | SE
o Pages from Module 6 ~ TE | SE
Continue using the large geometric solids (with
nets) that you checked out from the media center

Glencoe CCSS Math (2013)
o Volume of Prisms ~ Pages 639 – 652
o Volume of Pyramids ~ Pages 653 – 660

CCGPS Frameworks Go Camping

CCGPS Frameworks Volume of a Prism

Solids Power Point

Volume of Prisms
o Skills Practice
o Word Problems

Volume of Pyramids
o Skills Practice
o Word Problems
12/18/2015
MGSE7.G.6
(volume)
6
TCSS
Concept Five: Volume
Standard(s) &
Essential Questions
Vocabulary
Resources
Assessment
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TCSS
12/18/2015
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