Arkansas Mathematics Standards (adopted in 2023): Grade 3
Skills available for Arkansas Grade 3 math standards
Standard
Print skill plan
NPV
Number & Place Value
Place Value: Students understand the base ten place value system.
3.NPV.1 Round four-digit whole numbers to the nearest 10 or 100, using place value understanding.
3.NPV.1 Round four-digit whole numbers to the nearest 10 or 100, using place value understanding.
3.NPV.2 Identify the value of thousands, hundreds, tens, and ones place in a four-digit number.
3.NPV.2 Identify the value of thousands, hundreds, tens, and ones place in a four-digit number.
3.NPV.3 Read and write whole numbers up to 10,000, using base ten numerals, word form, and a variety of expanded forms.
3.NPV.3 Read and write whole numbers up to 10,000, using base ten numerals, word form, and a variety of expanded forms.
Comparison: Students use place value understanding to compare numbers.
3.NPV.4 Compare two four-digit numbers using symbols (<, =, >) based on the value of thousands, hundreds, tens, and ones in the given numbers.
3.NPV.4 Compare two four-digit numbers using symbols (<, =, >) based on the value of thousands, hundreds, tens, and ones in the given numbers.
3.NPV.5 Compare two fractions with the same numerator or denominator by reasoning about their size based on the same whole; use symbols (<, =, >) and justify the conclusion using visual fraction models, concrete objects, or words.
Compare using models
Compare using number lines
Compare fractions
3.NPV.5 Compare two fractions with the same numerator or denominator by reasoning about their size based on the same whole; use symbols (<, =, >) and justify the conclusion using visual fraction models, concrete objects, or words.
Compare using models
Compare using number lines
Compare fractions
Fraction Foundations: Students build a conceptual understanding of fractions.
3.NPV.6 Identify fractions as parts of a whole and parts of a collection or set.
Understand fractions
Show fractions
Fractions of a whole
Fractions of a group
Word problems
3.NPV.6 Identify fractions as parts of a whole and parts of a collection or set.
Understand fractions
Show fractions
Fractions of a whole
Fractions of a group
Word problems
3.NPV.7 Partition squares, regular hexagons, and equilateral triangles into parts with equal shares, explaining the shares of each part as a unit fraction of the whole.
Show fractions
Identify fractions
3.NPV.7 Partition squares, regular hexagons, and equilateral triangles into parts with equal shares, explaining the shares of each part as a unit fraction of the whole.
Show fractions
Identify fractions
3.NPV.8 Identify and represent a unit fraction as a number on the number line.
3.NPV.8 Identify and represent a unit fraction as a number on the number line.
3.NPV.9 Identify and represent a non-unit fraction as a number on the number line, including fractions greater than one.
3.NPV.9 Identify and represent a non-unit fraction as a number on the number line, including fractions greater than one.
3.NPV.10 Decompose and compose a non-unit fraction a/b as the quantity formed by the sum of unit fractions.
3.NPV.10 Decompose and compose a non-unit fraction a/b as the quantity formed by the sum of unit fractions.
Equivalent Fractions: Students develop and apply equivalent fraction understanding.
3.NPV.11 Use number lines and visual models to recognize and generate equivalent fractions, explaining how they are equivalent in real-world and mathematical situations.
Number lines
Visual models
Equivalent fractions
3.NPV.11 Use number lines and visual models to recognize and generate equivalent fractions, explaining how they are equivalent in real-world and mathematical situations.
Number lines
Visual models
Equivalent fractions
CAR
Computation & Algebraic Reasoning
Operations & Properties: Students perform operations using place value understanding and properties of operations.
3.CAR.1 Use computational fluency to add and subtract three-digit whole numbers, using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
Addition
Subtraction
Addition and subtraction
Properties of operations
Relationship between addition and subtraction
3.CAR.1 Use computational fluency to add and subtract three-digit whole numbers, using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
Addition
Subtraction
Addition and subtraction
Properties of operations
Relationship between addition and subtraction
3.CAR.2 Use basic fact fluency to multiply and divide whole numbers with mastery by the end of third grade.
Multiplication skill builders
Multiplication facts for 2, 3, 4, 5, and 10
Multiplication facts for 6, 7, 8, and 9
Multiplication facts up to 12
Division skill builders
Division facts for 2, 3, 4, 5, and 10
Division facts for 6, 7, 8, and 9
Division facts up to 12
3.CAR.2 Use basic fact fluency to multiply and divide whole numbers with mastery by the end of third grade.
Multiplication skill builders
Multiplication facts for 2, 3, 4, 5, and 10
Multiplication facts for 6, 7, 8, and 9
Multiplication facts up to 12
Division skill builders
Division facts for 2, 3, 4, 5, and 10
Division facts for 6, 7, 8, and 9
Division facts up to 12
3.CAR.3 Apply properties of operations as strategies to multiply and divide.
3.CAR.3 Apply properties of operations as strategies to multiply and divide.
3.CAR.4 Use strategies to multiply one-digit numbers by multiples of 10 ranging from 10-90; strategies are based on place value and properties of operations (e.g., 9 ∙ 80, 5 ∙ 60).
3.CAR.4 Use strategies to multiply one-digit numbers by multiples of 10 ranging from 10-90; strategies are based on place value and properties of operations (e.g., 9 ∙ 80, 5 ∙ 60).
3.CAR.5 Identify arithmetic patterns including, but not limited to, patterns in an addition or multiplication table, explaining use of properties of operations appropriate to the pattern.
3.CAR.5 Identify arithmetic patterns including, but not limited to, patterns in an addition or multiplication table, explaining use of properties of operations appropriate to the pattern.
Problem Solving: Students solve real-world problems.
3.CAR.6 Solve real-world problems using multiplication and division within 100 involving equal groups, arrays, partitive and measurement division.
3.CAR.6 Solve real-world problems using multiplication and division within 100 involving equal groups, arrays, partitive and measurement division.
3.CAR.7 Solve two-step real-world situations using addition, subtraction, multiplication, and division, representing these problems using equations with a symbol standing for an unknown quantity.
Two-step word problems
Variable equations
3.CAR.7 Solve two-step real-world situations using addition, subtraction, multiplication, and division, representing these problems using equations with a symbol standing for an unknown quantity.
Two-step word problems
Variable equations
Algebraic Concepts: Students develop and apply an understanding of foundational algebraic concepts.
3.CAR.8 Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
3.CAR.8 Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
3.CAR.9 Understand division as an unknown-factor problem.
3.CAR.9 Understand division as an unknown-factor problem.
GM
Geometry & Measurement
Shapes: Students analyze attributes of shapes to develop generalizations about their properties.
3.GM.1 Understand that quadrilaterals in different categories may share attributes; those attributes (e.g., four equivalent sides) can define a larger category (e.g., quadrilaterals) or subcategory (e.g., rhombus and square).
3.GM.1 Understand that quadrilaterals in different categories may share attributes; those attributes (e.g., four equivalent sides) can define a larger category (e.g., quadrilaterals) or subcategory (e.g., rhombus and square).
3.GM.2 Identify perpendicular and parallel lines, as well as right angles in two-dimensional shapes and real-world surroundings or objects.
3.GM.2 Identify perpendicular and parallel lines, as well as right angles in two-dimensional shapes and real-world surroundings or objects.
3.GM.3 Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, identifying and/or drawing examples of quadrilaterals that do not belong to any of these subcategories.
3.GM.3 Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, identifying and/or drawing examples of quadrilaterals that do not belong to any of these subcategories.
Length & Width: Students investigate measurement using rulers.
3.GM.4 Measure lengths of objects to the nearest half and quarter inch, using a ruler.
3.GM.4 Measure lengths of objects to the nearest half and quarter inch, using a ruler.
Area & Volume: Students calculate the area of rectangles and liquid volume.
3.GM.5 Describe area as the number of unit squares that cover a plane figure without gaps and overlaps.
3.GM.5 Describe area as the number of unit squares that cover a plane figure without gaps and overlaps.
3.GM.6 Find the area of a rectangle with whole number side lengths by modeling with unit squares and multiplying the side lengths to show the results are the same.
3.GM.6 Find the area of a rectangle with whole number side lengths by modeling with unit squares and multiplying the side lengths to show the results are the same.
3.GM.7 Multiply side lengths to find areas of rectangles with whole number side lengths in the context of solving real-world and mathematical problems.
3.GM.7 Multiply side lengths to find areas of rectangles with whole number side lengths in the context of solving real-world and mathematical problems.
3.GM.8 Measure and estimate liquid volumes and masses of objects using standard units.
3.GM.8 Measure and estimate liquid volumes and masses of objects using standard units.
3.GM.9 Solve one-step real-world problems involving liquid volumes and masses of objects in the same units, using all four operations.
3.GM.9 Solve one-step real-world problems involving liquid volumes and masses of objects in the same units, using all four operations.
Time: Students tell time and solve problems about elapsed time.
3.GM.10 Tell and write time to the nearest minute, using analog clocks.
3.GM.10 Tell and write time to the nearest minute, using analog clocks.
3.GM.11 Solve word problems involving addition and subtraction of time intervals in minutes.
3.GM.11 Solve word problems involving addition and subtraction of time intervals in minutes.
DA
Data Analysis
Charts, Graphs, & Tables: Students organize and analyze data.
3.DA.1 Represent a data set with multiple categories, using a scaled picture graph, scaled bar graph, and a line plot.
3.DA.1 Represent a data set with multiple categories, using a scaled picture graph, scaled bar graph, and a line plot.
3.DA.2 Solve one and two-step problems, using categorical data represented with a scaled picture graph, scaled bar graph, and a line plot.
3.DA.2 Solve one and two-step problems, using categorical data represented with a scaled picture graph, scaled bar graph, and a line plot.