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4th Grade Skills in Math

The 4th 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 4th grade math skills are expected in your location.

Operations & Algebraic Thinking

Understanding that a multiplication equation can be seen as comparing two numbers. e.g. 48 = 6 x 8 is the same as saying 48 is 6 times as many as 8.

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

Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.

Example/Guidance

Worksheet

Converting Metric Units

Money

Solving multiplication and division word problems.

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

Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

Example/Guidance

Worksheet

Multiplication and Division

Using addition, subtraction, multiplication, and division and solving multi-step word problems and to do so using letters within equations to represent unknowns. (including problems with remainders)

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

Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

Example/Guidance

Worksheet

Multi-step

Finding factors and multiples with numbers up to 100 and identifying numbers as being prime or composite.

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

Find all factor pairs for a whole number in the range 1 to 100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1 to 100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1 to 100 is prime or composite.

Chart

Prime Numbers

Example/Guidance

Game

Target Game

Number line

Worksheet

Generating and extending number patterns according to rules. e.g. Starting at 5 add 4: 5 , 9 , 13 , 17 , 21 , … (including also non-numeric patterns. e.g. shape patterns)

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

Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.

Example/Guidance

Number Patterns

Worksheet

Number & Operations in Base Ten

Understanding place value and knowing that each place represents 10 times that of the place to the right and using this knowledge to determine that 900 ÷ 90 = 10.

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

Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.

Chart

Place Value Charts

Example/Guidance

Worksheet

Writing multi-digit whole numbers including the use of number names, and the expanded form and comparing these numbers by examining the ones, tens, hundreds, thousands and so on places and correctly using the greater than, less than, and equal signs.

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

Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Chart

Place Value Charts

Example/Guidance

Flashcard

Number line

Worksheet

Rounding multi-digit whole numbers (i.e. larger numbers) to any place.

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 multi-digit whole numbers to any place.

Activity

Cards

Example/Guidance

Game

Matching Game

Worksheet

Worksheet Generator

Adding and subtracting multi-digit numbers.

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 multi-digit whole numbers using the standard algorithm.

Worksheet

Third/ Fourth Grade

Multiplying whole numbers: up to 4-digit x 1-digit and 2-digit x 2-digit. e.g. 4376 x 3 and 36 x 23

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

Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Example/Guidance

Flashcard

Worksheet

Third/ Fourth Grade

Worksheet Generator

Dividing whole numbers: up to 4-digit ÷ 1-digit e.g. 4567 ÷ 4 (with remainders if required)

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

Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Example/Guidance

Worksheet

Worksheet Generator

limited to whole numbers up to 1,000,000.

Number & Operations—Fractions

Recognizing and calculating equivalent fractions.

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

Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

Activity

Domino Cards

Example/Guidance

Game

Matching Game

Target Game

Worksheet

Worksheet Generator

Comparing fractions including the use of common denominators to do so.

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

Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

Example/Guidance

Lesson

Worksheet

Adding and subtracting fractions and mixed numbers with the same denominators.

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 a/b with a > 1 as a sum of fractions 1/b.
1. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
2. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.
3. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
4. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.

Number line

Worksheet

Worksheet Generator

Multiplying fractions by whole numbers and solving word problems by doing so.

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

Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
1. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4).
2. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5. (In general, n x (a/b) = (n x a)/b.)
3. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?

Worksheet

Worksheet Generator

Adding fractions of denominators of 10 to fractions of denominator 100 by generating equivalent fractions of denominator 100.
e.g. 7/10 + 17/100 = 70/100 + 17/ 100 = 87/100

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

Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.2 For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.

Chart

Fraction Charts

Worksheet

Writing decimal fractions based on common fractions of denominators 10 and 100 and placing these on a number line. e.g. writing 0.7 as 7/10 and writing 53/100 as 0.53.

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

Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.

Activity

Domino Cards

Chart

Place Value Charts

Example/Guidance

Number line

Worksheet

Comparing decimals up to two decimal places.
e.g. 0.45 > 0.37 , 0.7 < 0.98 , 0.4 = 0.40

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

Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.

Example/Guidance

Worksheet

Measurement & Data

Converting from large units of measurement to smaller ones. e.g. from feet to inches, kilometers to meters, meters to centimeters (other units include kilograms, grams, pounds, ounces, liters, milliliters, hours, minutes, and seconds)

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

Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36), …

Worksheet

Durations

Solving word problems using addition, subtraction, multiplication and division or whole numbers, decimals, and simple fractions including do so to converting from larger to smaller units of measurement. (including with time, distance, mass, money, and liquid volume)

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

Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.

Chart

Place Value Charts

Example/Guidance

Number line

Money

Worksheet

Converting Metric Units

Money

Time

Calculating area, perimeter and/ or “missing” dimensions of rectangular shapes.

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

Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Worksheet

Area

Displaying measurement data, including with fractions, by creating and interpreting line plots.

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

Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection.

Worksheet

Perimeter

Understanding the measurement of angles including the 360 degrees of one complete rotation.

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

Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
1. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles.
2. An angle that turns through n one-degree angles is said to have an angle measure of n degrees.

Example/Guidance

Lines and Angles

Worksheet

Using a protractor to measure and illustrate angles to the nearest degree.

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

Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.

Example/Guidance

Lines and Angles

Worksheet

Using adding and subtracting to find unknown angles on diagrams using letters of symbols in equations to represent the unknown when necessary.

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

Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.

Example/Guidance

Lines and Angles

Worksheet

Geometry

Identify and draw lines (including perpendicular and parallel ones), line segments, rays, and angles.

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

Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

Misc

Worksheet

Coordinate Geometry

Lines and Angles

Categorize 2-D shapes based on their attributes e.g. having parallel and/ or perpendicular lines, having right angles. etc.

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

Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.

Game

Matching Game

Worksheet

Lines and Angles

  •  Angles e.g. Identifying right angles

Shapes and Figures

Identify and draw lines of symmetry on 2-D 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 a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

Example/Guidance

Lines and Angles

Worksheet

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