MOVEMENT BY CHANCE: EXPLORING DANCE AND DATA PATTERNS 4-5

EXPLORING DANCE AND DATA PATTERNS

MOVEMENT BY CHANCE: EXPLORING DANCE AND DATA

Learning Description

Students will explore the concept of chance dance, inspired by Merce Cunningham, while simultaneously developing data interpretation skills. Students will begin by learning about Cunningham’s innovative approach, where movements are determined randomly using dice, coins, or digital tools. Working in small groups, they will create short dance sequences by assigning movements to numbers and rolling dice to determine how many times each movement will be performed. After performing their sequences, students will record data on movement frequency, patterns, and transitions. They will then analyze this data using charts or graphs, discussing trends and drawing conclusions about how randomness influences artistic composition. This lesson merges creative expression with mathematical thinking, encouraging students to see patterns in both dance and data.

 

Learning Targets

GRADE BAND: 4-5
CONTENT FOCUS: DANCE & MATH
LESSON DOWNLOADS:

Download PDF of this Lesson

"I Can" Statements

“I Can…”

  • I can create a chance dance sequence using randomization.
  • I can analyze movement patterns by collecting and interpreting data.

Essential Questions

  • How can we use data interpretation to analyze and understand patterns created through chance dance?

 

Georgia Standards

Curriculum Standards

Grade 4:

4.PAR.3.2 Use input-output rules, tables, and charts to represent and describe patterns, find relationships, and solve problems.

 

Grade 5:

5.MP Display perseverance and patience in problem-solving. Demonstrate skills and strategies needed to succeed in mathematics, including critical thinking, reasoning, and effective collaboration and expression. Seek help and apply feedback. Set and monitor goals.

Arts Standards

ESD.CR.1 Demonstrate an understanding of the choreographic process.

ESD.CR.2 Demonstrate an understanding of dance as a form of communication.

ESD.RE.1 Demonstrate critical and creative thinking in dance

ESD.CN.1 Identify connections between dance and other areas of knowledge.

 

South Carolina Standards

Curriculum Standards

Grade 4:

4.MDA.4 Create a line plot to display a data set (i.e., generated by measuring length to the nearest quarter-inch and eighth-inch) and interpret the line plot.

 

Grade 5:

5.MDA.2 Create a line plot consisting of unit fractions and use operations on fractions to solve problems related to the line plot.

Arts Standards

Anchor Standard 1: I can use movement exploration to discover and create artistic ideas and works.

Anchor Standard 2: I can choreograph a dance.

Anchor Standard 3: I can perform movements using the dance elements.

Anchor Standard 5: I can describe, analyze, and evaluate a dance.

 

Key Vocabulary

Content Vocabulary

  • Data - Facts and statistics collected together for reference or analysis
  • Analyze - Examine methodically and in detail the constitution or structure of something, especially information, typically for purposes of explanation and interpretation
  • Interpret - Explain the meaning of information, words, or actions
  • Charts - A sheet of information in the form of a table, graph, or diagram
  • Graphs - A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles
  • Fraction - A numerical quantity that is not a whole number

Arts Vocabulary

  • Merce Cunningham - American modern dancer and choreographer who developed new forms of abstract dance movement
  • Chance Dance - Chance dance is a choreography technique that uses chance to determine the order of a sequence of movements. It can also refer to a movement activity where participants create a dance using a random method like rolling dice.
  • Choreography - The art of designing and arranging sequences of movements, steps, and gestures to create a dance piece
  • Choreographer - The person who designs or creates a dance piece
  • Form - How a dance/choreography is structured (put together)
  • Level - One of the aspects of movement (there are three basic levels in dance: high, middle, and low)

 

Materials

 

 

Instructional Design

Opening/Activating Strategy

  • Create a short dance with students using a movement list to select from.
    • Example movement list:
      • Jump
      • Hop
      • Clap
      • Turn
      • Slide
      • Change levels
      • Change directions
    • Explain to the students that a piece of choreography is a collection of data.
    • Using the data/choreography, create a chart/graph to represent all the steps in the dance.
    • Explore various types of charts/graphs that can be used to display the data/choreography.

Work Session

  • Watch video/discuss who Merce Cunningham is and how he used the concept of chance to create dances.
  • Discuss how this concept applies to dancers and choreographers.
  • Break class into groups.
  • Give each group and set of movement cards (each group's cards should be the same) and one die.
  • Tell the students to randomly select a card then roll the die to indicate the number of times that movement will be done.
  • Continue until they have used all the cards.
  • Have the students create a graph/chart (ex. tally chart. bar graph, line plot) to represent all the data in their choreography.
  • Share each group's choreography with the whole class.

 

Closing Reflection

  • Facilitate a discussion around the following questions:
    • How was each group's dance different even though each group had the same data to start with?
    • How did chance impact the outcome?

 

Assessments

Formative

  • The teacher will assess student learning throughout the lesson by observing students’ ability to use various movements in dance and their ability to use chance to create a unique piece of choreography.

Summative

  • Students’ data chart they create about their choreography
  • Create a list of questions to ask about the students about the choreography/data–Example questions:
    • How many total movements were in your dance?
    • Which movement did you do the most/least in your dance?
    • Compare all data charts
    • Which group's dance had the most jumps?
    • Which group had the most dance moves in their dance?

 

 

Differentiation

Accelerated: 

  • Have the students collect the data from all groups’ choreography and create various types of charts/graphs representing all the data or comparing the data of different groups.

 

Remedial:

  • Give the students a chart/graph that is already created and have them create choreography from the data.

 

Credits

Ideas contributed by: Melissa Dittmar-Joy

*This integrated lesson provides differentiated ideas and activities for educators that are aligned to a sampling of standards. Standards referenced at the time of publishing may differ based on each state’s adoption of new standards.

Revised and copyright:  May 2025 @ ArtsNOW

 

MOVEMENT BY CHANCE: EXPLORING DANCE AND DATA PATTERNS 2-3

EXPLORING DANCE AND DATA PATTERNS

MOVEMENT BY CHANCE: EXPLORING DANCE AND DATA

Learning Description

Students will explore the concept of chance dance, inspired by Merce Cunningham, while simultaneously developing data interpretation skills. Students will begin by learning about Cunningham’s innovative approach, where movements are determined randomly using dice, coins, or digital tools. Working in small groups, they will create short dance sequences by assigning movements to numbers and rolling dice to determine how many times each movement will be performed. After performing their sequences, students will record data on movement frequency, patterns, and transitions. They will then analyze this data using charts or graphs, discussing trends and drawing conclusions about how randomness influences artistic composition. This lesson merges creative expression with mathematical thinking, encouraging students to see patterns in both dance and data.

 

Learning Targets

GRADE BAND: 2-3
CONTENT FOCUS: DANCE & MATH
LESSON DOWNLOADS:

Download PDF of this Lesson

"I Can" Statements

“I Can…”

  • I can create a chance dance sequence using randomization.
  • I can analyze movement patterns by collecting and interpreting data.
  • II can represent choreography in terms of a fraction.

Essential Questions

  • How can we use data interpretation to analyze and understand patterns created through chance dance?

 

Georgia Standards

Curriculum Standards

Grade 2:

2.MDR.5.4 Ask questions and answer them based on gathered information, observations, and appropriate graphical displays to solve  problems relevant to everyday life.

 

Grade 3:

3.NR.4.1 Describe a unit fraction and explain how multiple copies of a unit fraction form a non-unit fraction. Use parts of a whole, parts of a set, points on a number line, distances on a number line and area models.

Arts Standards

ESD.CR.1 Demonstrate an understanding of the choreographic process.

ESD.CR.2 Demonstrate an understanding of dance as a form of communication.

ESD.RE.1 Demonstrate critical and creative thinking in dance

ESD.CN.1 Identify connections between dance and other areas of knowledge.

 

South Carolina Standards

Curriculum Standards

Grade 2:

2.MDA.9 Collect, organize, and represent data with up to four categories using picture graphs and bar graphs with a single-unit scale.

2.MDA.10 Draw conclusions from t-charts, object graphs, picture graphs, and bar graphs.

 

Grade 3:

3.MDA.3 Collect, organize, classify, and interpret data with multiple categories and draw a scaled picture graph and a scaled bar graph to represent the data.

Arts Standards

Anchor Standard 1: I can use movement exploration to discover and create artistic ideas and works.

Anchor Standard 2: I can choreograph a dance.

Anchor Standard 3: I can perform movements using the dance elements.

Anchor Standard 5: I can describe, analyze, and evaluate a dance.

 

Key Vocabulary

Content Vocabulary

  • Data - Facts and statistics collected together for reference or analysis
  • Analyze - Examine methodically and in detail the constitution or structure of something, especially information, typically for purposes of explanation and interpretation
  • Interpret - Explain the meaning of information, words, or actions
  • Charts - A sheet of information in the form of a table, graph, or diagram
  • Graphs - A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles
  • Fraction - A numerical quantity that is not a whole number

Arts Vocabulary

  • Merce Cunningham - American modern dancer and choreographer who developed new forms of abstract dance movement
  • Chance Dance - Chance dance is a choreography technique that uses chance to determine the order of a sequence of movements. It can also refer to a movement activity where participants create a dance using a random method like rolling dice.
  • Choreography - The art of designing and arranging sequences of movements, steps, and gestures to create a dance piece
  • Choreographer - The person who designs or creates a dance piece
  • Form - How a dance/choreography is structured (put together)
  • Level - One of the aspects of movement (there are three basic levels in dance: high, middle, and low)

 

Materials

 

 

Instructional Design

Opening/Activating Strategy

  • Create a short dance with students using a movement list to select from.
    • Example movement list:
      • Jump
      • Hop
      • Clap
      • Turn
      • Slide
      • Change levels
      • Change directions
    • Explain to the students that a piece of choreography is a collection of data.
    • Using the data/choreography, create a chart/graph to represent all the steps in the dance.
    • Explore various types of charts/graphs that can be used to display the data/choreography.
    • Next, demonstrate how to represent the choreography in terms of a fraction ((i.e. if there were three jumps and a total of nine movements, the fraction would be 3/9 or ⅓).

Work Session

  • Watch video/discuss who Merce Cunningham is and how he used the concept of chance to create dances.
  • Discuss how this concept applies to dancers and choreographers.
  • Break class into groups.
  • Give each group and set of movement cards (each group's cards should be the same) and one die.
  • Tell the students to randomly select a card then roll the die to indicate the number of times that movement will be done.
  • Continue until they have used all the cards.
  • Have the students create a graph/chart (ex. tally chart. bar graph, line plot) to represent all the data in their choreography.
  • Next, have students represent their choreography in terms of fractions.
  • Share each group's choreography with the whole class.

 

Closing Reflection

  • Facilitate a discussion around the following questions:
    • How was each group's dance different even though each group had the same data to start with?
    • How did chance impact the outcome?

 

Assessments

Formative

  • The teacher will assess student learning throughout the lesson by observing students’ ability to use various movements in dance and their ability to use chance to create a unique piece of choreography.
  • The teacher will assess students’ understanding of graphs and fractions through student observation.

Summative

  • Students’ data chart they create about their choreography
  • Create a list of questions to ask about the students about the choreography/data–Example questions:
    • How many total movements were in your dance?
    • Which movement did you do the most/least in your dance?
    • Compare all data charts
    • Which group's dance had the most jumps?
    • Which group had the most dance moves in their dance?

 

 

Differentiation

Accelerated: 

  • Have the students collect the data from all groups’ choreography and create various types of charts/graphs representing all the data or comparing the data of different groups.

 

Remedial:

  • Give the students a chart/graph that is already created and have them create choreography from the data.

 

Credits

Ideas contributed by: Melissa Dittmar-Joy

*This integrated lesson provides differentiated ideas and activities for educators that are aligned to a sampling of standards. Standards referenced at the time of publishing may differ based on each state’s adoption of new standards.

Revised and copyright:  May 2025 @ ArtsNOW

 

MOVEMENT BY CHANCE: EXPLORING DANCE AND DATA PATTERNS K-1

EXPLORING DANCE AND DATA PATTERNS

MOVEMENT BY CHANCE: EXPLORING DANCE AND DATA

Learning Description

Students will explore the concept of chance dance, inspired by Merce Cunningham, while simultaneously developing data interpretation skills. Students will begin by learning about Cunningham’s innovative approach, where movements are determined randomly using dice, coins, or digital tools. Working in small groups, they will create short dance sequences by assigning movements to numbers and rolling dice to determine how many times each movement will be performed. After performing their sequences, students will record data on movement frequency, patterns, and transitions. They will then analyze this data using charts or graphs, discussing trends and drawing conclusions about how randomness influences artistic composition. This lesson merges creative expression with mathematical thinking, encouraging students to see patterns in both dance and data.

 

Learning Targets

GRADE BAND: K-1
CONTENT FOCUS: DANCE & MATH
LESSON DOWNLOADS:

Download PDF of this Lesson

"I Can" Statements

“I Can…”

  • I can create a chance dance sequence using randomization.
  • I can analyze movement patterns by collecting and interpreting data.

Essential Questions

  • How can we use data interpretation to analyze and understand patterns created through chance dance?

 

Georgia Standards

Curriculum Standards

Grade 1:

1.MDR.6.4 Ask questions and answer them based on gathered information, observations, and appropriate graphical displays to compare and order whole numbers.

Arts Standards

ESD.CR.1 Demonstrate an understanding of the choreographic process.

ESD.CR.2 Demonstrate an understanding of dance as a form of communication.

ESD.RE.1 Demonstrate critical and creative thinking in dance

ESD.CN.1 Identify connections between dance and other areas of knowledge.

 

South Carolina Standards

Curriculum Standards

Kindergarten:

K.MDA.3 Sort and classify data into 2 or 3 categories with data not to exceed 20 items in each category.

K.MDA.4 Represent data using object and picture graphs and draw conclusions from the graphs.

 

Grade 1:

1.MDA.4 Collect, organize, and represent data with up to 3 categories using object graphs, picture graphs, t-charts and tallies.

1.MDA.5 Draw conclusions from given object graphs, picture graphs, t-charts, tallies, and bar graphs.

Arts Standards

Anchor Standard 1: I can use movement exploration to discover and create artistic ideas and works.

Anchor Standard 2: I can choreograph a dance.

Anchor Standard 3: I can perform movements using the dance elements.

Anchor Standard 5: I can describe, analyze, and evaluate a dance.

 

Key Vocabulary

Content Vocabulary

  • Data - Facts and statistics collected together for reference or analysis
  • Analyze - Examine methodically and in detail the constitution or structure of something, especially information, typically for purposes of explanation and interpretation
  • Interpret - Explain the meaning of information, words, or actions
  • Charts - A sheet of information in the form of a table, graph, or diagram
  • Graphs - A diagram showing the relationship between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles

Arts Vocabulary

  • Merce Cunningham - American modern dancer and choreographer who developed new forms of abstract dance movement
  • Chance Dance - Chance dance is a choreography technique that uses chance to determine the order of a sequence of movements. It can also refer to a movement activity where participants create a dance using a random method like rolling dice.
  • Choreography - The art of designing and arranging sequences of movements, steps, and gestures to create a dance piece
  • Choreographer - The person who designs or creates a dance piece
  • Form - How a dance/choreography is structured (put together)
  • Level - One of the aspects of movement (there are three basic levels in dance: high, middle, and low)

 

Materials

 

 

Instructional Design

Opening/Activating Strategy

  • Create a short dance with students using a movement list to select from.
    • Example movement list:
      • Jump
      • Hop
      • Clap
      • Turn
      • Slide
      • Change levels
      • Change directions
    • Explain to the students that a piece of choreography is a collection of data.
    • Using the data/choreography, create a chart/graph to represent all the steps in the dance such as object graphs, picture graphs, t-charts, tallies, and bar graphs.

Work Session

  • Watch video/discuss who Merce Cunningham is and how he used the concept of chance to create dances.
  • Discuss how this concept applies to dancers and choreographers.
  • Break class into groups.
  • Give each group and set of movement cards (each group's cards should be the same) and one die.
  • Tell the students to randomly select a card then roll the die to indicate the number of times that movement will be done.
  • Continue until they have used all the cards.
  • Have the students create a graph/chart (ex. object graphs, picture graphs, t-charts, tallies, and bar graphs) to represent all the data in their choreography.
  • Share each group's choreography with the whole class.

 

Closing Reflection

  • Facilitate a discussion around the following questions:
    • How was each group's dance different even though each group had the same data to start with?
    • How did chance impact the outcome?

 

Assessments

Formative

  • The teacher will assess student learning throughout the lesson by observing students’ ability to use various movements in dance and their ability to use chance to create a unique piece of choreography.

Summative

  • Students’ data chart they create about their choreography
  • Create a list of questions to ask about the students about the choreography/data–Example questions:
    • How many total movements were in your dance?
    • Which movement did you do the most/least in your dance?
    • Compare all data charts
    • Which group's dance had the most jumps?
    • Which group had the most dance moves in their dance?

 

 

Differentiation

Accelerated: 

  • Have the students collect the data from all groups’ choreography and create various types of charts/graphs representing all the data or comparing the data of different groups.

 

Remedial:

  • Give the students a chart/graph that is already created and have them create choreography from the data.

 

Credits

Ideas contributed by: Melissa Dittmar-Joy

*This integrated lesson provides differentiated ideas and activities for educators that are aligned to a sampling of standards. Standards referenced at the time of publishing may differ based on each state’s adoption of new standards.

Revised and copyright:  May 2025 @ ArtsNOW

 

MOVEMENT BY CHANCE: EXPLORING DANCE AND DATA PATTERNS 6-8

EXPLORING DANCE AND DATA PATTERNS

MOVEMENT BY CHANCE: EXPLORING DANCE AND DATA

Learning Description

Students will explore the concept of chance dance, inspired by Merce Cunningham, while simultaneously developing data interpretation skills. Students will begin by learning about Cunningham’s innovative approach, where movements are determined randomly using dice, coins, or digital tools. Working in small groups, they will create short dance sequences by assigning movements to numbers and rolling dice to determine the movements in their choreography. After performing their sequences, students will record data on movement frequency, patterns, and transitions. They will then analyze this data using charts or graphs, discussing trends and drawing conclusions about how randomness influences artistic composition. This lesson merges creative expression with mathematical thinking, encouraging students to see patterns in both dance and data.

 

Learning Targets

GRADE BAND: 6-8
CONTENT FOCUS: DANCE & MATH
LESSON DOWNLOADS:

Download PDF of this Lesson

"I Can" Statements

“I Can…”

  • I can create a chance dance sequence using randomization.
  • I can analyze movement patterns by collecting and interpreting data.

Essential Questions

  • How can we use data interpretation to analyze and understand patterns created through chance dance?

 

Georgia Standards

Curriculum Standards

Grade 6:

6.NR.2.2 Summarize categorical and quantitative (numerical) data sets in relation to the context: display the distributions of quantitative (numerical) data in plots on a number line, including dot plots, histograms, and box plots and display the distribution of categorical data using bar graphs.

6.NR.2.3 Interpret numerical data to answer a statistical investigative question created. Describe the distribution of a quantitative (numerical) variable collected, including its center, variability, and overall shape.

6.NR.2.4 Design simple experiments and collect data. Use data gathered from realistic scenarios and simulations to determine quantitative measures of center (median and/or mean) and variability (interquartile range and range). Use these quantities to draw conclusions about the data, compare different numerical data sets, and make predictions.

 

Grade 7:

7.PR.6 Using mathematical reasoning, investigate chance processes and develop, evaluate, and use probability models to find probabilities of simple events presented in authentic situations.

7.PAR.4 Recognize proportional relationships in relevant, mathematical problems; represent, solve, and explain these relationships with tables, graphs, and equations.

 

Grade 8:

8.PAR.3 Create and interpret expressions within relevant situations. Create, interpret, and solve linear equations and linear inequalities in one variable to model and explain real phenomena.

Arts Standards

MSD.CR.1 Demonstrate an understanding of the choreographic process.

MSD.CR.2 Demonstrate an understanding of dance as a form of communication.

MSD.RE.1 Demonstrate critical and creative thinking in dance.

MSD.CN.3 Demonstrate an understanding of dance as it relates to other areas of knowledge.

 

South Carolina Standards

Curriculum Standards

Grade 6: 6.DS.4 Select and create an appropriate display for numerical data, including dot plots, histograms, and box plots.

Grade 7:

7.DSP.5 Investigate the concept of probability of chance events.

a. Determine probabilities of simple events.

b.Understand that probability measures likelihood of a chance event occurring.

c. Understand that the probability of a chance event is a number between 0 and 1.

d. Understand that a probability closer to 1 indicates a likely chance event.

e. Understand that a probability close to 1 2 indicates that a chance event is neither likely nor unlikely.

f. Understand that a probability closer to 0 indicates an unlikely chance event.

 

Grade 8:

8.DSP.2 Draw an approximate line of best fit on a scatter plot that appears to have a linear association and informally assess the fit of the line to the data points.

Arts Standards

Anchor Standard 1: I can use movement exploration to discover and create artistic ideas and works.

Anchor Standard 2: I can choreograph a dance.

Anchor Standard 3: I can perform movements using the dance elements.

Anchor Standard 5: I can describe, analyze, and evaluate a dance.

 

Key Vocabulary

Content Vocabulary

  • Data - Facts and statistics collected together for reference or analysis
  • Analyze - Examine methodically and in detail the constitution or structure of something, especially information, typically for purposes of explanation and interpretation
  • Interpret - Explain the meaning of information, words, or actions
  • Charts - A sheet of information in the form of a table, graph, or diagram
  • Graphs - A diagram showing the relationship between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles
  • Fraction - A numerical quantity that is not a whole number

Arts Vocabulary

  • Merce Cunningham - American modern dancer and choreographer who developed new forms of abstract dance movement
  • Chance Dance - Chance dance is a choreography technique that uses chance to determine the order of a sequence of movements. It can also refer to a movement activity where participants create a dance using a random method like rolling dice.
  • Choreography - The art of designing and arranging sequences of movements, steps, and gestures to create a dance piece
  • Choreographer - The person who designs or creates a dance piece
  • Form - How a dance/choreography is structured (put together)
  • Level - One of the aspects of movement (there are three basic levels in dance: high, middle, and low)

 

Materials

 

 

Instructional Design

Opening/Activating Strategy

  • Create a short dance with students using a movement list to select from.
    • Example movement list:
      • Jump
      • Hop
      • Clap
      • Turn
      • Slide
      • Change levels
      • Change directions
    • Explain to the students that a piece of choreography is a collection of data.
    • Using the data/choreography, create a chart/graph to represent all the steps in the dance.
    • Explore various types of charts/graphs that can be used to display the data/choreography.

Work Session

  • Watch the video, The Six Sides of Merce Cunningham. Discuss who Merce Cunningham is and how he used the concept of chance to create dances.
  • Discuss how this applies to dancers and choreographers.
  • Break class into groups.
  • Give each group a set of movement cards (each group's cards should be the same) and one die.
  • Choose one of the two methods:
    • 1) Tell the students to randomly select a card then roll the die to indicate the number of times that movement will be done.
      • Students should continue until they have used all the cards.
    • 2) Give students a set number of movements that they must include in their choreography. Have students assign a numerical value (one to six) to each movement. Have students roll their dice to determine what each movement in their choreography will be.
  • Have the students create a graph/chart (ex. histograms, dot plot, box plot) to represent all the data in their choreography.
  • Students will then create choreography for the data they have.
  • Each group will share their choreography with the whole class.

 

Closing Reflection

  • Facilitate a discussion around the following questions:
    • How was each group's dance different even though each group had the same data to start with?
    • How did chance impact the outcome?

 

Assessments

Formative

  • The teacher will assess student learning throughout the lesson by observing students’ ability to use various movements in dance and their ability to use chance to create a unique piece of choreography.

Summative

  • The teacher will assess student learning using the data charts students create about their choreography
  • Create a list of questions to ask about the students choreography/data–Examples:
    • How many total movements were in your dance?
    • What was the mean/median/mode of your data?
    • Compare all data charts.
      • What is the probability that all dances would contain a jump?
      • What is the mean/median/mode of all dances?

 

 

Differentiation

Accelerated: 

  • Have the students collect the data from all groups' choreography and create various types of charts/graphs representing all the data or comparing the data of different groups.

 

Remedial:

  • Limit the data set.
  • Give the students a chart/graph that is already created and have them create choreography from the data.

 

Credits

Ideas contributed by: Melissa Dittmar-Joy

*This integrated lesson provides differentiated ideas and activities for educators that are aligned to a sampling of standards. Standards referenced at the time of publishing may differ based on each state’s adoption of new standards.

Revised and copyright:  May 2025 @ ArtsNOW

 

POLYGON PERSPECTIVES – MATH MEETS CREATIVITY | BRINGING GEOMETRY TO LIFE THROUGH SCULPTURE 5

BRINGING GEOMETRY TO LIFE THROUGH SCULPTURE

POLYGON PERSPECTIVES–MATH MEETS CREATIVITY:BRINGING GEOMETRY TO LIFE THROUGH SCULPTURE

Learning Description

In this lesson, students will work collaboratively using the Engineering Design Process to create a sculpture inspired by the artist, Alexander Calder, that demonstrates their understanding of the properties and defining attributes of various polygons.

 

Learning Targets

GRADE BAND: 5
CONTENT FOCUS: VISUAL ARTS & MATH
LESSON DOWNLOADS:

Download PDF of this Lesson

"I Can" Statements

“I Can…”

  • I can create a sculpture inspired by the artist, Alexander Calder, that demonstrates my understanding of the properties and defining attributes of various polygons.
  • I can collaborate with others using the Engineering Design Process to create a sculpture.

Essential Questions

  • What are the properties and defining attributes of various polygons?
  • How can I demonstrate my understanding of the properties of polygons through sculpture?

 

Georgia Standards

Curriculum Standards

5.GSR.8.1 Classify, compare, and contrast polygons based on properties.

5.GSR.8.2 Determine, through exploration and investigation, that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.

Arts Standards

VA5.CR.1 Engage in the creative process to generate and visualize ideas by using subject matter and symbols to communicate meaning.

VA5.CR.2 Create works of art based on selected themes.

VA5.CR.4 Understand and apply media, techniques, processes, and concepts of three-dimensional works of art.

VA5.RE.1 Use a variety of approaches for art criticism and to critique personal works of art and the artwork of others to enhance visual literacy.

 

South Carolina Standards

Curriculum Standards

5.G.3 Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.

5.G.4 Classify two-dimensional figures in a hierarchy based on their attributes.

Arts Standards

Anchor Standard 1: I can use the elements and principles of art to create artwork.

Anchor Standard 2: I can use different materials, techniques, and processes to make art.

Anchor Standard 5: I can interpret and evaluate the meaning of an artwork.

 

Key Vocabulary

Content Vocabulary

  • Polygon - A plane figure enclosed by line segments called sides
  • Regular polygon – A polygon whose sides are all equal and whose interior angles are all congruent
  • Parallel lines - Lines in the same plane that never intersect, no matter how far they are extended
  • Perpendicular lines - Lines that intersect at a 90-degree angle, forming right angles where they meet
  • Triangle – A polygon with three sides and three angles
  • Equilateral triangle – A triangle with three equal sides and three congruent triangles
  • Isosceles triangle – A triangle with two equal sides and two congruent angles
  • Scalene triangle – A triangle with three different sides and three incongruent angles
  • Right triangle – A triangle in which one angle is a right angle
  • Acute triangle – A triangle with three acute (less than ninety degrees) angles
  • Obtuse triangle – A triangle with one obtuse (greater than ninety degrees) angle
  • Quadrilateral – A polygon with four sides
  • Trapezoid – A quadrilateral with only one set of parallel sides
  • Isosceles trapezoid – A trapezoid whose non-parallel sides are equal in length
  • Rectangle – A quadrilateral with four right angles
  • Square – A quadrilateral with four right angles and four equal sides
  • Parallelogram – A four-sided plane rectilinear figure with opposite sides parallel.
  • Rhombus - A parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides
  • Pentagon – A five-sided polygon
  • Hexagon – A six-sided polygon
  • Octagon – An eight-sided polygon

Arts Vocabulary

  • Sculpture - A three-dimensional work of art that can be made from a variety of materials, such as wood, clay, metal, or stone.
  • Stabile - Large-scale sculptures that are abstract; they are made of large two-dimensional shapes put together to make a three-dimensional form; created by the artist Alexander Calder
  • Mobile - Sculptures that are designed to move and change form through balance and interaction with air currents; created by the artist Alexander Calder
  • Shape - Refers to an interesting and interrelated arrangement of body parts of one dancer; the visual makeup or molding of the body parts of a singular dancer; the overall visible appearance of a group of dancers (they may be curved/angular, symmetrical/asymmetrical, positive/negative)
  • Warm colors - Yellow, orange, red (and shades of each)
  • Cool colors - Purple/violet, blue, green (and shades of each)
  • Complementary colors - Colors that are across from each other on the color wheel (such as orange and blue)
  • Analogous colors - Colors next to each other on the color wheel
  • Neutral colors - Brown, tan, white, black, gray, etc.

 

Materials

  • Image of Alexander Calder’s sculpture, “Small City”
  • 10x2 artful thinking routine
  • Digital image of the Engineering Design Process (in lesson)
  • Digital image of a color wheel
  • Styrofoam (such as styrofoam plates) or thin cardboard, like chipboard (or cereal boxes that have been deconstructed so that they are flat)
  • Scissors
  • Rulers/straightedge
  • Pencils
  • Paper
  • Optional–Oil pastels (for brown cardboard or styrofoam) OR markers/colored pencils/crayons/oil pastels for white cardboard
  • Optional–Newsprint or butcher paper to protect desks/tables

 

Instructional Design

Opening/Activating Strategy

  • Show students an image of Alexander Calder’s sculpture, “Small City”, 1964.
  • Ask students to engage in the 10x2 artful thinking routine.
    • Students should identify ten things that they see in the image.
    • Students should then look at the image again and find ten additional things that they see.
    • Students’ observations can be focused on lines, shapes, colors, angles, etc.
    • After students have identified twenty things that they see, have them discuss with a partner or small group to compare findings.
    • Allow time for groups to share one or two things that they noticed.
    • Direct the conversation towards the geometric aspects of Calder’s sculpture.
  • Tell students that Calder was known for two types of sculptures, Mobiles and Stabiles.
    • Stabiles are large-scale sculptures that are abstract; they are made of large two-dimensional shapes put together to make a three-dimensional form.
    • Mobiles are sculptures that are designed to move and change form through balance and interaction with air currents.
  • Tell students that “Small City” is an example of a combination of the two types of sculpture.

Ask students to reflect on how they think the artist made the sculpture and what they think he had to consider when designing it.

Work Session

  • Show students an image of the Engineering Design Process.

A circular diagram combining geometry and engineering shows the design process: Ask (define the problem), Imagine (brainstorm solutions), Plan (think, sketch, label), Create (prototype, test), Improve (modify to make it better).

  • Tell students that they will use the process in their lesson today.
  • Divide students into pairs or small groups of three.
  • Students should write down the question: How can I demonstrate the properties and defining attributes of polygons through a Stabile sculpture?
    • Ask students to brainstorm what other questions they need answers to.
      • Examples: What are the properties of polygons? How many types of polygons should I show? What materials can I use?
    • Imagine:
      • Show students a list of all materials available to them: Styrofoam (such as plates) or thin cardboard, like chipboard (or cereal boxes that have been deconstructed so that they are flat), scissors, rulers, pencils, and oil pastels.
      • Ask students to brainstorm how they could use these materials to answer the question.
    • Next, provide students with constraints and criteria for their sculpture. This will be determined by the teacher.
      • Ideas include:
        • Your sculpture must be free-standing.
        • Your sculpture must have three different types of polygons.
        • You must have at least five polygons in your sculpture.
        • You must show an example of parallel lines and an example of perpendicular lines.
        • You must use color in a meaningful way in your sculpture (i.e. All triangles are one color, all quadrilaterals are another color, etc. OR your sculpture follows a color scheme such as warm colors or cool colors).
        • Your sculpture must be at least ________ big but can be no smaller than ______.
      • Next, students should plan their sculptures by drawing a sketch and labeling their materials.

If needed, show students an example of Stabile Sculpture that demonstrates geometric concepts (see below).

Three colorful, triangular, pyramid-shaped paper models—one blue, one green, and one red—stand upright on a white surface with scattered paint marks, creating a playful scene that highlights the beauty of geometry.

  • If students are adding color, show them an image of a color wheel and discuss the different types of color schemes that are common in art: Warm, cool, complementary, analogous, and neutral.
    • Students should then label the colors they will use on their sketch.
  • Once students have planned, they should show their plans to another group for feedback. The group providing feedback should comment on whether the sculpture met the criteria and whether they have questions about the construction of the sculpture/its stability, etc.
  • Students can then begin to create their sculptures using the materials provided.
    • Students should use their rulers to draw their polygons on the cardboard or styrofoam prior to cutting them out.
    • Optional: Students can add color to their polygons. Remind students that because they are making a sculpture, they need to add color to both the front and the back of each polygon.
    • Students will need to problem-solve how to attach the individual polygons together so that it becomes a three-dimensional sculpture.
      • This can be done by cutting a notch in each polygon and sliding them together. However, allowing students to come to the solution through trial and error is beneficial.
  • Students should complete a written explanation of what polygons they showed and where they showed them. This can be done on a 3 x 5 card as a list or on a checklist.
  • After the sculptures are complete, have students display their planning sketch next to the completed sculpture. Students can do a gallery walk observing the different ways that students answered the original question.

Closing Reflection

  • Conclude the lesson by having students reflect on their process with the following questions. This can be done in STEAM journals or through small group or large group discussion.
    • If you could create your sculpture again, what would you do differently?
    • What challenges did you face when turning your plan for your sculpture into the actual sculpture? How did you overcome those challenges?
    • How did you use sculpture to demonstrate the properties and defining attributes of various polygons?

 

Assessments

Formative

  • Students’ ability to identify geometric concepts in “Small City”
  • Students’ brainstorming and planning phases for their sculptures

Summative

  • Students’ sculptures should demonstrate that students understand and can demonstrate the properties and defining attributes of polygons.
  • Students’ sculptures should demonstrate that they understand that Stabiles are created by combining two-dimensional geometric shapes together to create a three-dimensional form.
  • If color is used, sculptures should demonstrate that students meaningfully used color in their artwork.

 

Differentiation 

Acceleration: 

Instead of providing criteria to students, have them establish their own criteria based on the design challenge and the standard.

Remediation:

  • Reduce the number of things students should identify in the 10 x 2 routine from twenty to ten.
  • Reduce the sculpture criteria for students.
  • Provide a checklist so that students can ensure that they are meeting the criteria.
  • Post the steps for students to complete.

 

Credits

U.S. Department of Education- STEM + the Art of Integrated Learning

Ideas contributed by: Katy Betts

*This integrated lesson provides differentiated ideas and activities for educators that are aligned to a sampling of standards. Standards referenced at the time of publishing may differ based on each state’s adoption of new standards.

Revised and copyright:  June 2025 @ ArtsNOW