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the student will be able to describe π as the ratio of the circumference of a circle to its diameter
model the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights and connect that relationship to the formulas;
: explain verbally and symbolically the relationship between the volume of a triangular prism and a triangular pyramid having both congruent bases and heights and connect that relationship to the formulas; and
: use models to determine the approximate formulas for the circumference and area of a circle and connect the models to the actual formulas.
solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids;
: determine the circumference and area of circles;
: determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles; and
MA.7.9.D-S: solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape's net.