Performing Perimeter 2-3

PERFORMING PERIMETER

PERFORMING PERIMETER

Learning Description

In this lesson, students will calculate the perimeter of various geometric figures and will represent the perimeter of these figures and their angles with a movement phrase. Students watching the perimeter performance will determine what shape was demonstrated.

 

Learning Targets

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

Download PDF of this Lesson

"I Can" Statements

“I Can…”

  • I can correctly calculate the perimeter of geometric figures.
  • I can accurately represent the perimeter of a geometric figure with movement.
  • I can identify a geometric figure by watching a perimeter movement phrase performance.
  • I can use my body to represent different types of angles accurately.

Essential Questions

  • How can you show the perimeter of various geometric figures and angles using movement?

 

Georgia Standards

Curriculum Standards

Grade 3: 

3.GSR.8: Determine the perimeter of a polygon presented in real-life, mathematical problems.

Arts Standards

Grade 3:

ESD3.CR.1 Demonstrate an understanding of the choreographic process.

 

ESD3.CR.2 Demonstrate an understanding of dance as a form of communication.

 

ESD3.PR.1 Identify and demonstrate movement elements, skills, and terminology in dance

 

ESD3.RE.1 Demonstrate critical and creative thinking in dance.

 

South Carolina Standards

Curriculum Standards

Grade 3: 

3.MDA.6 Solve real-world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.

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 7: I can relate dance to other arts disciplines, content areas, and careers.

 

Key Vocabulary

Content Vocabulary

  • Perimeter - Distance around a two-dimensional object
  • Polygon - A two-dimensional plane shape with straight sides
  • Angle - The degrees between two straight lines that have a common endpoint (the vertex)
  • Vertex - The point where two or more straight lines meet

Arts Vocabulary

  • Movement phrase - A series of movements linked together to make a distinctive pattern
  • Non-locomotor - This refers to a movement that does not travel through space
  • Locomotor - This refers to a movement that travels through space
  • Steady beat - An unchanging, continuous pulse
  • Space - An element of movement involving direction, level, size, focus, and pathway
  • Level - One of the aspects of the movement element space; in dance, there are three basic levels: high, middle, and low
  • Choreography - The art of composing dances and planning and arranging the movements, steps, and patterns of dancers
  • Choreographer - A person who creates dances
  • Shape - This refers to an interesting and interrelated arrangement of body parts of one dance; the visual makeup or molding of the body parts of a single dancer; the overall visible appearance of a group of dancers

 

Materials

  • Sound source and music with a steady beat
  • Geometric shape cards
  • Pape and pencil

 

Instructional Design

Opening/Activating Strategy

  • Begin by engaging students in movement that introduces students to the Elements of Dance.
    • Have students arrange themselves in the classroom with enough personal space to move freely without touching a neighbor.
    • Turn on instrumental music with a steady beat.
    • Element of Body: First, have students bring awareness to their bodies by leading them through gentle stretches starting from the head and moving to the toes (e.g., head circles, shoulder shrugs, toe touches, etc.). Then, ask them to make different shapes with their bodies, such as circles, triangles, etc.
    • Element of Action - Locomotor/non-locomotor: Tell students that these movements they just performed were non-locomotor, meaning that they didn’t move to a new location. Direct students to perform a movement that requires moving from one place to another, such as step-together, step-together moving side to side.
    • Have students practice what they just learned by saying words such as “locomotor” and have students create a spontaneous locomotor movement.
    • Have students return to their seats.

 

Work Session

  • Review types of angles with students: Right, acute and obtuse.
    • Demonstrate how to make angles using different parts of your body, such as arms, legs, torso, etc.
    • Call out different types of angles, such as right, acute, and obtuse; ask students to explore different ways they can make the angles with their bodies.
  • View different geometric figures and model how to find the perimeter.
    • Display a polygon and illustrate the perimeter by doing a locomotor movement for the distance of each side, and a non-locomotor movement for each angle.
    • Model the perimeter of several figures and ask students to copy your movements.
  • Tell students that they will now create their own choreography to demonstrate the perimeter and angles of a polygon.
  • Divide students into small groups.
    • First, students will solve the perimeter of six basic geometric figures on the shape cards provided.
    • Assign one geometric figure to each group to represent using movement.
    • After calculating the perimeter of each figure, the groups will decide how to represent the perimeter of their assigned figure with movement.
      • Tell students that the distance should be shown through locomotor movement and the types of angle at the vertices should be shown through nonlocomotor movement.

 

Type of Angle Type of Movement
Acute angle Low angular
Right angle Middle angular
Obtuse angle High angular

 

  • Allow time for students to choreograph and practice. Circulate to work with students and check for understanding.

 

Closing Reflection

  • Students will perform their choreography for their classmates. Discuss appropriate audience participation and etiquette prior to performances.
  • After each performance, the audience will determine which shape matches the performance. Students should refer to the movements and shapes the dancers made with their bodies when justifying their answers.

 

Assessments

Formative

Teachers will assess students’ understanding of the content throughout the lesson by observing students’ participation in the activator, review of types of angles and how to calculate perimeter, movement responses to types of angles, and collaboration with groupmates to choreograph their movement phrase.

 

Summative

CHECKLIST

  • Students can correctly calculate the perimeter of each geometric figure.
  • Students can accurately represent the perimeter of a geometric figure using locomotor movements.
  • Students can identify a geometric figure by watching a perimeter movement phrase performance.
  • Students can use their bodies to represent different types of angles accurately.

 

DIFFERENTIATION 

Acceleration: 

  • Challenge students to create choreography that demonstrates the formula for calculating perimeter.
  • Challenge students to create a movement phrase showing the area of their geometric figure.

Remediation: 

  • Provide formulas for students to use to support mathematical equations.
  • Calculate perimeter of the figures together as a class; then assign individual groups a figure to create a movement phrase for.
  • Focus only on perimeter and omit angles from instruction.

*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.

Ideas contributed by: Whitney Jones. Updated by Katy Betts.

Revised and copyright:  July 2024 @ ArtsNOW

 

Personal Pizza Pies Fun Fractions with Food Art 4-5

PERSONAL PIZZA PIES: FUN FRACTIONS WITH FOOD ART

PERSONAL PIZZA PIES: FUN FRACTIONS WITH FOOD ART

Learning Description

Think about pizzas that you eat – how are they cut? Usually into fractions, such as eighths! In this lesson, students will learn about the art of Wayne Thiebaud, and then create personal pizza art, cutting their ‘pies’ into fractions. Visual fraction models have never been so fun!

 

Learning Targets

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

Download PDF of this Lesson

"I Can" Statements

“I Can…”

  • I can use collage to create an artwork demonstrating fractions.
  • I can add fractions with common denominators.
  • I can describe an image in terms of fractions.

Essential Questions

  • How can a visual art lesson become a teaching tool for mathematics?

 

Georgia Standards

Curriculum Standards

Grade 4: 

4.NR.4.2 Compare two fractions with the same numerator or the same denominator by reasoning about their size and recognize that comparisons are valid only when the two fractions refer to the same whole.

 

4.NR.4.6 Add and subtract fractions and mixed numbers with like denominators using a variety of tools.

Arts Standards

Grade 4: 

VA4.CR.1 Engage in the creative process to generate and visualize ideas by using subject matter and symbols to communicate meaning.

VA4.CR.2 Create works of art based on selected themes.

VA4.CR.3 Understand and apply media, techniques, and processes of two-dimensional art.

VA4.CN.2 Integrate information from other disciplines to enhance the understanding and production of works of art.

 

South Carolina Standards

Curriculum Standards

Grade 4: 

4.NSF.2 Compare two given fractions (i.e., denominators 2, 3, 4, 5, 6, 8, 10, 12, 25, 100) by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1 2 and represent the comparison using the symbols >, =, or <.

 

4.NSF.3 Develop an understanding of addition and subtraction of fractions (i.e., denominators 2, 3, 4, 5, 6, 8, 10, 12, 25, 100) based on unit fractions. a. Compose and decompose a fraction in more than one way, recording each composition and decomposition as an addition or subtraction equation; b. Add and subtract mixed numbers with like denominators; c. Solve real-world problems involving addition and subtraction of fractions referring to the same whole and having like denominators.

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.

Anchor Standard 7: I can relate visual arts ideas to other arts disciplines, content areas, and careers.

 

Key Vocabulary

Content Vocabulary

  • Fraction - A way of representing a part of a whole or a division of quantities
  • Denominator - The bottom number in a fraction, indicating the total number of equal parts into which the whole is divided
  • Numerator - The top number of a fraction

Arts Vocabulary

  • Collage - An artistic composition of materials and objects pasted over a surface to create an image or design.
  • Burnishing - To rub with a tool to smooth or polish
  • Composition - How an artist arranges the elements of art in an artwork; how an artist uses the space in an artwork

 

Materials

  • 10” x 10” white drawing paper
  • 9” x 9” circle templates
  • Pencils
  • Construction paper
  • Scissors
  • Glue
  • Oil pastels, markers, or colored pencils
  • Butcher paper cut into rectangles

 

Instructional Design

Opening/Activating Strategy

Classroom Tips: Cover the work surface with disposable craft paper for quick clean up — all trash can be rolled up and thrown away. Solicit school community to help to build a magazine collection.

 

  • Introduce the lesson by discussing the art of Wayne Thiebaud, specifically his cakes and pies.
  • Divide students into small groups.
  • Pass the following images out to students:
  • Ask students to make observations about the images. Then, they should describe the images in terms of fractions.
  • Project each image on the board. Ask each group to describe their image.

 

Work Session

  • Tell students that they will be creating pizza artwork inspired by Wayne Thiebaud. Allow students to share their favorite pizza toppings (teacher can substitute any circular food–pie, cake, etc.).
  • Pass out white drawing paper and 10” x 10” circle templates (students can share templates).
  • Students will trace the circle on their drawing paper and then cut it out.
  • Discuss the art of collage with students. Collage is an artistic composition of materials and objects pasted over a surface to create an image or design.
  • Have students use a pencil to lightly draw out the crust on their pizzas (or other circular food).
  • Next, students will use oil pastels or another medium, such as colored pencils or markers, to color the crust and cheese.
  • Next, have students cut out toppings for their pizzas using construction paper. Students should glue them onto their pizzas, burnishing (or rubbing) the toppings on the pizza to make them stick.
  • Next, have students cut their pizzas into specified fractions, such as quarters, eighths, etc.
  • Place students in small groups of 3-4. Have students write a pizza order as a word problem using each of their pizzas.
    • For example, “Jenn went to a pizza restaurant and ordered two slices of pepperoni, one slice of Hawaiian, and three slices of supreme. How much of a whole pizza did she order?”. Students will add the fractions to determine the answer.
  • Go back to the images of Thiebaud’s work that students looked at at the beginning of class. Have students observe the compositions and how Thiebaud used the space on the canvas. Ask students how the different desserts are arranged.
  • Next, pass out large paper to students. Have students create a composition like Thiebaud’s displaying various pizzas.
    • Students can choose how to display their pizzas–pizzas can be split into individual slices, as whole pizzas, as whole pizzas with a slice or two missing.
    • Students will need to draw in details, such as a display case, plates, etc.
    • Students will then glue in their pizza collages. Students do not have to use every piece of each pizza in their final artwork. 
  • Finally, have students describe their artwork in terms of fractions. For example, 7/24 of the composition is made up of pepperoni pizza slices. Students should simplify fractions when possible.

 

Closing Reflection

  • Students will share their collaborative artwork with the class and describe it in terms of fractions.
  • Final artwork will be hung together in a class display creating an exciting, educational exhibit.

 

Assessments

Formative

Teachers will assess students’ understanding of the content throughout the lesson by observing students’ participation in the activator, discussion of fractions, artmaking process, and ability to express their artwork in terms of fractions.

 

Summative

CHECKLIST

  • Students can use collage to create an artwork demonstrating fractions.
  • Students can add fractions with common denominators.
  • Students can describe an image in terms of fractions.

 

DIFFERENTIATION 

Acceleration: 

  • Students can make “real” pizzas with food, or fruit pizzas with whipped cream, cutting the pieces and continuing the mathematical discussions.

Remediation: 

 ADDITIONAL RESOURCES

*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.

Ideas contributed by: Debi West. Updated by: Katy Betts.

Revised and copyright: August 2024 @ ArtsNOW

 

Problem Solving with Movement 2-3

PROBLEM SOLVING WITH MOVEMENT

PROBLEM SOLVING WITH MOVEMENT

Learning Description

In this lesson, students will explore problem solving through creating dances and discover why problem solving skills are so important for choreographers.

 

Learning Targets

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

Download PDF of this Lesson

"I Can" Statements

“I Can…”

  • I can identify and perform the Elements of Dance.

  • I can decipher a given word problem.

  • I can solve a given word problem.

  • I can create and perform choreography that demonstrates the solution to a given word problem.

Essential Questions

  • How can math be used to inspire choreography?

 

Georgia Standards

Curriculum Standards

*This lesson can be used with any math standard that lends itself to being expressed as a word problem.

Arts Standards

Grade 2: 

ESD2.CR.1 Demonstrate an understanding of the choreographic process.

 

ESD2.CR.2 Demonstrate an understanding of dance as a form of communication.

 

ESD2.PR.1 Identify and demonstrate movement elements, skills, and terminology in dance

 

ESD2.RE.1 Demonstrate critical and creative thinking in dance.

 

Grade 3:

ESD3.CR.1 Demonstrate an understanding of the choreographic process.

 

ESD3.CR.2 Demonstrate an understanding of dance as a form of communication.

 

ESD3.PR.1 Identify and demonstrate movement elements, skills, and terminology in dance

 

ESD3.RE.1 Demonstrate critical and creative thinking in dance.

 

South Carolina Standards

Curriculum Standards

*This lesson can be used with any math standard that lends itself to being expressed as a word problem.

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 7: I can relate dance to other arts disciplines, content areas, and careers.

 

Key Vocabulary

Content Vocabulary

*Specific content vocabulary will depend on the math concept students are learning.

Arts Vocabulary

  • Choreography - The art of composing dances and planning and arranging the movements, steps, and patterns of dancers

  • Choreographer - A person who creates dances
  • Non-locomotor - This refers to a movement that does not travel through space
  • Locomotor - This refers to a movement that travels through space
  • Steady beat - An unchanging, continuous pulse
  • Elements of Dance - Body, action, space, time and energy

 

Materials

  • Sound source and music with a steady beat
  • Paper and pencils
  • Written word problems on cards

 

Instructional Design

Opening/Activating Strategy

Classroom Tips: Allow for some open space to create and perform. Review audience etiquette expectations before students perform for their peers.

 

  • Tell students that they will be playing the Name Game.
    • Have students stand in a circle. 
    • Demonstrate the Name Game by stating your name while making a movement or gesture to accompany your name. 
    • The circle then collectively repeats your name and gesture. Continue with the next person stating his/her name and making a gesture. The circle repeats the new person's name and gesture. Then, starting with the person of origin, repeat all the names and gestures shared to that point. Continue until everyone in the circle is included.

 

Work Session

    • Tell students that they will be using the Elements of Dance to enact the solution to a word problem.
  • Begin by engaging students in movement that introduces students to the Elements of Dance: Body, action, space, time and energy.
    • Have students arrange themselves in the classroom with enough personal space to move freely without touching a neighbor.
    • Turn on instrumental music with a steady beat.
    • Element of Body: First, have students bring awareness to their bodies by leading them through gentle stretches starting from the head and moving to the toes (e.g., head circles, shoulder shrugs, toe touches, etc.). Then, ask them to make different shapes with their bodies.
    • Element of Time: Next, bring students’ awareness to the rhythm of the music by having them march in place to the beat, gently swinging their arms by their sides. 
    • Element of Energy: Now, direct students to explore energy variations with different movement qualities such as sharp movements–quick, precise actions like punches or snaps, and smooth movements–slow, flowing actions like waves or circles with arms.
    • Element of Space - Levels: Bring students’ attention to levels (high, middle, low) with movements such as stretching up high and moving on tiptoes, crouching in a small ball close to the floor, and bouncing in place at a middle level.
    • Element of Action - Locomotor/non-locomotor: Tell students that these movements they just performed were non-locomotor, meaning that they didn’t move to a new location. Direct students to perform a movement that requires moving from one place to another, such as step-together, step-together moving side to side.
    • Have students practice what they just learned by saying words such as “locomotor” and have students create a spontaneous locomotor movement.
    • Have students return to their seats.
  • Next, divide the class into small groups. Assign each group a word problem (it can be the same word problem or different word problems depending on students’ levels).
    • For example, “You must choreograph a dance combination that is 4 counts of 8 in length. The dance must have an equal number of locomotor and non-locomotor movements.”
    • Students should solve the word problem mathematically. For example, “What is the total number of counts in the dance (32)? How many locomotor movements will you have (16)? How many non-locomotor movements will you have (16)?”
    • Next, students will create choreography to answer the word problems. Students can arrange their choreography as they would like as long as it meets the criteria of the word problem.
      • Example 1: First 4 counts - locomotor movement, second 4 counts - non-locomotor, third 4 counts - locomotor, fourth 4 counts - non-locomotor, fifth 4 counts - locomotor movement, sixth 4 counts - non-locomotor, seventh 4 counts - locomotor, eighth 4 counts - non-locomotor.
      • Example 2: First 4 counts - non-locomotor, second 4 counts - locomotor, third 4 counts - locomotor, fourth 4 counts - non-locomotor, fifth 4 counts - locomotor, sixth 4 counts - locomotor, seventh 4 counts - non-locomotor, eighth 4 counts - non-locomotor.
      • Both dances have 32 counts total, 16 of which are locomotor and 16 of which are non-locomotor.

 

Closing Reflection

  • The students will perform their movement phrases for their classmates. Discuss appropriate audience participation and etiquette prior to performances.
  • After students perform, groups will read their word problem to the class, show their solution and how it went with their performed choreography.
  • If all groups used the same word problem, discuss how different groups created different choreography based on the same criteria.

 

Assessments

Formative

Teachers will assess students’ understanding of the content throughout the lesson by observing students’ participation in the activator, ability to make different types of movements using the Elements of Dance, ability to understand and correctly solve the word problem, and collaboration in group choreography.

 

Summative

CHECKLIST

  • Students can identify and perform the Elements of Dance.
  • Students can decipher the given word problem.
  • Students can solve the given word problem.
  • Students can create and perform choreography that correctly demonstrates the solution to the given word problem.

 

DIFFERENTIATION 

Acceleration: Raise the challenge of the word problem by including more steps, such as a minimum of four different types of movements that students will select and perform. 

Remediation: 

  • Scaffold the lesson by solving a word problem as a class and creating choreography as a class before individual group choreography.
  • Differentiate the level of word problems depending on student ability.

 

*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.

Ideas contributed by: Melissa Dittmar-Joy. Updated by Katy Betts.

Revised and copyright: June 2024 @ ArtsNOW