Virginia
Skills available for Virginia fourth-grade math standards
Standards are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practice that skill.
Show alignments for:
- Virginia Curriculum Framework Virginia Curriculum Framework
- Virginia Standards of Learning (2016) Virginia Standards of Learning (2016)
Actions
NS Number and Number Sense
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NS.4.1 The student will
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NS.4.1.a read, write, and identify the place and value of each digit in a nine-digit whole number;
- Place value models (4-A.1)
- Convert between standard and expanded form (4-A.2)
- Value of a digit (4-A.3)
- Relationship between place values (4-A.4)
- Convert between place values (4-A.5)
- Identify place value names (4-A.6)
- Place value review (4-A.7)
- Writing numbers up to one billion in words: convert words to digits (4-A.14)
- Writing numbers up to one billion in words: convert digits to words (4-A.15)
- Spell word names for numbers up to one million (4-A.16)
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NS.4.1.b compare and order whole numbers expressed through millions; and
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NS.4.1.c round whole numbers expressed through millions to the nearest thousand, ten thousand, and hundred thousand.
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NS.4.2 The student will
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NS.4.2.a compare and order fractions and mixed numbers, with and without models;
- Compare fractions with like numerators or denominators using models (4-O.14)
- Graph and compare fractions with like numerators or denominators on number lines (4-O.15)
- Compare fractions with like numerators or denominators (4-O.16)
- Compare fractions using models (4-O.17)
- Benchmark fractions (4-O.18)
- Compare fractions using benchmarks (4-O.19)
- Compare fractions using benchmarks: find the missing numerator (4-O.20)
- Compare fractions (4-O.21)
- Compare fractions: find the missing numerator or denominator (4-O.22)
- Compare fractions in recipes (4-O.23)
- Graph and order fractions on number lines (4-O.24)
- Order fractions with like numerators or denominators (4-O.25)
- Order fractions (4-O.26)
- Compare mixed numbers (4)
- Compare mixed numbers and improper fractions (4)
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NS.4.2.b represent equivalent fractions; and
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NS.4.2.c identify the division statement that represents a fraction, with models and in context.
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NS.4.3 The student will
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NS.4.3.a read, write, represent, and identify decimals expressed through thousandths;
- What decimal number is illustrated? (4-S.1)
- Place value models for decimal numbers (4-S.3)
- Understanding decimals expressed in words (4-S.4)
- Place values in decimal numbers (4-S.5)
- One-tenth or one-hundredth more or less (4-S.6)
- Graph decimals on number lines (4-S.8)
- Decimal number lines (4-S.9)
- Value of a digit in a decimal number (4)
- Expanded form for decimals (4)
- Relate decimals and money (4)
- Model decimals (4)
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NS.4.3.b round decimals to the nearest whole number;
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NS.4.3.c compare and order decimals; and
- Compare decimals using models (4-S.16)
- Compare decimals on number lines (4-S.17)
- Compare decimal numbers (4-S.18)
- Put decimal numbers in order I (4-S.19)
- Put decimal numbers in order II (4-S.20)
- Compare decimals using place value blocks (4)
- Put decimal numbers in order using models (4)
- Put decimal numbers less than one in order (4)
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NS.4.3.d given a model, write the decimal and fraction equivalents.
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CE Computation and Estimation
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CE.4.4 The student will
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CE.4.4.a demonstrate fluency with multiplication facts through 12 x 12, and the corresponding division facts;
- Division facts up to 12: find the missing number (4)
- Multiplication facts to 12 (4-D.4)
- Multiplication facts to 12: find the missing factor (4-D.5)
- Choose the multiples of a given number up to 12 (4-D.6)
- Choose numbers with a particular product (4-D.8)
- Division facts to 12 (4-E.3)
- Choose numbers with a particular quotient (4-E.21)
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CE.4.4.b estimate and determine sums, differences, and products of whole numbers;
- Addition: fill in the missing digits (4-B.5)
- Properties of addition (4-B.6)
- Addition patterns over increasing place values (4-B.8)
- Choose numbers with a particular sum (4-B.9)
- Estimate sums (4-B.10)
- Estimate sums: word problems (4-B.11)
- Subtraction patterns over increasing place values (4-C.6)
- Choose numbers with a particular difference (4-C.7)
- Estimate differences (4-C.8)
- Estimate differences: word problems (4-C.9)
- Multiply 1-digit numbers by teen numbers using grids (4-D.12)
- Multiply 1-digit numbers by 2-digit numbers using area models I (4-D.13)
- Multiply 1-digit numbers by 2-digit numbers using area models II (4-D.14)
- Multiply 1-digit numbers by 2-digit numbers (4-D.15)
- Multiply by 10 or 100 (4-D.26)
- Multiplication patterns over increasing place values (4-D.27)
- Multiply using the distributive property (4-D.30)
- Estimate products: multiply by 1-digit numbers (4-D.32)
- Estimate products: multiply by 2-digit numbers (4-D.33)
- Estimate products: word problems (4-D.34)
- Estimate products word problems: identify reasonable answers (4-D.35)
- Multiply 2-digit numbers by 2-digit numbers using area models I (4-D.36)
- Multiply 2-digit numbers by 2-digit numbers using area models II (4-D.37)
- Multiply 2-digit numbers by 2-digit numbers using partial products (4-D.38)
- Multiply a 2-digit number by a 2-digit number: complete the missing steps (4-D.41)
- Multiply a 2-digit number by a 2-digit number (4-D.42)
- Add two numbers up to six digits (4)
- Subtract numbers up to six digits (4)
- Subtraction: find the missing digits (4)
- Multiply 1-digit numbers by 2-digit numbers using partial products (4)
- Multiply using properties (4)
- Properties of multiplication (4)
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CE.4.4.c estimate and determine quotients of whole numbers, with and without remainders; and
- Properties of division (4-E.5)
- Divide 2-digit numbers by 1-digit numbers using arrays (4-E.6)
- Divide 2-digit numbers by 1-digit numbers using area models (4-E.7)
- Divide using repeated subtraction (4-E.8)
- Divide using the distributive property (4-E.9)
- Divide 2-digit numbers by 1-digit numbers (4-E.11)
- Divide 2-digit numbers by 1-digit numbers: complete the table (4-E.13)
- Divide 3-digit numbers by 1-digit numbers using area models (4-E.15)
- Divide using partial quotients (4-E.16)
- Division patterns over increasing place values (4-E.22)
- Estimate quotients using compatible numbers: 1-digit divisors (4-E.24)
- Divide 2-digit numbers by 1-digit numbers: pick the better estimate (4)
- Pick the model that shows a division expression (4)
- Divide 3-digit numbers by 1-digit numbers (4)
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CE.4.4.d create and solve single-step and multistep practical problems involving addition, subtraction, and multiplication, and single-step practical problems involving division with whole numbers.
- Compare numbers using multiplication: word problems (4-D.11)
- Multiply 1-digit numbers by 2-digit numbers: word problems (4-D.16)
- Multiply 1-digit numbers by 2-digit numbers: multi-step word problems (4-D.17)
- Multiply 1-digit numbers by 3-digit or 4-digit numbers: multi-step word problems (4-D.24)
- Multiply a 2-digit number by a 2-digit number: word problems (4-D.43)
- Multiply a 2-digit number by a 2-digit number: multi-step word problems (4-D.44)
- Divide 2-digit numbers by 1-digit numbers: word problems (4-E.12)
- Divide 2-digit numbers by 1-digit numbers: interpret remainders (4-E.14)
- Comparison word problems with addition and subtraction (4-F.2)
- Comparison word problems: addition or multiplication? (4-F.3)
- Addition, subtraction, multiplication, and division word problems (4-F.5)
- Estimate sums, differences, products, and quotients: word problems (4-F.6)
- Word problems with extra or missing information (4-F.7)
- Solve word problems using guess-and-check (4-F.8)
- Multi-step word problems with strip diagrams (4-F.10)
- Use strip diagrams to represent and solve multi-step word problems (4-F.11)
- Multi-step word problems (4-F.12)
- Multi-step word problems: identify reasonable answers (4-F.14)
- Addition and subtraction word problems: numbers up to five digits (4)
- Multi-step addition and subtraction word problems (4)
- One-step word problems involving remainders (4)
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CE.4.5 The student will
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CE.4.5.a determine common multiples and factors, including least common multiple and greatest common factor;
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CE.4.5.b add and subtract fractions and mixed numbers having like and unlike denominators; and
- Add fractions with like denominators using area models (4-P.5)
- Add fractions with like denominators using strip models (4-P.6)
- Add fractions with like denominators using number lines (4-P.7)
- Add fractions with like denominators (4)
- Subtract fractions with like denominators using area models (4-P.9)
- Subtract fractions with like denominators using strip models (4-P.10)
- Subtract fractions with like denominators using number lines (4-P.11)
- Subtract fractions with like denominators (4)
- Add mixed numbers with like denominators (4-P.)
- Subtract mixed numbers with like denominators (4-P.)
- Add and subtract mixed numbers with like denominators (4-P.19)
- Add fractions with unlike denominators using models (4)
- Add fractions with unlike denominators (4)
- Subtract fractions with unlike denominators using models (4)
- Subtract fractions with unlike denominators (4)
- Estimate sums and differences of fractions using benchmarks (4)
- Write fractions in lowest terms (4)
- Least common denominator (4)
- Add 3 or more fractions with unlike denominators (4)
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CE.4.5.c solve single-step practical problems involving addition and subtraction with fractions and mixed numbers.
- Compare sums and differences of fractions with like denominators (4-P.15)
- Add and subtract fractions with like denominators: word problems (4)
- Add and subtract fractions with like denominators in recipes (4)
- Add and subtract mixed numbers with like denominators: word problems (4-P.20)
- Add and subtract fractions with unlike denominators: word problems (4)
- Add 3 or more fractions with like and unlike denominators: word problems (4)
- Add and subtract fractions with unlike denominators in recipes (4)
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CE.4.6 The student will
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CE.4.6.a add and subtract with decimals; and
- Add decimals using blocks (4-T.1)
- Add decimal numbers (4-T.2)
- Subtract decimal numbers (4-T.3)
- Add and subtract decimals (4-T.4)
- Choose decimals with a particular sum or difference (4-T.6)
- Add 3 or more decimals (4-T.7)
- Complete the addition or subtraction sentence (4-T.9)
- Estimate sums and differences of decimals (4-T.11)
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CE.4.6.b solve single-step and multistep practical problems involving addition and subtraction with decimals.
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MG Measurement and Geometry
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MG.4.7 The student will solve practical problems that involve determining perimeter and area in U.S. Customary and metric units.
- Find the perimeter of rectangles using formulas (4-AA.1)
- Perimeter of polygons (4-AA.2)
- Perimeter: word problems (4-AA.4)
- Create rectangles with a given area (4-AA.6)
- Find the area or missing side length of a rectangle (4-AA.7)
- Area: word problems (4-AA.8)
- Area of complex figures (4-AA.9)
- Compare area and perimeter of two figures (4-AA.11)
- Relationship between area and perimeter (4-AA.12)
- Area and perimeter: word problems (4-AA.13)
- Rectangles: relationship between perimeter and area word problems (4-AA.14)
- Use area and perimeter to determine cost (4-AA.16)
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MG.4.8 The student will
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MG.4.8.a estimate and measure length and describe the result in U.S. Customary and metric units;
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MG.4.8.b estimate and measure weight/mass and describe the result in U.S. Customary and metric units;
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MG.4.8.c given the equivalent measure of one unit, identify equivalent measures of length, weight/mass, and liquid volume between units within the U.S. Customary system; and
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MG.4.8.d solve practical problems that involve length, weight/mass, and liquid volume in U.S. Customary units.
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MG.4.9 The student will solve practical problems related to elapsed time in hours and minutes within a 12-hour period.
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MG.4.10 The student will
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MG.4.10.a identify and describe points, lines, line segments, rays, and angles, including endpoints and vertices; and
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MG.4.10.b identify and describe intersecting, parallel, and perpendicular lines.
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MG.4.11 The student will identify, describe, compare, and contrast plane and solid figures according to their characteristics (number of angles, vertices, edges, and the number and shape of faces) using concrete models and pictorial representations.
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MG.4.12 The student will classify quadrilaterals as a parallelograms, rectangles, squares, rhombi, and/or trapezoids.
- Parallel sides in quadrilaterals (4-W.4)
- Sides and angles of quadrilaterals (4-W.5)
- Identify parallelograms (4-W.6)
- Identify trapezoids (4-W.7)
- Identify rectangles (4-W.8)
- Identify rhombuses (4-W.9)
- Classify quadrilaterals (4-W.10)
- Pick all the names for a quadrilateral (4-W.11)
- Draw quadrilaterals (4-W.12)
- Describe relationships among quadrilaterals (4)
PS Probability and Statistics
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PS.4.13 The student will
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PS.4.13.a determine the likelihood of an outcome of a simple event;
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PS.4.13.b represent probability as a number between 0 and 1, inclusive; and
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PS.4.13.c create a model or practical problem to represent a given probability.
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PS.4.14 The student will
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PS.4.14.a collect, organize, and represent data in bar graphs and line graphs;
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PS.4.14.b interpret data represented in bar graphs and line graphs; and
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PS.4.14.c compare two different representations of the same data (e.g., a set of data displayed on a chart and a bar graph, a chart and a line graph, or a pictograph and a bar graph).
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PFA Patterns, Functions, and Algebra
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PFA.4.15 The student will identify, describe, create, and extend patterns found in objects, pictures, numbers, and tables.
- Subtraction input/output tables: up to three digits (4)
- Multiplication input/output tables (4-D.53)
- Multiplication input/output tables: find the rule (4-D.54)
- Input/output tables with addition, subtraction, multiplication, and division (4-F.4)
- Find the next shape in a pattern (4-K.1)
- Complete a repeating pattern (4-K.2)
- Make a repeating pattern (4-K.3)
- Find the next row in a growing pattern of shapes (4-K.4)
- What is true about the given pattern? (4-K.6)
- What is true about the pattern made by the rule? (4-K.7)
- Identify mistakes in number patterns (4-K.8)
- Complete an increasing number pattern (4-K.9)
- Complete a geometric number pattern (4-K.10)
- Number patterns: word problems (4-K.11)
- Shape patterns (4-K.13)
- Patterns of equivalent fractions (4-O.12)
- Addition input/output tables: find the rule (4)
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PFA.4.16 The student will recognize and demonstrate the meaning of equality in an equation.