Cluster 1: Represent and solve problems involving addition and subtraction. (Major Cluster)Archived

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.

General Information
Number: MAFS.2.OA.1
Title: Represent and solve problems involving addition and subtraction. (Major Cluster)
Type: Cluster
Subject: Mathematics - Archived
Grade: 2
Domain-Subdomain: Operations and Algebraic Thinking

Related Standards

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Access Points

MAFS.2.OA.1.AP.1a
Solve addition and subtraction word problems within 100 using objects, drawings, or pictures.
MAFS.2.OA.1.AP.1b
Use pictures, drawings or objects to represent the steps of a problem.
MAFS.2.OA.1.AP.1c
Write or select an equation representing the problems and its solution.
MAFS.2.OA.1.AP.bb
Determine the unknown whole number in an equation relating four or more whole numbers. For example, determine the unknown number that makes the equation true in the equations 37 + 10 + 10 = ______ + 18, ? – 6 = 13 – 4, and 15 – 9 = 6 + .
MAFS.2.OA.1.AP.aa
Find the unknown number in an equation (+, - ).

Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Formative Assessments

What Number Makes the Equation True?:

Students find the missing number in an equation relating four whole numbers.

Type: Formative Assessment

Relating Four Whole Numbers:

Students find the missing number in an equation relating four whole numbers that involves addition and subtraction.

Type: Formative Assessment

Determine the Missing Addend:

Students find the missing addend in an addition equation relating five whole numbers.

Type: Formative Assessment

Compare (Bigger Unknown) Word Problems:

Students are asked to solve two Compare (Bigger Unknown) word problems: one involving the word more and one involving the word fewer.

Type: Formative Assessment

Solving a Two-Step Word Problem: Eating Grapes:

Students are asked to solve a two-step word problem that combines a Compare (Bigger Unknown) problem and a Compare (Smaller Unknown) problem.

Type: Formative Assessment

Compare (Smaller Unknown) Word Problems:

Students are asked to solve two Compare (Smaller Unknown) word problems: one involving the word more and one involving the word fewer.

Type: Formative Assessment

Solving a Two-Step Word Problem: Marbles in a Bag:

Students are asked to solve a two-step word problem that combines a Put Together (Result Unknown) problem and a Take From (Result Unknown) problem.

Type: Formative Assessment

Word Problems with Result Unknown:

Students are asked to solve three word problems: Add To (Result Unknown), Take From (Result Unknown), and Put Together/Take Apart (Total Unknown).

Type: Formative Assessment

Solving a Two-Step Word Problem: Going Fishing:

Students are asked to solve a two-step word problem that combines an Add To (Result Unknown) problem and a Compare (Difference Unknown) problem.

Type: Formative Assessment

One, Two, Three Problems to Solve:

Students are asked to solve three word problems: Put Together (Addend Unknown), Take From (Change Unknown), Add to (Change Unknown).

Type: Formative Assessment

How Many More and How Many Fewer?:

Students are asked to solve two Compare (Difference Unknown) word problems: a how many more and a how many fewer variation.

Type: Formative Assessment

Both Addends Unknown:

Students are asked to solve a Put Together/Take Apart (Both Addends Unknown) word problem and explain their strategies.

Type: Formative Assessment

Add To and Take From (Start Unknown):

Students are asked to solve two word problems: Add To (Start Unknown) and Take From (Start Unknown).

Type: Formative Assessment

Lesson Plans

Creating a Balanced Equation:

Students will relate using a balance to the mathematical symbol, the equal sign. Students will use their knowledge of the equal sign and addition and subtraction to find the unknown number in an equation with four or more numbers.

Type: Lesson Plan

The Mystery Of The Missing Number:

This lesson uses a fun math mystery theme to help your students determine an unknown whole number to balance an equation.

Type: Lesson Plan

Word Problems Galore! Differentiated Math Centers:

This lesson contains center rotations based on student ability of below, on or above grade level, including differentiated materials for each. It includes a diagnostic assessment and an exit slip to ensure each student's needs are being met. Students will work directly with the teacher for explicit instruction, they will work in a writing center to create a plan for solving word problems and in an independent center applying the skills.

Type: Lesson Plan

Into the Unknown...:

This lesson begins with a learning scale to determine where students believe they are in regard to determining unknown whole numbers in equations with four or more whole numbers. The teacher will then model solving unknowns in equations with 4 or more whole numbers using base 10 blocks. Students are then given the opportunity to practice the skill with a partner, and are asked to write to explain their work. The students will be engaged through the use of manipulatives, teacher questioning, and partner practice as they begin to work on solving unknowns in more complex equations than they may be used to.

Type: Lesson Plan

Table Top Problem:

The Junior League needs the students' help to determine which table rental company to use for their Charity Auction. With a tight budget, limited time, and a mistake in the order, students must create a procedure for determining the best rental company, write an explanation about their procedure, and present their recommendations to the class.

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.

Type: Lesson Plan

Sweet Donut Shop:

Everyone loves donuts. It is the students' task to help the Sweet Donut Shop determine what will be their newest donut shape- square, circle, or triangle. Based on the criteria provided, students will use their mathematical skills to determine what the donut will be.

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.

Type: Lesson Plan

Words and Subtraction:

In this lesson, students will build on their earlier work of representing and solving situational problems (result unknown, change unknown, start unknown). Students will use related equations or drawings.

Type: Lesson Plan

Let's Do Some Solving:

In this lesson students will solve one-step addition word problems using base ten blocks, hundred charts, drawings, or strategies based on place value and/or the relationship between addition and subtraction.

Type: Lesson Plan

Roll and Add Two Digit Numbers:

In this lesson students will use two dice to roll and add two-digit numbers. Students will also use their numbers to create and solve one-step addition word problems.

Type: Lesson Plan

Are Your Numbers Equal to My Numbers?:

This is a lesson that reinforces the meaning of the equal sign while students determine the unknown whole number in an addition equation.

Type: Lesson Plan

Amazing Animal Athletes (Addition and Subtraction Story Problems):

In this lesson, students will be able to solve one and two step word problems using addition and subtraction to compare human and animal athletic abilities. This lesson focuses on identifying the information given, comparing numbers, and identifying the missing information needed to solve the word problem using either addition or subtraction.

Type: Lesson Plan

Officer Buckle Can Help Our Schools!:

After reading, Officer Buckle and Gloria the students will be given a problem showing different ways safety problems have been solved at area schools. Through ranking, they will have to determine which manner was the most effective.

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.

Type: Lesson Plan

Kelly's Jelly:

Students use problem solving skills, data sets presented in a chart, two and three digit addition, writing skills and money skills to determine which brand of jelly beans they would like to purchase. The jelly beans differ in taste, quantity, and cost. The students must then check their procedure to determine if it will work when given an additional piece of data.

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.

Type: Lesson Plan

Ten-Hut! Part-2 (Subtraction):

This fun, kinesthetic lesson allows students to gain insight into how to use place value when subtracting a one-digit number from a two-digit number. The focus is on students using their bodies, as well as math manipulatives, to solve subtraction problems within 100 that do not require regrouping.

Type: Lesson Plan

Math Doctor: Which Operation?:

In this lesson, students will be learning interpretation strategies for addition and subtraction word problems, such as circling numbers, underlining key words, choosing operations, and showing their work to solve word problems.

Type: Lesson Plan

Success with Story Problems - Addition/Subtraction:

In this lesson, students will solve one and two-step real-world problems using a variety of problem-solving strategies.

Type: Lesson Plan

Original Student Tutorial

Balancing Act:

Help Tyler balance equations by finding the unknown number in this interactive tutorial.

Type: Original Student Tutorial

Problem-Solving Tasks

Saving Money 2:

The purpose of this task is for students to relate addition and subtraction problems to money and to situations and goals related to saving money. This task is an instructional task that brings many aspects of the mathematical work that second graders will be doing together with an opportunity to learn about financial literacy concepts.

Type: Problem-Solving Task

A Pencil and a Sticker:

The purpose of this task is to represent and solve problems involving addition and subtraction with the help of a bar diagram.

Type: Problem-Solving Task

Professional Development

Johnnie’s Cars - Using Direct Modeling and Counting Strategies to Solve Addition and Subtraction Story Problem Types:

This tutorial will help teachers identify the action in story problems as joining or separating, as well as the direct modeling and counting strategies used by your students to think about and solve them.

Type: Professional Development

Teaching Idea

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.

Type: Teaching Idea

Tutorials

Understanding the Meaning of the Equal Sign:

In this tutorial, you will learn more about what the equals sign means and how to balance equations.

Type: Tutorial

Solving a word problem using the standard algorithm for subtraction:

In this video tutorial from Khan Academy called "losing tennis balls", explore solving a two-step subtraction word problem using the standard algorithm.

Type: Tutorial

Adding two-digit numbers using the standard algorithm:

In this tutorial video from Khan Academy, called "Fence posts for horses", explore adding a two digit number to a two digit number using the standard algorithm

Type: Tutorial

Adding and subtracting on number line word problems:

In this video tutorial from Khan Academy, explore using a number line solve word problems involving more than two numbers.

Type: Tutorial

Subtracting with regrouping:

In this tutorial video from Khan Academy, a subtraction problem is solved which contains two numbers each with two-digits. The video demonstrates subtraction with regrouping using the standard algorithm, as well as a method using expanded form.

Type: Tutorial

Subtracting two-digit numbers without regrouping:

In this video tutorial from Khan Academy, explore subtracting two-digit numbers by using the standard algorithm. This video does not include regrouping.

Type: Tutorial

Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Original Student Tutorial

Balancing Act:

Help Tyler balance equations by finding the unknown number in this interactive tutorial.

Type: Original Student Tutorial

Problem-Solving Tasks

Saving Money 2:

The purpose of this task is for students to relate addition and subtraction problems to money and to situations and goals related to saving money. This task is an instructional task that brings many aspects of the mathematical work that second graders will be doing together with an opportunity to learn about financial literacy concepts.

Type: Problem-Solving Task

A Pencil and a Sticker:

The purpose of this task is to represent and solve problems involving addition and subtraction with the help of a bar diagram.

Type: Problem-Solving Task

Tutorials

Understanding the Meaning of the Equal Sign:

In this tutorial, you will learn more about what the equals sign means and how to balance equations.

Type: Tutorial

Solving a word problem using the standard algorithm for subtraction:

In this video tutorial from Khan Academy called "losing tennis balls", explore solving a two-step subtraction word problem using the standard algorithm.

Type: Tutorial

Adding two-digit numbers using the standard algorithm:

In this tutorial video from Khan Academy, called "Fence posts for horses", explore adding a two digit number to a two digit number using the standard algorithm

Type: Tutorial

Adding and subtracting on number line word problems:

In this video tutorial from Khan Academy, explore using a number line solve word problems involving more than two numbers.

Type: Tutorial

Subtracting with regrouping:

In this tutorial video from Khan Academy, a subtraction problem is solved which contains two numbers each with two-digits. The video demonstrates subtraction with regrouping using the standard algorithm, as well as a method using expanded form.

Type: Tutorial

Subtracting two-digit numbers without regrouping:

In this video tutorial from Khan Academy, explore subtracting two-digit numbers by using the standard algorithm. This video does not include regrouping.

Type: Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this topic.

Problem-Solving Tasks

Saving Money 2:

The purpose of this task is for students to relate addition and subtraction problems to money and to situations and goals related to saving money. This task is an instructional task that brings many aspects of the mathematical work that second graders will be doing together with an opportunity to learn about financial literacy concepts.

Type: Problem-Solving Task

A Pencil and a Sticker:

The purpose of this task is to represent and solve problems involving addition and subtraction with the help of a bar diagram.

Type: Problem-Solving Task

Tutorials

Solving a word problem using the standard algorithm for subtraction:

In this video tutorial from Khan Academy called "losing tennis balls", explore solving a two-step subtraction word problem using the standard algorithm.

Type: Tutorial

Adding two-digit numbers using the standard algorithm:

In this tutorial video from Khan Academy, called "Fence posts for horses", explore adding a two digit number to a two digit number using the standard algorithm

Type: Tutorial

Adding and subtracting on number line word problems:

In this video tutorial from Khan Academy, explore using a number line solve word problems involving more than two numbers.

Type: Tutorial

Subtracting with regrouping:

In this tutorial video from Khan Academy, a subtraction problem is solved which contains two numbers each with two-digits. The video demonstrates subtraction with regrouping using the standard algorithm, as well as a method using expanded form.

Type: Tutorial

Subtracting two-digit numbers without regrouping:

In this video tutorial from Khan Academy, explore subtracting two-digit numbers by using the standard algorithm. This video does not include regrouping.

Type: Tutorial