Mathematics 7 (Grade 6/7)
4: Geometry (7.G)
Students continue their work with area from Mathematics 6, solving problems involving the area and circumference of a circle and surface area of three-dimensional objects. In preparation for work on congruence and similarity in Grade 8 they reason about relationships among informal geometric constructions. Students work with three-dimensional figures, relating them to two-dimensional figures by examining cross-sections. They solve real-world and mathematical problems involving area, surface area, and volume of two-and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes and right prisms.
What should my child know and be able to do?
Students will:
Draw construct, and describe geometrical figures and describe the relationships between them.
7.G.A.2
Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
7.G.A.3
Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
7.G.B.4
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
7.G.B.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.
Students will:
Draw construct, and describe geometrical figures and describe the relationships between them.
7.G.A.2
Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
- Check for Understanding: Constructing Triangles
- Review/Rewind: Constructing A Triangle Using Three Given Side Measures
7.G.A.3
Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
- Check for Understanding: Cross sections of 3D objects (basic)
- Review/Rewind: Describe Dimensional Cross Sections of Right Rectangular Prisms
- Enrichment Tasks: Cube Ninjas!
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
7.G.B.4
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
- Check for Understanding: Area of a Circle | Area and Circumference of Circles | Radius, Diameter and Circumference
- Review/Rewind: Labeling Parts of a Circle | Area of a Circle | Circumference of a Circle
- Enrichment Tasks: Measuring the area of a circle* | Designs*
7.G.B.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.
- Check for Understanding: Surface Area | Solid Geometry
- Review/Rewind: Solve real-world problems involving the volume of rectangular prisms by using a formula | Volume & Surface Area
- Enrichment Tasks: Sand Under the Swing Set* | Drinking the Lake
What are some signs of student mastery?
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Tools & Technology
GeoGebra is a dynamic math software tool that allows users to explore geometry, algebra, tables, graphing, statistics and other areas of math in one easy-to-use package. It can be downloaded for FREE on a computer or tablet device. Dunk Tank: In this interactive game, learners explore how to calculate diameter, radius and circumference. It also introduces the concept of pi and its relationship to circle area and circumference. |
More 4 U
Watch a video of a seventh grade teacher extending the concepts in this unit to discovering the formula for the surface area of a cylinder. Source: The Teaching Channel
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