In this lesson, the seventh of an eight-part unit from Illuminations titled “Paper Quilts,” students create a quilt using three transformations (reflection, rotation, and translation) and then investigate the ways shapes can be colored to show “one-half” and “one-fourth.” They also locate lines of symmetry and create a set of directions for making their quilt block.

North Carolina Curriculum Alignment

Visual Arts Education (2001)

Grade 4

  • Goal 2: The learner will develop skills necessary for understanding and applying media, techniques, and processes.
    • Objective 2.02: Use additional art media, techniques and processes which may include:
      • Fibers - stitchery, a variety of fiber weaving techniques, felting and quilting
      • Cut paper - complex symmetrical folding and cutting;
      • Sculpture - experiments with varied tools including small hand tools.

Grade 5

  • Goal 2: The learner will develop skills necessary for understanding and applying media, techniques, and processes.
    • Objective 2.01: Use additional art media, techniques and processes, which may include:
      • Drawing - charcoal
      • Printmaking - easy cut, mixed media, collographs
      • 3-D - wire
      • Photography - pin-hole cameras
  • Goal 3: The learner will organize the components of a work into a cohesive whole through knowledge of organizational principles of design and art elements.
    • Objective 3.01: Recognize and apply the elements of art in an aesthetic composition.
    • Objective 3.04: Use variations to create interest in a composition.

Mathematics (2004)

Grade 4

  • Goal 1: Number and Operations - The learner will read, write, model, and compute with non-negative rational numbers.
    • Objective 1.03: Solve problems using models, diagrams, and reasoning about fractions and relationships among fractions involving halves, fourths, eighths, thirds, sixths, twelfths, fifths, tenths, hundredths, and mixed numbers.
  • Goal 3: Geometry - The learner will recognize and use geometric properties and relationships.
    • Objective 3.03: Identify, predict, and describe the results of transformations of plane figures.
      • Reflections.
      • Translations.
      • Rotations.

Grade 5

  • Goal 1: Number and Operations - The learner will understand and compute with non-negative rational numbers.
    • Objective 1.02: Develop fluency in adding and subtracting non-negative rational numbers (halves, fourths, eighths; thirds, sixths, twelfths; fifths, tenths, hundredths, thousandths; mixed numbers).
      • Develop and analyze strategies for adding and subtracting numbers.
      • Estimate sums and differences.
      • Judge the reasonableness of solutions.
  • Goal 3: Geometry - The learner will understand and use properties and relationships of plane figures.
    • Objective 3.03: Classify plane figures according to types of symmetry (line, rotational).