Unit 8
exploring geometric relationships
IN THIS UNIT STUDENTS WILL BE EXPECTED TO:
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LEARNING OBJECTIVES
8.GSR.8.1 Explain a proof of the Pythagorean Theorem and its converse using visual models.
8.GSR.8.2 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles within authentic, mathematical problems in two and three dimensions.
8.GSR.8.3 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system in practical, mathematical problems.
8.GSR.8.4 Apply the formulas for the volume of cones, cylinders, and spheres and use them to solve in relevant problems.
8.GSR.8.2 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles within authentic, mathematical problems in two and three dimensions.
8.GSR.8.3 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system in practical, mathematical problems.
8.GSR.8.4 Apply the formulas for the volume of cones, cylinders, and spheres and use them to solve in relevant problems.
LEARNING TARGET
- I can give or explain proof of the Pythagorean Theorem and its converse (prove perpendicular sides or right triangle).
- I can apply the Pythagorean Theorem in real-world situations or drawings to find unknown side lengths in right triangles in two and three dimensions.
- I can use the Pythagorean Theorem to find the distance between two points on a coordinate system.
- I can use and apply the formulas for volume of cylinders, cones, and spheres to solve real-world problems.