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Easy as Pi It’s as Easy as Pi 1. Carefully wrap string around the circumference of your circular object. 2. Cut the string when it is exactly the same length as the circumference. 3. Now take your “string circumference” and pull it across the diameter of your circular object. Cut as many “string diameters” from your “string circumference” as you can. 4. Repeat steps 1-3 with at least 3 different circular objects. 5. Record your results in the table. Use a calculator to find the ratio of circumference and diameter. What do you notice?
Construction Construct triangles with given conditions.
Construct a ∆ ABC in which BC= 6cm, CA = 5cm, and AB = 4cm. Construct a ∆ PQR in which PQ = 5.8cm, QR = 6.5cm and PR = 4.5cm. Construct a ∆ LMN in which LM = LN=5.5cm, and MN = 7cm. Construct a ∆ STU in which T=60° U = 70° and TU = 7.5cm. Construct a right triangle ABC in which C= 90 °and B = 45, CB = 5cm. Construct an equilateral triangle in which AB=BC=CA=6cm. Measure each angle.
1. Carefully wrap string around the circumference of your circular object. 2. Cut the string when it is exactly the same length as the circumference. 3. Now take your string circumference and pull it across the diameter of your circular object. Cut as many string diameters from your string circumference as you can. 4. Repeat steps 1-3 with at least 3 different circular objects. 5. Record your results in the table. Use a calculator to find the ratio of circumference and diameter. What do you notice
Each of the following descriptions fit one or more solids (prism, pyramid, cone, cube, a cylinder). For each clue, describe what solid it may be and your justification for selecting that solid. If the description fits more than one solid, name and provide justification for each solid. Sketch the solid, and illustrate the properties described.
5 Sets of Parallel Lines. 3 Supplementary Angles. 3 Complementary Angles. Key. Right Triangles-Red. Isosceles Triangles-Blue. Obtuse Triangles-Orange. Acute Triangles-Green. Scalene Triangles-Purple.
Surface Area -area of all faces of a solid. Volume- the capacity of a figure. Circumference-the distance around a circle. 2-D Geometric Figures. Square and rectangle. Triangle. Parallelogram. Trapezoid. Circle. 3-D Geometric Figures. Sphere. Cone. Pyramid. Cylinder. Prism. Cube.
Answer question in complete sentences.
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Constructing triangles