Gizmos for Arkansas - Mathematics: Grade 4 (Academic Standards adopted 2023)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

4.NPV: : Number & Place Value

1.1: : Place Value

1.1.1: : Students understand the base ten place value system.

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.

1.2: : Comparison

1.2.1: : Students use place value understanding to compare numbers.

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, 1/2, 1).

4.NPV.6: : Compare two decimals to the hundredths place, using symbols (<, =, >) to record the results of comparisons.

1.3: : Fraction Foundations

1.3.1: : Students develop a conceptual understanding of fractions.

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.

1.4: : Equivalent Fractions

1.4.1: : Students develop and apply equivalent fraction understanding.

4.NPV.8: : Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b), using visual fraction models, generating equivalent fractions using the principle a/b = (n x a)/(n x b).

4.NPV.10: : Apply decimal notation for fractions with denominators 10 or 100.

4.CAR: : Computation & Algebraic Reasoning

2.1: : Operations & Properties

2.1.1: : Students perform operations, using place value understanding and properties of operations.

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.

4.CAR.6: : Multiply a fraction by a whole number using visual fraction models and equations.

2.2: : Problem Solving

2.2.1: : Students solve real-world problems.

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.

2.3: : Algebraic Concepts

2.3.1: : Students develop and apply an understanding of foundational algebraic concepts.

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.

4.GM: : Geometry & Measurement

3.1: : Shapes

3.1.1: : Students expand knowledge of shapes by analyzing sides and angles.

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.

4.GM.6: : Identify and/or draw lines of symmetry for a two-dimensional figure.

3.2: : Perimeter, Area, & Volume

3.2.1: : Students calculate the perimeter of polygons, area of rectangles, and liquid volume.

4.GM.7: : Apply the area and perimeter formulas for rectangles and figures composed of two or more rectangles in real-world situations.

3.3: : Time, Money, & Conversions

3.3.1: : Students apply measurement knowledge to solve real-world problems.

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.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.

4.DA: : Data Analysis

4.1: : Charts, Graphs, & Tables

4.1.1: : Students organize and analyze data.

4.DA.1: : Collect and interpret data from observations, surveys, and experiments; represent data using frequency tables and scaled bar graphs.

Correlation last revised: 10/7/2025

Arkansas - Mathematics: Grade 4

Academic Standards | Adopted: 2023

4.NPV: : Number & Place Value

4.CAR: : Computation & Algebraic Reasoning

4.GM: : Geometry & Measurement

4.DA: : Data Analysis