4th Grade Number Activities
This page provides samples of 4th Number Activities aligned with the Common Core State Standards. All activities are suitable for use in Math Centers, small group or whole class settings and are designed to provide opportunities for students to communicate their reasoning and mathematical thinking. All files are in PDF format. Sample activities listed in blue are available for immediate download. Activities listed in **grey are available in our 4th Grade Math Centers eBook (coming soon!).
4th GRADE NUMBER ACTIVITIES: OPERATIONS AND ALGEBRAIC THINKING
Numbers of the Week Use as morning work or for homework!
Use the four operations with whole numbers to solve problems
4.OA.A.1 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.
Sample Activities:
Multiplication as Comparison
4.OA.A.2 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.
Sample Activities:
Word Problems: Multiplicative Comparison
4.OA.A.3 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.
Sample Activities:
Word Problems: Interpret the Remainder
** Word Problems: Multi-Step
** Remainder Riddle
Math Read Aloud Task Card:
A Remainder of One
Gain familiarity with factors and multiples
4.OAB.4 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.
Sample Activities:
Exploring Multiples
Prime or Composite?
** Finding all Factors of a Number
** Factor Riddles
** Prime Number Investigation
** Game: Climb the Factor Ladder
** Game: How Many Factors?
Generate and analyze patterns
4.OA.C.5 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.
Sample Activities:
Square Numbers
** Triangular Numbers
** Numeric Patterns
** Patterns in Products
4th GRADE NUMBER ACTIVITIES: NUMBER AND OPERATIONS IN BASE TEN
Generalize place value understanding for multi-digit whole numbers
4.NBT.A.1 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.
Sample Activities:
Place Value Chart
** True or False? - Place Value Sort
4.NBT.A.2 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.
Sample Activities:
Place Value Triangle
Numeral, Word and Expanded Form
4.NBT.A.3 Use place value understanding to round multi-digit whole numbers to any place.
Sample Activities:
What's the Nearest Hundred? (4-digit)
Game: Roll and Round: Nearest Hundred (4-digit)
** What's the Nearest Ten? (3-digit)
** What's the Nearest Ten? (4-digit)
** What's the Nearest Thousand?
** Game: Roll and Round: Nearest Ten (3-digit)
** Game: Roll and Round: Nearest Thousand (5-digit)
Use place value understanding and properties of operations to perform multi-digit arithmetic
4.NBT.B.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.
Sample Activities:
Make the Largest Sum
** Make the Smallest Sum
** Write and Solve
** Addition and Subtraction Board
4.NBT.B.5 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
Sample Activities:
Decompose a Factor
Multiplication Strategy: Partial Products (ver. 1)
Multiplication Strategy: Doubling and Halving
Game: Double and Halve (ver. 1)
Make the Largest Product (ver. 1)
Make the Smallest Product (ver. 1)
Multiplication Race (1 x 3 digit)
** Game: Multiplication Race (2 x 2 digit)
** Game: Double and Halve (ver. 2)
** Estimate Products by Rounding
** Multiply by 10s, 100s and 1000s
** Using Partial Products and Area Models
** Multiplication Strategy: Partial Products (ver. 2)
** Make the Largest Product (ver. 2)
** Make the Largest Product (ver. 3)
** Make the Smallest Product (ver. 2)
** Make the Smallest Product (ver. 3)
4.NBT.B.6 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.
Sample Activities:
Division Strategy: Partial Quotients (ver.1)
Division Strategy: Partition the Dividend (ver. 1)
Estimate the Quotient (ver.1)
** Division Strategy: Partial Quotients (ver. 2)
** Who Has the Largest Quotient? (ver.1)
** Who Has the Largest Quotient? (ver. 2)
** Write It, Solve It, Check It! (ver. 1)
** Write It, Solve It, Check It! (ver. 2)
** Game: Remainders
4th GRADE NUMBER ACTIVITIES: NUMBER AND OPERATIONS - FRACTIONS
Extend understanding of fraction equivalence and ordering
4.NF.A.1 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.
Sample Activities:
Game: Build a Fraction Wall
** Finding Equivalent Fractions
4.NF.A.2 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.
Sample Activities:
Birthday Fractions
Who Ate More?
** Snack Time
** Fraction Compare
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers
4.NF.B.3 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.
Sample Activities:
Adding Like Fractions
Subtracting Like Fractions
** Fraction Addition with Pattern Blocks
** The Chocolate Bar Problem
** Sense or Nonsense Problems
Math Read Aloud Task Card:
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
Sample Activities:
Decompose a Fraction
Pizza Share
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.
Sample Activities:
** Word Problems: Adding and 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.
Sample Activities:
** Word Problems: Adding and Subtracting Fractions
4.NF.B.4 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).
Sample Activities:
Multiply a Unit Fraction by a Whole Number
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).
Sample Activities:
Multiply a Fraction by a Whole Number
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?
Sample Activities: |
Understand decimal notation for fractions, and compare decimal fractions
4.NF.C.5 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.
Sample Activities:
Game: Sums of One
** Word Problems: Adding Fractions with Denominators 10 and 100
4.NF.C.6 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.
Sample Activities:
Fractions and Decimals
4.NF.C.7 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.
Sample Activities:
Comparing Decimals
** Decimal Sort