1. “CLOSE TO IDEAL”
Ms. G & Ms. Safer

2. 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!

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

4. Vitruvian Man

5. 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

6. 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.

7. MATERIALS 1 tape measure 1 calculator
For you and your partner:
1 tape measure
1 calculator
2 data table/box-and- whisker worksheets

8. 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

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

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

11. 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

12. 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

13. Box-and-Whiskers Plot

14. What do BOX-and-WHISKERS plots show???
SPREAD!
(degree of dispersion)

15. 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

16. 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 = cm
Mean height = cm

17. 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

18. 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

19. Plot your measurements on the scatter plot
How “IDEAL” are you????
Plot your measurements on the scatter plot

20. 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

21. LEONARDO da VINCI

22. Golden Ratio
Vitruvian Man

23. 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!

24. THANK YOU!