Academic standards list

Third Grade — Mathematics


Academic standards define the expectations for knowledge and skills that students are to learn in a subject by a certain age or at the end of a school grade level. This page contains a list of standards for a specific content area, grade level, and/or course. The list of standards may be structured using categories and sub-categories.

Operations and Algebraic Thinking

Represent and solve problems involving multiplication and division.
Interpret the factors and products in whole number multiplication equations.
Interpret the dividend, divisor, and quotient in whole number division equations.
Multiply and divide within 100 to solve contextual problems, with unknowns in all positions, in situations involving equal groups, arrays, and measurement
Determine the unknown whole number in a multiplication or division equation relating three whole numbers within 100.
Understand properties of multiplication and the relationship between multiplication and division.
Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.)
Understand division as an unknown-factor problem.
Multiply and divide within 100.
Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 x 5 = 40, one
Solve problems involving the four operations and identify and explain patterns in arithmetic.
Solve two-step contextual problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity.
Identify arithmetic patterns (including patterns in the addition and multiplication tables) and explain them using properties of operations.

Number and Operations in Base Ten

Use place value understanding and properties of operations to perform multi-digit arithmetic.
Round whole numbers to the nearest 10 or 100 using understanding of place value.  
Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between  
Multiply one-digit whole numbers by multiples of 10 in the range 10-90 (e.g., 9 x 80, 5 x 60) using strategies based on place value and properties of  

Number and Operations- Fractions

Develop understanding of fractions as numbers.
Understand a fraction, 1/b, as the quantity formed by 1 part when a whole is partitioned into b equal parts (unit fraction); understand a fraction a/b as
Understand a fraction as a number on the number line. Represent fractions on a number line.
     There are 2 components within this standard.
Explain equivalence of fractions and compare fractions by reasoning about their size.
     There are 4 components within this standard.

Measurement and Data

Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.
Tell and write time to the nearest minute and measure time intervals in minutes. Solve contextual problems involving addition and subtraction of time
Measure the mass of objects and liquid volume using standard units of grams (g), kilograms (kg), milliliters (ml), and liters (l). Estimate the mass of
Represent and interpret data.
Draw a scaled pictograph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step how many more and how many less  
Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the  
Geometric measurement: understand and apply concepts of area and relate area to multiplication and to addition.
Recognize that plane figures have an area and understand concepts of area measurement.
     There are 2 components within this standard.
Measure areas by counting unit squares (square centimeters, square meters, square inches, square feet, and improvised units).
Relate area of rectangles to the operations of multiplication and addition.
     There are 4 components within this standard.
Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.
Solve real-world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side  


Reason about shapes and their attributes.
Understand that shapes in different categories may share attributes and that the shared attributes can define a larger category. Recognize rhombuses,  
Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.  
Determine if a figure is a polygon.  
♦  Academic Standards marked with a diamond are "Supporting Content" within the grade level or course.
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