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

Counting back and counting on

http://illuminations.nctm.org/LessonDetail.aspx?ID=L103

A lesson plan for grades K–2 Mathematics

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This lesson, one of a six-part unit from Illuminations titled “Links Away,” focuses on the counting model for subtraction. Students model numbers as a counting book is read. They then make a chain of links and write in vertical and horizontal format the differences suggested by adding and subtracting one link at a time from their chains. Finally, they draw a chain showing one link being taken away and write in two formats the difference it represents.

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.