Download Module 8

2016-2017 Curriculum Blueprint
Grade: 7
Course: Grade 7
Approximate Time:
8
11 days
Module 8: Modeling Geometric Figures
Learning Goal
Students will be expected to find lengths of
unknown sides of similar figures by writing and
solving proportions involving corresponding sides
of the figures.
Essential Questions
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5.
How can you use proportions to solve real-world
geometry problems?
How can you use scale drawings to solve
problems?
How can you draw shapes that satisfy given
conditions?
How can you identify cross sections of threedimensional figures?
How can you use angle relationships to solve
problems?
Unit Overview
In this unit, students will learn about angle pair relationships,
circumference and area of a circle, area of composite figures, and
volume and surface area of prisms and pyramids.
Vertical Progression
MAFS.6.G.1.1: In Grade 6, students found the area of right triangles, other triangles, special quadrilaterals, and polygons; recognizing angle measure as additive; solving addition and
subtraction problems to find unknown angles on a diagram in real world and mathematical problems.
Module Focus Standards
Grade 7 Math Test Item Specs (Reference Sheet at End)
MAFS.7.G.1.1 (DOK 2) Solve problems involving scale drawings of geometric
figures, including computing actual lengths and areas from a scale drawing and
reproducing a scale drawing at a different scale. [application]
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Use ratios and proportions to create scale drawing.
Identify corresponding sides of scaled geometric figures.
Compute lengths and areas from scale drawings using strategies such as
proportions.
Solve problems involving scale drawings of geometric figures, including
computing actual lengths and areas from a scale drawing and reproducing a
scale drawing at a different scale.
Reproduce a scale drawing that is proportional to a given geometric figure
using a different scale.
MAFS.7.G.1.2 (DOK 2) Draw (freehand, with ruler and protractor, and with
technology) geometric shapes with given conditions. Focus on constructing
triangles from three measures of angles or sides, noticing when the conditions
Module Topics
Grade 7 Flipbook
Similar Shapes and Scale Drawings (7.G.1.1)
Core Resource:
 Lesson 8.1 (HMH Book)
Additional Resource:
 EngageNY: Module 1 Topic D Lesson 16
 CPALMS: It’s All About the Scale!
 CPALMS: How does scale factor affect the
areas and perimeters of similar figures?
Formative Assessments:
 CPALMS: Flying Scale
 CPALMS: Garden Design
 Illustrative Mathematics: Floor Plan
Essential Vocabulary
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adjacent angles
complementary angles
congruent angles
cross section
intersection
scale
scale drawing
supplementary angles
vertical angles
Higher Order Question Stems
 What is the relationship between ______ and
______?
 What formula could you apply to the
situation?
 What mathematical tool could be used?
2016-2017 Curriculum Blueprint
Grade: 7
Course: Grade 7
Approximate Time:
8
11 days
Module 8: Modeling Geometric Figures
determine a unique triangle, more than one triangle, or no triangle. [conceptual,
Geometric Drawings (7.G.1.2)
procedural]
Core Resource:
 Lesson 8.2 (HMH Book)
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Know which conditions create unique triangles, more than one triangle, or
no triangle.
Analyze given conditions, based on the three measures of angles or sides of
a triangle, to determine when there is a unique triangle, more than one
triangle, or no triangle.
Construct triangles from three given angle measures to determine when
there is a unique triangle, more than one triangle or no triangle.
Construct triangles from three given side measures to determine when
there is a unique triangle, more than one triangle or no triangle.
MAFS.7.G.1.3 (DOK 2) Describe the two-dimensional figures that result from
slicing three-dimensional figures, as in plane sections of right rectangular prisms
and right rectangular pyramids. [conceptual]
 Define “slicing” as the cross-section of a 3-D figure.
 Describe the two-dimensional figures that result from slicing a threedimensional figure such as a right rectangular prism or pyramid.
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Analyze three-dimensional shapes by examining two dimensional crosssections.
MAFS.7.G.2.5 (DOK 2) 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. [application]
 Identify and recognize types of angles: supplementary, complementary,
vertical, adjacent.
 Determine complements and supplements of a given angle.
 Determine unknown angle measures by writing and solving algebraic
equations based on relationships between angles.
Mathematical Practices
Link to Mathematical Practice Standards Rubric
MAFS.K12.MP.2.1 Reason abstractly and quantitatively.
MAFS.K12.MP.4.1 Model in Mathematics
MAFS.K12.MP.5.1: Choose appropriate tools for your problem. Use
mathematical tools correctly and efficiently. Estimate and use what you know
to check the answers you find using tools.
Additional Resource:
 EngageNY: Module 6 Topic B Lesson 15
 CPALMS: Triangle Inequality Investigation
Formative Assessments:
 CPALMS: Drawing Triangles SSS
 CPALMS: Drawing Triangles AAS
Cross Sections (7.G.1.3)
Core Resource:
 Lesson 8.3 (HMH Book)
Additional Resource:
 CPALMS: Can You Cut It?
 EngageNY: Module 6 Topic C
Formative Assessments:
 CPALMS: Can You Cut It?
 Illustrative Mathematics: Cube Ninja!
Angle Relationships (7.G.2.5)
Core Resource:
 Lesson 8.4 (HMH Book)
Additional Resource:
 EngageNY: Module 3 Topic B Lesson 10
 CPALMS: Angles, Angles Everywhere!
Formative Assessments:
 CPALMS: Find the Angle Measure
 CPALMS: What’s Your Angle?
 CPALMS: Solve for the Angle?
Writing Connections
 Write to explain the relationship between
____ and ____?
 Write to explain your visual representation.
 Write to explain why you used a specific tool
to solve the problem.
 Link to Webb’s DOK Guide
2016-2017 Curriculum Blueprint
Grade: 7
8
Course: Grade 7
Approximate Time:
11 days
Module 8: Modeling Geometric Figures