North Dakota
Skills available for North Dakota 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:
- North Dakota Content Standards (adopted in 2023): Grade 4 North Dakota Content Standards (adopted in 2023): Grade 4
- North Dakota Content Standards (adopted in 2023): Mathematical Practices North Dakota Content Standards (adopted in 2023): Mathematical Practices
- North Dakota Content Standards North Dakota Content Standards
- North Dakota Content Standards (Common Core) North Dakota Content Standards (Common Core)
Actions
4.NO Number and Operations
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4.NO.CC Counting and Cardinality
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4.NO.CC.1 Read numbers to the millions place, including word, standard, and expanded form. Write numbers to the millions place, including standard and expanded form.
- Place value models (4-A.1)
- Convert between standard and expanded form (4-A.5)
- Place value word problems (4-A.9)
- Place value review (4-A.11)
- Writing numbers up to 1,000 in words: convert words to digits (4)
- Writing numbers up to 1,000 in words: convert digits to words (4)
- Writing numbers up to 100,000 in words: convert words to digits (4)
- Writing numbers up to 100,000 in words: convert digits to words (4)
- Naming numbers up to one million (4)
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4.NO.NBT Base Ten
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4.NO.NBT.1 Understand that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.
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4.NO.NBT.2 Compare two numbers to the millions place and decimals to the hundredths place, using symbols >, <, and =. Justify comparisons based on the value of the digits.
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4.NO.NBT.3 Apply place value understanding to round multi-digit whole numbers to any place.
- Rounding: up to millions place (4-C.2)
- Round a number to any place: up to hundred thousands (4-C.3)
- Rounding input/output tables (4-C.4)
- Estimate sums (4-D.1)
- Estimate sums: word problems (4-D.2)
- Estimate differences (4-E.1)
- Estimate differences: word problems (4-E.2)
- Estimate products: multiply by 1-digit numbers (4-H.3)
- Estimate products: multiply by 2-digit numbers (4-I.4)
- Estimate products: word problems (4-I.5)
- Divide by 1-digit numbers: pick the better estimate (4-K.4)
- Estimate sums, differences, products, and quotients: word problems (4-M.2)
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4.NO.NBT.4 Add and subtract multi-digit whole numbers to the one millions place using strategies, including the algorithm.
- Properties of addition (4-D.5)
- Add two numbers up to six digits (4)
- Add two numbers up to six digits: word problems (4)
- Add two numbers up to seven digits (4)
- Add two numbers up to seven digits: word problems (4)
- Subtract two numbers up to six digits without regrouping (4)
- Subtract two numbers up to six digits with regrouping (4)
- Subtract numbers up to six digits: word problems (4)
- Subtract numbers up to seven digits (4)
- Subtract numbers up to seven digits: word problems (4)
- Add and subtract numbers up to six digits (4)
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4.NO.NBT.5 Multiply a whole number of up to four digits by a one-digit whole number and multiply two two-digit numbers. Show and justify the calculation using equations, rectangular arrays, and models.
- Multiplication facts to 12 (4-F.3)
- Properties of multiplication (4-F.5)
- Distributive property: find the missing factor (4-F.6)
- Multiplication patterns over increasing place values (4-H.1)
- Multiply 1-digit numbers by teen numbers using grids (4-H.5)
- Multiply 1-digit numbers by 2-digit numbers: choose the area model (4-H.6)
- Multiply 1-digit numbers by 2-digit numbers using area models (4-H.7)
- Multiply using the distributive property (4-H.8)
- Multiply 1-digit numbers by 2-digit numbers (4-H.9)
- Multiply 1-digit numbers by 2-digit numbers: word problems (4-H.10)
- Multiply 1-digit numbers by 3-digit or 4-digit numbers: choose the area model (4-H.12)
- Multiply 1-digit numbers by 3-digit or 4-digit numbers using area models (4-H.13)
- Multiply 1-digit numbers by 3-digit or 4-digit numbers using expanded form (4-H.14)
- Multiply 1-digit numbers by multi-digit numbers using partial products (4-H.15)
- Multiply 1-digit numbers by 3-digit or 4-digit numbers (4-H.16)
- Multiply 1-digit numbers by 3-digit or 4-digit numbers: word problems (4-H.17)
- Multiply by multiples of ten (4-I.2)
- Multiply two multiples of ten: word problems (4-I.3)
- Multiply 2-digit numbers by 2-digit numbers: choose the area model (4-I.6)
- Multiply 2-digit numbers by 2-digit numbers using area models (4-I.7)
- Multiply 2-digit numbers by 2-digit numbers using partial products (4-I.8)
- Multiply a 2-digit number by a 2-digit number: complete the missing steps (4-I.9)
- Multiply a 2-digit number by a 2-digit number (4-I.10)
- Multiply a 2-digit number by a 2-digit number: word problems (4-I.11)
- Use one multiplication fact to complete another (4-I.14)
- Box multiplication (4)
- Lattice multiplication (4)
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4.NO.NBT.6 Find whole-number quotients and remainders with up to four-digit dividends and one digit divisors using place value strategies. Show and justify the calculation using equations, rectangular arrays, and models.
- Properties of division (4)
- Choose numbers with a particular quotient (4-J.6)
- Division patterns over increasing place values (4-K.1)
- Divide numbers ending in zeros by 1-digit numbers (4-K.2)
- Divide 2-digit numbers by 1-digit numbers using arrays (4-K.5)
- Divide 2-digit numbers by 1-digit numbers using area models (4-K.6)
- Divide using the distributive property (4-K.7)
- Divide 2-digit numbers by 1-digit numbers: complete the table (4-K.10)
- Divide 3-digit numbers by 1-digit numbers using area models (4-K.11)
- Divide using partial quotients (4-K.12)
- Divide using partial quotients with remainders (4-K.13)
- Divide numbers ending in zeros by 1-digit numbers: word problems (4-L.1)
- Divide 2-digit numbers by 1-digit numbers: interpret remainders (4-L.2)
- Divide 2-digit numbers by 1-digit numbers: word problems (4-L.3)
- Divide larger numbers by 1-digit numbers: interpret remainders (4-L.4)
- Divide larger numbers by 1-digit numbers: word problems (4-L.5)
- Divide 2-digit numbers by 1-digit numbers (4)
- Divide larger numbers by 1-digit numbers (4)
- Divide larger numbers by 1-digit numbers: complete the table (4)
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4.NO.NF Fractions
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4.NO.NF.1 Express equivalent fractions with a denominator of 10 and a denominator of 100 to generate a decimal notation.
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4.NO.NF.2 Explain and demonstrate how a mixed number is equivalent to a fraction greater than one and how a fraction greater than one is equal to a mixed number using visual fraction models and reasoning strategies (proper and improper fractions limited to denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100).
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4.NO.NF.3 Generate equivalent fractions using numerical representations, visual representations, and number lines (proper and improper fractions limited to denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100).
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4.NO.NF.4 Demonstrate how equivalent fractions are generated by multiplying a fraction equivalent to 1 or the properties of multiplication (proper and improper fractions limited to denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100).
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4.NO.NF.5 Compare and order fractions having, unlike numerators or denominators. Record comparisons using the symbols >, <, and =. Justify using a visual fraction model (proper and improper fractions limited to denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100).
- Compare fractions using models (4-R.4)
- Benchmark fractions (4-R.5)
- Compare fractions using benchmarks (4-R.6)
- Compare fractions using benchmarks: find the missing numerator (4-R.7)
- Compare fractions (4-R.8)
- Compare fractions: find the missing numerator or denominator (4-R.9)
- Compare fractions in recipes (4-R.10)
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4.NO.NF.6 Solve authentic word problems by adding and subtracting fractions and mixed numbers with like denominators (proper and improper fractions limited to denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100).
- Add and subtract fractions with like denominators: word problems (4-T.4)
- Add and subtract fractions with like denominators in recipes (4-T.5)
- Add and subtract fractions with like denominators: multi-step word problems (4-T.7)
- Add and subtract mixed numbers with like denominators in recipes (4-T.13)
- Add and subtract mixed numbers with like denominators: word problems (4-T.14)
- Add and subtract fractions and mixed numbers with like denominators: multi-step word problems (4-T.15)
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4.NO.NF.7 Solve problems by multiplying fractions and whole numbers using visual fraction models (proper and improper fractions limited to denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100).
- Multiply unit fractions by whole numbers: word problems (4-V.6)
- Multiply fractions by whole numbers: word problems (4-W.7)
- Multiply mixed numbers by whole numbers: word problems (4-W.9)
- Multiply fractions and mixed numbers by whole numbers in recipes (4-W.10)
- Multiply fractions and mixed numbers by whole numbers: multi-step word problems (4-W.11)
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4.AR Algebraic Reasoning
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4.AR.OA Operations and Algebraic Thinking
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4.AR.OA.1 Automatically multiply and divide through 10 × 10.
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4.AR.OA.2 Identify and apply the properties of operations for addition, subtraction, multiplication, and division and justify thinking.
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4.AR.OA.3 Solve multi-step authentic word problems using the four operations, including problems with interpreted remainders. Represent problems using equations, including a symbol as an unknown.
- Estimate products word problems: identify reasonable answers (4-H.4)
- Multiply 1-digit numbers by 2-digit numbers: multi-step word problems (4-H.11)
- Multiply 1-digit numbers by 3-digit or 4-digit numbers: multi-step word problems (4-H.18)
- Multiply a 2-digit number by a 2-digit number: multi-step word problems (4-I.12)
- Divide 2-digit numbers by 1-digit numbers: interpret remainders (4-L.2)
- Divide larger numbers by 1-digit numbers: interpret remainders (4-L.4)
- Write equations to represent word problems (4-M.13)
- Use equations to solve addition and subtraction word problems (4-M.15)
- Multi-step addition and subtraction word problems (4-N.1)
- Use equations to solve multi-step addition and subtraction word problems (4-N.2)
- Multi-step word problems with strip diagrams (4-N.3)
- Use strip diagrams to represent and solve multi-step word problems (4-N.4)
- Use equations to solve multi-step multiplication word problems (4-N.5)
- Use equations to solve multi-step division word problems (4-N.6)
- Multi-step word problems (4-N.7)
- Multi-step word problems involving remainders (4-N.8)
- Multi-step word problems: identify reasonable answers (4-N.9)
- Word problems with extra or missing information (4-N.10)
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4.AR.OA.4 Find factor pairs and multiples within the range of 1-36 while classifying numbers as prime or composite.
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4.AR.OA.5 Interpret multiplication equations as a comparison. Represent multiplicative comparisons as multiplication equations.
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4.AR.OA.6 Generate a number or shape pattern that follows a given rule while identifying apparent features of the pattern that were not explicit in the rule itself.
- Make a repeating pattern (4)
- Use a rule to complete a number pattern (4-O.1)
- What is true about the given pattern? (4-O.2)
- What is true about the pattern made by the rule? (4-O.3)
- Identify mistakes in number patterns (4-O.4)
- Extend growing shape patterns (4-O.9)
- Extend repeating shape patterns (4-O.10)
- Find the next shape in a pattern (4)
- Complete a repeating pattern (4)
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4.GM Geometry and Measurement
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4.GM.G Geometry
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4.GM.G.1 Identify, label, and draw points, lines, line segments, rays, and angles (right, acute, obtuse).
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4.GM.G.2 Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of specified size.
- Acute, obtuse, and right triangles (4-LL.1)
- Scalene, isosceles, and equilateral triangles (4-LL.2)
- Classify triangles (4-LL.3)
- Parallel sides in quadrilaterals (4-MM.1)
- Sides and angles of quadrilaterals (4-MM.2)
- Classify quadrilaterals (4-MM.7)
- Pick all the names for a quadrilateral (4-MM.8)
- Name quadrilaterals more than one way (4-MM.9)
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4.GM.G.3 Draw lines of symmetry in two-dimensional figures.
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4.GM.M Measurement
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4.GM.M.1 Know the relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb., oz.; l, ml; hr., min., sec. Record measurement equivalents in a two-column table.
- Which customary unit is appropriate? (4-EE.2)
- Convert and compare customary units of length (4-EE.3)
- Convert and compare customary units of weight (4-EE.4)
- Convert and compare customary units of volume (4-EE.5)
- Convert and compare customary units (4-EE.6)
- Convert mixed customary units (4-EE.9)
- Which metric unit is appropriate? (4-FF.1)
- Convert and compare metric units of length (4-FF.2)
- Convert and compare metric units of mass (4-FF.3)
- Convert and compare metric units of volume (4-FF.4)
- Convert and compare metric units (4-FF.5)
- Convert mixed metric units (4-FF.7)
- Convert time units: hours, minutes, and seconds (4)
- Convert units of time (4)
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4.GM.M.2 Generate simple conversions from a larger unit to a smaller unit to solve authentic problems within a single system of measurement, both customary and metric systems.
- Compare and convert customary units of length (4)
- Convert and compare customary units of weight (4-EE.4)
- Compare and convert customary units of volume (4)
- Compare and convert customary units (4)
- Convert and compare metric units of length (4-FF.2)
- Convert and compare metric units (4-FF.5)
- Compare and convert metric units of mass (4)
- Compare and convert metric units of volume (4)
- Convert time units: hours, minutes, and seconds (4)
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4.GM.M.3 Identify and use the appropriate tools, operations, and units of measurement, both customary and metric, to solve problems involving time, length, weight, mass, and capacity.
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4.GM.M.4 Solve authentic word problems involving dollar bills, quarters, dimes, nickels, and pennies using $ and ¢ symbols and decimal notation appropriately.
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4.GM.M.5 Apply the area and perimeter formulas for rectangles, including connected rectangular figures, in problems.
- Perimeter of rectilinear shapes (4)
- Find the perimeter of rectangles using formulas (4-HH.3)
- Perimeter: word problems (4-HH.4)
- Find the area of rectangles using formulas (4-II.2)
- Area: word problems (4-II.4)
- Area of complex figures (4-II.5)
- Area between two rectangles (4-II.6)
- Compare area and perimeter of rectangles and squares (4-II.7)
- Relationship between area and perimeter (4-II.9)
- Area and perimeter: word problems (4-II.10)
- Rectangles: relationship between perimeter and area word problems (4-II.12)
- Use area and perimeter to determine cost (4-II.13)
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4.GM.M.6 Measure angles in whole-number degrees using a protractor. Using a protractor and ruler, draw angles of a specified measure.
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4.GM.M.7 Recognize angle measures as additive and solve addition and subtraction problems to find unknown angles on a diagram.
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4.DPS Data, Probability, and Statistics
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4.DPS.D Data
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4.DPS.D.1 Formulate questions to collect, organize, and represent data to reason with math and across disciplines.
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4.DPS.D.2 Generate data and create line plots to display a data set of unit fractions (½, ¼, ⅛). Solve problems involving addition and subtraction of fractions by using information presented in line plots.
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4.DPS.D.3 Utilize graphs and diagrams to represent and solve authentic word problems using the four operations involving whole numbers, benchmark fractions, and decimals.
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