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K–12 teaching and learning · from the UNC School of Education

Planning and making a mini-quilt

http://illuminations.nctm.org/LessonDetail.aspx?ID=L312

A lesson plan for grades 3–4 Mathematics

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In this lesson, 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

Mathematics (2004)

Grade 3

  • Goal 1: Number and Operations - The learner will model, identify, and compute with whole numbers through 9,999.
    • Objective 1.05: Use area or region models and set models of fractions to explore part-whole relationships.
      • Represent fractions concretely and symbolically (halves, fourths, thirds, sixths, eighths).
      • Compare and order fractions (halves, fourths, thirds, sixths, eighths) using models and benchmark numbers (zero, one-half, one); describe comparisons.
      • Model and describe common equivalents, especially relationships among halves, fourths, and eighths, and thirds and sixths.
      • Understand that the fractional relationships that occur between zero and one also occur between every two consecutive whole numbers.
      • Understand and use mixed numbers and their equivalent fraction forms.

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.