MA.3.A.6.1Archived Standard

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Represent, compute, estimate, and solve problems using numbers through hundred thousands.

Remarks

Instructional focus should be placed on estimation through mental computation prior to written calculations.

Students should be able to represent numbers with flexibility. For instance, 947 can be thought of as 9 hundreds 4 tens 7 ones, or as 94 tens 7 ones, or as 8 hundreds 14 tens 7 ones.

General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 3
Body of Knowledge: Algebra
Idea: Level 3: Strategic Thinking & Complex Reasoning
Supporting Idea: Number and Operations - Number and Operations
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 3: Strategic Thinking & Complex Reasoning - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications
  • Item Type(s): This benchmark may be assessed using: MC item(s)

  • Clarification :
    Students will represent, identify, compare, and/or order numbers through the hundred thousands place in real-world contexts.

    Students will compute sums and differences of numbers through the hundred thousands.

    Students may use some of the following estimation strategies: chunking, using a reference, unitizing, benchmarks, clustering, reasonableness, compatible numbers, grouping, rounding, etc., when representing and computing numbers through the hundred thousands.
  • Content Limits :
    Numbers may be represented flexibly; for example: 947 can be thought of as 9 hundreds, 4 tens, and 7 ones; 94 tens and 7 ones; or 8 hundreds, 14 tens, and 7 ones. 

    Items may include the inequality symbols (>, <, =, ). 

    Items will not require the estimation strategy to be named. 

    Front-end estimation will not be an acceptable estimation strategy. 

    Decimals may be used in the context of money that estimate to a whole dollar.

  • Stimulus Attributes :
    Items should be set in a real-world context.
  • Response Attributes :
    Responses may include actual calculations, estimates, or ranges of numbers.
Sample Test Items (1)
  • Test Item #: Sample Item 1
  • Question: Ms. Tanaka is ordering calendars for the students at 4 elementary schools. The table below shows the number of students at each of the schools.

    STUDENTS IN ELEMENTARY SCHOOLS

    Name of School
    Number of Students
    Greendale
    1,789
    Jones Park
    1,032
    Shady River
    2,115
    Wakefield
    1,992

    Which is the best estimate of the total number of calendars Ms. Tanaka needs to order for all 4 schools?
  • Difficulty: N/A
  • Type: MC: Multiple Choice

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.

Lesson Plans

Perfect Pool Plans:

In this Model Eliciting Activity, MEA, students will create a procedure for ranking pool construction companies based on the number of years in business, customer satisfaction, and available pool dimensions. In a “twist,” students will be given information about discounts available by each company. Students will evaluate their procedure for ranking and change it if necessary.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student-centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

How Many Seeds in a Pumpkin?:

In this hands-on math exploration, students will use knowledge of estimation and multiplication to develop strategies for estimating how many seeds are in a medium-sized pumpkin.

Type: Lesson Plan

Teaching Idea

More Place Value Activities:

This webpage contains instructions for several activities and games designed to develop students' understanding of place value while reinforcing addition and subtraction skills. Downloadable materials and suggestions for variations are included along with links to online games. This is the second of two pages of similar activities. The first, Place Value Activities, is cataloged separately.

Type: Teaching Idea

STEM Lessons - Model Eliciting Activity

Perfect Pool Plans:

In this Model Eliciting Activity, MEA, students will create a procedure for ranking pool construction companies based on the number of years in business, customer satisfaction, and available pool dimensions. In a “twist,” students will be given information about discounts available by each company. Students will evaluate their procedure for ranking and change it if necessary.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student-centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

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.