PROBLEM SOLVING WITH MOVEMENT 4-5

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: 4-5
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 4: 

ESD4.CR.1 Demonstrate an understanding of the choreographic process.

 

ESD4.CR.2 Demonstrate an understanding of dance as a form of communication.

 

ESD4.PR.1 Identify and demonstrate movement elements, skills, and terminology in dance

 

ESD4.RE.1 Demonstrate critical and creative thinking in dance.

 

Grade 5:

ESD5.CR.1 Demonstrate an understanding of the choreographic process.

 

ESD5.CR.2 Demonstrate an understanding of dance as a form of communication.

 

ESD5.PR.1 Identify and demonstrate movement elements, skills, and terminology in dance

 

ESD5.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.

 

  • Play Pass the Movement with students.
    • Begin by having students stand in a circle.
    • The objective of the game is to create a sequence of movements by passing a dance move around the circle or group, with each student adding their unique twist.
    • Each student will create a simple movement and "pass" it to the next student, who will then repeat the movement and add their own.
    • Choose one student to start the game. This student will perform a simple movement, such as a clap, a jump, a spin, or a wave. Encourage students to focus on creating shapes and angles with their bodies.
    • The starting student then "passes" this movement to the next student by making eye contact and gesturing towards them.
    • The next student repeats the initial movement and then adds their own unique movement.
    • This student then "passes" the combined movements to the next student.
    • Each subsequent student repeats the previous movements in the correct order and adds their own new movement.
    • Continue passing the movement around the circle or along the line until all students have had a turn.
    • Once the movement has gone all the way around, have the group perform the entire sequence together from start to finish.

 

 

 

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

 

PROBLEM SOLVING WITH MOVEMENT 6-8

PROBLEM SOLVING WITH MOVEMENT

PROBLEM SOLVING WITH MOVEMENT

Learning Description

In this lesson, students will grasp and apply the order of operations to solve equations by developing choreography that illustrates each step of an equation.

 

Learning Targets

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

Download PDF of this Lesson

"I Can" Statements

“I Can…”

  • I can represent the order of operations through movement.
  • I can create choreography that represents each step of an equation using the order of operations. 
  • I can accurately use the order of operations to solve an equation.

Essential Questions

  • How can movement aid in the comprehension of order of operations and solving equations?

 

Georgia Standards

Curriculum Standards

Grade 6:

6.PAR.6: Identify, write, evaluate, and interpret numerical and algebraic expressions as mathematical models to explain authentic situations.

6.PAR.6.4 Evaluate expressions when given values for the variables, including expressions that arise in everyday situations.

Arts Standards

Grade 6:

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

 

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

 

MSD.PR.1 Identify and demonstrate movement elements, technique, and terminology in dance. 

 

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

 

South Carolina Standards

Curriculum Standards

Grade 6:

6.EEI.1 Write and evaluate numerical expressions involving whole-number exponents and positive rational number bases using the Order of Operations.

 

6.EEI.2 Extend the concepts of numerical expressions to algebraic expressions involving positive rational numbers. 

  1. Evaluate real-world and algebraic expressions for specific values using the Order of Operations. Grouping symbols should be limited to parentheses, braces, and brackets. Exponents should be limited to whole-numbers.

 

Grade 7:

7.EEI.3 Extend previous understanding of Order of Operations to solve multi-step real-world and mathematical problems involving rational numbers. Include fraction bars as a grouping symbol.

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

  • Order of operations -  A set of rules that dictates the sequence in which operations should be performed to ensure consistent and correct results; it is essential when an expression involves multiple operations like addition, subtraction, multiplication, division, exponents, and parentheses

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
  • Equations on cards that require students to use the order of operations

 

 

Instructional Design

Opening/Activating Strategy

Classroom Tips: Set up chairs and tables in a circular format to maximize students’ engagement and ability to see their peers during the activity and performance. Also establish parameters for acceptable movement choices and discuss audience behavior/etiquette with students.


  • Begin the lesson 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.
    • 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.).
    • Next, bring students’ awareness to the rhythm of the music by having them march in place to the beat with high knees, swinging their arms side to side. 
    • 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.
    • Finally, bring students’ attention to levels (high, middle, low) and directions (forward, backward, sideways) with movements such as stretching up high and moving on tiptoes, moving low to the ground and crawling forwards and backwards, and bouncing in place at a medium level.
    • Have students return to their seats.

 

Work Session

  • Review order of operations with students. 
  • Break the class into groups. 
  • Assign each group one of the following: Parenthesis, exponents, multiplication, division, addition, or subtraction.
    • Each group should create a movement that demonstrates their operation.
    • Remind students to think about the movements from the warm-ups and how their levels and body shapes can communicate their concept.
    • Each group will teach their movement to the class.
    • Then, the whole class will perform the choreography together in the correct order of operations. 
  • Assign each group an equation that requires students to use the order of operations in order to be solved.  
  • Ask students to begin by solving their equation mathematically.
    • Next, ask students to create choreography in the order that is needed to solve an equation with the order of operations.
    • For example, if the equation is 19 + 40 ÷ 5 - (8 + 5 ) = X, students would create a movement to represent (8 + 5); 40 ÷ 5; 19 + 8; and finally 27 - 13.
      • Encourage students to incorporate the movements from the order of operations choreography in their equation choreography.

 

Closing Reflection

  • The students will perform their movement phrases for their classmates. Discuss appropriate audience participation and etiquette prior to performances.
  • Turn up the volume of the music and help students find the steady beat again by tapping their toe on the floor.
  • After each performance, students will share and post their equation with ordered sections in how they solved the problem and related it to the sections of choreography they created.

 

Assessments

Formative

Teachers will assess students’ understanding of the content throughout the lesson by observing students’ participation in the activator, ability to express the order of operations through movement, and ability to use the order of operations to solve an equation.

 

Summative

CHECKLIST

  • Students can represent the order of operations through movement.
  • Students can create choreography that represents each step of their equation using the order of operations. 
  • Students can accurately use order of operations to solve their equation.

 

 

DIFFERENTIATION 

Acceleration: Challenge students to create their own equation and create choreography to represent it using the order of operations.

 

Remediation: Assign each group a section of the equation to choreograph. Then, have students put their equation together to solve it using the order of operations.

*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

 

“YOU ADDITIVE INVERSED ME!” 6-8

“YOU ADDITIVE INVERSED ME!”

“YOU ADDITIVE INVERSED ME!”

Learning Description

Bring a simple but sometimes baffling math concept to life through pantomime and improvisation!  In this lesson, students will explore the concepts of absolute value and additive inverses by developing, enacting, and then writing out scenes featuring everyday actions that convey the dynamic at the heart of the math.

 

Learning Targets

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

Download PDF of this Lesson

"I Can" Statements

“I Can…”

  • I can identify the additive inverse of a number.

  • I can act in an improvised scene based on a math concept.

  • I can write out the scene I improvised.

Essential Questions

  • What is an additive inverse?

  • How can we use drama to bring math concepts to life?

 

Georgia Standards

Curriculum Standards

Grade 6:

6.NR.3: Solve a variety of problems involving whole numbers and their opposites; model rational numbers on a number line to describe problems presented in relevant, mathematical situations.

6.NR.3.1 Identify and compare integers and explain the meaning of zero based on multiple authentic situations.

6.NR.3.5 Explain the absolute value of a rational number as its distance from zero on the number line; interpret absolute value as distance for a positive or negative quantity in a relevant situation.

Arts Standards

Grade 6:

TA6.CR.1 Organize, design, and refine theatrical work.

 

TA6.PR.1 Act by communicating and sustaining roles in formal and informal environments.

 

South Carolina Standards

Curriculum Standards

Grade 6:

6.NS.5 Understand that the positive and negative representations of a number are opposites in direction and value. Use integers to represent quantities in real-world situations and explain the meaning of zero in each situation.

Arts Standards

Anchor Standard 1: I can create scenes and write scripts using story elements and structure.

 

Key Vocabulary

Content Vocabulary

  • Positive number – A number to the right of zero on a number line

 

  • Negative number – A number to the left of zero on a number line

 

  • Absolute value – The distance from a number to zero on a number line

  • Additive inverse – The opposite of a number; the number that, when added to a given number, results in the sum of zero

Arts Vocabulary

  • Improvisation – Acting without a script

 

  • Pantomime – Pretending to hold, touch, or do something one is not holding, touching or using

 

  • Dialogue – Conversation between characters

  • Scene – The dialogue and action between characters in one place for one continuous period of time

 

Materials

Paper and pencils, or devices, for writing

 

Instructional Design

Opening/Activating Strategy

    • Model for students a basic mirror activity: Have a student volunteer come to the front; have the student become a mirror; slowly do simple movements (waving, shrugging, tilting head, smiling, frowning, tapping knees, etc.) facing the “mirror” for the student volunteer to copy.
      • Move slowly so that the volunteer can follow. 
      • Trade roles; have the student initiate the movement, and follow the student’s movement.  
  • Note: in mirroring, one partner’s right arm is mirrored by the other’s left arm.

 

Work Session

    • Discuss absolute value and additive Inverse.
      • Explain that a number and its additive inverse add up to 0, and that a number and its additive inverse have the same absolute value.  
      • Confirm comprehension by posing numbers and asking students to reply with each number’s additive inverse.
    • Introduce improvisation – ‘acting without a script’ or ‘making it up as you go’.
      • Explain that in improvisation, actors go along with other actors’ ideas, listen and respond as in a real conversation, and add details and build conflict between the characters to keep the scene interesting.
        • Define a scene as continuous action in a single place.
    • Model an improvised scene with a student, or have two students model an improvised scene, of two characters who know each other (parent/child, siblings, friends), with a specific conflict (child wants permission to go somewhere, parent says “No”; or parent wants child to clean their room, but child is resisting; or child wants sibling to stay out of their room; or child wants friend to play basketball; etc.).
      • Reflect on how the scene was improvised, and how the actors improvised effectively to create an interesting scene.
    • Brainstorm verbs that convey opposite/reversible, measurable actions (not simple binaries of on/off, in/out, etc.) such as push/pull, buy/sell, earn/spend, stretch/contract, wrap/unwrap, produce/consume, build/dismantle, inflate/deflate, etc.  
    • Discuss additive inverse and how it can be represented in opposite actions conveyed in the verb pairs.
      • If needed, provide examples of additive inverse relationships in real world situations from the Georgia standard: “temperature above/below zero, elevation above/below sea level, debits/credits, positive/negative electric charge”.
    • Explain that students will work with a partner to improvise scenes that convey additive inverse relationships in everyday situations.
      • Students should use dialogue and pantomime in their scenes.
        • Define pantomime, and explain that students will pantomime any actions in their scenes. 
    • Model an improvised scene with a student, or guide two students in modeling an improvised scene, in which an action and its opposite are the center of the conflict. Develop the conflict to the point where one character says. “You additive inversed me!”
      • Examples could include:
        • A child earns X minutes of screen time for doing chores, but the parent discovers a rule or object that was broken and takes away the time.
        • A friend is winning a one-on-one basketball game by 13 points, but the opponent has a 13-point run to tie the game.
        • A grandmother baked 17 cookies, but the child ate 17 cookies. 
  • Any actions in the scene should be pantomimed.
  • Have student pairs improvise their scenes simultaneously.
  • Have students write their improvised scenario as a scene, detailing what the characters said.
  • Each student should write their own. They should try to remember what they can from the improvised scene but also feel free to revise and reinvent what was said as they write it down.  
  • Have students draw a diagram or chart or number line that shows the additive inverse in a mathematical representation.

 

Closing Reflection

  • Ask students to define and give real-world examples of additive inverses.  
  • Discuss improvisation and pantomime and how they were used in the scenes.

 

Assessments

Formative

Teachers will assess students by observing students’ discussions around additive inverse relationships between two quantities, and observing their focus and collaboration in improvising their scene, specifically in terms of both engaging in dialogue with their partners and expressing actions through pantomime.

 

Summative

CHECKLIST

  • Students can identify the additive inverse of a number.
  • Students can act in an improvised scene that demonstrates understanding of additive inverse number relationships using dialogue and pantomime.
  • Students can express understanding of additive inverse through a written scene.

 

DIFFERENTIATION 

Acceleration:

  • Have students be more specific within their scenes, including specific measurements and equations to express the concept of additive inverses in their scenes.

Remediation:

  • Model several scenes before having students do them with partners.
  • Have student partners improvise the same scenario that was used in the modeling.
  • Develop an idea together and have all partners improvise that scenario simultaneously.

 

 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:  Barry Stewart Mann

Revised and copyright:  May 2024 @ ArtsNOW

 

MOVEMENT AND MEASUREMENT 2-3

MOVEMENT AND MEASUREMENT

MOVEMENT AND MEASUREMENT

Learning Description

In this math and dance lesson, students will compare tall and short height through dance levels. With partners, they will participate in a mirror dance demonstrating their understanding of levels and measurements.

 

Learning Targets

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

Download PDF of this Lesson

"I Can" Statements

“I Can…”

  • I can use levels to compare movements that are taller and shorter.

  • I can use my body to demonstrate changes in levels and size.

  • I can use instruments of measurement, such as a ruler or meter stick, to test my conclusions.

  • Grade 3: I can choreograph a dance and organize the data into a line plot.

Essential Questions

  • How can dancers use levels to compare movements that are taller and shorter?

  • How can you use your body to demonstrate changes in levels and size

  • What instruments can we use to determine height?

 

Georgia Standards

Curriculum Standards

Grade 2

2.MDR.5: Estimate and measure the lengths of objects and distance to solve problems found in real-life using standard units of measurement, including inches, feet, and yards.

 

2.MDR.5.2 Estimate and measure the length of an object or distance to the nearest whole unit using appropriate units and standard measuring tools.

 

2.MDR.5.3 Measure to determine how much longer one object is than another and express the length difference in terms of a standard-length unit.

Arts Standards

Grade 2

​​ESD2.PR.1 Identify and demonstrate movement elements, skills, and terminology in dance. a. Apply dance terminology to describe and create movement (e.g. levels, pathways, directions, speed, rhythm, energy, qualities, shapes).

 

ESD2.CN.3 Identify connections between dance and other areas of knowledge.

 

South Carolina Standards

Curriculum Standards

Grade 2

2.MDA.3 Estimate and measure length/distance in customary units (i.e., inch, foot, yard) and metric units (i.e., centimeter, meter). 

 

2.MDA.4 Measure to determine how much longer one object is than another, using standard length units.

 

Grade 3

3.MDA.4 Generate data by measuring length to the nearest inch, half-inch and quarter-inch and organize the data in a line plot using a horizontal scale marked off in appropriate units.

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

  • Measurement - The size, amount, degree, or capacity of something; it is typically determined by using an instrument or device marked in standard units

  • Inches - A unit of length in the United States customary systems of measurement; twelve inches make a foot

  • Foot - A unit of length in the United States customary systems of measurement

  • Meter - The base unit of length in the International System of Units (SI)

  • Meter stick - A tool that measures meters
  • Ruler - A tool that measures inches

Arts Vocabulary

  • Movement - The various actions performed by the body to create and express motion, rhythm, and emotion

  • Mirror dance - A type of dance exercise or performance in which two dancers face each other and perform movements that mirror each other's actions, as if one dancer is the reflection of the other in a mirror

  • Shape - The positioning and form of the dancer's body

  • Levels - The use of different heights or vertical spaces through which dancers move and position their bodies (high, middle, low)

  • Choreography - The art of designing and arranging movements to create a structured and cohesive performance

 

Materials

  • Photos of dancers demonstrating different levels
  • Drum or music
  • Meter stick
  • Ruler

 

Instructional Design

Opening/Activating Strategy

Show students several photographs of dancers in various positions that show different heights. Ask students to compare the height of the different positions. Tell students that the height of a dancer’s movement is called a level (high, middle, low).

 

Work Session

    • Lead exploration of taller and shorter shapes and movements with “Move and Freeze”. 
    • Teacher will need a drum or music for accompaniment.  
      • Tell students that they are going to dance “Move and Freeze”. This means that when they hear the drum or music, they move, and when it stops, they freeze in a shape, like a statue. 
      • Remind students to make sure that they have a “space bubble” around them so that they don’t bump or touch anyone. 
      • Tell students that they will dance in “self-space”, which means that they will stay in one spot. 
      • Begin the exercise. When the teacher stops the drum or music, tell students to freeze in a shape at a high level. Then, to stretch their shape taller, and freeze again, then stretch taller, and then freeze again. Do the same with low levels to make a shape shorter. 
    • Reflect by asking students whether they were able to make their high level shapes taller and their low level shapes shorter. How do they know? 
    • Next, tell students that they will be creating a mirror dance with a partner to explore tall and short shapes and movements. 
      • Ask students to find a partner. One will start as the leader and one as the follower. 
      • Students will face each other; as the leader moves, the follower will mirror the leader’s movements.
      • Verbally cue leaders as they demonstrate tall and short movements for their partner to mirror. 
        • Tell leaders to start by making tall movements with high levels; then, to freeze in a tall shape. 
        • Tell leaders to use even taller movements; then, to freeze in a shape. 
        • Tell leaders to use shorter movements with a low level. Then, to freeze in a short shape. 
        • Tell leaders to use even shorter movements and freeze in a shape. 
        • Once students understand the concept, allow them to choreograph their own movements.
      • Allow the followers to participate in the leader role and the leaders to participate in the follower role.
      • Facilitate pair-share reflection.
        • Tell students to respond to the following questions: 
          • What types of movements and levels did you pick when you were the leader? Tall, short?
          • Partners, how did you know that was true (that they were tall or short)?
    • Tell students that “Dancing Mathematicians” wonder why things are true, so they will test their conclusions.
      • Review units of measurement with students: Inches, feet and meters.  
      • Review how to use a measuring device such as a meter stick and/or ruler.
      • Ask for two student volunteers. Volunteer 1 will make a short shape at a low level. Volunteer 2 will make a tall shape at a high level. 
      • The class should state which is taller and which is shorter. Ask students what instrument they could use to determine the difference between the heights and determine if their conclusions were correct.
      • Ask a third volunteer to measure the difference between the heights. Discuss findings as a class.

     

    Grade 3 extension: 

    • Tell students that they will be choreographing a dance using high, middle, and low levels. 
      • They can choose the movements and body shapes they would like to use in each level. 
      • They should have at least eight movements in their choreography and should have movements in each level. 
      • They can repeat levels, movements, and shapes however they would like.
    • After they have choreographed their dance, students should interpret their choreography into data and organize their data into a line plot.
    • Students will perform choreographed dances for the class and share their line plots.

    Closing Reflection

    • Ask students to explain how they used levels to make shapes and movements that were taller and shorter in height.
    • Ask students to explain how they determined which movements were taller and which were shorter. 
    • Ask students to explain how these strategies can help them estimate measurement in other scenarios.

     

    Assessments

    Formative

    Teachers will assess students’ understanding by observing students’ discussion of levels in dance photography, participation in “Move and Freeze”, and their participation in the mirror dance and choreography.

     

    Summative

    CHECKLIST

    • Students can use levels to compare movements that are taller and shorter.
    • Students can use their bodies to demonstrate changes in levels and size.
    • Students can use instruments of measurement, such as a ruler or meter stick, to test their conclusions.

          Grade 3 extension: 

    • Students can choreograph a dance with eight movements that show low, middle, and high levels.
    • Students can interpret choreography as data and organize data into a line plot.

     

    DIFFERENTIATION 

    Accelerated: 

    • Students can compare objects in the room by length (long/short) and create choreography with long and short locomotor movements (any movement that travels through space from one location to another).
    • Students can estimate the height of their movements and check them with a ruler or meter stick.
    • Students can choreograph a dance that uses low, middle, and high levels. 

    Remedial: 

    • For students who struggle with understanding space, this activity can be done outside to allow more space. 
    • Physically adapt this lesson so that students use only upper or lower body movement.

    *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: Jessica Wurst

    Revised and copyright:  May 2024 @ ArtsNOW

     

    FRACTIONS AND BODY PERCUSSION 4-5

    FRACTIONS AND BODY PERCUSSION

    FRACTIONS AND BODY PERCUSSION

    Learning Description

    In this lesson, students will explore how they can use body percussion to learn about, represent and compare fractions through music.

     

    Learning Targets

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

    Download PDF of this Lesson

    "I Can" Statements

    “I Can…”

    • I can represent fractions in multiple ways within a framework using visual models.
    • I can compare two fractions with different numerators and denominators by flexibly using a variety of tools and strategies. 
    • I can add fractions with like denominators..
    • I can compose a body percussion rhythm that represents fractions.
    • I can listen to, analyze, and describe music.
    • I can compose a body percussion composition that represents fractions.
    • I can connect music to math.

    Essential Questions

    • How can I represent fractions using body percussion?
    • How does music connect to math?

     

    Georgia Standards

    Curriculum Standards

    Grade 4

    4.NR.4.1 Using concrete materials, drawings, and number lines, demonstrate and explain the relationship between equivalent fractions, including fractions greater than one, and explain the identity property of multiplication as it relates to equivalent fractions. Generate equivalent fractions using these relationships.

     

    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.4.3 Compare two fractions with different numerators and/or different denominators by flexibly using a variety of tools and strategies 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

    ESGM4.RE.1 Listen to, analyze, and describe music.

    ESGM4.CR.2 Compose and arrange music within specified guidelines.

    ESGM4.PR.2 Perform a varied repertoire of music on instruments, alone and with others.

    ESGM4.CN.1 Connect music to the other fine arts and disciplines outside the arts.

    Grade 5

    ESGM5.RE.1 Listen to, analyze, and describe music.

    ESGM5.CR.2 Compose and arrange music within specified guidelines.

    ESGM5.PR.2 Perform a varied repertoire of music on instruments, alone and with others.

    ESGM5.CN.1 Connect music to the other fine arts and disciplines outside the arts.

     

    South Carolina Standards

    Curriculum Standards

    Grade 4

    4.NSF.1 Explain why a fraction (i.e., denominators 2, 3, 4, 5, 6, 8, 10, 12, 25, 100), is equivalent to a fraction, by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

     

    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.

    Arts Standards

    Anchor Standard 1: I can arrange and compose music.

    Anchor Standard 4: I can play instruments alone and with others.

    Anchor Standard 6: I can analyze music.

    Anchor Standard 7: I can evaluate music

    Anchor Standard 9: I can relate music to other arts disciplines, other subjects, and career paths.

     

     

    Key Vocabulary

    Content Vocabulary

    • Fractions - Equal parts of a whole          
    • Numerator - The top number in a fraction that represents how many parts of a whole are being considered
    • Denominator - The bottom number in a fraction. It represents the total number of equal parts into which the whole is divided
    • Greater than (>) - A number that is larger than another number
    • Less than (<) - A number that is smaller than another number
    • Equal to (=) - A number that has the same value as another number
    • Equivalent fractions - Different fractions that represent the same part of a whole; they have different numerators and denominators but the same value

    Arts Vocabulary

    • Steady beat - Steady pulse

    • Body percussion - Stomping, patting, clapping, snapping, etc.)
    • Pitch - High/low sounds
    • Rhythm - Long/short sounds
    • Dynamics - Loud/soft sound

     

    Materials

    • Paper
    • Pencils
    • Teacher access to computer and Internet

     

     

    Instructional Design

    Opening/Activating Strategy

    •  
    • Prepare students for the listening activity by telling students that they are going to listen to a song and answer three prompts about the song. Wait until the end of the listening activity before revealing the title and composer of the song.
        • The first prompt is “I hear”.
          • Students should focus on the different musical sounds such as tempo (fast/slow), dynamics (loud/soft), instruments, pitch (high/low), and lyrics (words to song). They may use words or draw a quick picture to answer. 
          • Play the song audio only one time while students are listening in order to answer the prompt, “I hear”. 
          • Students turn and talk to a neighbor and share their answers.
          • Students share out to the class. Validate the answers that students give.
          • Repeat the process for “I think” and “I wonder”.
            • For “I think”, the teacher can ask clarifying questions such as, “What did you hear in the music that made you think that?”.
    • After the listening activity, encourage students to sing along with the recording. Provide a lyric sheet or turn on closed captions so that students can sing along with the video. (The font of the closed caption can be enlarged by clicking on settings, then English, finally options.)
      • Start by singing the chorus. Tell students that the chorus is the main idea of the song with repeating lyrics.
      • Lead students in finding the steady beat to the song during the verses by directing students to pat their legs or tap two fingers in a palm. 
      • Demonstrate the four basic movements of body percussion (stomp, pat, clap, snap–or tap two fingers in palm if snapping is a challenge). Lead students in each of these movements doing them to the steady beat of the song.
    • Transition into the lesson about fractions.

    Work Session

      • Introduce or review grade level fraction concepts, such as equivalent fractions, comparing fractions, and adding and subtracting fractions. Use modeling, visual representations, and hands-on manipulatives to help students understand the concept of fractions.
      • Transition to the concept of representing and comparing fractions through performing rhythmic movements called body percussion.
        • Remind students of the four basic movements of body percussion used in the activator (stomp, pat, clap, snap–or tap two fingers in palm if snapping is a challenge).
        • Help students determine the fractions of the body movements in Body Percussion Grid 1 (ex: claps = 5/16 if using the entire board)
        • Students will then compare the fractions using greater than, less than, and equal to.
    • Divide students into small groups of three to four students and present the following group task:
      • Tell students that as a group, they will create their own body percussion composition using the Create Your Own Beat Body Percussion Board.
        • Predetermine how many movements students should use/how many squares on the board (ex: the entire board, only 12 squares, only 8 squares, etc.). This number will represent the denominator.
          • Assign a different number of total movements for different groups. 
        • Provide time for students to:
          • Compose their body percussion using the blank board. 
          • Determine and write fractions based on the occurrence of body parts. 
          • Students should add their fractions to ensure that they have the correct total number of movements assigned (i.e., 5/16 + 2/16 + 4/16 + 5/16 = 16/16).
          • Compare the fractions using greater than, less than, and equal to.
          • Practice performing the body percussion composition to a steady beat.
    • After a predetermined amount of work time, students will share their body percussion compositions with a partner group.
      • Groups will work to compare the occurrence of body parts in each of their compositions by finding the least common denominator. For example, one group used clapping 3 beats out of 16 total and their partner group used clapping 3 beats out of 8 total. Students should find the least common denominator and show that 3/16 < 6/16.
      • Students should look for any occurrences of the same numerator in their fractions and be able to determine that because they have different denominators, the fractions are not equivalent. 
      • Students should look for any occurrences of equivalent fractions when comparing  compositions and be able to determine that the fraction of the movement in each composition is the same even though the occurrence of the movement is different in each composition.

    Closing Reflection

    • Partner groups will share their body percussion composition with the class.
      • Remind performers to do their best. Remind audience members to give their attention to the performing group and applaud the group’s effort after the performance.
      • Groups will share with the class what they learned when comparing their compositions.
    • Together, the teacher and students will review how students used body percussion to represent and compare fractions.

     

     

    Assessments

    Formative

    Teacher will assess student learning through:

    • Observation of written responses during the listening activity.
    • Observation of “turn and talk” and “sharing out” during the listening activity.
    • Observation of students singing with a steady beat.
    • Observation of students demonstrating the steady beat during the singing activity.
    • Observation and questioning during the group task.
    • Observation of groups comparing their compositions.

     

     

     

    Summative

    CHECKLIST

    • Students can perform the body percussion to a steady beat.
    • Students can correctly identify fractions based on the body parts used to create the body percussion compositions.
    • Students can compare fractions using body percussion compositions by finding the least common denominator.
    • Students can create a body percussion composition that represents fractions.

     

     

     

    DIFFERENTIATION 

    Acceleration: 

    • Require a minimum number of movements in the composition. 
    • Have groups combine their compositions into one large composition after converting all fractions to the least common denominator. If the least common denominator was 16 for each, by combining the two compositions, the total number of movements will now be 32. Students should add all occurrences of each body percussion movement and reorder the movements from least to greatest. For example, after converting the fractions to use the least common denominator, one group has used clapping 2 times and the other group 4 times (using the new denominator of 32, 2/32 + 4/32 = 6/32); one groups has used stomping 3 times and the other group 5 times (3/32 + 5/32 = 8/32). Students would then order/compare the movements from least to greatest, 6/32 < 8/32.
    • Have students simplify fractions where possible. 

    Remediation: 

    • Scaffold the lesson by working with students to compare two example compositions by finding the least common denominators before groups complete this task independently.
    • Reduce the number of total squares/denominator to complete on the body percussion board.
    • Limit the number of types of body percussion movements students should use in their compositions to a small number.

     

     

     

    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: Rue Lee-Holmes. Updated by: Katy Betts.

    Revised and copyright:  August 2024 @ ArtsNOW