Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
Subject Area: Mathematics
Grade: 5
Domain-Subdomain: Operations and Algebraic Thinking
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Analyze patterns and relationships. (Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes


  • Item Type(s): This benchmark will be assessed using: ETC , EE item(s)
  • Assessment Limits :
    Expressions may contain whole numbers or fractions with a denominator of 10 or less. Ordered pairs many only be located within Quadrant I of the coordinate plane. Operations in rules limited to: addition, subtraction, multiplication, and division. Patterns that require division may not lead to fractional terms. Items may not contain rules that exceed two procedural operations. Items must provide the rule. Expressions may not include nested parentheses.
  • Calculator :


  • Context :



  • Test Item #: Sample Item 1
  • Question:

    Michael and John are creating patterns.

    • Michael uses the rule "multiply by 2" and starts at 5.
    • John uses the rule "add 8" and starts at 16.

    What is the first number in Michael's pattern that also appears in John's pattern?

  • Difficulty: N/A
  • Type: EE: Equation Editor

  • Test Item #: Sample Item 2
  • Question:

    Kaiya and Deangelo each create a number pattern.

    • Kaiya's pattern uses the rule "Add 2" and has a first term of 6.
    • Deangelo's pattern uses the rule "Add 4" and has a first term of 5.
    Complete the statement that describes the relationship between the two number patterns. For each blank, fill in the circle before the word or phrase that is correct.

    The two patterns      A. have terms in common because

          B. do not have


    Kaiya's pattern has    A. only odd numbers and

          B. only even

          C. both odd and even 


    Deangelo's pattern has A. only odd numbers.

    B. only even

    C. both odd and even


  • Difficulty: N/A
  • Type: ETC: Editing Task Choice