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Lessons

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    Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

    Give informal arguments for the formula of the volume of a cylinder, pyramid, and cone using Cavalieri’s principle.

     
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    Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).

     
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    Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.

    Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

     
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    Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

    Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone.

    Apply the formulas for the volume of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

     
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    Prove the Laws of Sines and Cosines and use them to solve problems.

    Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).