7.G-Picture Problem: Fireworks

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When a firework goes in the air, it blows up in a circular shape.  One could use a compass and draw a circle around the entire firework explosion. When a complete circle is drawn, one could use a ruler to measure what the diameter of the circle is. After the diameter is determined, one could find the area of the circle. The Common Core State Standard that this picture problem would align with is CCSS.Math.Content.7.G.B4. The student would have to know what the formula is to find the area of a circle is in order to actually find the are of the circle.

One thought on “7.G-Picture Problem: Fireworks

  1. Another possible math question could deal with the angles of the different colored light beams. The students could use the lower picture and find the length of two similar colored beams. They would use a ruler to measure the lengths. After that the students could connect the end points of the beams and measure the last side of the triangle they have created. With all of the information they have gathered, they would be able to use trigonometric functions to find the angles of the triangle.

    CCSS: 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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