composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Number Common Core Standard for Introduction 8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. Unit Enduring Understandings Unit Essential Questions Students will understand that… How is geometry used in the Solve real-life and mathematical problems involving angle measure, area, perimeter, surface How is finding the volume of a area, and volume. composite figure different than Realize that scale drawings have corresponding quantities that vary finding the surface area of a proportionally. composite figure? How is it similar? How are scales used to reproduce scale drawings? Unit Objectives Unit Objectives Students will know… Students will be able to… The formulas used to find area, Find the volume of rectangular and surface area, and volume of figures triangular prisms. and circumference of circles. Find the volume of cylinders, cones, and How to find unknown measures and pyramids. the sum of angles in polygons. Find the surface area of prisms, cylinders, and Fundamental angle relationships. pyramids. Changes in dimensions affect area Find the volume and surface area of and volume. composite figures. Proportional relationships by Classify and identify angles and find missing using scale drawings. measures. Classify and identify triangles and find missing measures. Classify quadrilaterals and find missing angle measures. Solve problems involving scale drawings of geometric figures.
composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Number Common Core Standard for Introduction 8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. Unit Essential Questions How is geometry used in the How is finding the volume of a composite figure different than finding the surface area of a composite figure? How is it similar? How are scales used to reproduce scale drawings? Unit Enduring Understandings Students will understand that… Solve real-life and mathematical problems involving angle measure, area, perimeter, surface area, and volume. Realize that scale drawings have corresponding quantities that vary proportionally. Unit Objectives Students will know… The formulas used to find area, surface area, and volume of figures and circumference of circles. How to find unknown measures and the sum of angles in polygons. Fundamental angle relationships. Changes in dimensions affect area and volume. Proportional relationships by using scale drawings. Unit Objectives Students will be able to… Find the volume of rectangular and triangular prisms. Find the volume of cylinders, cones, and pyramids. Find the surface area of prisms, cylinders, and pyramids. Find the volume and surface area of composite figures. Classify and identify angles and find missing measures. Classify and identify triangles and find missing measures. Classify quadrilaterals and find missing angle measures. Solve problems involving scale drawings of geometric figures.
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