Grade 3 Math (Virginia SOL)

Number and Number Sense (NS)

• 3.NS.1 Use place value to read, write, and identify the place and value of digits in whole numbers up to six digits.
• Read and write six-digit numbers in standard, expanded, and word form.
• Apply base-10 patterns to name the place and value of each digit.
• Compose and decompose numbers up to 9,999 in multiple place-value ways.
• 3.NS.2 Use base 10 understanding to compare and order whole numbers up to 9,999.
• Compare two whole numbers up to 9,999 using symbols or words.
• Order up to three whole numbers least to greatest and greatest to least.
• 3.NS.3 Represent and compare fractions and mixed numbers with denominators 2, 3, 4, 5, 6, 8 and 10, including in context.
• Represent and name fractions using area, length, and set models.
• Express a modeled fraction as a sum of unit fractions.
• Name fractions greater than one as improper fractions and mixed numbers.
• Compose and decompose fractions in multiple ways using models.
• Compare fractions up to one with benchmarks 0, one-half, and 1.
• Compare fractions with like numerators using symbols, words, and models.
• Compare fractions with like denominators using symbols, words, and models.
• Represent equivalent fractions with area and length models.
• 3.NS.4 Count, compare, represent, and make change with money amounts up to $5.00 in context.
• Find the total value of bills and coins up to $5.00.
• Build a set of bills and coins totaling a given amount up to $5.00.
• Compare two money sets up to $5.00 using symbols or words.
• Make change from $5.00 or less by counting on or back.

Computation and Estimation (CE)

• 3.CE.1 Estimate, solve, and justify single- and multistep addition and subtraction problems with numbers up to 1,000.
• Decide whether an estimate or an exact answer suits a problem, and justify.
• Estimate sums and differences using rounding, compatible numbers, or other relationships.
• Compute sums and differences using place value, properties, and the standard algorithm.
• Use the correct symbol to show expressions are equal or not equal.
• Represent, solve, and justify contextual addition and subtraction problems up to 1,000.
• 3.CE.2 Recall multiplication and division facts through 10 × 10 and solve single-step contextual problems.
• Represent multiplication and division through 10 × 10 with varied models and approaches.
• Use inverse relationships to write related multiplication and division facts.
• Apply place value and properties when multiplying and dividing whole numbers.
• Use reasoning strategies (e.g. doubling, near squares) to build fluency with facts through 10 × 10.
• Represent, solve, and justify single-step contextual multiplication and division problems.
• Recall multiplication facts through 10 × 10 and matching division facts automatically.
• Write equations showing equivalent expressions using multiplication or division facts.

Measurement and Geometry (MG)

• 3.MG.1 Estimate and measure length, weight/mass, and liquid volume in U.S. Customary and metric units.
• Justify whether an estimate or exact measure is needed and choose a suitable unit.
• Estimate and measure length, weight/mass, and liquid volume to the nearest specified unit.
• Compare estimates with actual measurements.
• 3.MG.2 Use multiple representations to estimate and solve area and perimeter problems.
• Find area by counting square units and describe the measurement.
• Find the perimeter of polygons with up to six sides by measuring or adding side lengths.
• 3.MG.3 Tell time to the nearest minute and solve elapsed-time problems in one-hour increments.
• Tell and write time to the nearest minute on analog and digital clocks.
• Match written times to analog and digital clock displays.
• Solve whole-hour elapsed-time problems within 12 hours, finding the start, end, or elapsed time.
• 3.MG.4 Identify, describe, classify, compare, combine, and subdivide polygons.
• Describe a polygon as a closed plane figure of non-crossing line segments.
• Classify figures as polygons or non-polygons and justify reasoning.
• Identify triangles, quadrilaterals, pentagons, hexagons, and octagons in any orientation.
• Find and name polygons in the environment.
• Classify and compare polygons by their characteristics.
• Combine up to three triangles or quadrilaterals and name the resulting polygon.
• Subdivide a triangle or quadrilateral into up to three parts and name them.

Probability and Statistics (PS)

• 3.PS.1 Apply the data cycle with pictographs and bar graphs.
• Formulate questions that require collecting or acquiring data.
• Determine needed data and collect it (30 or fewer data points, eight or fewer categories).
• Organize data in pictographs with title, labeled axes, and key (each symbol 1, 2, 5, or 10).
• Organize data in bar graphs with title, labeled axes, and a suitable scale.
• Analyze graphs: describe data, infer, conclude, predict, and solve one- and two-step problems.

Patterns, Functions, and Algebra (PFA)

• 3.PFA.1 Identify, describe, extend, and create increasing and decreasing patterns using addition and subtraction.
• Identify and describe patterns using objects, pictures, numbers, and number lines.
• Generalize the change to extend a pattern or find missing terms.
• Solve contextual problems involving identifying, describing, and extending patterns.
• Create increasing and decreasing patterns with objects, pictures, numbers, or number lines.
• Explain the connection between two representations of the same pattern.