ALEX Classroom Resource

  

Thiebaud's Cake Math

  Classroom Resource Information  

Title:

Thiebaud's Cake Math

URL:

https://www.nga.gov/education/teachers/lessons-activities/counting-art/thiebaud-elem.html

Content Source:

Other
National Gallery of Art
Type: Lesson/Unit Plan

Overview:

Students will analyze the painting, Cakes, by Wayne Theibaud.  They will practice fractions and paint a decorated cake.  

Content Standard(s):
Arts Education
ARTS (2017)
Grade: 2
Visual Arts
3) Extend skills by individually following sequential steps to create works of art on subjects that are real or imaginary.

Example: Use the book A House for Hermit Crab by Eric Carle.
Create a real or imagined home.

Unpacked Content
Artistic Process: Creating
Anchor Standards:
Anchor Standard 2: Organize and develop artistic ideas and work.
Process Components: Investigate, Plan, Make
Essential Questions:
EU: Artists and designers experiment with forms, structures, materials, concepts, media, and artmaking approaches.
EQ: How do artists work? How do artists and designers determine whether a particular direction in their work is effective? How do artists and designers learn from trial and error?
Concepts & Vocabulary:
  • Principles of design
    • Balance
  • Brainstorming
  • Composition
  • Concepts
  • Characteristic
  • Elements of art
    • Space
    • Value
  • Expressive properties
  • Foreground
  • Middle ground
  • Neutral colors
  • Resist
Skill Examples:
  • Create two-dimensional artworks such as drawing or painting by using a variety of media.
  • Use the book, The Goat in the Rug by Charles L.
  • Blood & Martin Link to learn about weaving.
  • Use clay or pipe cleaners to create small animal sculptures.
  • Work in groups to brainstorm ideas for a collaborative art project.
  • Use a book about clay, When Clay Sings by Byrd Baylor to study Native Americans and their traditions.
  • Use the book A House for Hermit Crab by Eric Carle to explore collage techniques.
  • Create a real or imagined home using two-and-three-dimensional media.
  • Learn how to properly use and store brushes, close glue bottles and marker tops.
  • Use found objects such as leaves, rocks, paper tubes, egg cartons, etc.
  • to create artworks.
  • Use the book A Day with No Crayons by Elizabeth Rusch to explore different colors and values.
  • Create a landscape showing depth by placing the foreground, middle ground and background in their correct positions.
Arts Education
ARTS (2017)
Grade: 3
Visual Arts
1) Elaborate on an individual or prompted imaginative idea.

Examples: Create an imaginative mask showing his/her personality.
Look at masks from different cultures such as Chinese, African and Native American.

Unpacked Content
Artistic Process: Creating
Anchor Standards:
Anchor Standard 1: Generate and conceptualize artistic ideas and work.
Process Components: Investigate, Plan, Make
Essential Questions:
EU: Creativity and innovative thinking are essential life skills that can be developed.
EQ: What conditions, attitudes, and behaviors support creativity and innovative thinking? What factors prevent or encourage people to take creative risks? How does collaboration expand the creative process?
Concepts & Vocabulary:
  • Creativity
  • Criteria
  • Critique
  • Design
  • Media
  • Mixed media
  • Monochromatic
  • Principles of design
    • Rhythm
  • Technology
  • Visual image
Skill Examples:
  • Use a variety of materials to create a three-dimensional mask showing a student's personality.
  • Use torn paper scraps to create rhythm in a landscape.
  • Plan a community/city; then, build a model of it with recyclable materials, such as cardboard, boxes, containers, and tubes.
  • Collaborate with a group to demonstrate how to care for tools used in class (such as paintbrushes).
  • After looking at Vincent van Gogh's painting, Bedroom, create a narrative painting depicting a memory of a student's personal bedroom.
  • Use appropriate visual art vocabulary during the art-making process of two-and-three-dimensional artworks.
  • Collaborate with others to create a work of art that addresses an interdisciplinary theme.
  • Read and explore books like Imagine That by Joyce Raimondo or Dinner at Magritte's by Michael Garland and then create a Surrealistic style artwork.
  • Recognize and identify choices that give meaning to a personal work of art.
  • Create a drawing using monochromatic colors (paint, oil pastels, etc.).
  • Explore individual creativity using a variety of media.
  • Understand what effects different media can have in a work of art.
Arts Education
ARTS (2017)
Grade: 4
Visual Arts
3) Generate ideas and employ a variety of strategies and techniques to create a work of art/design.

Unpacked Content
Artistic Process: Creating
Anchor Standards:
Anchor Standard 2: Organize and develop artistic ideas and work.
Process Components: Investigate, Plan, Make
Essential Questions:
EU: Artists and designers experiment with forms, structures, materials, concepts, media, and artmaking approaches.
EQ: How do artists work? How do artists and designers determine whether a particular direction in their work is effective? How do artists and designers learn from trial and error?
Concepts & Vocabulary:
  • Constructed environment
  • Cultural traditions
  • Digital format
  • Engagement
  • Tertiary color
  • Preservation
  • Proportion
  • Principles of design
    • Unity
  • Shade
  • Style
  • Tints & shades
Skill Examples:
  • Create a list of multiple ideas, sketches, or thumbnail-sketches before beginning the final version of an artwork.
  • Identify, select, and vary art materials, tools and processes to achieve desired results in their artwork.
  • Brainstorm (alone or with others) potential art styles for a given piece of art, such as Monet's Water Lilies.
  • Create an artwork from direct observation (still-life, self-portrait, figure drawing, etc.).
  • Design a two-dimensional drawings of a futuristic art room, town, or planet
  • Use wood, found objects, wire, paper, or clay-based materials to construct a three-dimensional form.
  • Locate business logos in the community and explore the visual arts skills and materials that were used to create these works.
  • Engage in group critiques of one's work and the work of others.
  • Experiment with art materials by using them in unusual and creative ways to express ideas and convey meaning.
  • Use and care for materials, tools, and equipment in a manner that prevents danger to oneself and others.
  • Mix equal parts of a primary and a secondary color located beside each other on the color wheel to create a tertiary color.
  • Use the design principles of repetition and alignment to add visual unity to an artwork.
  • Create a painting using a monochromatic color scheme by using one color (red) adding white to create a tint (a lighter value--pink) and adding black to the color (red) to create a shade (darker value).
Mathematics
MA2019 (2019)
Grade: 3
13. Demonstrate that a unit fraction represents one part of an area model or length model of a whole that has been equally partitioned; explain that a numerator greater than one indicates the number of unit pieces represented by the fraction.

Unpacked Content
Evidence Of Student Attainment:
Students:
When given any fraction in form a/b,
  • Create an area model to represent the fraction.
  • Use a number line to represent the fraction.
  • Explain the relationship between the fraction and the model including the corresponding number of unit fractions.
    Example: 3/4 is composed of 3 units of 1/4 or 3/4 is the same as 1/4 + 1/4 + 1/4.
  • Identify a point to represent the fraction when given on a number line labeled with multiple points.
Note: Set models (parts of a group) are not models used in grade 3.
Teacher Vocabulary:
  • Unit fraction
  • Area model
  • Interval
  • Length (Linear) model
  • Partition
  • Numerator
  • Denominator
  • Part
  • Point
  • Whole
Knowledge:
Students know:
  • Fractional parts of a whole must be of equal size but not necessarily equal shape.
  • Denominators represent the number of equal size parts that make a whole.
  • The more equal pieces in the whole, the smaller the size of the pieces.
  • The numerator represents the number of equal pieces in the whole that are being counted or considered.
Skills:
Students are able to:
  • Use an area model and length model to show a unit fraction as one part of an equally partitioned whole.
  • Explain that given a fraction with a numerator greater than one, the numerator indicates the number of unit fraction pieces represented by the fraction.
    Example: 3/4 is the same as 3 units of 1/4 size, or three 1/4 pieces, 3 copies of 1/4, or 3 iterations of 1/4.
  • Identify and describe the fractional name given a visual fraction model.
  • Identify and demonstrate fractional parts of a whole that are the same size but not the same shape using concrete materials.
Understanding:
Students understand that:
  • Given the same size whole, the larger the denominator, indicating the number of equal parts in the whole, the smaller the size of the pieces because there are more pieces in the whole.
  • Fractions are numbers that represent a quantity less than, equal to, or greater than 1.
  • Fractions represent equal partitions of a whole.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.3.13.1: Define fraction, numerator, and denominator.
M.3.13.2: Identify the parts of a fraction.
M.3.13.3: Label numerator, denominator, and fraction bar.
M.3.13.4: Identify parts of a whole with two, three, or four equal parts.
M.3.13.5: Distinguish between equal and non-equal parts.
M.3.13.6: Partition circles and rectangles into two and four equal shares; describe the shares using the words halves, fourths, and quarters; and use the phrases half of, fourth of, and quarter of.

Prior Knowledge Skills:
  • Define halves, thirds, fourths, quarters, whole, parts (shares) and equal.
  • Distinguish between equal and non-qual parts.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.15 Compare fractions.
M.AAS.3.15a Use models to identify two equivalent fractions (limit to fourths and halves).
M.AAS.3.15b Recognize two equivalent fractions (limit to fourths and halves).
M.AAS.3.15c Use models of fourths and halves to make a whole.


Mathematics
MA2019 (2019)
Grade: 4
15. Model and justify decompositions of fractions and explain addition and subtraction of fractions as joining or separating parts referring to the same whole.

a. Decompose a fraction as a sum of unit fractions and as a sum of fractions with the same denominator in more than one way using area models, length models, and equations.

b. Add and subtract fractions and mixed numbers with like denominators using fraction equivalence, properties of operations, and the relationship between addition and subtraction.

c. Solve word problems involving addition and subtraction of fractions and mixed numbers having like denominators, using drawings, visual fraction models, and equations to represent the problem.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • When given any fraction or mixed number, apply unit fraction understanding to decompose the given fraction or mixed number into the sum of smaller fractions, including unit fractions.
  • When given a problem solving situation involving addition and subtraction of fractions or mixed numbers with like denominators, explain and justify solutions using unit fractions, visual models, and equations involving a single unknown.
Teacher Vocabulary:
  • Decomposition
  • Unit fraction
  • Area model
  • Length model
  • Equation
  • Mixed number
  • Visual fraction model
  • Whole
  • Sum
  • Difference
  • Recomposition
Knowledge:
Students know:
  • Situation contexts for addition and subtraction problems.
  • A variety of strategies and models to represent addition and subtraction situations.
  • The fraction a/b is equivalent to the unit fraction 1/b being iterated or "copied" the number of times indicated by the numerator, a.
  • A fraction can represent a whole number or fraction greater than 1 and can be illustrated by decomposing the fraction.
    Example: 6/3 = 3/3 + 3/3 = 2 and 5/3 = 3/3 + 2/3 = 1 2/3.
Skills:
Students are able to:
  • Decompose fractions as a sum of unit fractions.
  • Model decomposition of fractions as a sum of unit fractions.
  • Add and subtract fractions with like denominators using properties of operations and the relationship between addition and subtraction.
  • Solve word problems involving addition and subtraction using visual models, drawings, and equations to represent the problem.
Understanding:
Students understand that:
  • A unit fraction (1/b) names the size of the unit with respect to the whole and that the denominator tells the number of parts the whole is partitioned, and the numerator indicates the number of parts referenced.
  • A variety of models and strategies can be used to represent and solve word situations involving addition and subtraction.
  • The operations of addition and subtraction are performed with quantities expressed in like units, and the sum or difference retains the same unit.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.4.15.1: Recognize that a whole can be partitioned into differing equal parts (halves, fourths, eighths, etc.).
M.4.15.2: Identify numerator and denominator.
M.4.15.3: Recall basic addition and subtraction facts.
M.4.15.4: Demonstrate an understanding of fractional parts.
M.4.15.5: Recall basic addition and subtraction facts.
M.4.15.6: Define mixed numbers.
M.4.15.7: Recall basic addition and subtraction facts.
M.4.15.8: Demonstrate an understanding of fractional parts.
M.4.15.9: Solve basic word problems using whole numbers.
M.4.15.10: Express parts of a whole as a fraction.
M.4.15.11: Write number sentences for word problems.
M.4.15.12: Identify key terms in word problems.
M.4.15.13: Recall basic addition and subtraction facts.

Prior Knowledge Skills:
  • Define fraction, numerator, and denominator.
  • Identify the parts of a fraction a/b as the quantity formed by a parts and size 1/b.
  • Label numerator, denominator, and fraction bar.
  • Identify parts of a whole with two, three, or four equal parts.
  • Distinguish between equal and non-qual parts.
  • Partition circles and rectangles into two and four equal shares; describe the shares using the words halves, fourths, and quarters; and use the phrases half of, fourth of, and quarter of.
  • Recognize fractions as lengths from zero to one.
  • Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2…, and represent whole-number sums and differences within 100 on a number diagram.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.4.15 Model decomposing fractions having like denominators, using visual fraction models (limit to half and fourths).


Tags: art, fractions, math, paint
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Author: Tiffani Stricklin