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:
Equation Match
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:
Addition on the Coordinate Plane
Subtraction on the Coordinate Plane
What's the Pattern?
Comic Books for Sale
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 |
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)
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
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.
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.
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.
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
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: |
It is better to solve one |
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