Buncombe County Schools Mathematics
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What is happening in Fourth Grade? 

The Major Work in Fourth Grade Mathematics: 
Operations and Algebraic Thinking
Use the four operations with whole numbers to solve problems.
Number and Operations in Base Ten
Generalize place value understanding for multi-digit whole numbers.
Use place value understanding and properties of operations to perform multi-digit arithmetic.

Number and Operations--Fractions
Extend understanding of fraction equivalence and ordering.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. 
Understand decimal notation for fractions, and compare decimal fractions.

Parent Roadmap
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You can learn about what mathematical ideas your child is working on by exploring the resources found in each of the nine weeks below. You will find video clips, examples of student work, and games/activities to try at home!
Fourth Grade Unpacking Document
Major Work Standards
Fourth Grade Discussion Videos

Fourth Grade Parent Information from NCDPI

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First Quarter
During the first nine weeks, your fourth graders will extend meanings for the operation of multiplication. They will work on finding the multiples and factors of a number and categorizing numbers as composite or prime. They will use area model ( arrays) to model multiplication and to represent the application of the distributive property. They will connect multiplication to division and develop strategies for dividing by a one digit divisor. Fourth grade students will also work with multiplicative comparison problems and develop strategies for solving and notating multiplicative comparisons. The traditional US Algorithm for multiplication is studied in fifth grade after students have had ample opportunities to develop a deep understanding of the distributive property and multiplicative situations. Accessible algorithms are show below in the solution strategies section. Dot images present a visual representations that support development of the operation of multiplication.

Videos on the Array Model
        Representing Multiplication with an Array
        Multiplying with an area model
        Multiplicative Comparison
Online Games
        Factorize
        Chairs
        Factor Game
        Times Tables
        Product Game
Games
        Multiple Turn Over Game
        Multiple Turn Over Cards
Books to Read
       One Hundred Hungry Ants 
       A Remainder of One
Building Fluency
        Practicing Multiplication Combinations
        Multiplication Cards
Student Work Samples
         
        


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Second Quarter
During the second nine weeks, your fourth graders will be developing ideas about the attributes of 2-D and 3-D shapes, and how these attributes determine their classification. They will work with applying area and perimeter formulas to real world situations, the measurement of angles and the understanding of angles as rotation as well as geometric shapes made when two rays share an endpoint. They will continue developing ideas about the distributive property as they decompose numbers and combine partial products. Fourth grade students extend their strategies for solving division problems ( the US Algorithm for division is studied in sixth grade). They use partial quotients and multiplication to solve problems. An important part of the work with division is interpreting the remainder. 
Example:
There are 25 dozen cookies in the bakery. What is the total number of cookies at the bakery?

 
Student 1                                     Student 2 
25 x12                                          25 x 12 I broke up 25 into 5 groups of 5
I broke 12 up into 10 and 2             5 x 12 = 60 Since there are 5 groups of 5
25 x 10 = 250                                in 25    
25 x 2 = 50                                    60 x 5 = 300
250 +50 = 300
Student 3
25 x 12
I doubled 25 and cut 12 in half to get 50 x 6
50 x 6 = 300

What do we do with the remainder?  There are 126 students that need to be seated in the cafeteria. Each table will hold 8 students. How many tables will we need? 


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Third Quarter
The main focus of this nine weeks is on the major work fraction standards. Your child will build an understanding of fractions as equal parts and the meaning of fractions and decimal fractions. Your fourth grader will work on comparing the values of fractions and decimal fractions, and using representations to add fractions with like denominators. Conceptual understandings are built on strong connections to area and number line models (See below) as students explore the meaning of equivalent fractions. An application of previous understandings of multiplication will be connected as students learn  to multiply a whole number by a fraction. Example : ( 4 x 1/3 = 1/3 +1/3 +1/3+1/3= 3/3+1/3= 1 1/3)


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Fourth Quarter
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Solution Strategies
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Addition and Subtraction Strategies

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Multiplication and Division Strategies


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