# MAFS.K12.MP.4.1Archived Standard

Model with mathematics.

Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. In early grades, this might be as simple as writing an addition equation to describe a situation. In middle grades, a student might apply proportional reasoning to plan a school event or analyze a problem in the community. By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.

General Information
Subject Area: Mathematics
Domain-Subdomain: Mathematical Practice
Cluster: Level 3: Strategic Thinking & Complex Reasoning
Date of Last Rating: 02/14
Status: State Board Approved - Archived

## Related Courses

This benchmark is part of these courses.
1200310: Algebra 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200320: Algebra 1 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200330: Algebra 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200340: Algebra 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200370: Algebra 1-A (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200380: Algebra 1-B (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200400: Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1202340: Precalculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1207310: Liberal Arts Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
1201300: Mathematical Analysis Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
1210300: Probability and Statistics Honors (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 and beyond (current))
1211300: Trigonometry Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
1205010: M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1205020: M/J Accelerated Mathematics Grade 6 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 and beyond (current))
1205040: M/J Grade 7 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1205050: M/J Accelerated Mathematics Grade 7 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 and beyond (current))
1205070: M/J Grade 8 Pre-Algebra (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1206300: Informal Geometry (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
1206310: Geometry (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1206320: Geometry Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1206330: Analytic Geometry (Specifically in versions: 2014 - 2015 (course terminated))
5012020: Grade Kindergarten Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
5012030: Mathematics - Grade One (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
5012040: Mathematics - Grade Two (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
5012050: Grade Three Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
5012060: Mathematics - Grade Four (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
5012070: Grade Five Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1298310: Advanced Topics in Mathematics (formerly 129830A) (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
5020010: Science - Grade K (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
5020020: Science Grade One (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
5020030: Science - Grade Two (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
5020040: Science - Grade Three (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
5020050: Science - Grade Four (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
5020060: Science - Grade Five (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002040: M/J Comprehensive Science 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002050: M/J Comprehensive Science 1, Advanced (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002070: M/J Comprehensive Science 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002080: M/J Comprehensive Science 2, Advanced (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002100: M/J Comprehensive Science 3 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002110: M/J Comprehensive Science 3, Advanced (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2001010: M/J Earth/Space Science (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2001020: M/J Earth/Space Science, Advanced (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2000010: M/J Life Science (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2000350: Anatomy and Physiology (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2000360: Anatomy and Physiology Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2001350: Astronomy Solar/Galactic (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2020910: Astronomy Solar/Galactic Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2000310: Biology 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2000320: Biology 1 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2000330: Biology 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
2000430: Biology Technology (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2000370: Botany (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2003340: Chemistry 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2003350: Chemistry 1 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2003360: Chemistry 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2001310: Earth/Space Science (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2001320: Earth/Space Science Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2000380: Ecology (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2001340: Environmental Science (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
2002480: Forensic Science 1 (Specifically in versions: 2014 - 2015, 2015 - 2017, 2017 - 2022, 2022 and beyond (current))
2002490: Forensic Sciences 2 (Specifically in versions: 2014 - 2015, 2015 - 2017, 2017 - 2022, 2022 and beyond (current))
2000440: Genetics Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002400: Integrated Science 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002410: Integrated Science 1 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002420: Integrated Science 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002430: Integrated Science 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002440: Integrated Science 3 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002450: Integrated Science 3 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002500: Marine Science 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002510: Marine Science 1 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002520: Marine Science 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002530: Marine Science 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2020710: Nuclear Radiation Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2003310: Physical Science (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
2003320: Physical Science Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2003380: Physics 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2003390: Physics 1 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2003410: Physics 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2003600: Principles of Technology 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002540: Solar Energy Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2000410: Zoology (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2000020: M/J Life Science, Advanced (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2003010: M/J Physical Science (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2003020: M/J Physical Science, Advanced (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200500: Advanced Algebra with Financial Applications (Specifically in versions: 2014 - 2015 (course terminated))
1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2000800: Florida's Preinternational Baccalaureate Biology 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2003800: Florida's Preinternational Baccalaureate Chemistry 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200410: Mathematics for College Success (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
1200700: Mathematics for College Algebra (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
2002340: Experimental Science 1 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002350: Experimental Science 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002360: Experimental Science 3 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002370: Experimental Science 4 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2120915: Philosophy Honors 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
1100000: M/J Library Skills/Information Literacy (MC) (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
0500300: Executive Internship 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
0500310: Executive Internship 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
0500320: Executive Internship 3 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
0500330: Executive Internship 4 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
0500370: Voluntary Public Service (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
0500500: Personal, Career, and School Development Skills 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
0500510: Personal, Career, and School Development Skills 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
0500520: Personal, Career, and School Development Skills 3 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
0500530: Personal, Career, and School Development Skills 4 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
1700320: Research 3 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1700360: Florida's Preinternational Baccalaureate Inquiry Skills (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712020: Access Mathematics Grade 1 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
7712015: Access Mathematics - Grade Kindergarten (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
7712030: Access Mathematics Grade 2 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
7712040: Access Mathematics Grade 3 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
7712050: Access Mathematics Grade 4 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
7712060: Access Mathematics Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
7812015: Access M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
7812020: Access M/J Grade 7 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
7812030: Access M/J Grade 8 Pre-Algebra (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
7912060: Access Informal Geometry (Specifically in versions: 2014 - 2015 (course terminated))
7912070: Access Mathematics for Liberal Arts (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 - 2023, 2023 and beyond (current))
7912080: Access Algebra 1A (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
7912090: Access Algebra 1B (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
2002055: M/J Comprehensive Science 1 Accelerated Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2002085: M/J Comprehensive Science 2 Accelerated Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2000315: Biology 1 for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2000500: Bioscience 1 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
2000510: Bioscience 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
2000520: Bioscience 3 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
2003345: Chemistry 1 for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200315: Algebra 1 for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200335: Algebra 2 for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2019 (course terminated))
1200375: Algebra 1-A for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200385: Algebra 1-B for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1206315: Geometry for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
2003500: Renewable Energy 1 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
7912100: Fundamental Algebraic Skills (Specifically in versions: 2013 - 2015, 2015 - 2017 (course terminated))
7912105: Fundamental Consumer Mathematics (Specifically in versions: 2013 - 2015, 2015 - 2017 (course terminated))
7912110: Fundamental Explorations in Mathematics 1 (Specifically in versions: 2013 - 2015, 2015 - 2017 (course terminated))
7912115: Fundamental Explorations in Mathematics 2 (Specifically in versions: 2013 - 2015, 2015 - 2017 (course terminated))
1207300: Liberal Arts Mathematics 1 (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
1201315: Analysis of Functions Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
7912065: Access Geometry (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
7912075: Access Algebra 1 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
2003030: M/J STEM Physical Science (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
2002200: M/J STEM Environmental Science (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
2001025: M/J STEM Astronomy and Space Science (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
2000025: M/J STEM Life Science (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
2003836: Florida's Preinternational Baccalaureate Physics 1 (Specifically in versions: 2015 - 2022, 2022 and beyond (current))
7920022: Access Physical Science (Specifically in versions: 2016 - 2018, 2018 - 2023, 2023 and beyond (current))
7912095: Access Algebra 2 (Specifically in versions: 2016 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
1200387: Mathematics for Data and Financial Literacy (Specifically in versions: 2016 and beyond (current))
2001330: Meteorology Honors (Specifically in versions: 2016 - 2019, 2019 - 2022, 2022 and beyond (current))
5002010: Introduction to Computer Science 1 (Specifically in versions: 2016 - 2022, 2022 - 2023, 2023 and beyond (current))
5002020: Introduction to Computer Science 2 (Specifically in versions: 2016 - 2022, 2022 and beyond (current))
0200305: Computer Science Discoveries (Specifically in versions: 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
0200000: M/J Computer Science Discoveries (Specifically in versions: 2018 - 2022, 2022 and beyond (current))
0200010: M/J Computer Science Discoveries 1 (Specifically in versions: 2018 - 2022, 2022 and beyond (current))
0200020: M/J Computer Science Discoveries 2 (Specifically in versions: 2018 - 2022, 2022 and beyond (current))
0200315: Computer Science Principles (Specifically in versions: 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
5012055: Grade 3 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012065: Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012005: Foundational Skills in Mathematics K-2 (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))
1700600: GEAR Up 1 (Specifically in versions: 2020 - 2022, 2022 and beyond (current))
1700610: GEAR Up 2 (Specifically in versions: 2020 - 2022, 2022 and beyond (current))
1700620: GEAR Up 3 (Specifically in versions: 2020 - 2022, 2022 and beyond (current))
1700630: GEAR Up 4 (Specifically in versions: 2020 - 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.

## Perspectives Video: Experts

Birdsong Series: Mathematically Modeling Birdsong:

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Type: Perspectives Video: Expert

Birdsong Series: STEM Team Collaboration :

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Type: Perspectives Video: Expert

Testing New Designs: F-15 Experimental Aircraft:

F-15 Experimental Test Pilot discusses the importance of the iterative process of collecting data, analyzing data and communicating the findings when developing aircraft for the United States Air Force.