# Relationship between hand span and height

### Illustrative Mathematics

the height of a person tell us something about that person's right hand span? a) Describe the general association between the explanatory variable, x and. Author: dubaiairporthotel.info,Abhilasha Dadhich The Height Is An Important Aspect Of Human Personality. To Determine The Height, From A Body Part Can Be. Quick word document I put together for my 14 year old general maths class. Students complete scatterplot for group of 5 or so, discuss results.

Now stretch your arms out as far as they can reach. Your arms will be parallel to the ground. Hold one end of the piece of yarn you just cut off with the fingertips of your left hand. Let your helper span the yarn toward the tip of your right hand's middle finger.

Is piece long enough, way longer or way too short? What does this tell you about how your arm span compares to your height?

### How well can hand size predict height?

For most people, their arm span is about equal to their height. Mathematicians say the arm span to height ratio is one to one: The femur bone is the only bone in your thigh.

To measure its length, sit down and span a new piece of yarn over your thigh from the hip joint to the edge of your knee and cut the yarn there. How many times would this piece of yarn go into the piece that is as long as you are tall? Can you find a way to test your estimate? There are several ways to compare the length of the two pieces of yarn: You might cut several pieces of the length of your shorter string, lay them end to end next to your longer piece, and count how many you need.

Another way is to fold the longer string into equal parts so the length of the folded string equals the length of the shorter string. The number of folds needed is exactly the number of times your shorter string goes into your longer string. Did you see that the length of your femur bone goes about four times into your height? You can also say that if you divide your height in four equal pieces, you have the length of your femur bone, or the length of your femur bone is one fourth of your height.

Mathematicians call this a one to four ratio.

How many times would the length of your head fit into your height? Maybe four, six or eight times?

To test six times, fold the yarn with length equaling your height into six equal pieces. Have your helper place a book flat on your head and hang the folded string from the side of the book. If the other end of the string is about level with your chin, your height would be about six times the length of your head, or your head to body ratio would be one to six.

Which number of folds fits best for you? There are many more bodily ratios you can explore: You have explored some ratios in your body and might wonder if these hold for other people as well.

Do you think they hold for most people of your age? What about adults or babies? This material is replicated on a number of sites as part of the SERC Pedagogic Service Project Summary This activity uses student's own data to introduce bivariate relationship using hand size to predict height. Students enter their data through a real-time online database. Data from different classes are stored and accumulated in the database.

## Graphing Hand Span and Height

This real-time database approach speeds up the data gathering process and shifts the data entry and cleansing from instructor to engaging students in the process of data production. Learning Goals This activity is designed to help students learn the issues related to data measurement and production, to learn the relationship of two variables.

By the end of this activity, students will be able to explain the importance of data measurement and production in a given context, compare different measurements and distinguish which one has smaller variation when measured repeatedly, apply graphical and numerical techniques to describe and interpret the relationship between two variables in a given context, explain the least square method in a given context, distinguish between causation and association, determine if a linear model is appropriate or not using graphical residual analysis tools, identify outlying cases and determine the effect of the outlying cases.

Context for Use This activity is appropriate for introducing bivariate relationship at introductory level with high school algebra as prerequisite. This activity can be conducted as a group project, an individual project or a home work project.

The activity is easy to conduct. The actual time for guiding students collect, enter and download the data is usually less than 10 minutes for the entire class. Description and Teaching Materials The detailed description and materials of this activity are located at the site: Real-Time Hands-on Activities The following materials are used to introduce the bivariate relationship.

### Graphing Hand Span and Height |

The power point slides: You may already have your own lecture notes. Feel free to take any part of the slides. Hand size data 20 cases: Excel 6kB May15 07 This data set is part of the hand-size data randomly selected from the activity database. This is used throughout the power point sildes as the class demonstration to introduce the bivariate relationship.

Activity Worksheet - Hand Size: Microsoft Word 37kB May17 07 This is a set of questions that guides students to investigate how well hand size can predict height. This is usually used as a group activity. It is suggested starting the group activity during the class period or lab sessionscompleting the activity after class and turning the worksheet the next class period.

- Human Body Ratios
- How well can hand size predict height?
- Hand span and height

The hand size data 50 cases: Excel 11kB May15 07 This data is a subset of the hand size data. The questions in the Hand-Size worksheet are based on the analysis of this data set.

Activity Worksheet - online applet: Microsoft Word 26kB May15 07 This worksheet is for students to learn the effects of outliers and influential cases. It may be assigned as a group activity or as an individual homework activity. Questions for assessing learning outcomes Microsoft Word 99kB May3 Teaching Notes and Tips Features about the Real-Time online data collection the instructor should be aware of: This activity requires students to collect data and enter their own data to an online database.

Here is the instruction sheet for instructor: Instruction for instructor to facilitate the data collection.

**Wingspan-to-Height Ratio**

Microsoft Word 28kB May17 07 The equipment for conducting this activity are a one-foot actual or paper-copy ruler and b Computer station with Internet connection.

The best classroom setting is a computer classroom with Internet connection.