Ms. G & Ms. Safer You have five minutes to complete the pre – assessment. Do your best! LEONARDO da VINCI Painter Sculptor Architect Mathemati cian Inventor scientist Engineer Writer Musician botanist da Vinci believed… The IDEAL person’s height was the same as the length of their arm span Collect and organize data from each other to create box-and-whisker plots to illustrate how close we measure up to da Vinci’s “IDEAL” person. MATERIALS For you and your partner: 1 tape measure 1 calculator 2 data table/box-and- whisker worksheets DIRECTIONS 1. Measure each other’s arm span & height in centimeters 2. Record data in data table 3. Calculate each other’s height to arm span ratios (use calc.) 4. Record this ratio in you tables RECAP!!! What is a RATIO???? Describes a numerical RELATIONSHIP RATIO How will we calculate it for height to arm span? Height ÷ Arm Span RATIO: height arm span What does this tell us? How “IDEAL” your body’s proportions are according to da Vinci DIRECTIONS 1. Measure each other’s arm span & height in centimeters 2. Record data in data table 3. Calculate each other’s height to arm span ratios (use calc.) 4. Record this ratio in you tables Box-and-Whiskers Plot http://shodor.org/interactivate/activities/ BoxPlot/ What do BOX-and-WHISKERS plots show??? SPREAD! (degree of dispersion) student Arm span height student Arm span height 1 156 162 13 177 173 2 157 160 14 177 176 3 159 162 15 178 178 4 160 155 16 184 180 5 161 160 17 188 188 6 161 162 18 188 187 7 162 170 19 188 182 8 165 166 20 188 181 9 170 170 21 188 192 10 170 167 22 194 193 11 173 185 23 196 200 184 12 173 176 24 186 How someone with Howdo doyou you identify identify someone with an arm span? a above belowaverage average height? Mean arm span = 175.5 cm Mean height = 174.8 cm What information did we draw from this scatterplot that is not as clear when analyzing your stem-and-leaf and box-and-whiskers plots? CORRELATION The amount of positive or negative relationship existing between two measures. Line of best fit! A straight line used as a best approximation of a summary of all the points in a scatter-plot Plot your measurements on the scatter plot http://www.learner.org/courses/learningmath/data/session7/part_a/further.html#a5 Box-and-whiskers? Scatterplots? Spread Correlation LEONARDO da VINCI Golden Ratio You have five minutes to complete the post – assessment. Do your best!