This page provides samples of 5th Grade 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 included in our **5th Grade Math Centers** eBook **(coming soon!).**

** 5th GRADE NUMBER ACTIVITIES: OPERATIONS AND ALGEBRAIC THINKING**

**Write and interpret numerical expressions****5.OA.A.1 **Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.**Sample Activities:**

Target Number Dash

Numerical Expressions Clock

**5.OA.A.2 **Write simple expressions that record calculations with
numbers, and interpret numerical expressions without evaluating them.
For example, express the calculation “add 8 and 7, then multiply by 2”
as 2 x (8+7). Recognize that 3 x (18932 + 921) is three times as large
as 18932 + 921, without having to calculate the indicated sum or
product.**Sample Activities:**

Equation Match**** Equivalent Expressions Match**

**Analyze patterns and relationships****5.OA.B.3 **Generate two
numerical patterns using two given rules. Identify apparent
relationships between corresponding terms. Form ordered pairs consisting
of corresponding terms from the two patterns, and graph the ordered
pairs on a coordinate plane. For example, given the rule “Add 3” and the
starting number 0, generate terms in the resulting sequences, and
observe that the terms in one sequence are twice the corresponding terms
in the other sequence. Explain informally why this is so.**Sample Activities:****What's the Pattern?**

Comic Books for Sale**** Addition on the Coordinate Plane ****** Subtraction on the Coordinate Plane**

** 5th GRADE NUMBER ACTIVITIES: NUMBER AND OPERATIONS IN BASE TEN**

**Understand the place value system****5.NBT.A.1 **Recognize that
in a multi-digit number, a digit in one place represents 10 times as
much as it represents in the place to its right and 1/10 of what it
represents in the place to its left.**Sample Activities:**

Comparing Digits **** Place Value Memory****** I Have...Who Has? (Place Value)**

**5.NBT.A.2 **Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.**Sample Activities:**

Multiplying a Whole Number by a Power of 10

Multiplying a Decimal by a Power of 10

** **Dividing a Whole Number by a Power of 10**

** **Dividing a Decimal by a Power of 10**

**5.NBT.A.3** Read, write and compare decimals to thousandths.

a.
read and write decimals to thousandths using base-ten numerals, number
names, and expanded form, e.g. 347.392 = 3x100 + 4x10 + 7x1 + 3 x (1/10)
+ 9 x (1/100) + 2 x (1/1000)**Sample Activities:**Hunt for Decimals

Representing Decimals

b.
Compare two decimals to thousandths based on meanings of the digits in
each place, using>, =, and < symbols to record the results of
comparisons.

Sample Activities:

Comparing Decimals

**5.NBT.A.4 **Use place value understanding to round decimals to any place.**Sample Activities:****Rounding Decimals**** on a Number Line (ver. 1)****** Rounding Decimals on a Number Line (ver. 2)****Perform operations with multi-digit whole numbers and with decimals to hundredths****5.NBT.B.5 **Fluently multiply multi-digit whole numbers using the standard algorithm.**Sample Activities:**

Multiplication Race (2 x 3 digit)**** Double and Halve (3 x 2 digit)** Make the Largest Product (ver. 4)**

**5.NBT.B.6** Find whole-number quotients of whole numbers with up to four-digit dividends and two-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.**Sample Activities:**

Division Strategy: Partition the Dividend (ver. 2)

Estimate the Quotient (ver. 2)**Write It, Solve It, Check It! (ver. 3)****** Division Strategy: Multiplying Up **

**5.NBT.B.7 **Add, subtract, multiply, and divide decimals to
hundredths, using concrete models or drawings and strategies based on
place value, properties of operations, and/or the relationship between
addition and subtraction, relate the strategy to a written method and
explain the reasoning used.

**Sample Activities:**Total Ten

Decimals Magic Triangle

Decimal Subtraction Spin

Double and Halve (decimals)

** Division with Decimals Word Problems

** Decimals of the Week

Division with Decimals Word Problems

** 5th GRADE NUMBER ACTIVITIES: NUMBER AND OPERATIONS - FRACTIONS**

Fractions of the Week Use as morning work or for homework!

**Use equivalent fractions as a strategy to add and subtract fractions****5.NF.A.1 **Add
and subtract fractions with unlike denominators (including mixed
numbers) by replacing given fractions with equivalent fractions in such a
way as to produce an equivalent sum or differences of fractions with
like denominators.

**Sample Activities:**

Closest to 25

**5.NF.A.2 **Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + ½ = 3/7 by observing that 3/7 < ½.

**Sample Activities:**

Create and Solve: Adding Unlike Fractions

Create and Solve: Subtracting Unlike Fractions

Adding Mixed Numbers Word Problems (Unlike Denominators) **** Subtracting Mixed Numbers Word Problems (Unlike Denominators****)****** Fraction Word Problems (Unlike Denominators) **

The Wishing Club (ver. 1)

The Wishing Club (ver. 2)

**Apply and extend previous understandings of multiplication and division to multiply and divide fractions****5.NF.B.3** Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g. by using visual fraction models or equations to represent the problem.

**Sample Activities:Interpret Fractions as Division**

problem five ways thanto solve five problems one way.~ George Polya |

**5.NF.B.4 **Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

a.
Interpret the product (a/b) x q as a parts of a partition of q into b
equal parts; equivalently, as the result of a sequence of operations
a x q÷b. For example, use a visual fraction model to show (2/3) x 4 = 8/3,
and create a story context for this equation. Do the same with (2/3) x
(4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd)

** Find a Fractional Part of a Group (ver. 2)** Multiply Unit Fractions by Unit Fractions**Multiply Non-Unit Fractions by Non-Unit Fractions** Double and Halve (Fractions) |

b. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

**Sample Activities:Find Areas of Rectangles**

**5.NF.B.5** Interpret multiplication as scaling (resizing) by:

a.
Comparing the size of a product to the size of one factor on the basis
of the size of the other factor, without performing the indicated
multiplication.

b. Explaining why multiplying a given number by a
fraction greater than 1 results in a product greater than the given
number; explaining why multiplying a given number by a fraction less
than 1 results in a product smaller than the given number, and relating
the principle of fraction equivalence a/b= nxa)/(nxb) to the effect of
multiplying a/b x 1**Sample Activities:**

**5.NF.B.6** Solve real world problems involving
multiplication of fractions and mixed numbers, e.g. by using visual
fraction models or equations to represent the problem.

**Sample Activities:**

Mixed Number x Fraction Models

Whole Number x Mixed Number Models**** Fraction x Fraction Word Problems****** Fraction x Mixed Number Word Problems**

Fraction x Fraction Word Problems

**5.NF.B.7** Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

a. Interpret division of a unit fraction by a non-zero whole number and compute such quotients. For example, create a story context for (1/3)÷4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3)÷4 = 1/12 because (1/12) x 4 = 1/3.**Sample Activities:**

Divide a Unit Fraction by a Whole Number

b. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4÷(1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) =20 because 20 x (1/5 )=4.**Sample Activities:**

Divide a Whole Number by a Unit Fraction (ver. 1)

Divide a Whole Number by a Unit Fraction (ver. 2)

c. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g. by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?**Sample Activities:****** Division with Unit Fractions Word Problems**