Lancaster School District
GEOMETRY MATH Unit 6/7
Unit Title: Geometric Measurement and Dimension/Modeling with Geometry
Grade: 8th Grade Geometry
Unit Length: 5 Weeks
Date Created: 2013-2014
Unit Components/Sub-Headings
Area Formulas for
Polygons
Length, Perimeter, and
Area Ratios in Similar
Polygons
Solids
Surface Area
Volume
Similar Solids
Common Core Content Standards
MAJOR
MAJOR
MAJOR
MAJOR
MAJOR
MAJOR
Supporting
Supporting
Supporting
Supporting
Supporting
Supporting
Additional
Additional
Additional
Additional
Additional
Additional
Unit Vocabulary/
Concepts/Topics
 bases of a
parallelogram
 height of a
parallelogram
 height of a trapezoid
 circumference
 center of a polygon
 radius of a polygon
 apothem of a
polygon
Unit Vocabulary/
Concepts/Topics
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
regular polygon
corresponding
sides
similar polygons
Lancaster School District
Department of Curriculum, Instruction & Assessment
Unit Vocabulary/
Concepts/Topics
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polyhedron
face
edge
vertex
base
convex polyhedron
Platonic solids
tetrahedron
cube
octahedron
Unit Vocabulary/
Concepts/Topics
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prism
lateral faces
lateral edges
net
right prism
oblique prism
cylinder
right cylinder
pyramid
vertex of a pyramid
Unit Vocabulary/
Concepts/Topics
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volume
sphere
center of sphere
radius of sphere
chord of sphere
diameter of sphere
great circle
hemisphere
Unit Vocabulary/
Concepts/Topics
 similar solids
Math Unit Design Template
June 7, 2013
Lancaster School District
 central angle of a
regular polygon
Prior knowledge to build
on
Prior knowledge to build on
 dodecahedron
 icosahedrons
 cross section
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Prior knowledge to build
on
Prior knowledge to build
on
Objectives/Learning Targets: The student will . . ./I can . . .
1.
2.
3.
4.
5.
6.
7.
7.
8.
9.
10.
11.
12.
I will find areas of triangles and parallelograms.
I will find areas of other types of quadrilaterals.
I will use ratios to find areas of similar figures.
I will find arc lengths and other measures.
I will find areas of circles and sectors.
I will find areas of regular polygons inscribed in circles.
I will identify solids.
I will use properties of polyhedral
I will find the surface areas of prisms and cylinders.
I will find surface areas of pyramids and cones.
I will find volumes of prisms and cylinders.
I will find volumes of pyramids and cones.
I will find surface areas and volumes of spheres.
regular pyramid
slant height
cone
vertex of a cone
right cone
lateral surface
Prior knowledge to build
on
Prior knowledge to build
on
CC Standards for Mathematical Practice
1.
2.
3.
4.
5.
6.
7.
8.
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.
EMPHASIS FOR THIS UNIT:
#6
#8
Unit Resources/Materials/Strategies
Lancaster School District
Department of Curriculum, Instruction & Assessment
Math Unit Design Template
June 7, 2013
3
Student Activities
Paper Patty Geometry Activities Books
Textbook Teacher Resource Kit
Geometry Textbook
Chapter 11 and Chapter 12
Pages: 718-867
Collaboration
Geometry Station Activities for Common Core State Standards
Technology
Problem Solving
Chapter 11 Performance Task; pdf
Chapter 12 Performance Task; pdf
Internet Sites
http://www.mangahigh.com
http://www.geogebra.org/
Sketch Pads at http://www.keycurriculum.com
Manipulatives/Visuals
Real World Applications
http://www.classzone.com
Supplemental Materials
ASSESSMENT/Evidence of Learning
Select and Describe
(Choose the best tool/s for this unit; not all are required)
Lancaster School District
Department of Curriculum, Instruction & Assessment
FLEXIBLE AND RESPONSIVE INSTRUCTION
Select/create corrective and enrichment activities/strategies
Math Unit Design Template
June 7, 2013
4
Selected response (e.g., multiple choice, matching, true/false)
Constructed response (e.g., fill-in-the-blank, short answer, label, graphic)
Unit Performance Task
Products (e.g., graph, model, project, poster)
Interventions
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re-teaching
alternative textbooks
alternative materials
workbooks and study guides
academic games
learning kits
cooperative groups/teams
peer and individual tutoring
learning centers and
laboratories
 technology-assisted
instruction (e.g., Podcasts,
internet applications, video)
Enrichments/Extensions
•tutoring peers
•developing practice exercises
•developing related media materials
•completing special projects and experiments
•developing games, problems, and contests
•using advanced computer-assisted/web-based lessons
•locating background materials for future or current
topics
•developing additional formative assessments
•planning to teach a mini-unit
•creating bulletin boards and displays
•applying knowledge to a new situation
Performances (e.g., class presentation, explanation of problem solving method)
Process-focused (e.g., critique thinking of others, justify process & results)
Student Self-Assessment (e.g., journal reflection, portfolio)
Portfolio (e.g., collections of products, performances, artifacts, tests)
Lancaster School District
Department of Curriculum, Instruction & Assessment
Math Unit Design Template
June 7, 2013