Common Planner
Sign InCreate My Free Account!
Sign InCreate My Free Account!
K–12 Standards

Technical Math

Other Arkansas Mathematics Standards sets

Mathematical Processes & ModelingMPM

  •  

    Mathematical Processes & Modeling: Students use mathematical processes and models to acquire, demonstrate, and communicate mathematical understanding in real-world scenarios. 

    1. 1

      Apply mathematics to problems arising in everyday life, workplace, and society.TM.MPM.1

    2. 2

      Use mathematical processes with algebraic formulas, numerical techniques, and graphs to solve real-world scenarios. TM.MPM.2

    3. 3

      Create mathematical models and use problem-solving skills, independently and as a collaborative team, for real-world scenarios to:TM.MPM.3

      1. 1

        Analyze given information or dataTM.MPM.3.1

      2. 2

        Identify patterns or relationshipsTM.MPM.3.2

      3. 3

        Formulate a plan or strategyTM.MPM.3.3

      4. 4

        Estimate solutionsTM.MPM.3.4

      5. 5

        Determine a solutionTM.MPM.3.5

      6. 6

        Justify a solution and its reasonableness TM.MPM.3.6

      7. 7

        Describe limitations TM.MPM.3.7

      8. 8

        Identify how results are affected by changing parametersTM.MPM.3.8

      9. 9

        Suggest improvementsTM.MPM.3.9

    4. 4

      Select appropriate tools and techniques to solve problems.TM.MPM.4

    5. 5

      Demonstrate effective use of resources.TM.MPM.5

    6. 6

      Use precise mathematical language and multiple representations to organize, record, and communicate mathematical ideas or solutions to solve real-world scenarios independently and collaboratively. TM.MPM.6

Numerical & Proportional Reasoning NPR

  •  

    Model with Estimation: Students use estimation to solve real-world problems and assess the reasonableness of a solution. 

    1. 1

      Use estimation to identify the most reasonable mathematical solution.TM.NPR.1

    2. 2

      Use estimation and precision in real-world scenarios. TM.NPR.2

  •  

    Proportional Reasoning: Students understand and reason about relationships between quantities. 

    1. 3

      Solve real-world problems and interpret results involving calculations with percentages, decimals, and fractions.TM.NPR.3

      1. 1

        Calculations include: conversions, percent change, and percent of quantities TM.NPR.3.1

    2. 4

      Recognize, set up, and solve proportions from real-world scenarios.TM.NPR.4

    3. 5

      Utilize real-world scenarios requiring interpretation and comparison of various representations of rates, ratios, and proportions including scale drawings. TM.NPR.5

  •  

    Comparison: Students use number sense and proportional reasoning to draw conclusions and communicate results. 

    1. 6

      Compare magnitudes of numbers in context in different forms.TM.NPR.6

    2. 7

      Use dimensional analysis to solve problems involving multiple units of measurement. TM.NPR.7

Algebraic Relationships AR

  •  

    Model with Functions: Students use mathematical concepts of algebra to explain linear and nonlinear applications in real-world scenarios.

    1. 1

      Analyze and apply rate of change in terms of real-world scenarios.TM.AR.1

    2. 2

      Use concepts of systems of equations and inequalities to model and solve real-world scenarios.TM.AR.2

    3. 3

      Use linear programming with or without the use of technology to:TM.AR.3

      1. 1

        Maximize or minimize (optimize) linear objective function in real-world scenarios. TM.AR.3.1

      2. 2

        Determine the reasonableness of solutions.TM.AR.3.2

  •  

    Model with Data: Students use data to make decisions and predictions.

    1. 4

      Collect and organize data, independently and as a collaborative team, to create appropriate graphical representations of real-world scenarios.TM.AR.4

      1. 1

        Interpret graphical representations.TM.AR.4.1

      2. 2

        Make predictions and decisions based on representations.TM.AR.4.2

      3. 3

        Analyze results based on representations. TM.AR.4.3

    2. 5

      Create, interpret, and analyze best-fit models of linear and exponential functions to solve real-world scenarios.TM.AR.5

      1. 1

        Interpret the constants, coefficients, and bases in the context of the data.TM.AR.5.1

      2. 2

        Check the model for best fit and use the model, where appropriate, to draw conclusions or make predictions. TM.AR.5.2

MeasurementMS

  •  

    Measurement & Measurement Tools: Students apply measurement and use measurement tools in real-world scenarios. 

    1. 1

      Convert between and within the metric system and the U.S. customary system in real-world scenarios. TM.MS.1

    2. 2

      Demonstrate mastery of utilizing measuring devices: TM.MS.2

      1. 1

        Apply accurate readings of both metric and the U.S. customary measuring devices to a problem situation. TM.MS.2.1

      2. 2

        Select and use appropriate measuring devices and understand the limitations of such devices for realworld scenarios.TM.MS.2.2

    3. 3

      Determine and use appropriate unit labels for real-world scenarios. TM.MS.3

      1. 1

        Unit labels include: length, weight, capacity, distance, temperature, time, surface area, volume, area, and perimeterTM.MS.3.1

GeometryGEO

  •  

    Model with Geometric Figures: Students will extend geometric reasoning and model with geometric figures. 

    1. 1

      Identify common geometric figures in order to identify what formulas are needed to solve situational problems.TM.GEO.1

    2. 2

      Compute measurements of common geometric figures such as area, surface area, volume, perimeter, and circumference for real-world scenarios.TM.GEO.2

    3. 3

      Analyze how changing dimensions will affect the perimeter, circumference, area, surface area, or volume in real-world scenarios.TM.GEO.3

    4. 4

      Determine the role angles play in a situational problem. TM.GEO.4

    5. 5

      Draw and interpret technical drawings involving house plans, engineering drawings, or fashion design with or without the use of technology.TM.GEO.5

      1. 1

        Views include: auxiliary, orthographic, and isometricTM.GEO.5.1

  •  

    Model with Triangles: Students will apply geometric reasoning to triangles in real-world scenarios.

    1. 6

      Use trigonometric ratios to calculate angles and lengths of sides in real-world scenarios.TM.GEO.6

    2. 7

      Apply right-triangle relationships using Pythagorean Theorem, special right triangles, and trigonometry in real world scenarios.TM.GEO.7

  •  

    Visualizing Solid Shapes: Students will extend understanding of solid figures with and without technology.

    1. 8

      Demonstrate mastery of manipulating 2D and 3D figures. TM.GEO.8

      1. 1

        Use cross-sections of 3D shapes to relate to 2D figures. TM.GEO.8.1

      2. 2

        Use revolutions of 2D shapes to create a 3D object or space. TM.GEO.8.2

  •  

    Model with Transformations: Students will apply transformations to real-world scenarios.

    1. 9

      Describe the transformation of polygons in the coordinate plane as they relate to real-world scenarios:TM.GEO.9

      1. 1

        Transformations include: translation, reflection, rotation, and dilationTM.GEO.9.1

Frequently asked questions

What grade levels do these standards cover?
Grade 9, Grade 10, Grade 11, and Grade 12
Where can I read the official document?
ARKANSAS MATHEMATICS STANDARDS

Find this useful?

If so, you'll love the standards search built into Common Planner.

Keep exploring

Keep exploring Mathematics Standards standards

Sibling grade bands, other subjects in this jurisdiction, and the same subject across other states.

Mathematics Standards in other jurisdictions

Mathematics Standards