Grade Level:7
Big Idea/Theme: Measurement and Geometry / Timeframe Needed for Completion:9 weeks
Grading Period:3rd/4th 9 wks.
Unit 4 Title: Shape it up!
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:
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. / 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?
- How do we use volume and surface are in everyday life?
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:
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
Materials Suggested:
NCDPI Resources:
National Library of Manipulatives
NCTM Illuminations
Lesson Plan sites and Activities:
Math Graphic Organizers
AVID Library/Write Path Books
SMART Board Lessons
exchange.smarttech.com
Geometry Scavenger Hunt