LEARN NC

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

Finding multiplication patterns

http://illuminations.nctm.org/LessonDetail.aspx?ID=L527

A lesson plan for Grades 3–5 Mathematics

Provider: National Council of Teachers of Mathematics

About this resource

Appropriate grades
3–5
Subjects
mathematics (number sense, number theory)
Provider
National Council of Teachers of Mathematics

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Students explore commutative properties, examine patterns when one factor is 6, and record known facts. Reasoning is the process standard applied in this lesson. After reviewing multiplication tables up to the factors of 5 using a skip count. Then, students play a dice game and write multiplication sentences in a multiplication game. Students find number patterns on the Hundreds Chart and color in the boxes in order to show them how to skip count by 6. Students participate in other activities in pairs in order to master multiplication tables through 6.

Students will be able to do the following:

  • Find the products of two one-digit numbers with factors to 5.
  • Skip count by 6.
  • Explore the commutative property of multiplication.
  • Find products on a Multiplication Chart.

NCTM Standards and Expectations covered in this lesson include:

  • Understanding the effects of multiplying and dividing whole numbers.
  • Developing fluency with basic number combinations for multiplication and division and using these combinations to mentally compute related problems, such as 3050.
  • Selecting appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools.

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 1.01: Develop number sense for whole numbers through 9,999.
      • Connect model, number word, and number using a variety of representations.
      • Build understanding of place value (ones through thousands).
      • Compare and order.
    • Objective 1.02: Develop fluency with multi-digit addition and subtraction through 9,999 using:
      • Strategies for adding and subtracting numbers.
      • Estimation of sums and differences in appropriate situations.
      • Relationships between operations.
    • Objective 1.03: Develop fluency with multiplication from 1x1 to 12x12 and division up to two-digit by one-digit numbers using:
      • Strategies for multiplying and dividing numbers.
      • Estimation of products and quotients in appropriate situations.
      • Relationships between operations.
    • Objective 1.04: Use basic properties (identity, commutative, associative, order of operations) for addition, subtraction, multiplication, and division.
    • Objective 1.06: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.

Grade 4

  • Goal 1: Number and Operations - The learner will read, write, model, and compute with non-negative rational numbers.
    • Objective 1.01: Develop number sense for rational numbers 0.01 through 99,999.
      • Connect model, number word, and number using a variety of representations.
      • Build understanding of place value (hundredths through ten thousands).
      • Compare and order rational numbers.
      • Make estimates of rational numbers in appropriate situations.
    • Objective 1.02: Develop fluency with multiplication and division:
      • Two-digit by two-digit multiplication (larger numbers with calculator).
      • Up to three-digit by two-digit division (larger numbers with calculator).
      • Strategies for multiplying and dividing numbers.
      • Estimation of products and quotients in appropriate situations.
      • Relationships between operations.
    • Objective 1.05: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.

Grade 5

  • Goal 1: Number and Operations - The learner will understand and compute with non-negative rational numbers.
    • Objective 1.01: Develop number sense for rational numbers 0.001 through 999,999.
      • Connect model, number word, and number using a variety of representations.
      • Build understanding of place value (thousandths through hundred thousands).
      • Compare and order rational numbers.
      • Make estimates of rational numbers in appropriate situations.
    • Objective 1.03: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.