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Decision One: Curriculum Map Topic: Geometry 2014-2015 Key Learning(s): Grade: 7 Unit Essential Question(s): In the real world, being able to visualize and then represent geometric figures on paper is essential to solving geometric problems. Optional Instructional Tools: How do you draw, construct and describe geometrical figures and describe the relationships between them? Concept: Concept: Concept: Concept: Solve problems involving scale drawings of geometric figures, including finding length and area – M07.C-G.1.1.1 Identify or describe the properties of all types of triangles based on angle and side measures – M07.C-G.1.1.2 Use and apply the triangle inequality theorem – M07.C-G.1.1.3 Describe the two-dimensional figures that result from slicing three-dimensional figures – M07.C-G.1.1.4 Lesson Essential Questions: Lesson Essential Questions: Lesson Essential Question Lesson Essential Questions: *Covered in Ratios and Proportional Relationships What measures determine the uniqueness of a triangle? How do you use and apply the triangle inequality theorem? How would you describe the two-dimensional figure that results from slicing threedimensional figures? Vocabulary: Vocabulary: Equilateral triangle Isosceles triangle Scalene triangle Acute triangle Obtuse triangle Right triangle Unique triangle Triangle Sum Theorem Triangle Inequality Theorem Vocabulary: Triangle Inequality Theorem Vocabulary: Prisms Pyramids Plane Cross-section Parallel Perpendicular Vertical Horizontal Congruent Similar Concept: Concept: Concept: Concept: Identify and use properties of supplementary, complementary and adjacent angles in a multistep problem to write and solve simple equations for an unknown angle in a figure – M07.C-G.2.1.1 Identify and use properties of angles formed when two parallel lines are cut by a transversal – M07.C-G.2.1.2 Find the area and circumference of a circle. Solve problems involving area and circumference of a circle(s) – M07.C-G.2.2.1 Solve real-world and mathematical problems involving area, volume, and surface area of two- and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms – M07.C-G.2.2.2 Lesson Essential Questions: How do you find the measure of an unknown angle in a figure using properties of supplementary, complementary and adjacent angles? Lesson Essential Questions: What are the angles formed when a transversal cuts parallel lines? How are the properties of interior, exterior and corresponding angles used to find missing angle measures? Vocabulary: Lesson Essential Question Lesson Essential Questions: How do you solve problems involving area and circumference of a circle? How do you find the area, volume and surface area of twoand three-dimensional figures? Vocabulary: Vocabulary: Parallel lines Transversal Alternate interior angles Alternate exterior angles Vertical angles Corresponding angles Area Circumference Radius Diameter Pi Center Area Volume Surface area Cubic unit Square unit Net Base Edge Face Height Cube Vertex Vocabulary: Angle Supplementary angles Complementary angles Adjacent angles Acute angle Obtuse angle Right angle Straight angle Congruent angles Vertical angles