Download Unit 4

Subject: Math
Grade Level: 7 Compacting
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
 Use a variety of tools to draw different geometric figures using given data.
 With given angles determine missing measurement using equations.
 Determine the area and perimeter of given triangles, quadrilaterals and circles.
 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
 Transformations: Identify and create translations, reflections, rotations and dilations on a coordinate plane
 Identify and understand the relationship of parallel lines cut by a transversal.
 Fluency in problem solving skills- continue with ongoing strategies
Curriculum Goals/Objectives:
Common Core Standards
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.
Understand congruence and similarity using physical, models, transparencies, or geometry
software.
8.G.1 Verify experimentally the properties of rotations, reflections and translations:
a. Lines are taken to lines, and line segments to line segments of the same length.
b. Angles are taken to angles of the same measure
c. Parallel lines are taken to parallel lines.
8.G.2 Understand that a two-dimensional figure is congruent to another if the second can be
Essential Questions:
 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?
 What happens to a set of parallel lines when it is cut
by a transversal?
 How do you distinguish is a figure is similar or
congruent?
 What process is used to distinguish different
transformations?
obtained from the first by a sequence of rotations, reflections and translations; given two congruent
figures, describe a sequence that exhibits the congruence between them.
8.G.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional
figures using coordinates.
8.G.4 Understand that a two-dimensional figure is similar to another if the second can be obtained
from the first by a sequence or rotations, reflections, translations ad dilations; given two similar twodimensional figures, describe a sequence that exhibits the similarity between them.
8.G.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles,
about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for
similarity of triangles.
Essential Skills/Vocabulary:
Assessment Tasks:
 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)
Vocabulary:
Pyramid
Skills:
Scale Drawing
Circumference Area of triangle, trapezoid,
Scale
Corresponding
circle, rectangles, and squares
Scale Factor
parts
Basic Angles
Scale Model
Similar
Basic Geometric Concepts
Solid
Congruent
Coordinate Plane
Volume
Angles
Rectangular Prism
Base
Cylinder
Height
Surface Area
Complex
Cones
Figures
Reflection
Translation
Sphere
Rotation
Line Segments
Dialation
Parallel Lines
Vertical
Transversal
Angles
Alternate Interior
Same Side
Angles
Interior
Alternate Exterior
Angles
Angles
Corresponding Angles
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