LESSON PLAN TEMPLATE for Arts Integrated Lessons

Grade Level:

7 Title: Fibonacci Art

Author: Anand Patel and Sofia Villanueva

Enduring Understanding:

Students will learn about the Fibonacci numbers and how they occur in nature and in art. They will see how the numbers come about and then create a piece of art that expresses the concept of Fibonacci numbers.

Overview: Students will learn about Fibonacci numbers and how they occur in nature and in art. They will see many examples of Fibonacci numbers in nature, particularly with flower petals. They will then see Pascal’s triangle and how it relates to Fibonacci numbers. Finally they will create a Fibonacci art pennant; these will then be cut out and attached to string for display.

Objectives: SWBAT: SWBAT:

● Recognize the Fibonacci numbers sequence

● Calculate the next number in a Fibonacci sequence, given the two previous numbers

● Give examples of Fibonacci numbers that occur in nature

● Give one fact about Fibonacci’s life

● Apply visual organization strategies to design and produce a work of art

● Use reference material to gain creative inspiration

S Villanueva Pre During After Lesson v3 1

Content Standard(s): Ratios and Proportional Relationships 7.RP

Analyze proportional relationships and use them to solve real-world and mathematical problems.

1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units.

2. Recognize and represent proportional relationships between quantities.

Art Standard(s): VA:Cr1.1.7a Apply methods to overcome creative blocks

VA:Cr2.37a Apply visual organization strategies to design and produce a work of art, design, or media that clearly communicates information ideas

VA:Cr3.1.7a Reflect on and explain important information about personal artwork in an artist statement or another format

S Villanueva Pre During After Lesson v3 2

1.

Materials: ● Colored Pencils

(ROYGBIV) ● Markers ● Crayons ● Pencils

Other Resources: ● Pascal’s Triangle worksheet ● Fibonacci pennant art sheet

S Villanueva Pre During After Lesson v3 3

● string to hang pennants ● scissors ● glue or stapler to attach

pennant to string

Vocabulary: Fibonacci

Sequence

Spiral

Pascal

addition rule

prediction

THE NATIONAL ARTS STANDARDS

Create: A Fibonacci art pennant

Present: The students share their artwork and their different worksheet answers

Respond: After the volunteer explains their artwork, their other classmates need to assess their work

Connect: Ask the students how the art they created reflects the concepts of the Fibonacci numbers and sequence

Assessment Strategies

FORMATIVE: Using the visual thinking strategy, the students will share what they know about the concept of Fibonacci numbers and will in turn inform the instructor of their background and prior knowledge with this topic. Students may be asked the following questions:

What do you see in the image? (Image is one of several flowers whose petal count reflects the Fibonacci numbers)

What patterns do you see?

Why do you think the numbers are next to the flower pictures?

Have you ever counted the petals of a flower?

Do all flowers have the same number of petals?

S Villanueva Pre During After Lesson v3 4

SUMMATIVE: Students will work as a class to complete a Pascals Triangle and will learn about the Fibonacci pattern that emerges.

They will then create a Fibonacci pennant using the their own shapes and colors.

Did you include flowers in your drawing?

How did you show Fibonacci numbers in your drawing?

Are there any numbers in your drawing?

What do you like best about your drawing? Explain.

Instructional Activities & Strategies

ENGAGE:

Show the students the artworks and ask them how it can relate to math. Ask if they see a pattern in the image or with the numbers.

(5 min)

BUILD: Students will work as a class to fill in a Pascal triangle and we will discuss the pattern and the rule for writing in the numbers in the rows.

(5 min)

APPLY: Students will work as a independently to complete the last two rows of the Pascal’s triangle. We will then go over this as a class and make sure the boxes have the right numbers. Next they will create their own Fibonacci art pennant. (20 min)

S Villanueva Pre During After Lesson v3 5

REFLECT: After the students are done with their drawings we will ask for volunteers to come and show what they have done. Classmates may be asked to verify the volunteers’ work (Ex. Does their drawing reflect Fibonacci numbers or a Fibonacci design?) (10 min)

What STUDIO HABITS of MIND will students use in meeting the content standard in the lesson?

What STUDIO HABITS of MIND will students use in meeting the art standard in the lesson?

Envision Students will attempt to determine the reasoning behind an artist’s use of Fibonacci numbers in art.

Reflect Students will reflect on an artist’s work determining aspects they like and dislike

Express Students will share work with the class while also connecting their work with aspects of their own lives

Visual Thinking Strategy:

1. What thought provoking art image did you select (which relates to your lesson topic)?

See examples of artwork

1. What are your questions (for leading the discussion)? -Literal level questions (“What do you see?”): What do you see? What concrete things can you see?

S Villanueva Pre During After Lesson v3 6

-Inferential level questions (“Why do you think?”): Why do you think artists would create art this way? Do you like the art? What story do you think the artist is trying to tell? -Generalization-moral-relating level questions (“How does this relate to…?” “What is the moral to this story?”). Have you had any experiences where looking at something differently helped you solve it? Ask also about the viewpoint and the message the artist is trying to convey. Think about and connect your students’ prior knowledge and experiences to the artwork they are viewing.

1. What will you share with the students about the image and artist?

We will discuss how the Fibonacci numbers appear in many different parts of nature and how many human-made things are designed and based on the Fibonacci sequence and the Golden Rectangles.

S Villanueva Pre During After Lesson v3 7

Artwork

S Villanueva Pre During After Lesson v3 8

S Villanueva Pre During After Lesson v3 9

S Villanueva Pre During After Lesson v3 10

S Villanueva Pre During After Lesson v3 11

S Villanueva Pre During After Lesson v3 12