Perimeter, area, and volume
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Area of Parallelograms - Activity A
Examine and manipulate the graph of a parallelogram or triangle and find its area. Explore the relationship between the area of … a parallelogram and the area of a rectangle using an animation.
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Area of Parallelograms - Activity B
Explore the relationship between the area of a parallelogram and the area of a rectangle using an animation. Also, with the help of … an animation, see that any triangle is half of a parallelogram.
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Circle: Circumference and Area
Resize a circle and compare its radius, circumference, and area.
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Maximize Area
Maximize the area of a rectangle with a given perimeter. Vary the perimeter, base, and height of the rectangle and examine changes to … the graph of the area.
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Minimize Perimeter
Minimize the perimeter of a rectangle with a given area. Vary the perimeter, base, and height of the rectangle and examine changes to … the graph of the area.
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Perimeter, Circumference, and Area - Activity A
Resize a rectangle, circle, or square and find its perimeter or circumference and area. Superimpose a grid on the figure to estimate its area.
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Perimeter, Circumference, and Area - Activity B
Resize a rectangle, circle, or square and find its perimeter or circumference and area.
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Perimeters and Areas of Similar Figures
Manipulate two similar figures and vary the scale factor to see what changes are possible under similarity. Explore how the perimeters … and areas of two similar figures compare.
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Prisms and Cylinders - Activity A
Vary the height and base‑edge or radius length of a prism or cylinder and examine how its three‑dimensional … representation changes. Determine the area of the base and the volume of the solid. Compare the volume of a skew prism or cylinder to the volume of a right prism or cylinder.
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Prisms and Cylinders - Activity B
Vary the height and base‑edge or radius length of a prism or cylinder and examine how its three‑dimensional … representation changes. Determine the area of the base and the volume of the solid. Compare the volume of a skew prism or cylinder to the volume of a right prism or cylinder.
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Pyramids and Cones - Activity A
Vary the height and base‑edge or radius length of a pyramid or cone and examine how its three‑dimensional representation … changes. Determine the area of the base and the volume of the solid. Compare the volume of a skew pyramid or cone to the volume of a right pyramid or cone.
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Pyramids and Cones - Activity B
Vary the height and base‑edge or radius length of a pyramid or cone and examine how its three‑dimensional representation … changes. Determine the area of the base and the volume of the solid. Compare the volume of a skew pyramid or cone to the volume of a right pyramid or cone.
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Rectangle: Perimeter and Area
Resize a rectangle and compare its length, width, and area.
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Surface and Lateral Area of Prisms and Cylinders
Vary the dimensions of a prism or cylinder and investigate how the surface area changes. Use the dynamic net of the solid to compute … the lateral area and the surface area of the solid.
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Surface and Lateral Area of Pyramids and Cones
Vary the dimensions of a pyramid or cone and investigate how the surface area changes. Use the dynamic net of the solid to compute the … lateral area and the surface area of the solid.
