Standard #: MA.3.AR.1.2


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Solve one- and two-step real-world problems involving any of four operations with whole numbers.


Examples


A group of students are playing soccer during lunch. How many students are needed to form four teams with eleven players each and to have two referees?

Clarifications


Clarification 1: Instruction includes understanding the context of the problem, as well as the quantities within the problem.

Clarification 2: Multiplication is limited to factors within 12 and related division facts. Refer to Situations Involving Operations with Numbers (Appendix A).



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 Access Points

Access Point Number Access Point Title
MA.3.AR.1.AP.2a Solve one- and two-step addition and subtraction real-world problems within 100.
MA.3.AR.1.AP.2b Solve one-step multiplication and division real-world problems. Multiplication may not exceed two single-digit whole numbers and their related division facts.


Related Resources

Formative Assessments

Name Description
Writing a Problem With a Quotient

Students are asked to solve a division equation and then interpret the quotient by writing a word problem that can be modeled by the equation.

Finding the Number of Groups

Students are asked to model an equal groups and an array problem in which the number of groups is unknown with multiplication or division equations and then solve each problem.

Finding an Unknown Product

Students are asked to model an equal groups and an array problem in which the product is unknown with multiplication or division equations and then solve each problem.

Finding the Group Size

Students are asked to model an equal groups and an array problem in which the group size is unknown with multiplication or division equations and then solve each problem.

Zoo Field Trip

Students solve a two-step word problem involving subtraction and division and then choose an equation that represents the word problem.

Party Beverages

Students solve a two-step problem requiring multiplication and addition and then write an equation to represent the problem.

Bake Sale

Students solve a two-step word problem involving addition and division and then write an equation to represent the problem.

Books at the Book Fair

Students solve a two-step word problem involving multiplication and subtraction and then write an equation to represent the problem.

Lesson Plans

Name Description
Chess Wish List

The 3rd grade chess club members will make two wish lists on how to spend $75 on chess related materials. Then they have to make two new wish lists on how to spend $750 on chess related materials.

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.

Best Vegetable Garden

The students will plan a vegetable garden, deciding which kinds of vegetables to plant, how many plants of each kind will fit, and where each plant will be planted in a fixed-area garden design. Then they will revise their design based on new garden dimensions and additional plant options.  Students will explore the concept of area to plan their garden and they will practice solving 1 and 2-step real-world problems using the four operations to develop their ideas.

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.

Science Space Camp

This MEA asks the students to compare information provided on various Science Space Camps to be attended by a student during the summer. They will take into account past attendee's reviews of the camps which should create interesting student discussions.

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.

Water Park Fun Day

This third grade MEA asks students to work as a team to figure out which activities they would like to do at the water park with a given amount of tickets and time. Students will make informed decisions about which activities and food and beverage items on which to spend their allotted tickets.

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.

Same Perimeter, Different Area

In this lesson, students are presented with a problem that requires them to create rectangles with the same perimeter but different areas.  Students also search for relationships among the perimeters and areas of different rectangles and find which characteristics produce a rectangle with the greatest area.

Make Your Way With Arrays

Students will solve multiplication and division word problems by drawing arrays and writing the related equation.

Kites for Education MEA

Kites for Education is a Modeling Eliciting Activity which presents students with an engineering challenge in which they must analyze data sets and develop a procedure for ranking different kite models. The product ranked as best by the students will hypothetically be sold to customers and the profit used to purchase school textbooks and supplies for school age children impacted by Haiti's devastating earthquake.

Hungry Zero

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

Subtraction Attraction

In this lesson, students will demonstrate fluency in using a standard algorithm to complete story problems involving subtraction with regrouping using multi-digit whole numbers.

Pet Store Partitive Division

In this lesson students will model partitive division through the real-world activity of a pet store owner.

Chip Chip Array!

Students work together to create arrays to represent given numbers.

Tasty Algebra: Using toasted O cereal to find the missing factor in a multiplication equation.

In this lesson students will use Cheerios to solve multiplication equations relating 3 whole numbers from word problems that include missing factors ranging from one through ten. Students will also argue the validity of multiplication equations that include missing factors and products with corresponding word problems.

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.

Way Too Much!

In this lesson, students will learn that in some word problems too much information is given. They will learn to identify what information is needed to solve a single digit multiplication problem and what is "additional information" or way too much! With this information, they will represent their answers using arrays and explain their thinking. This is a good lesson to use after students have become comfortable with multiplication and prior to introducing multi-step problems.

Original Student Tutorial

Name Description
Protect the Turtles: Solve Two-Step Word Problems

Solve some two-step word problems and write equations about sea turtles and how pollution created by people is impacting their survival in this interactive tutorial.  

Student Resources

Original Student Tutorial

Name Description
Protect the Turtles: Solve Two-Step Word Problems:

Solve some two-step word problems and write equations about sea turtles and how pollution created by people is impacting their survival in this interactive tutorial.  



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