Cluster 2: Use place value understanding and properties of operations to add and subtract. (Major Cluster)Archived

This Flash applet generates number fact questions for the game of Bingo. Each of the six levels focuses on a different range of number facts (addition, subtraction, and multiplication), which are displayed one at a time in a variety of question formats. The applet is intended for use in a class/group setting with a projector or interactive whiteboard. Downloadable cards for each level are available from the menu page. At any time in a game the "number facts so far" feature will reveal all the questions presented in the current round to facilitate review or verification of a winning board.

Type: Educational Game

Students are asked to explain each step of a subtraction problem completed by using the standard algorithm.

Type: Formative Assessment

Students are asked to explain each step of an addition problem completed by using the standard algorithm.

Type: Formative Assessment

Students are given three-digit numbers and asked to mentally subtract 10 from each number.

Type: Formative Assessment

Students are given three-digit numbers and asked to mentally add 100 to each number.

Type: Formative Assessment

Students are given three-digit numbers and asked to mentally add 10 to each number.

Type: Formative Assessment

Students are given three-digit numbers and asked to mentally add 100 to each number.

Type: Formative Assessment

Students are asked to solve three subtraction within 100 problems and are observed for the use of place value strategies.

Type: Formative Assessment

Students are asked to solve two addition problems and are observed for the use of place value strategies.

Type: Formative Assessment

Students add four two-digit numbers within the context of a word problem.

Type: Formative Assessment

Students are asked to solve an addition problem within 1,000.

Type: Formative Assessment

Students are asked to solve a subtraction problem within 1,000.

Type: Formative Assessment

Students are asked to add four two digit numbers by considering how another student added "friendly" numbers first.

Type: Formative Assessment

Students are asked to solve a subtraction problem involving money.

Type: Formative Assessment

Students are asked to solve a two-digit addition problem using a place value strategy and then are asked to explain why this strategy works.

Type: Formative Assessment

Student are asked to consider why a counting strategy works to solve subtraction problems.

Type: Formative Assessment

Students are asked to complete addition and subtraction problems that can be done efficiently by using properties of operations.

Type: Formative Assessment

The student is asked to solve an addition and a subtraction problem in which a decade (i.e., a multiple of ten) must be crossed.

Type: Formative Assessment

Students explain another student's written strategy for adding and written strategy for subtracting three-digit numbers.

Type: Formative Assessment

Students are asked to add four two digit numbers using place value.

Type: Formative Assessment

Students add four two-digit numbers without the context of a word problem.

Type: Formative Assessment

In this lesson, the students will be adding and subtracting 10 or 100 to/from a given three-digit number. The students will recognize patterns that occur and use these patterns to mentally identify the number that is 10 or 100 more or less than a given number.

Type: Lesson Plan

Students are provided the task of determining the total number of students in Kindergarten, first, and second grades in their school. Students will develop a plan to collect the information. Students will create a table to represent the data and find the total number of students.

Type: Lesson Plan

This Model-Eliciting Activity (MEA) is designed for a second grade level. Students will be working in small groups to figure out what companies to hire for the art gallery to have a successful charity event. The students will be evaluating criteria such as bands for the event, caterers, and artists. Students will need to add money to stay within a budget. They will write their procedure for making their selections.

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

This lesson teaches students how to apply the "make-a-ten" strategy to addition problems involving two-digit addends.

Type: Lesson Plan

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

In this lesson, students will use the hundreds chart to discover a strategy to subtract 9 from different numbers. Students will learn and practice the compensation strategy of subtracting 10 and then adding 1 back to get the final difference. Students will also learn and practice visualizing to “mentally see” the hundreds chart and use it as an efficient mental math strategy to subtract 9 from any given two-digit number.

Type: Lesson Plan

In this lesson, students will use the hundreds chart to discover a strategy to add 9 to different numbers. Students will then learn to visualize the hundreds chart as an efficient mental math strategy to add 9 to any given two-digit number.

Type: Lesson Plan

In this Model Eliciting Activity, MEA, students are asked to decide which factors are important in choosing the best cookie in a cookie contest. Students will take on the role of cookie critics to provide feedback to a teacher whose grade level is deciding which cookie to use for a fundraiser. They will rank order their choices from the best to worst cookie. Students will provide a detailed written explanation for how they decided to rank factors and their solution. They will show their work while adding up to 4 two-digit numbers to calculate the total number of votes.

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

Type: Lesson Plan

In this Model Eliciting Activity, MEA, the students will work in teams to use data to determine which classroom pet teachers should get for their classrooms based on several characteristics.

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

Type: Lesson Plan

In this lesson, the students will be adding and subtracting 10 to/from a given two-digit number. The students will recognize patterns that occur and use these patterns to mentally identify the number that is 10 more or less than a given number.

Type: Lesson Plan

Students will determine which pizza place should be used to cater parties at the Birthday Parties 'R' Us facility given a set of data. They will create a procedure for determining the best pizza place, 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

This is a lesson that will ensure students walk away with the vital skill of mentally finding 10 or 100 more or 10 or 100 less than a given three-digit number. There is a partner game included with a little competition involved.

Type: Lesson Plan

Students will learn how to transpose a horizontal addition equation with two-digit addends using a specialized vertical place value work mat. Students will "rip and regroup" to help understand how to regroup ten ones as one ten and move toward using a standard algorithm for addition.

Type: Lesson Plan

Students will explore various strategies to learn how to subtract three-digit whole numbers when regrouping across one place value is required.

Type: Lesson Plan

This lesson is not an introduction to adding and subtracting on the hundreds chart, but rather a practice of strategies to help develop procedural reliability. Students will use the hundred chart to add two two-digit numbers and subtract two-digit numbers from two-digit numbers to reveal hidden designs on the charts. Students will be encouraged to use place value to decompose the two-digit number that is being added or subtracted into tens and ones and then use the structure of the hundred chart to efficiently add the tens by moving up or down full rows before counting on or counting back the number of remaining ones.

Type: Lesson Plan

This lesson explores various addition strategies of two-digit numbers. The lesson focus is to encourage students to find and develop a reliable method they can use to add within 100. The lesson includes making an Addition Strategies Mini Booklet, which students can keep and use as a reference tool.

Type: Lesson Plan

This lesson is intended to be a cooperative inquiry-based activity used close to the end of second grade. The students will be actively engaged in adding and subtracting numbers within 100 while having fun completing Magic Squares.

Type: Lesson Plan

This lesson is a continuation of the "Sweet Values" and "Sweet Number Places" lessons also found on CPALMS. It is a different way of teaching addition and subtraction, by continuing a story that started with place value. In this lesson, students will learn to use the place value knowledge gained to solve word problems.

Type: Lesson Plan

In this lesson students will learn to use the place value knowledge gained to identify the number that is 10 more, 10 less, 100 more, or 100 less than a given number. This is the continuation of a story found in previous lessons "Sweet Addition and Subtraction"and "Sweet Place Values."

Type: Lesson Plan

This is an engaging hands-on activity which challenges students as they learn to find 10 or 100 more or less than a given number three-digit number.

Type: Lesson Plan

Learn how to create numbers that are 100 less as you wrap up the place value party in this interactive tutorial.

This is part 1 in five-part series. Click below to view the other tutorials in the series.

• Part 1
• Part 2
• Part 3
• Part 4
• Part 5 (current tutorial)

Type: Original Student Tutorial

Find 100 less and 100 more than a given 3-digit number by helping Kaylin and Quinten keep track of the place value party game points in this interactive tutorial.

This is part 1 in five-part series. Click below to view the other tutorials in the series.

• Part 1
• Part 2
• Part 3
• Part 4 (current tutorial)
• Part 5

Type: Original Student Tutorial

Find 10 more and 10 less than 3-digit numbers with regrouping to help Kaylin and Quinten keep score at the place value party in this interactive tutorial.

This is part 1 in five-part series. Click below to view the other tutorials in the series.

• Part 1
• Part 2 (current tutorial)
• Part 3
• Part 4
• Part 5

Type: Original Student Tutorial

Mr. Mahoney challenges students to solve 10 less and 10 more problems in a place value party planning adventure in this interactive tutorial.

This is part 1 in five-part series. Click below to view the other tutorials in the series.

• Part 1 (current tutorial)
• Part 2
• Part 3
• Part 4
• Part 5

Type: Original Student Tutorial

Learn to use place value to solve subtraction problems within 100 in this interactive, basketball-themed tutorial.

Type: Original Student Tutorial

Find the value of 3-digit numbers which are 10 less with regrouping as Kaylin and Quinten keep score at a place value party in this interactive tutorial.

This is part 1 in five-part series. Click below to view the other tutorials in the series.

• Part 1
• Part 2
• Part 3 (current tutorial)
• Part 4
• Part 5

Type: Original Student Tutorial

The purpose of this task is to help students articulate their addition strategies and would be most appropriately used once students have a solid understanding of coin values. This task would be best used in an instructional setting especially since the language is somewhat complex and the teacher might need to help students decode the task statement.

Type: Problem-Solving Task

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

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 has students adding two 2-digit numbers that require regrouping and the solution shows a concrete approach to the solution. This problem can be adjusted based on where students are in their understanding of addition involving two-digit numbers.

Type: Problem-Solving Task

The purpose of the task is to allow children an opportunity to subtract a three-digit number including a zero that requires regrouping. The solutions show how students can solve this problem before they have learned the traditional algorithm.

Type: Problem-Solving Task

This task is intended to assess adding of four numbers as given in the standard while still being placed in a problem-solving context. As written this task is instructional; due to the random aspect regarding when the correct route is found, it is not appropriate for assessment. This puzzle works well as a physical re-enactment, with paper plates marking the islands and strings with papers attached for the tolls.

Type: Problem-Solving Task

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

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

This 8-minute video demonstrates how to perform subtraction with regrouping. The presenter uses base-10 blocks to explain the rationale and to make a visual connection with the standard algorithm. The examples involve 2-digit and 3-digit numbers.

Type: Tutorial