4th Grade Number Activities
The tables below provide examples of 4th Grade Number Activities aligned with the Common Core State Standards. These activities are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. All 4th grade number activities are suitable for use in Math Centers, small group or whole class settings. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files for the 4th grade number activities listed are in PDF format and can be accessed using Adobe Reader.
4th GRADE NUMBER ACTIVITIES
| OPERATIONS AND ALGEBRAIC THINKING | Use the four operations with whole numbers to solve problems
4.OA1 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.
Representing Multiplicative Comparison Problems
4.OA2 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.
Possible Activities:
Sample Multiplicative Comparison Problems
4.OA3 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.
Possible Activities:
Multistep Word problems
Interpreting Remainders
Gain familiarity with factors and multiples
4.OA4
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.
Possible Activities:
Choose a Number Project
Finding Multiples
Prime Number Hunt
Common Multiples
Least Common Multiple
Find the Factor
Generate and analyze patterns
4.OA5
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.
Square Numbers
Triangular Numbers
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4th GRADE NUMBER ACTIVITIES
| NUMBER AND OPERATIONS IN BASE TEN | Generalize place value understanding for multi-digit whole numbers
4.NBT1 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.
4.NBT2 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.
Numeral, Word and Expanded Form
4.NBT3 Use place value understanding to round multi-digit whole numbers to any place.
Possible Activities:
Round to the Nearest Ten
Round to the Nearest Hundred
Use place value understanding and properties of operations to perform multi-digit arithmetic
4.NBT4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.
Addition and Subtraction Number Stories
4.NBT5 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
Possible Activities:
Multiplication Distributive Split
Multiplication Number Story
Breaking Apart a Factor
Multiplication Bump (x100)
Make the Largest Product
Make the Smallest Product
4.NBT6 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
Possible Activities:
Division Split (1 digit divisor)
Remainders
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4th GRADE NUMBER ACTIVITIES
| NUMBER AND OPERATIONS - FRACTIONS | Extend understanding of fraction equivalence and ordering
4.NF1 Explain why a fraction a/b is equivalent to a fraction (nxa)/(nxb) 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.
Possible Activities:
Creating Equivalent Fractions
Fraction Wall Game
4.NF2 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 ½. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with comparisons with symbols >, =, or <. and justify the conclusions, e.g., by using a visual fraction model.
Birthday Fractions *new!
Pattern Block Fractions *new!
Who Ate More?
Fraction Compare
Fraction Cards
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers
4.NF3 Understand a fraction a/b with a>1 as a sum of fractions 1/b.
a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
Possible Activities:
Adding Fractions with Like Denominators
Adding Fractions Using Pattern Blocks
Possible Read Aloud: (see task card in right hand column)
- Ed Emberley's Picture Pie
b. Decompose a fraction into a sum of fraction 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
Decomposing Fractions
c. 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.
Mixed Number Word Problems (like denominators)
Adding Mixed Numbers
Subtracting Mixed Numbers
d. 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.
Fraction Word Problems (like denominator)
Addition Word Problem with Fractions
Subtraction Word Problem with Fractions
4.NF4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number:
a. 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 of 5 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4).
Models for Fraction Multiplication *new!
b. 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) = (nxa)/b).
c. 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?
Possible Activities:
Whole Number x Fraction Word Problems
Possible Read Aloud: (see task card in right hand column)
- Full House: An Invitation to Fractions
Understand decimal notation for fractions, and compare decimal fractions
4.NF5 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.
Possible Activities:
Sums of 1
4.NF6 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.
Possible Activities:
Decimals in Money
Representing Decimals with Base 10 Blocks
Decimal Riddles
4.NF7 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.
Possible Activities:
Comparing Decimals
Decimal Sort
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