Unit 4 -Geometry

# Unit 4

This unit focuses on how to teach students to draw geometric figures using rulers and protractors with an emphasis on triangles. Students will also explore two-dimensional crosssections of cylinders, cones, pyramids, and prisms. Their knowledge from 6th grade will help when they are learning to write and solve equations involving angle relationships and when solving engaging problems that require determining the area, volume, and surface area of fundamental solid figures. This unit also requires students to know and use the formula for the circumference and area of a circle.

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### Draw, construct, and describe geometrical figures and describe the relationships between them.

MGSE7.G.2 Explore various geometric shapes with given conditions. Focus on creating triangles from three measures of angles and/or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

MGSE7.G.3 Describe the two-dimensional figures (cross-sections) that result from slicing threedimensional figures, as in plane sections of right rectangular prisms, right rectangular pyramids, cones, cylinders, and spheres. Solve real‐life and mathematical problems involving angle measure, area, surface area, and volume.

MGSE7.G.4 Given the formulas for the area and circumference of a circle, use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

MGSE7.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.

MGSE7.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.