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

Comparing sets

http://illuminations.nctm.org/LessonDetail.aspx?ID=L36

A lesson plan for grades K–2 Mathematics

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In this lesson, the second of a six-part unit from Illuminations, a children’s book sets the stage for encouraging students to review counting back. Students write subtraction problems and model them with cubes. They then compare sets and record differences in the form of a table. The additive identity is reviewed in the context of comparing equal sets.

North Carolina Curriculum Alignment

Mathematics (2004)

Grade 1

  • Goal 1: Number and Operations - The learner will read, write, and model whole numbers through 99 and compute with whole numbers.
    • Objective 1.01: Develop number sense for whole numbers through 99.
      • Connect the model, number word, and number using a variety of representations.
      • Use efficient strategies to count the number of objects in a set.
      • Read and write numbers.
      • Compare and order sets and numbers.
      • Build understanding of place value (ones, tens).
      • Estimate quantities fewer than or equal to 100.
      • Recognize equivalence in sets and numbers 1-99.
    • Objective 1.03: Develop fluency with single-digit addition and corresponding differences using strategies such as modeling, composing and decomposing quantities, using doubles, and making tens.
    • Objective 1.04: Create, model, and solve problems that use addition, subtraction, and fair shares (between two or three).

Grade 2

  • Goal 1: Number and Operations - The learner will read, write, model, and compute with whole numbers through 999.
    • Objective 1.01: Develop number sense for whole numbers through 999.
      • Connect model, number word, and number using a variety of representations.
      • Read and write numbers.
      • Compare and order.
      • Rename.
      • Estimate.
      • Use a variety of models to build understanding of place value (ones, tens, hundreds).
    • Objective 1.03: Create, model, and solve problems that involve addition, subtraction, equal grouping, and division into halves, thirds, and fourths (record in fraction form).
    • Objective 1.05: Create and solve problems using strategies such as modeling, composing and decomposing quantities, using doubles, and making tens and hundreds.

Kindergarten

  • Goal 1: Number and Operations - The learner will recognize, model, and write whole numbers through 30.
    • Objective 1.01: Develop number sense for whole numbers through 30.
      • Connect model, number word (orally), and number, using a variety of representations.
      • Count objects in a set.
      • Read and write numerals.
      • Compare and order sets and numbers.
      • Use ordinals (1st-10th).
      • Estimate quantities fewer than or equal to 10.
      • Recognize equivalence in sets and numbers 1-10.