Arkansas flagArkansas: Grade 4 Math Standards

34 standards Β· 4 domains

COMPUTATION & ALGEBRAIC REASONING

  • 4.CAR.1 Find the factor pairs for a given number in the range of 1-100, identifying whether a number is prime or composite; determine whether a given whole number in the range of 1-100 is a multiple of a given one-digit number.
  • 4.CAR.2 Use computational fluency to add and subtract whole numbers up to 1,000,000 by using strategies and algorithms, including the standard algorithm, with mastery by the end of fourth grade.
  • 4.CAR.3 Use strategies based on place value and the properties of operations to multiply four-digit by one-digit whole numbers and two two-digit whole numbers.
  • 4.CAR.4 Use strategies based on place value, the properties of operations, and the relationship between multiplication and division to divide whole numbers with four-digits by one-digit divisors; quotients should be with and without whole number remainders.
  • 4.CAR.5 Add and subtract fractions, including mixed numbers, with like denominators, using visual fraction models and equations. Fractions include: denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100
  • 4.CAR.6 Multiply a fraction by a whole number using visual fraction models and equations. Fractions include: denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100
  • 4.CAR.7 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.CAR.8 Solve multi-step, real-world problems posed with whole numbers and having whole-number answers, using addition, subtraction, multiplication, and division; include problems in which remainders must be interpreted and represent these problems using equations with symbols standing for the unknown quantity.
  • 4.CAR.9 Solve real-world problems involving the addition and subtraction of fractions; include mixed numbers with like denominators, using visual fraction models or equations. Fractions include: denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100
  • 4.CAR.10 Solve real-word problems involving the multiplication of a fraction by a whole number using visual fraction models or equations. Fractions include: denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100
  • 4.CAR.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.

DATA ANALYSIS

  • 4.DA.1 Collect and interpret data from observations, surveys, and experiments; represent data using frequency tables and scaled bar graphs.
  • 4.DA.2 Use a line plot to display a data set of measurements in fractions of a unit, solving problems involving addition and subtraction of fractions with like denominators using data presented in line plots.

GEOMETRY & MEASUREMENT

  • 4.GM.1 Identify angles as geometric shapes that are formed where two rays share a common endpoint, understanding that angles are measured with reference to a circle so that an angle that turns through a 1/360 of a circle is called a β€œone-degree angle” and an angle that turns through 𝑛 one-degree angles is said to have an angle measure of n degree.
  • 4.GM.2 Measure angles in whole-number degrees, using a protractor, drawing angles of specified measure.
  • 4.GM.3 Solve real-word problems finding unknown angle measures, using addition and subtraction when an angle is decomposed into non-overlapping parts.
  • 4.GM.4 Identify and draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines, identifying these in quadrilaterals and triangles.
  • 4.GM.5 Classify two-dimensional figures based on the presence or absence of parallel lines, perpendicular lines, or angles of a specified size, involving quadrilaterals and triangles. Shapes include: quadrilaterals (trapezoid, parallelogram, rectangle, square, rhombus) and triangles (right, acute, obtuse)
  • 4.GM.6 Identify and/or draw lines of symmetry for a two-dimensional figure.
  • 4.GM.7 Apply the area and perimeter formulas for rectangles and figures composed of two or more rectangles in real-world situations.
  • 4.GM.8 Convert measurements of length, weight/mass, and liquid volume within the same system of measurement, metric and customary, expressing measurements from a larger unit in terms of a smaller unit.
  • 4.GM.9 Solve real-world problems involving time intervals that may cross the hour.
  • 4.GM.10 Solve real-world problems involving addition and subtraction of money, including the ability to make change.
  • 4.GM.11 Solve real-world problems involving distances, liquid volume, and masses of objects, including problems that require expressing measurements given in a larger unit in terms of a smaller unit.

NUMBER & PLACE VALUE

  • 4.NPV.1 Recognize that a digit in a given place represents ten times what it represents in the place to its right.
  • 4.NPV.2 Read and write whole numbers up to 1,000,000 using base ten numerals, word form, and a variety of expanded forms.
  • 4.NPV.3 Use place value understanding to round five-digit and six-digit whole numbers to any place.
  • 4.NPV.4 Compare two five-digit whole numbers and six-digit whole numbers, using symbols (<, =, >) to record the results of comparisons.
  • 4.NPV.5 Compare two fractions with different numerators and different denominators using symbols (<, =, >) to record the results of comparisons (e.g., by creating common denominators or numerators or by comparing to a benchmark of 0, Β½, 1).
  • 4.NPV.6 Compare two decimals to the hundredths place, using symbols (<, =, >) to record the results of comparisons.
  • 4.NPV.7 Decompose fractions, including fractions greater than one and mixed numbers, into unit fractions, using concrete models, drawings, and/or the number line. Fractions include denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
  • 4.NPV.8 Explain why a fraction π‘Ž/𝑏 is equivalent to a fraction (π‘›βˆ™π‘Ž)/(π‘›βˆ™π‘), using visual fraction models, generating equivalent fractions using the principle π‘Ž/𝑏 = (π‘›βˆ™π‘Ž)/(π‘›βˆ™π‘). Fractions include denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
  • 4.NPV.9 Add two fractions with denominators of 10 and 100 by expressing the denominator of 10 as an equivalent fraction with a denominator of 100.
  • 4.NPV.10 Apply decimal notation for fractions with denominators 10 or 100.

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