MAFS.5.OA.2.3Archived Standard

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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.
General Information
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
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications

  • 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 :

    No

  • Context :

    Allowable

Sample Test Items (2)
  • 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

Related Courses

This benchmark is part of these courses.
5012070: Grade Five Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712060: Access Mathematics Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5001060: Art - Intermediate 3 (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 and beyond (current))
5012065: Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Educational Software / Tool

Free Graph Paper:

A variety of graph paper types for printing, including Cartesian, polar, engineering, isometric, logarithmic, hexagonal, probability, and Smith chart.

Type: Educational Software / Tool

Formative Assessments

Choo Choo Trains Company:

Students are asked to fill in missing values in a table of numerical patterns and describe relationships between corresponding terms.

Type: Formative Assessment

Comic Books:

Students are asked to complete one of two number patterns, write ordered pairs composed of corresponding terms, graph the ordered pairs, and identify a relationship between corresponding terms of the patterns.

Type: Formative Assessment

Generating Two Patterns:

Students are given two rules and are asked to generate patterns.

Type: Formative Assessment

Exploring Related Patterns:

Students are asked to complete one of two number patterns, write ordered pairs composed of corresponding terms, graph the ordered pairs, and identify a relationship between corresponding terms of the patterns.

Type: Formative Assessment

Lesson Plan

Cool School:

In this lesson, students will take an imaginary trip to my lake house. They will solve a variety of real life word problems. Once at the lake they will experience many activities where they will need number sense. For the assessment, students will record and analyze data in order to determine who the best angler was at "Cool School."

Type: Lesson Plan

Perspectives Video: Teaching Idea

The Mathematics of Juggling: Patterns, Rules, and Siteswap Notation:

Sometimes it is difficult to juggle math concepts. See how patterns can help.

Type: Perspectives Video: Teaching Idea

MFAS Formative Assessments

Choo Choo Trains Company:

Students are asked to fill in missing values in a table of numerical patterns and describe relationships between corresponding terms.

Comic Books:

Students are asked to complete one of two number patterns, write ordered pairs composed of corresponding terms, graph the ordered pairs, and identify a relationship between corresponding terms of the patterns.

Exploring Related Patterns:

Students are asked to complete one of two number patterns, write ordered pairs composed of corresponding terms, graph the ordered pairs, and identify a relationship between corresponding terms of the patterns.

Generating Two Patterns:

Students are given two rules and are asked to generate patterns.

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.