General Information
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Test Item Specifications
Fractions may only be multiplied by a whole number. Denominators of given fractions are limited to: 2, 3, 4, 5, 6, 8, 10, 12, 100.
None
Allowable
Sample Test Items (1)
Test Item # | Question | Difficulty | Type |
Sample Item 1 | Daniella fills a container with soil by using a bowl. The bowl holds How many cups of soil does the container hold? |
N/A | EE: Equation Editor |
Related Courses
Course Number1111 | Course Title222 |
5012060: | Grade Four Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
7712050: | Access Mathematics Grade 4 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current)) |
5012065: | Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current)) |
5012015: | Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current)) |
Related Resources
Educational Games
Name | Description |
Ice Ice Maybe: An Operations Estimation Game |
Various levels of difficulty make this game appropriate for multiple age and ability levels. Addition/Subtraction: The addition and subtraction of whole numbers, the addition and subtraction of decimals. Multiplication/Division: The multiplication and addition of whole numbers. Percentages: Identify the percentage of a whole number. Fractions: Multiply and divide a whole number by a fraction, as well as apply properties of operations. |
Fraction Quiz | Test your fraction skills by answering questions on this site. This quiz asks you to simplify fractions, convert fractions to decimals and percentages, and answer algebra questions involving fractions. You can even choose difficulty level, question types, and time limit. |
Formative Assessments
Name | Description |
How Much Sugar? | Students are asked to multiply a fraction by a whole number to solve a word problem and to represent the product with a visual fraction model. |
Training for a Race | Students are asked to multiply an improper fraction by a whole number to solve a word problem and use a visual model or equation to represent the problem. |
How Many One Fourths? | Students are asked to multiply a fraction by a whole number and to represent the product with a visual fraction model. |
Fractions and Multiples | Students use a visual fraction model to explain how many one sixths are in |
Lesson Plans
Name | Description |
Volunteering with the Mayor Part 2 | Volunteering is vital to keeping any community safe, inviting, and running smoothly! In this lesson, students will work together to plan a volunteer project they would like to see happen in their community; as well as, create a budget for their project. |
Volunteering with the Mayor | The mayor wants to build a new park in town! Volunteer your time and help the mayor design an expense report with a given budget for the new park in this lesson. |
Birthday Balloon Planner | In this Model Eliciting Activity, MEA, students will develop a procedure for choosing a balloon company for a birthday party and rank them from best to worst. Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student-centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx |
Modeling Multiple Groups of Fractions | In this inquiry lesson students will use a situational story to explore ways to find the total quantity of a fraction multiplied by a whole number using various models. |
Multiple Bake Sale Cookie Recipes with fractional ingredients | In this lesson students will explore ways to find the product of mixed numbers multiplied by a whole number using a real-world situation. |
"What's the part? What's the whole?" | This lesson provides a conceptual approach to multiplying a fraction times a whole number and a whole number times a fraction. Students are to use an understanding of the meaning of the denominator and numerator to figure out a strategy for finding the solution. |
Looking for Patterns in a Sequence of Fractions | Students generate and describe a numerical pattern using the multiplication and subtraction of fractions. |
Exploring Fraction Multiplication | Students will link multiplication of a whole number times a fraction with repeated addition and fraction circle manipulative. |
Modeling Multiplication with Fractions | Students will relate multiplication strategies with fractions through problem solving situations. This lesson connects prior understanding of multiplication and equal groups to multiplication of fractions. |
Multiple Bake Sale Cookie Recipes with fractional ingredients PART 1 | In this lesson students are guided through the process of multiplying a whole number and a fraction in a real-world situation. The lesson uses the number line to explain the process. |
Multiply Fractions and Whole Numbers with Models | Students will multiply a whole number by a fraction through set models and problem solving. |
Original Student Tutorials
Name | Description |
Buffy's Bakery Part 4- Multiplying a Fraction by a Whole: Standard Algorithm | Help Buffy multiply fractions by whole numbers using the standard algorithm in addition to visual fraction models in this bakery-themed, interactive tutorial. This is part 4 of a 4-part series. Click below to open other tutorials in the series. |
Buffy’s Bakery Part 3: Using Models to Multiply a Fraction by a Whole Number | Help Buffy the Baker multiply a fraction by a whole using models in this sweet interactive tutorial. This is part 3 of a 4-part series. Click below to open other tutorials in the series. |
Multiplying Fractions with Bake Sale Mania | Find the total amounts of repeated fraction quantities by multiplying a fraction by a whole number using visual models that represent real-world problems and cookies in this interactive tutorial. |
Problem-Solving Tasks
Name | Description |
Sugar in six cans of soda | This task provides a familiar context allowing students to visualize multiplication of a fraction by a whole number. This task could form part of a very rich activity which includes studying soda can labels. |
Connor and Makayla Discuss Multiplication | The purpose of this task is to have students think about the meaning of multiplying a number by a fraction, and use this burgeoning understanding of fraction multiplication to make sense of the commutative property of multiplication in the case of fractions. |
Tutorial
Name | Description |
Multiplying a Fraction by a Whole Number | In this Khan Academy video visual fraction models are used to represent the multiplication of a whole number times a fraction. |
Student Resources
Original Student Tutorials
Name | Description |
Buffy's Bakery Part 4- Multiplying a Fraction by a Whole: Standard Algorithm: | Help Buffy multiply fractions by whole numbers using the standard algorithm in addition to visual fraction models in this bakery-themed, interactive tutorial. This is part 4 of a 4-part series. Click below to open other tutorials in the series. |
Buffy’s Bakery Part 3: Using Models to Multiply a Fraction by a Whole Number: | Help Buffy the Baker multiply a fraction by a whole using models in this sweet interactive tutorial. This is part 3 of a 4-part series. Click below to open other tutorials in the series. |
Multiplying Fractions with Bake Sale Mania: | Find the total amounts of repeated fraction quantities by multiplying a fraction by a whole number using visual models that represent real-world problems and cookies in this interactive tutorial. |
Educational Games
Name | Description |
Ice Ice Maybe: An Operations Estimation Game: |
Various levels of difficulty make this game appropriate for multiple age and ability levels. Addition/Subtraction: The addition and subtraction of whole numbers, the addition and subtraction of decimals. Multiplication/Division: The multiplication and addition of whole numbers. Percentages: Identify the percentage of a whole number. Fractions: Multiply and divide a whole number by a fraction, as well as apply properties of operations. |
Fraction Quiz: | Test your fraction skills by answering questions on this site. This quiz asks you to simplify fractions, convert fractions to decimals and percentages, and answer algebra questions involving fractions. You can even choose difficulty level, question types, and time limit. |
Problem-Solving Tasks
Name | Description |
Sugar in six cans of soda: | This task provides a familiar context allowing students to visualize multiplication of a fraction by a whole number. This task could form part of a very rich activity which includes studying soda can labels. |
Connor and Makayla Discuss Multiplication: | The purpose of this task is to have students think about the meaning of multiplying a number by a fraction, and use this burgeoning understanding of fraction multiplication to make sense of the commutative property of multiplication in the case of fractions. |
Tutorial
Name | Description |
Multiplying a Fraction by a Whole Number: | In this Khan Academy video visual fraction models are used to represent the multiplication of a whole number times a fraction. |
Parent Resources
Problem-Solving Tasks
Name | Description |
Sugar in six cans of soda: | This task provides a familiar context allowing students to visualize multiplication of a fraction by a whole number. This task could form part of a very rich activity which includes studying soda can labels. |
Connor and Makayla Discuss Multiplication: | The purpose of this task is to have students think about the meaning of multiplying a number by a fraction, and use this burgeoning understanding of fraction multiplication to make sense of the commutative property of multiplication in the case of fractions. |