Mathematical Process StandardsMPS

  • 1

    Problem SolvingMPS.PS

    1. 1a

      Make sense of problems and persevere in solving them strategically.MPS.PS.1

  • 2

    Representation & CommunicationMPS.RC

    1. 2a

      Explain ideas using precise and contextually appropriate mathematical language, tools, and models.MPS.RC.1

  • 3

    ConnectionsMPS.C

    1. 3a

      Demonstrate a deep and flexible conceptual understanding of mathematical ideas, operations, and relationships while making real-world connections.MPS.C.1

  • 4

    Analyze & JustifyMPS.AJ

    1. 4a

      Use critical thinking skills to reason both abstractly and quantitatively.Identify and apply regularity in repeated reasoning to make generalizations.MPS.AJ.1

  • 5

    Structures & PatternsMPS.SP

    1. 5a

      Identify and apply regularity in repeated reasoning to make generalizations.MPS.SP.1

Data, Probability, and Statistical Reasoning3.DPSR

  • 1

    Collect and analyze data and communicate through multiple representations.3.DPSR.1.

    1. 1a

      Collect and organize categorical and numerical data based on observations, surveys, experiments, and investigations with whole number values using tables, scaled picture graphs, scaled bar graphs, or dot plots. Use titles and labels. Limit scales to multiples of 1, 2, 5, and 10.3.DPSR.1.1

    2. 1b

      Solve one-step, real-world situations using whole number data represented in tables, scaled picture graphs, scaled bar graphs, or dot plots. Limit scales to multiples of 1, 2, 5, and 10.3.DPSR.1.2

  • 2

    Represent the probability of simple events and determine possible outcomes.3.DPSR.2.

    1. 2a

      Identify the possible outcomes of a simple event.3.DPSR.2.1

Measurement, Geometry, and Spatial Reasoning3.MGSR

  • 1

    Solve area and perimeter problems in real-world and mathematical situations.3.MGSR.1.

    1. 1a

      Determine the area of squares and rectangles presented in relevant problems by covering the space with square units and counting the total number of units needed.3.MGSR.1.1

    2. 1b

      Determine the perimeter of regular and irregular triangles and quadrilaterals with known side lengths.3.MGSR.1.2

    3. 1c

      Determine if a real-world situation is an example of the need for finding the area or the perimeter of a figure.3.MGSR.1.3

  • 2

    Estimate and measure using units of length, liquid volume, currency, and intervals of time.3.MGSR.2.

    1. 2a

      Determine the value of any collection of coins, not to exceed $5. Write the amount in the form of dollars and cents using the decimal notation. Limit to penny, nickel, dime, and quarter.3.MGSR.2.1

    2. 2b

      Use analog and digital clocks to tell and record time to 1-minute intervals, identifying AM and PM.3.MGSR.2.2

    3. 2c

      Solve problems involving addition and subtraction of time intervals to determine elapsed time to the nearest half hour.3.MGSR.2.3

    4. 2d

      Estimate and measure length/distance to the nearest half inch and nearest whole centimeter.3.MGSR.2.4

    5. 2e

      Determine which unit of liquid volume is most appropriate to measure in real-world situations. Limit to fluid ounces, cups, pints, quarts, gallons, milliliters, and liters.3.MGSR.2.5

  • 3

    Extend geometric reasoning to attributes of polygons and/or polyhedrons.3.MGSR.3. 

    1. 3a

      Describe and draw right, acute, obtuse, and straight angles. Identify these angle types in two-dimensional figures including triangles and quadrilaterals.3.MGSR.3.1 

    2. 3b

      Identify, describe, and draw points, lines, line segments, rays, intersecting lines, perpendicular lines, and parallel lines. Identify these in two-dimensional figures.3.MGSR.3.2 

Numerical Reasoning3.NR

  • 1

    Represent and compare numbers using relationships within the base ten number system.3.NR.1.

    1. 1a

      Read, write, and represent whole numbers through the thousands period (0 to 999,999) on a number line and in standard, base ten language, word, and equations in expanded form.3.NR.1.1

    2. 1b

      Compose and decompose 4-digit whole numbers in multiple ways using thousands, hundreds, tens, and ones.3.NR.1.2

    3. 1c

      Compare two whole numbers up to 999,999 based on the place value of the digits using the symbols for is equal to (=), is less than (<), or is greater than (>).3.NR.1.3

    4. 1d

      Round whole numbers from 0 to 1,000 to the nearest 10 or 100.3.NR.1.4

  • 2

    Represent and compare fractions in multiple ways using part-whole relationships.3.NR.2.

    1. 2a

      Identify unit fractions as the quantity formed by one part when a whole is partitioned into 2, 3, 4, 6, or 8 equal-sized parts. Express each part as a unit fraction of the whole.3.NR.2.1

    2. 2b

      Represent fractions from 0 to 1 using concrete, set, area, and linear models, and write them in standard form and word form. Limit denominators to 2, 3, 4, 6, and 8.3.NR.2.2

    3. 2c

      Express whole numbers as fractions and identify fractions that are equivalent to whole numbers. Limit denominators to 1, 2, 3, 4, 6, and 8.3.NR.2.3

    4. 2d

      Compose fractions between the whole numbers 0 and 5 using unit fractions. Record the composition as a mixed number or fraction greater than 1. Limit denominators to 2, 3, 4, 6, and 8.3.NR.2.4

    5. 2e

      Recognize two fractions are equivalent based on the same size whole. Limit denominators to 2, 3, 4, 6, and 8, and fractions should be limited to fractions between 0 and 1.3.NR.2.5

    6. 2f

      Compare two fractions with the same numerator or same denominator based on the same size whole by reasoning about their size. Use the symbols for is equal to (=), is less than (<), or is greater than (>). Limit denominators to 2, 3, 4, 6, and 8, and fractions should be limited to fractions between 0 and 1.3.NR.2.6

Patterns, Algebra, and Functional Reasoning3.PAFR

  • 1

    Use multiple representations to reason and solve problems involving operational properties of whole numbers.3.PAFR.1.

    1. 1a

      Use a strategy to compute sums and differences up to 1,000.3.PAFR.1.1

    2. 1b

      Multiply whole numbers (factors 0–10) and divide whole numbers (divisors 1–10) using a model and write a corresponding equation.3.PAFR.1.2

    3. 1c

      Multiply two whole numbers from 0 to 10 and divide using related facts flexibly and accurately.3.PAFR.1.3

  • 2

    Use reasoning to represent and solve algebraic and numerical situations.3.PAFR.2.

    1. 2a

      Determine the unknown whole number in a multiplication or division real-world situation relating three whole numbers when the unknown is a missing factor, product, dividend, divisor, or quotient.3.PAFR.2.1

    2. 2b

      Solve one- and two-step real-world situations using addition and subtraction up to 1,000.3.PAFR.2.2

    3. 2c

      Identify, create, and extend numerical patterns to determine the next three terms in an addition or subtraction sequence.3.PAFR.2.3

    4. 2d

      Recognize that a whole number is a multiple of each of its factors 1–10.3.PAFR.2.4

Frequently asked questions

What grade levels do these standards cover?
Grade 3