“CLOSE TO IDEAL” Ms. G & Ms. Safer.

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Presentation transcript:

“CLOSE TO IDEAL” Ms. G & Ms. Safer

You have five minutes to complete the pre – assessment. Do your best! PRE-TEST: You have five minutes to complete the pre – assessment. Do your best!

Who is this man??? LEONARDO da VINCI Painter Sculptor Architect Mathematician Inventor scientist Engineer Writer Musician botanist

Vitruvian Man

The IDEAL person’s height was the same as the length of their arm span da Vinci believed… The IDEAL person’s height was the same as the length of their arm span

TODAY’S OBJECTIVE: 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 1 tape measure 1 calculator For you and your partner: 1 tape measure 1 calculator 2 data table/box-and- whisker worksheets

DIRECTIONS Measure each other’s arm span & height in centimeters Record data in data table Calculate each other’s height to arm span ratios (use calc.) Record this ratio in you tables

RECAP!!! What is a RATIO???? Describes a numerical RELATIONSHIP

How will we calculate it for height to arm span? RATIO How will we calculate it for height to arm span? Height ÷ Arm Span

How “IDEAL” your body’s proportions are according to da Vinci RATIO: height arm span What does this tell us? How “IDEAL” your body’s proportions are according to da Vinci

DIRECTIONS Measure each other’s arm span & height in centimeters Record data in data table Calculate each other’s height to arm span ratios (use calc.) 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)

177 178 184 188 194 196 200 student Arm span height 1 156 162 2 157 160 3 159 4 155 5 161 6 7 170 8 165 166 9 10 167 11 173 185 12 176 student Arm span height 13 177 173 14 176 15 178 16 184 180 17 188 18 187 19 182 20 181 21 192 22 194 193 23 196 186 24 200

SCATTERPLOT How do you identify someone with a below average height? How do you identify someone with an above average arm span? 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

What is 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 How “IDEAL” are you???? Plot your measurements on the scatter plot http://www.learner.org/courses/learningmath/data/session7/part_a/further.html#a5

Spread Correlation Box-and-whiskers? Scatterplots? What are the strengths or purposes of each of the displays we looked at today? Box-and-whiskers? Scatterplots? Spread Correlation

LEONARDO da VINCI

Golden Ratio Vitruvian Man

You have five minutes to complete the post – assessment. Do your best! POST-TEST: You have five minutes to complete the post – assessment. Do your best!

THANK YOU!