Digital Unit Plan Template
Unit Title: Geometric Measurement/Dimensions
Name: Katie Halderman
Content Area: Geometry
Grade Level: High School (9th, 10th, 11th, and 12th grade)
CA Content Standard(s)/Common Core Standard(s):
CCSS.Math.Content.HSG-GMD.A.1 Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder,
pyramid, and cone.
CCSS.Math.Content.HSG-GMD.A.2 Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.
CCSS.Math.Content.HSG-GMD.A.3 Use volume and surface area formulas for cylinders, pyramids, cones, and spheres to solve problems.
CCSS.Math.Content.HSG-MG.A.1 Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human
torso as a cylinder).
CCSS.Math.Content.HSG-MG.A.2 Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic
foot).
CCSS.Math.Content.HSG-MG.A.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or
minimize cost; working with typographic grid systems based on ratios).
Big Ideas:
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Big Ideas
Find the volume and surface area of any polyhedron or three dimensional object when given the dimensions.
Model three dimensional shapes after real world objects.
Apply geometric concepts in modeling situations.
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Essential Questions:
What information do I need to find the volume of an object?
What information do I need to find the surface area of an object?
How can I find the volume and surface area of an object?
What can I model geometric shapes as?
How can I use the volume and surface area formulas in the real world?
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Unit Goals and Objectives:
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Correctly identify all polyhedron and three dimensional shapes.
Find the surface area and volume of an object when given the dimensions of a three dimensional object.
Model geometric, three dimensional shapes, after real life examples.
Use volume and surface area formulas to find the depth and area of real world objects and examples.
Answer all the provided essential questions.
Unit Summary:
In this unit we are going to explore geometric shapes. After being taught and deriving surface area and volume formulas for various types of polyhedral,
students will be able to see a shape and know the correct formulas to use. After learning how to determine and name these shapes we will visit their
properties, measurements, and dimensions. Using these properties and measurements we are going to practice find the surface area and volume. These
shapes will include all polyhedra (i.e., boxes, prisms, pyramids, etc.) and other three dimensional shapes (e.g., cylinders, cones, and spheres). Next we will
be learning how to model geometric shapes after objects that we see every day in the real world (modeling a tree trunk after a cylinder). We will then learn
how these shapes and formulas can be used in our lives by solving examples designed from the real world. After doing numerous practice problems
individually and discussing the answers as a class, students will see how these formulas can help us in the real world. A written test at the end of the unit
will evaluate what the students learned and allow for more in depth analysis if more needs to be worked on.
Assessment Plan:
Entry-Level:
Formative:
Summative:
When given a three dimensional object, students
will brainstorm how they can find the surface
area of this object. This will tap into prior
knowledge of how to find the area of any two
dimensional shape.
Questions to Check for Understanding| Come
up with ways that we can use the volume and
surface area of objects in the real world
Flashcards| Formulas for different shape’s
volume and surface areas on flashcards to help
memorization
Critical Thinking Question| Work with group to
solve real world problems
Quiz| Quiz to assess their understanding of
volume and surface area
Test| Formal, written exam to assess knowledge
and understanding of volume and surface area of
different three dimensional objects.
Lesson 1
Student Learning Objective:
Begin to learn the surface
area and volume formulas.
Learn how these math
problems can relate to the
real world.
Acceptable Evidence:
Students will be able to
communicate with each
other effectively to come up
with ideas and theories.
Students will correctly fill
out the guided notes
provided to them.
Instructional Strategies:
☒ Communication
☐ Collection
Student Learning Objective:
Students will individually
be able to think critically in
order to answer and
present abstract questions
about three dimensional
shapes in an organized
way.
Lesson 3
Acceptable Evidence:
Students will be able to
answer all questions
correctly from the
‘Webercise’. When given a
written quiz, students will
be able to correctly answer
questions
Instructional Strategies:
☐ Communication
☒ Collection
☐ Collaboration
☒ Presentation
☒ Organization
☐ Interaction
Lesson Activities:
Students will be given a Webercise in which they go to a specific website and
answer questions given to them. These questions were developed to get
students thinking critically and organize their thoughts and ideas onto one
page.
Student Learning Objective:
Ensure that students know
all of the geometric
formulas and learn a new
technological tool.
Acceptable Evidence:
Students will be able to
organize what they have
learned in a graphic
organizer following all
directions on the rubric.
When given a written test,
students will be able to
correctly answer questions
Instructional Strategies:
☒ Communication
☒ Collection
☒ Collaboration
☒ Presentation
☒ Organization
☒ Interaction
Lesson Activities:
Students are to follow specific directions to create a graphic organizer using
the website Gliffy. This activity will help them get practice with 21st century
skills and technology as well as solidify what they have learned throughout
the unit. The unit will be concluded with a test.
Lesson Activities:
Teacher lecture in which students will fill out guided notes as they follow
along with a presentation created for them about surface area and volume
☒ Collaboration
☐ Presentation
☒ Organization
☒ Interaction
Lesson 2
Unit Resources:
McDougal Littell Geometry (2001)
http://www.mathsisfun.com/geometry/polyhedron.html
http://mathworld.wolfram.com/Polyhedron.html
http://www.mathisfun.com/
http://www.geogebra.org/cms/en/
http://illuminations.nctm.org/Activity.aspx?id=3521
http://www.regentsprep.org/Regents/math/geometry/GG2/indexGG2.htm
http://www.learner.org/interactives/geometry/
Useful Websites:
http://www.cut-the-knot.org/do_you_know/polyhedra.shtml
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic
http://www.coolmath.com/
http://www.mathgoodies.com/articles/
http://www.bbc.co.uk/skillswise/maths