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

Learning about number relationships and properties of numbers using calculators and hundred boards

http://standards.nctm.org/document/eexamples/chap4/4.5/

A lesson plan for grades K–2 Mathematics

Provider: National Council of Teachers of Mathematics


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Building on students’ intuitive understandings of patterns and number relationships, teachers can further the development of number concepts and logical reasoning as described in the Number and Operations and Reasoning and Proof Standards. In this two-part example virtual hundred boards and calculators furnish a visual way of highlighting and displaying various patterns and relationships among numbers. Using calculators and hundred boards together, teachers can encourage students to communicate their thinking with others, as discussed in the Communication Standard.

In the first part, Displaying Number Patterns, the same patterns are displayed on a calculator and on a hundred board simultaneously. In the second part, Patterns to 100 and Beyond, students examine number patterns, using a calculator to move beyond 100.

E-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math investigations.

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 1.02: Use groupings of 2's, 5's, and 10's with models and pictures to count collections of objects.
  • Goal 5: Algebra - The learner will demonstrate an understanding of classification and patterning.
    • Objective 5.03: Create and extend patterns, identify the pattern unit, and translate into other forms.

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 1.05: Create and solve problems using strategies such as modeling, composing and decomposing quantities, using doubles, and making tens and hundreds.
  • Goal 5: Algebra - The learner will recognize and represent patterns and simple mathematical relationships.
    • Objective 5.01: Identify, describe, translate, and extend repeating and growing patterns.

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.
    • Objective 1.03: Solve problems and share solutions to problems in small groups.
  • Goal 5: Algebra - The learner will model simple patterns and sort objects.
    • Objective 5.02: Create and extend patterns with actions, words, and objects.