# 3rd Grade Skills in Math

The 3rd Grade Skills below are based on the Common Core Standards For Mathematics. You can find out more about the Common Core Standards here.

You will also find a listing of related math resources (worksheets, charts, etc) here.

Note: Math standards and curricula can vary by location or school. Check with your child’s school to determine what 3rd grade math skills are expected in your location.

## Operations & Algebraic Thinking

Understanding multiplication in terms of a certain number of groups each of which has the same number of objects. e.g. 4 x 8 is 4 groups of 8 objects.

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Interpret products of whole numbers, e.g., interpret 5 x 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 x 7.

### Worksheet

Understanding division as the sharing of a certain number of objects into groups of equal amounts. e.g. 24 objects shared as 4 groups of 6 can be shown as 24 ÷ 4 = 6.

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of  shares or a number of groups can be expressed as 56 ÷ 8.

### Worksheet

Solving word problems by multiplying and dividing with numbers up to 100.

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.1

### Multiplication and Division

Finding the “missing” numbers in multiplication and division equations.
e.g. 7 x _ = 21 or 36 ÷ _ = 6

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 x ? = 48, 5 = _ ÷ 3, 6 x 6 = ?

### Worksheet Generator

Knowing and using the commutative, associative, and distributive properties of multiplication. (without necessarily knowing these names)

Recognizing the connection between multiplication and division. e.g. finding 48 ÷ 6 by knowing the number that 6 is multiplied by to get 48.

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.

### Worksheet Generator

Multiplying and dividing with fluency for numbers up to 100 and, by grade’s end, memorizing up to the 10x table.

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

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 knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

### Worksheet Generator

Using addition, subtraction,multiplication, and/or division to solve two-step word problems. (whole number answers only)

Identifying arithmetic patterns in addition and multiplication tables.

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.

## Number & Operations in Base Ten

Rounding numbers to the nearest 10 and the nearest 100.

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Use place value understanding to round whole numbers to the nearest 10 or 100.

### Worksheet Generator

Adding and subtracting with fluency with numbers less than one thousand.

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

### Worksheet Generator

Multiplying numbers 1 to 9 by multiples of ten. e.g. 4 x 30, 7 x 50, 5 x 90.

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

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 operations.

## Number & Operations—Fractions

Understanding what numerators and denominators represent in fractions. e.g. 3/4 as being 3 parts out of a total of 4 parts where the parts are all of equal size

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b

### Worksheet Generator

Understanding and representing how fractions can be shown on a number line.

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Understand a fraction as a number on the number line; represent fractions on a number line diagram.
1. Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.
2. Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.

### Quiz

Understanding and showing the concept of equivalent fractions.
e.g. 2/3 = 4/6

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
1. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
2. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.
3. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.
4. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

### Worksheet Generator

Note: only fractions with denominators 2, 3, 4, 6, 8.

## Measurement & Data

Writing and telling time to the minute and solving problems that require adding and subtracting intervals of time.

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram.

### Worksheet Generator

Estimating and measuring the liquid volume and the mass of an object and being able to solve simple word problems with mass and volume. (using only grams, kilograms, and liters with no unit conversion required)

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.

### Weight

Drawing and using scaled picture and bar graphs.

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Draw a scaled picture graph 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” problems using information presented in scaled bar graphs. For example, draw a bar graph in which each square in the bar graph might represent 5 pets.

### Worksheet

Measuring length to the 1/4 and 1/2 inch and showing the resultant data on a line plot.

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

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 horizontal scale is marked off in appropriate units – whole numbers, halves, or quarters.

### Worksheet

Understanding the concept of area for 2-dimensional figures.

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Recognize area as an attribute of plane figures and understand concepts of area measurement.
1. A square with side length 1 unit, called “a unit square,” is said to have “one square unit” of area, and can be used to measure area.
2. A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.

### Coordinate Geometry

Measuring area through counting of unit squares (using square centimeters, meters, inches, and feet as well as informal units)

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).

### Worksheet

Calculating area using multiplication and addition and finding the area of composite shapes. (only rectangles and shapes with 90 right angles)

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Relate area to the operations of multiplication and addition.
1. Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.
2. Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.
3. Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a x b and a x c. Use area models to represent the distributive property in mathematical reasoning.
4. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.

### Worksheet

Finding the perimeter of a polygon and, given a perimeter, finding the lengths of missing sides and being able to do so to solve real-world problems

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.

## Geometry

Categorizing shapes, identifying common attributes of different types of shapes, and recognizing that some shapes belong to more than one category. e.g. rectangles are also quadrilaterals but not all quadrilaterals are rectangles

The listing of worksheets and other math resources below are related to the following standard extracted from the Common Core Standards For Mathematics:

Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.

### Shapes and Figures

Divide shapes into equal parts and use fractions to describe these parts.

Browse for skills and worksheets at other grade levels by clicking in the table below.