7th grade
geometry
STANDARDS
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ESSENTIAL QUESTIONS
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CC.7.G.1 Draw, construct, and describe geometrical figures and describe the relationships between them. Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
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How can you use a proportion to help determine the actual measurements of a scaled object? How are scale drawings used in the real world?
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CC.7.G.2 Draw, construct, and describe geometrical figures and describe the relationships between them. 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.
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How do you know if the conditions you have been given will produce one triangle, two triangles, or no triangle?
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CC.7.G.3 Draw, construct, and describe geometrical figures and describe the relationships between them. Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
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What is the difference between a two-dimensional figure and a three dimensional figure? How can you use this information when working with solids?
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CC.7.G.4 Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. 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.
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What is pi? How can you determine the circumference or area of a circle if you only know the diameter of the circle? How does the area of a circle relate to the area of a rectangle?
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CC.7.G.5 Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. 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.
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When two lines intersect, what special angle pairs are formed? How do angle pairs help determine unknown angle measures?
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CC.7.G.6 Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. 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.
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How can you use rectangles and triangles to find the area of other polygons? How do you determine the volume of a right prism? How would you calculate the surface area?
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