Apply and extend previous understandings of multiplication to:
Model and explain how fractions can be represented by multiplying a whole number by a unit fraction, using this understanding to multiply a whole number by any fraction less than one.
Solve word problems involving multiplication of a fraction by a whole number.
Step 1: Lesson Standards & Learning Goals
Students use a unit fraction as well as repeated addition to establish a foundation for the process of multiplying a whole number by a fraction (ex. 4 x 2/3 = 2/3 + 2/3 + 2/3 + 2/3 = (4x2)/3). Students use both area and length models to explore and solve word problems. All fractions are limited to the denominators of 2, 3, 4, 5, 6, 8, 10, 12.
This standard also includes situations involving finding the fractional amount of a set of objects. In this standard the number in a set is limited to whole numbers within 20. This work should use set models, arrays, or reasoning about fractions as strategies to explore fractions of a set situations.
How can visual models be used to help with multiplying a whole number by a fraction?
How can understanding multiplication be helpful in multiplying fractions by whole numbers?
How can repeated addition help with understanding multiplication of a fraction and a whole number?
How can I determine the fractional part of a set?
Area model
Arrays
Equation
Fractional amount
Length model
Multiplication
Operation
Repeated Addition
Set
Set model
Sum
Unit Fraction
Use repeated addition and models find the product of a fraction multiplied by a whole number.
Make connections between repeated addition and multiplication involving fractions.
Determine the fractional part of a set or group by relating it to multiplication of a fraction by a whole number (e.g., 2/3 of the children are girls, 2/3 of 12 is the same as 2/3 x 12 = 8).
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
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 5 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4).
Solve word problems involving multiplication of a fraction by a whole number by using visual fraction models and equations to represent the problem.
Models can be used to find the product of a whole number and a fraction.
To multiply a fraction by a whole number, one must multiply the whole number by the numerator of the fraction and then divide the product by the denominator of the fraction.
Fractions may represent parts of a set or group with that set or group being the whole.
Models, including arrays, area models, and number lines, can be used to show multiplication of a fraction and a whole number.
Repeated addition is one way of representing multiplication of a fraction and a whole number.
Step 2: Assessment
NC.4.NF.4 - CO - Howell - Jan. 17, 2023
NC.4 - Cluster 7 Review - CO - Howell - Mar. 6, 2023
NC.4 Benchmark Review Practice - CO - Howell - Mar. 31, 2023
Step 3: Lesson Instructions
“How Do You . . . ?”
With any skill that is a process, as a review ask students individually or in pairs to write down the steps they believe are involved. Have students return to this activating strategy at the end of the lesson to revise, based on their new learning.
Anchor Chart
Image: https://ccwes.wilkescountyschools.org/apps/pages/index.jsp?uREC_ID=429152&type=d&pREC_ID=1854577
Video Clip
Tools 4 NC Teachers
Cluster 7 Lessons
Math Expressions - (Barnes and Hearne) - Standards Alignment
Motivation Math
Think Up! Math
Khan Academy - 4th Grade Math
Eureka Math/Engage NY Free Resources
Embarc Online (Eureka Math) -
Zearn Math - Online Support Practice for Eureka Math (Requires free account)
Khan Academy Eureka Math Grade 4
North Carolina Collaborative for Mathematics Learning - Grade 4 Instructional Framework
NCDPI Resources
Thinking Blocks - Word Problem Practice with Bar Diagrams
YouTube Videos
Fact Practice
