Custom Search

5th Grade Number Activities

Comparing Decimals IWB Game

This page provides examples 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 elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking.  All files for the 5th Grade Number Activities listed are in PDF format and can be accessed using Adobe Reader.


               5th GRADE NUMBER ACTIVITIES: OPERATIONS AND ALGEBRAIC THINKING

Write and interpret numerical expressions
5.OA1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
Possible Activities:
Target Number Dash
Numerical Expressions Clock

5.OA2 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.
Possible Activities:
Verbal Expressions

Analyze patterns and relationships
5.OA3 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.

Possible Activities:
Function Table and Graph Template
Function Table and Coordinate Plane Paper
Addition on the Coordinate Plane
Subtraction on the Coordinate Plane
Math Read Aloud T
ask Card:
A Fly on the Ceiling


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

Understand the place value system
5.NBT1 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.
Comparing Digits

5.NBT2 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.

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

5th Grade Math Bundle

5.NBT3 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)

Possible Activities:
Representing Decimals with Base 10 Blocks
Representing Decimals in Different Ways
Decimal Place Value Chart (to thousandths)
Hunt for 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.
Possible Activities:

Comparing Decimals

5.NBT4 Use place value understanding to round decimals to any place.
Rounding Decimals to the Nearest Hundredth

Perform operations with multi-digit whole numbers and with decimals to hundredths
5.NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm.
Possible Activities:
Make the Largest Product (ver. 4)
Make the Smallest Product (ver. 4)
Multiplication Race (2 x 3 digit)

5.NBT6 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.

Division Strategy: Partial Quotients (ver. 3
Division Strategy: Partition the Dividend (ver. 2) 
Division Strategy: Multiplying Up 
Estimate the Quotient (ver. 2)
Who Has the Largest Quotient (ver. 3)
Who Has the Largest Quotient (ver. 4)
Write It, Solve It, Check It! (ver. 3)
Write It, Solve It, Check It! (ver. 4)

5.NBT7 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.

Possible Activities:
Decimals of the Week
Decimal Bag: Addition
Decimal Bag: Subtraction
Decimal Pictures
Adding Decimals
Subtracting Decimals ver. 1
Subtracting Decimals ver. 2
Total Ten
Decimal Cross Number Puzzles

Decimal Subtraction Spin
Decimal Addition to 500
Decimal Addition Bingo
Decimal Race to Zero
Decimals Magic Triangle
Decimal Magic Squares
Multiplying Decimals Word Prob.
Multiplying Decimals (whole x tenths)
Multiplying Decimals (whole x hund.)

 5th Grade E-Books (click on a cover for more information)

5th Grade Math Journals
Math Projects Gr. 3-5
5th Grade Math Vocabulary Resources
Computation Fluency Screeners and Skills Based Centers

 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.NF1 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.

Possible Activities:
Creating Equiv. Fractions to Add Unlike Fractions
Creating Equiv. Fractions to Subtract Unlike Fractions
Fraction Word Problems (unlike denominator)
 
Adding Mixed Numbers with Unlike Denominators
Subtracting Mixed Numbers with Unlike Denominators
Magic Squares (adding fractions)

Closest to 25
Mixed Number Sum
Mixed Number Difference

Math Read Aloud Task Card:
The Wishing Club

5.NF2 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.
Possible Activities:
Addition Word Problems with Fractions
Subtraction Word Problems with Fractions

Apply and extend previous understandings of multiplication and division to multiply and divide fractions
5.NF3 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.
Possible Activities:
Relating Fractions to Division Problems

5.NF4 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)

Possible Activities:
Multiplying Fractions by Dividing Rectangles
Fraction x Fraction Word Problems

Teaching Quotes

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.
Possible Activities:
Area Word Problems with Fractional Side Lengths

5.NF5 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
Possible Activities:
Multiplication and Scale Problems

5.NF6 Solve real world problems involving multiplication of fractions and mixed numbers, e.g. by using visual fraction models or equations to represent the problem.
Possible Activities:
Fraction x Mixed Number Word Problems
Whole Number x Mixed Number Models
Mixed Number x Fraction Models

5.NF7 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.
Possible 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.
Possible Activities:
Dividing a Whole Number by a Unit Fraction
Divide a Whole Number by a Unit Fraction

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?
Possible Activities:
Division of Fractions Word Problems


More 5th Grade Number Read-Alouds


More 5th Grade Number Resources


Return to Home Page