Standard #: MAFS.3.OA.1.1 (Archived Standard)


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Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.


Remarks


Examples of Opportunities for In-Depth Focus

Word problems involving equal groups, arrays, and measurement quantities can be used to build students’ understanding of and skill with multiplication and division, as well as to allow students to demonstrate their understanding of and skill with these operations.



General Information

Subject Area: Mathematics
Grade: 3
Domain-Subdomain: Operations and Algebraic Thinking
Cluster: Level 1: Recall
Cluster: Represent and solve problems involving multiplication and division. (Major Cluster) -

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.

Date Adopted or Revised: 02/14
Content Complexity Rating: Level 1: Recall - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    N/A

    Assessment Limits :
    Whole number factors may not exceed 10 x 10. Students may not be required to write an equation to represent a product of whole numbers.
    Calculator :
    No
    Context :

    Allowable



Sample Test Items (2)

Test Item # Question Difficulty Type
Sample Item 1 Tom told Mary he planted 48 flowers in the rectangular-shaped garden. Which sentence could Mary use to describe how the flowers were planted?

 

N/A MC: Multiple Choice
Sample Item 2 At the beach in Key Largo, Diana saw 10 dolphins each day for 7 days. Which of the following could be used to find the total number of dolphins Diana saw? 

 

N/A MC: Multiple Choice


Related Courses

Course Number1111 Course Title222
5012050: Grade Three Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712040: Access Mathematics Grade 3 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012055: Grade 3 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))


Related Resources

Educational Game

Name Description
Arithmetic Workout This interactive Flash applet offers three ways for students to practice basic fact skills related to multiplication and division. Users control the challenge level by choosing the size of the blank multiplication grid displayed by the applet. In Multiply mode users type in the product that completes a multiplication sentence. In Factor mode users click a grid cell that matches a given product. In Divide mode users type in a missing factor in the displayed multiplication sentence. A sound effect and timing feature are optional.

Formative Assessments

Name Description
Writing Multiplication Word Problems

Students are asked to write multiplication word problems prompted by pictures and then to write both an addition and a multiplication expression that can be used to solve the problem.

What does the 21 mean?

Students are given a context for a multiplication problem and asked to determine how to solve it and what the product means.

Multiplication on the Number Line

Students are asked to explain how to use a number line for multiplying, in the context of a word problem.

Interpreting Multiplication

Students are asked to explain what 5 x 7 means and to provide a real-world context for 5 x 7.

Lesson Plans

Name Description
Cheezy Arrays

This lesson is a hands-on activity that includes multiplication using arrays. The lesson also serves as a great transition from repeated addition to multiplication.

“Shoot for the Stars to Introduce Multiplication”

Students will learn how multiplication is related to repeated addition and use different strategies to find the product of equal groups situations.

Each Orange Had 8 Slices: Multiplying Equal Groups

Students will learn how to represent and count equal groups through the use of literature and situational story problems. Using the book Each Orange Had 8 Slices, students will use manipulatives to find the total number of objects in a collection of equal groups. Students will learn to write corresponding multiplication equations.

How many Circles? How many Stars?

“How many Circles? How many Stars?” is an activity that will give students a visual representation of multiplication. It will also help students see multiplication as the combining of equal-size groups that can be represented with a multiplication equation.

Hip, Hip, Array!

Students will develop their understanding of arrays by building arrays using hands on activities.  Students will have the opportunity to play a game to practice their skills with arrays. 

The Poo on my Shoe! Multiplying with five,ten, and two

The lesson is developed to introduce the bridging concept of repeated addition to multiplication. Students will be able to work with a partner and build flips books to demonstrate understating of grouping to multiply.

Circles and Stars

This is an introductory lesson to prepare students to move from using repeated addition to using multiplication to represent equal groups situations.

Florida Fish Aquarium Challenge

This task involves having students look at three different fish tank sizes and determine, using a data list, which fish will fit in these fish tanks based on their size. They will also need to look at other characteristics to determine how to group the fish together. Students will have to either multiply, divide or add repeatedly in order to find different solutions on how to place the fish in each tank size.

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

Group Singing Lessons

Third grade students will decide which performing arts facility their parents should choose for them to take group singing lessons at. They will apply multiplication, division, and time skills for telling time to the nearest minute and time intervals. Students will work collaboratively as a group to analyze this Model Eliciting Activity (MEA), and engage in collaborative discussion that involves higher level critical thinking. They will write argumentation letters on which performing arts facility is the best choice.

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. Click here to learn more about MEAs and how they can transform your classroom.

Let's Multiply using Groups and Arrays

In this lesson, students will use pictures in arrays and groups to write multiplication story problems, write an equation, solve the problem, and identify the factors and products.

Product Productions

The lesson uses a movie making theme to teach the characteristics and purpose of arrays, as well as the vocabulary, factor and product.

Just Group It

Students will be able to use counters to create equal groups and write multiplication equations to represent these representations.

Arrays Show the Way to the Multiplication Chart

This is an introductory lesson to explore the use of arrays to solve multiplication problems. Students build arrays and save the arrays in a class Multiplication Chart. They learn to use arrays to find products and factors, and by placing them in the Multiplication Chart, they learn how to read the chart. They learn how to write equations to represent situations that are modeled with arrays. An overall theme is the organization of the multiplication chart and how it includes arrays within.

Hungry Zero

The definition of the Zero Property of Multiplication will be analyzed, modeled and practiced.   

Chip Chip Array!

Students work together to create arrays to represent given numbers.

Array to Multiply

In this lesson, students will understand the concept of arrays and will be able to create/draw an array for multiplication sentences. Engaging center game is used to help students with concrete visual representation of multiplication sentences.

Amazing Arrays

This is a hands-on lesson for introducing and practicing building arrays to create models that represent the distributive property of multiplication, and then using those arrays to draw models of the equations they represent.

Apples, Oranges, and Bananas of Math?

In this lesson, the students will work in independently or in small groups to write equations to represent situations as well as their own math riddles around the concepts of multiplication. The teacher will use the book, The Grapes of Math by Greg Tang, to support this lesson.

How Many Seeds in a Pumpkin?

In this hands-on math exploration, students will use knowledge of estimation and multiplication to develop strategies for estimating how many seeds are in a medium-sized pumpkin.

Introduction to Multiplication using Literature This lesson plan can be used to introduce the concept of multiplication to students through the use of literature. The story Amanda Bean's Amazing Dream is used to demonstrate the different ways to count items and how multiplication can make that process much faster.
Magnificent, Amazing Multiplication Arrays!

In this lesson students will be creating, describing, and analyzing arrays as they relate to multiplication. In addition, they will be working on hands on activities that allow them to justify their answers and prove their reasoning.

Original Student Tutorial

Name Description
Monkeying Around with Multiplication

Come play with Marty the monkey as he teaches you how to understand the concept of multiplication in this interactive tutorial. 

Presentation/Slideshow

Name Description
Multiplication with Arrays PowerPoint presentation showing the relationship between arrays, multiplication, and repeated addition.

Student Center Activity

Name Description
Edcite: Mathematics Grade 3

Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.

Teaching Idea

Name Description
Shamu Math-SeaWorld Classroom Activity In this activity, the students demonstrate that numbers can be used to describe various quantities and relationships between quantities. Students gain experience adding, subtracting, multiplying, and dividing - building their understanding of how numbers are put together and taken apart. Students connect what they know to symbolic representation using number sentences.

Text Resource

Name Description
All About Multiplication: Bibliography List of five children's books with a multiplication focus (found on NCTM Illuminations site under "All About Multiplication").

Tutorials

Name Description
Using arrays to multiply

In this Khan Academy video tutorial, learn to use arrays and repeated addition to multiply. This is not an introductory video to either concept, to either concept. An array of 8 items is used to show how one array can be represented in multiple ways, using different factors of the whole.

Multiplication as groups of objects

In this Khan Acadmey tutorial video, learn to use arrays to show different groups of objects while relating this to multiplication.

Intro to multiplication

In this Khan Academy tutorial vidoe, learn to use arrays and repeated addition to visualize multiplication.

Virtual Manipulative

Name Description
Pan Balance - Numbers

This tool helps students better understand that equality is a relationship and not an operational command to "find the answer." The applet features a pan balance that allows the student to input each half of an equation in the pans, which responds to the numerical expression's value by raising, lowering or balancing.

Student Resources

Original Student Tutorial

Name Description
Monkeying Around with Multiplication :

Come play with Marty the monkey as he teaches you how to understand the concept of multiplication in this interactive tutorial. 

Student Center Activity

Name Description
Edcite: Mathematics Grade 3:

Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.

Tutorials

Name Description
Using arrays to multiply:

In this Khan Academy video tutorial, learn to use arrays and repeated addition to multiply. This is not an introductory video to either concept, to either concept. An array of 8 items is used to show how one array can be represented in multiple ways, using different factors of the whole.

Multiplication as groups of objects:

In this Khan Acadmey tutorial video, learn to use arrays to show different groups of objects while relating this to multiplication.

Intro to multiplication:

In this Khan Academy tutorial vidoe, learn to use arrays and repeated addition to visualize multiplication.

Virtual Manipulative

Name Description
Pan Balance - Numbers:

This tool helps students better understand that equality is a relationship and not an operational command to "find the answer." The applet features a pan balance that allows the student to input each half of an equation in the pans, which responds to the numerical expression's value by raising, lowering or balancing.



Parent Resources

Tutorials

Name Description
Using arrays to multiply:

In this Khan Academy video tutorial, learn to use arrays and repeated addition to multiply. This is not an introductory video to either concept, to either concept. An array of 8 items is used to show how one array can be represented in multiple ways, using different factors of the whole.

Multiplication as groups of objects:

In this Khan Acadmey tutorial video, learn to use arrays to show different groups of objects while relating this to multiplication.

Intro to multiplication:

In this Khan Academy tutorial vidoe, learn to use arrays and repeated addition to visualize multiplication.



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