L E S S O N     P L A N

 

SUBJECT:  Math

 

GRADE LEVEL:  8th Grade (± 1 Grade)

 

DURATION OF LESSON: Two 40 minute periods

 

LESSON TITLE: Vitruvian Man

 

NJ CORE CURRICULUM CONTENT STANDARDS: 4.3.8A1

4.3 Patterns and Algebra

A. Patterns

1. Recognize, describe, extend, and create patterns involving whole numbers, rational numbers, and integers.

 

FOCUS DISCUSSION:

•  Vitruvius, a Roman engineer of the first century B.C., influenced Leonardo de Vinci’s work in architecture and also his drawing of the human figure. Vitruvius established the ideal proportions of the human body. Leonardo da Vinci based a model on the proportions Vitruvius established.

•  The drawing shows a square inscribed inside a circle. There is a man with outstretched arms and legs, in fact two pairs of each, which touch both the circumference of the circle and the vertices of the square. Upon viewing the drawing the conclusion can be made that the length of a man’s arm span is equal to the height of the man. In other words the ratio of the Vitruvian Man’s arm span to his height equals 1.

•  How can we trust the drawing?

 

OBJECTIVES: After completion of the lesson SWBAT relate ratios to squares; investigate if the ratio between a person’s arm span and height are 1; plot a graph from a table checking the students’ ratios.

 

PRE-REQUISITE KNOWLEDGE: know what a ratio is

 

MATERIALS:

•  String

•  Yard sticks/measuring tapes

•  Graph paper

•  Da Vinci’s drawing of Vitruvian Man

 

DESCRIPTION OF LESSON:

Teacher Will:

• Lead the students through a discussion about the influence Vitruvius had on Leonardo da Vinci.

• Have the students focus on where the Vitruvian man touches the square and challenge them to draw conclusions using their knowledge of the characteristics of a square.

•  Lead the students through the measuring procedures

•  Process the data by recording on the overhead, chalkboard or poster paper. One column list the height, one the arm span, and one for the ratio.

Students Will:

•  participate in a discussion about the life and times of Leonardo da Vinci

•  study the drawing of the Vitruvian Man

•  make predictions on how accurate the drawing is

•  gather data to check the drawing’s accuracy

•  process the data in a bar graph

• discuss the class’s findings

 

ASSESSMENT:

• Student participation

• Students’ gathered data

• Students’ graphs expressing the gathered data

 

SELF REFLECTION OF LESSON:

• Is Leonardo da Vinci’s drawing correct?

• Do I have “the ideal” proportions as drawn by Leonardo da Vinci?