Download Unit 4

Subject: Math
Grade Level: 7
Big Idea/Theme: Measurement and Geometry
Unit 4 Title: Shape it up!
Timeframe Needed for Completion: 9 weeks
Grading Period: 3rd/4th 9 wks.
Understandings:
 How scale drawing are used
 Volume is the interior of a space expressed in cubic units
 Surface Area is the total area of the surfaces expressed in square units
 Identify corresponding parts of similar or congruent polygons (corresponding sides and angles)
 Use proportional reasoning in relationship to similar and congruent figures
 Fluency in problem solving skills- continue with ongoing strategies
 Determine the area and perimeter of given triangles, quadrilaterals and circles
Curriculum Goals/Objectives:
Essential Questions:
Common Core Standards
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Draw, construct and describe geometrical figures and describe the relationship
between them.
7.G.1 Solve problems involving scale drawing of geometric figures, including computing
actual lengths and areas from a scale drawing and reproducing a scale drawing at a different
scale.
7.G.2 Draw geometric shapes with given conditions. Focus on constructing triangles with
three measures of angles and sides, noticing what the conditions determine a unique
triangle, more than one triangle or no triangle.
7.G.3 Describe the two-dimensional figures that result from slicing three-dimensional
figures as in plane sections of right rectangular prisms, and right triangle pyramids.
Solve real-life and mathematical problems involving angle measures, area, surface
area and volume.
7.G.4 Know the formulas for the area and circumference of a circle and use them to solve
problems, showing a relationship between the circumference and area of a circle.
7.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.
7.G.6 Solve real-world and mathematical problems involving area, volume and surface
area of two and three dimensional objects composed of triangles, quadrilaterals, polygons,
cubes, and right prisms.
Essential Skills/Vocabulary:
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How are geometric shapes represented in architecture?
How do you think Volume and Surface Area affect each
other?
Are geometric figures and geometric shapes different?
How would the world be different if it was 2 dimensional?
How are geometric properties used to solve problems in
everyday life?
When does Algebra help us understand Geometry?
When does Geometry help us understand Algebra?
How do we use volume and surface are in everyday life?
Assessment Tasks:
Vocabulary:
Scale Drawing
Scale
Scale Factor
Scale Model
Solid
Volume
Rectangular Prism
Cylinder
Surface Area
Cones
Pyramid
Circumference
Corresponding
parts
Similar
Congruent
Angles
Base
Height
Complex
Figures
Skills:
Area of triangle,
trapezoid, circle,
rectangles, and squares
Basic Angles
Coordinate Plane
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ClassScape
Nets
Quickwrites
Foldables
Activities on building 3-D figures (identifying the front
view, side view and top view, located in the 7th grade
Objective tasks)
Activities on comparing Volume and Surface Area
Attack of a 50 Foot Woman (located in the 7th grade
Objective tasks)
Materials Suggested:
NCDPI Resources:
http://www.ncpublicschools.org/curriculum/mathematics/middlegrades/grade08/
http://mathlearnnc.sharpschool.com/cms/One.aspx?portalId=4507283&pageId=5149151
National Library of Manipulatives
http://nlvm.usu.edu/en/nav/vlibrary.html
NCTM Illuminations
http://illuminations.nctm.org/
Lesson Plan sites and Activities:
http://www.lessonplanspage.com/Math.htm
http://www.ilovemath.org
Math Graphic Organizers
http://www.enchantedlearning.com/graphicorganizers/math/
AVID Library/Write Path Books
SMART Board Lessons
exchange.smarttech.com
Geometry Scavenger Hunt
www.jncamp.people.wm.edu