Academic standards

- CCSS.Math.Content.6.G.A.2
- Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge...
- CCSS.Math.Content.7.G.B.4
- Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between...
- CCSS.Math.Content.7.G.B.6
- Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles,...
- CCSS.Math.Content.8.G.C.9
- Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
- GLE 0606.4.3
- Develop and use formulas to determine the circumference and area of circles, and the area of trapezoids, and develop strategies to find the area of composite shapes.
- GLE 0606.4.4
- Develop and use formulas for surface area and volume of 3-dimensional figures.
- SPI 0606.4.4
- Calculate with circumferences and areas of circles.
- SPI 0606.4.5
- Determine the surface area and volume of prisms, pyramids and cylinders.
- SPI 0606.4.6
- Given the volume of a cone/pyramid, find the volume of the related cylinder/prism or vice versa.
- TSS.Math.6.G.A.2
- Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and...
- TSS.Math.7.G.B.3
- Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the...
- TSS.Math.7.G.B.5
- Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles,...
- TSS.Math.8.G.C.7
- Know and understand the formulas for the volumes of cones, cylinders, and spheres, and use them to solve real-world and mathematical problems.

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Essential and guiding questions:

Questions for Students:

- How can we change the formula P = 4s into an equation with P and s on the same side of the equals sign?
- Though we may already know P = 4s for squares, why are some of our ratios P ÷ s not coming out to exactly 4?
- There is a constant that relates a square’s side to its perimeter, and there is a constant that relates a circle’s diameter to its circumference. Is there a similar constant for a rectangle? Why or why not?