Jesse Pratt

 The Golden ratio is a special number that is found by dividing a line into two parts, so that the longer part divided by the smaller part is equal to the whole length of the line divided by the longer part.  a/b=(a+b)/a= 1.618….. 

 Using the Golden ratio you can create a Golden rectangle. 

 The ratio can be seen in the architcture of many ancient creations, like the great pyramids, the Eiffel Tower and the Parthenon.

 Grade 7, Geometry  CCSS.Math.Content.7.G. Draw, construct, and describe geometrical figures and describe the relationships between them.  1. Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.  2. Describe the two-dimensional figures that result from slicing three dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

 Have the students draw three rectangles.  Measure the lengths of the sides.

 After they draw their rectangles, explain ratios(if haven’t gone over them before)  Explain what the golden ratio is.  Then ask the students which one of their rectangles is closest to the “Golden Rectangle”

 Explain what a golden rectangle is and then have the students take their measurements and find what the ratio of their rectangle lengths are and see if their guess was correct.

 Have the students construct a Golden Rectangle.   Measure their sides, and then calculate the ratio and see if it is close to 1.618

 Get into groups of 3 and have each students measure each other with a measuring tape from their feet to top of their head, and also from their feet to their bellybuttons.  Then have them calculate the measurements as a ratio, and see how the students are compared to the Golden Ratio.