Operations and Algebraic Thinking

4.OA.A

Use the four operations with whole numbers to solve problems

4.OA.A.1 Worksheets

Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 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.

4.OA.A.2 Worksheets

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.

Solve multi-step 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.

4.OA.B

Gain familiarity with factors and multiples

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

4.OA.C

Generate and analyze patterns

4.OA.C.5 Worksheets

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, 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.

Number and Operations in Base Ten

4.NBT.A

Generalize place value understanding for multi-digit whole numbers

4.NBT.A.1 Worksheets

Recognize that in a multi-digit whole number (less than or equal to 1,000,000), a digit in one place represents 10 times as much as it represents in the place to its right. For example, recognize that 7 in 700 is 10 times bigger than the 7 in 70 because 700 ÷ 70 = 10 and 70 x 10 = 700.

Read and write multi-digit whole numbers (less than or equal to 1,000,000) using standard form, word form, and expanded form (e.g. the expanded form of 4256 is written as 4 x 1000 + 2 x 100 + 5 x 10 + 6 x 1). Compare two multi- digit numbers based on meanings of the digits in each place and use the symbols >, =, and < to show the relationship.

Round multi-digit whole numbers to any place (up to and including the hundred-thousand place) using understanding of place value.

4.NBT.B

Use place value understanding and properties of operations to perform multi-digit arithmetic

Fluently add and subtract multi-digit whole numbers using the standard algorithm.

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.

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.

Number and Operations - Fractions

4.NF.A

A. Extend understanding of fraction equivalence and comparison

Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × 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. For example, 3/4 = (3 x 2)/(4 x 2) = 6/8

Compare two fractions with different numerators and different denominators by creating common denominators or common 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. Use the symbols >, =, or < to show the relationship and justify the conclusions.

4.NF.B

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

4.NF.B.3 Worksheets

Understand a fraction a/b with a > 1 as a sum of fractions 1/b. For example, 4/5 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5.

4.NF.B.3a Worksheets

Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

4.NF.B.3b Worksheets

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. For example, 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.

4.NF.B.3c Worksheets

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.NF.B.3d Worksheets

Solve contextual problems involving addition and subtraction of fractions referring to the same whole and having like denominators

Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

4.NF.B.4a Worksheets

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 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).

4.NF.B.4b Worksheets

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 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b = (n x a) x 1/6.)

4.NF.B.4c Worksheets

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?

4.NF.C

Understand decimal notation for fractions, and compare decimal fractions

4.NF.C.5 Worksheets

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. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.

4.NF.C.6 Worksheets

Read and write decimal notation for fractions with denominators 10 or 100. Locate these decimals on a number line.

4.NF.C.7 Worksheets

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 < to show the relationship and justify the conclusions.

Measurement and Data

4.MD.B

Represent and interpret data

4.MD.B.4 Worksheets

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.

4.MD.A

Estimate and solve problems involving measurement

4.MD.A.1 Worksheets

Measure and estimate to determine relative sizes of measurement units within a single system of measurement involving length, liquid volume, and mass/weight of objects using customary and metric units.

4.MD.A.2 Worksheets

Solve one- or two-step real-world problems involving whole number measurements with all four operations within a single system of measurement including problems involving simple fractions.

Know and 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.

4.MD.C

Geometric measurement: understand concepts of angle and measure angles

4.MD.C.5 Worksheets

Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement.

4.MD.C.5a Worksheets

Understand that 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.

4.MD.C.5b Worksheets

Understand that an angle that turns through 1/360 of a circle is called a "one-degree angle," and can be used to measure angles. An angle that turns through n one-degree angles is said to have an angle measure of n degrees and represents a fractional portion of the circle.

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

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).

Geometry

4.G.A

Draw and identify lines and angles, and classify shapes by properties of their lines and angles

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

4.G.A.2 Worksheets

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.

4.G.A.3 Worksheets

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.

4th Grade common core math worksheets with answers is available online for free in printable & downloadable (PDF) format to teach, practice or learn mathematics. The K-4 curriculum includes the above cluster topics under the CCSS domains operations and algebraic thinking 4.OA, number and operations in base ten 4.NBT, number and operations - fractions 4.NF, measurement and data 4.MD and geometry 4.G. Refer the cluster headings and content standards for 4.OA.A, 4.OA.B, 4.OA.C, 4.NBT.A, 4.NBT.B, 4.NF.A, 4.NF.B, 4.NF.C, 4.MD.B, 4.MD.A, 4.MD.C and 4.G.A to select intended common core math worksheet for grade-4.

All common core math worksheets for 4th Grade provisioned with the corresponding answer key which contains step by step calculation or complete work with steps for each exercise in the worksheet. The key activities included in the 4th Grade common core math worksheets (questions and answers) to increase the student’s ability to apply mathematics in real world problems, conceptual understanding, procedural fluency, problem solving skills, critically evaluate the reasoning or prepare the students to learn 4th Grade common core mathematics in best ways is available in printable and downloadable (PDF & PNG) formats too.