NumbersN
Place Value
- 1
Recognize that a digit in a given place represents ten times what it represents in the place to its right.4.N.1
- 2
Use place value understanding to round multi-digit whole numbers to any place.4.N.2
- 3
Compose and decompose five-digit numbers into ten thousands, thousands, hundreds, tens, and ones.4.N.3
- 4
Read and write whole numbers up to 1,000,000 using standard form, word form, and expanded form.4.N.4
- 5
Compare two multi-digit numbers based on values of the digits in each place value using the symbols <, >, =. 4.N.5
- 1
Operations and Algebraic ThinkingOA
Number Operations
- 1
Represent and explain multiplicative comparisons using equations, drawings, and verbal reasoning.4.OA.1
- 2
Solve real-world problems involving multiplicative comparison, using drawings and/or equations with a symbol for the unknown number, and distinguish between multiplicative comparison and additive comparison.4.OA.2
- 3
Multiply four-digit whole numbers by one-digit whole numbers, and multiply two two-digit whole numbers.4.OA.3
- 4
Divide four digit whole numbers by one-digit divisors; quotients should be with and without whole number remainders.4.OA.4
- 5
Interpret a remainder of a one-step division problem.4.OA.5
- 6
Solve multistep word problems using addition, subtraction, multiplication, and division, with whole numbers and having whole number answers, including problems in which remainders must be interpreted; assess the reasonableness of answers using mental computation and estimation strategies including rounding. 4.OA.6
- 7
Find factor pairs for whole numbers up to 100.4.OA.7
- 8
Recognize that a whole number (within 100) is a multiple of each of its factors. 4.OA.8
- 9
Find multiples of single-digit whole numbers.4.OA.9
- 10
Determine whether a whole number from 1 to 100 is prime or composite.4.OA.10
- 11
Generate a number or shape pattern that follows a given rule, identifying apparent features of the pattern that are not explicit in the rule itself.4.OA.11
- 12
Demonstrate understanding of addition and multiplication problems using properties (commutative, associative, distributive, and identity).4.OA.12
- 13
Evaluate a numerical expression including addition, subtraction, multiplication, and division using the order of operations of whole numbers without parenthesis and exponents.4.OA.13
- 1
FractionsF
Operations and Properties
- 1
Use visual models and reasoning to explain why a fraction 𝑎𝑎/𝑏𝑏 is equivalent to another fraction when both the numerator and denominator are multiplied by the same number.4.F.1
- 2
Compare fractions with different numerators and denominators, by creating common denominators or numerators, using the symbols <, >, =. 4.F.2
- 3
Add and subtract fractions with like denominators. 4.F.3
- 4
Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators.4.F.4
- 5
Break apart fractions into sums of fractions with the same denominator and smaller numerators.4.F.5
- 6
Add and subtract mixed numbers with like denominators using various strategies.4.F.6
- 7
Multiply a fraction by a whole number and a whole number by a fraction.4.F.7
- 8
Understand a fraction 𝑎𝑎/𝑏𝑏 is a multiple of 1/𝑏𝑏. 4.F.8
- 9
Understand a multiple of 𝑎𝑎/𝑏𝑏 is also a multiple of 1/𝑏𝑏. 4.F.9
- 10
Solve word problems involving multiplication of fractions by whole numbers.4.F.10
- 11
Add two fractions with denominator of 10 and 100 by expressing the denominator of 10 as an equivalent fraction with a denominator of 100.4.F.11
- 12
Understand a decimal number to be a number with a whole part and a fractional part separated by a decimal point.4.F.12
- 13
Apply decimal notation for fractions with denominators 10 or 100; locate these decimals on a number line.4.F.13
- 14
Read, write, and describe the value of decimal numbers to the hundredths place.4.F.14
- 15
Compare decimals to the hundredths place on a number line and by using the symbols <, > , =. 4.F.15
- 1
MeasurementM
Measurement Concepts
- 1
Measure length, weight, mass, and capacity using U.S. Customary and metric systems of measurement (including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec.). 4.M.1
- 2
Express larger units in terms of smaller units through conversions within a single system of measurement.4.M.2
- 3
Solve word problems using addition, subtraction, multiplication, and division involving distance, intervals of time, capacity, masses, and money, using fractional and decimal values.4.M.3
- 4
Use visual models and reasoning to explain how area and perimeter formulas for rectangles relate to their side lengths and solve real-world problems.4.M.4
- 1
Data
- 5
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8) and solve problems using the line plot.4.M.5
- 5
GeometryG
Geometric Measurement
- 1
Recognize angles as geometric shapes that are formed where two rays share a common endpoint.4.G.1
- 2
Measure angles in degrees using a protractor and understand a degree as 1/360 of a circle; draw angles of specific measure.4.G.2
- 3
Classify angles as right, acute, obtuse, or straight. Draw right, acute, obtuse, and straight angles.4.G.3
- 4
Recognize and apply the concept of additive angles: when angles are broken apart the sum of the parts is equal to the angle measure of the whole. 4.G.4
- 1
Shapes
- 5
Identify, describe, and draw points, lines, segments, rays, and angles.4.G.5
- 6
Identify, describe, and draw intersecting, parallel, and perpendicular lines.4.G.6
- 7
Understand a trapezoid to be a two-dimensional shape with four sides, where exactly one pair of sides is parallel.4.G.7
- 8
Identify and describe various quadrilaterals by their properties of parallel and perpendicular lines including square, rectangle, trapezoid, and rhombus. 4.G.8
- 9
Identify, describe, and draw equilateral, scalene, right, acute, and obtuse angles and triangles.4.G.9
- 10
Identify and draw lines of symmetry for two-dimensional figures. 4.G.10
- 5
Mathematical FluencyMF
- MF.
Mathematical FluencyMF
Recall from memory multiplication facts (0-12).4.MF.1
- 1
Recall from memory multiplication facts (0-12).4.MF.1
Recall from memory division facts (0-12).4.MF.2
- 2
Recall from memory division facts (0-12).4.MF.2
Fluently add and subtract multi-digit whole numbers using an algorithm including, but not limited to, the standard algorithm.4.MF.3
- 3
Fluently add and subtract multi-digit whole numbers using an algorithm including, but not limited to, the standard algorithm.4.MF.3
Frequently asked questions
- What grade levels do these standards cover?
- Grade 4
- Where can I read the official document?
- South Dakota Mathematic Standards
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