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

Students are asked to solve two Take From (Result Unknown) word problems using pencil and paper or other appropriate manipulatives.

Type: Formative Assessment

Students are asked to solve two Add To (Change Unknown) word problems using pencil and paper or other appropriate manipulatives.

Type: Formative Assessment

Students are asked to solve two Take From (Start Unknown) word problems using pencil and paper or other appropriate manipulatives.

Type: Formative Assessment

Students are asked to solve two Compare (Smaller Unknown) word problems using pencil and paper or other appropriate manipulatives.

Type: Formative Assessment

Students are asked to solve word problems that call for addition of three addends.

Type: Formative Assessment

Students are asked to solve two Compare problems presented using the terms more than and fewer than.

Type: Formative Assessment

Students are asked to solve a Compare (Difference Unknown) word problem using pencil and paper or other appropriate manipulatives.

Type: Formative Assessment

Students are asked to solve two Compare (Difference Unknown) word problems within 20 using pencil and paper or other appropriate manipulatives.

Type: Formative Assessment

Students are asked to solve two Compare (Bigger Unknown) problems presented using the terms more than and fewer than.

Type: Formative Assessment

Students are asked to solve two Compare problems presented using the terms more than and fewer than.

Type: Formative Assessment

Students are asked to solve word problems that have three addends.

Type: Formative Assessment

Students are asked to solve two Take From (Start Unknown) word problems using pencil and paper or other appropriate manipulatives.

Type: Formative Assessment

Students are asked to solve two Take From (Change Unknown) word problems using pencil and paper or other appropriate manipulatives.

Type: Formative Assessment

Students are asked to solve two Put Together/Take Apart (Addend Unknown) word problems using pencil and paper or other appropriate manipulatives.

Type: Formative Assessment

Students are asked to solve two Put Together/Take Apart (Total Unknown) word problems using pencil and paper or other appropriate manipulatives.

Type: Formative Assessment

Students are asked to solve a Put Together/Take Apart (Both Addends Unknown) word problem using pencil and paper or other appropriate manipulatives.

Type: Formative Assessment

Students are asked to solve two Put Together/Take Apart (Addend Unknown) word problems using pencil and paper or other appropriate manipulatives.

Type: Formative Assessment

Students are asked to solve two Add To (Change Unknown) word problems using pencil and paper or other appropriate manipulatives.

Type: Formative Assessment

Students are asked to solve word problems that call for addition of three addends.

Type: Formative Assessment

Students are asked to solve word problems that call for addition of three addends.

Type: Formative Assessment

Students are asked to solve two Add To (Start Unknown) word problems using pencil and paper or other appropriate manipulatives.

Type: Formative Assessment

Students are asked to solve two Add To (Result Unknown) word problems using pencil and paper or other appropriate manipulatives.

Type: Formative Assessment

Students solve a Take From (Start Unknown) word problem.

Type: Formative Assessment

Students are asked to solve two Take From (Change Unknown) word problems using pencil and paper or other appropriate manipulatives.

Type: Formative Assessment

This video show a teacher using a variety of tools and software programs to help the students have a better understanding of math. By incorporating technology in the classroom, the teacher can spend time with students who struggle to understand the concept while others can continue to pass levels in the games to move on to the next concept.

Type: Instructional Technique

In this lesson, the students' learning is focused on using real world situations to solve add to problems with the result unknown. The students will be focusing on using objects and drawings to help them solve these problems. Students will also write an equation to represent each problem.

Type: Lesson Plan

In this lesson, students are shown a picture of a beach scene. They are asked to identify groups of ten within the picture. There are three pre-determined groups of ten with noticeable parts (people, starfish, coconuts). Using the picture, students will identify a group of ten, create an addition equation for the parts, and transfer the equation into sentences to tell the story.

Type: Lesson Plan

This lesson uses a familiar character, Pete the Cat, that proposes a comparison problem for students to explore.

Type: Lesson Plan

This MEA focuses on students' problem solving skills. After reading a story about what is in a piñata, students are asked to help a company find the best way to fill a piñata. It focuses on math skills, including counting and adding three numbers to make 20.

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

In this lesson, students will solve addition whole number word problems (within 20) with real-world scenarios by using manipulatives, drawings, or equations.

Type: Lesson Plan

In this lesson, students will use properties of operations to solve word problems that will require them to add 3 whole numbers whose sum is less than or equal to 20.

Type: Lesson Plan

In this lesson, the teacher shares the book, "Mmm... Cookie Simple Subtraction". The students follow along by representing the problems in the book with cookie manipulatives and recording the equations for each problem. The lesson incorporates a variety of subtraction problem types.

Type: Lesson Plan

In the story Curious George and the Pizza Party (by Rey, H.A., and Margret Rey), Curious George attends a pizza party for a friend. Now the man with the yellow hat wants to plan his own pizza party for Curious George, but he needs the students' help. Help the man with the yellow hat use the data about the different pizza companies in his area to rank the options from best to worst, considering the toppings offered, crust options, prices, and customer satisfaction ratings. Then the students will use the special promotions from each pizza company and their math skills to figure out which pizza place offers the best deals. Each team of students will write letters to the man with the yellow hat explaining how they ranked the companies and why they chose their rankings to help him choose the best pizza for George's party.

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

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

Students will use pattern blocks to create a quilt square for the Quick Quilters Society. They will have to consider information on a data chart to help them create their squares. They will have to add up the cost to make their square, too.

Type: Lesson Plan

In this lesson, students will be able to solve "compare" word problems.

Type: Lesson Plan

In this lesson, students will learn how to use their knowledge of beginning, middle, and end to solve word problems that include result unknown, change unknown, and start unknown. They will learn how to use a modified story map to write an equation to represent the problem.

Type: Lesson Plan

This activity introduces and provides practice for adding three whole numbers and includes three center activities for independent practice.

Type: Lesson Plan

Students will learn how to use manipulatives to solve missing addends in math problems.

Type: Lesson Plan

Join Juliana for her 8th birthday party! Learn to solve addition problems within 20 using objects and creating drawings in this interactive student tutorial. 

Type: Original Student Tutorial

Help Mario and Gretchen model and write equations for addition word problems, in this interactive tutorial.

This is part 1 in a 3-part series. Click below to explore the other tutorials in the series. 
Part 1: Addition Word Problems Around the Zoo (this one)
Part 2: Subtraction Word Problems Around the Zoo
Part 3: Word Problems Around the Zoo

Type: Original Student Tutorial

Help Mario and Gretchen model and write equations for subtraction word problems in this interactive tutorial.

This is part 2 in a 3-part series. Click below to explore the other tutorials in the series. 

Part 1: Addition Word Problems Around the Zoo

Part 2: Subtraction Word Problems Around the Zoo (this one)

Part 3: Word Problems Around the Zoo

Type: Original Student Tutorial

Help Gretchen and Mario differentiate between addition and subtraction word problems during their field trip to the zoo in this interactive tutorial.

This is part 3 in a 3-part series. Click below to explore the other tutorials in the series. 
Part 1: Addition Word Problems Around the Zoo
Part 2: Subtraction Word Problems Around the Zoo
Part 3: Word Problems Around the Zoo (this one)

Type: Original Student Tutorial

These problems explicitly describe one-to-one correspondences without using comparison language. Such problems are easier for students to solve than problems that use comparison language such as "How many more?" or "How many fewer."

Type: Problem-Solving Task

The purpose of this task is for students to relate addition and subtraction problems to money in a context that introduces the concept of scarcity. Scarcity occurs when you want or need more than you can have. Students may want to buy everything but will discover that it not possible with only $7 and they will have to make decisions.

Type: Problem-Solving Task

This instructional task asks students to consider all the decompositions of a number into two addends. Because first grade students may have trouble reading this task even thought they are intellectual capable of working on this problem, it will help if the teacher reads the prompt to the students and then has them work together in pairs or small groups.

Type: Problem-Solving Task

This task represents the Put Together/Take Apart with both addends unknown context for addition and subtraction. Once a student finds one correct answer, he/she can be encouraged to find another. Ask the student to use objects, pictures, or equations to represent each answer.

Type: Problem-Solving Task

Students may use either addition or subtraction to solve these types of word problems, with addition related to the action of putting together and subtraction related to the action of taking apart. Depending on how students think about these word problems, either is appropriate for the "addend unknown" problems. Seeing it both ways emphasizes the relationship between addition and subtraction.

Type: Problem-Solving Task

This task includes three different problem types using the "Add To" context with a discrete quantity.

Type: Problem-Solving Task

Students benefit from encountering one problem type limited to small numbers and to develop strategies for that type of problem before encountering mixed sets of problems and larger numbers that distract the student from the problem itself. Over time they will be able to distinguish between types of problems in mixed sets and apply the appropriate strategy to solve each.

Type: Problem-Solving Task

In this task, students work in pairs to measure a block using paperclips.

Type: Problem-Solving Task

The purpose of this task is for students to gain a better understanding of measurements with the example being the growth of a pet snake.

Type: Problem-Solving Task

This task could be used for either instructional or assessment purposes, depending on where students are in their understanding of addition and how the teacher supports them. The solution shown is very terse; students' solution strategies are likely to be much more varied.

Type: Problem-Solving Task

These task types represent the Take From contexts for addition and subtraction. This task includes the three different problem types using the Take From context: result unknown, change unknown, and start unknown. Students need experience and practice with all three types.

Type: Problem-Solving Task

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

In this tutorial video from Khan Academy, a word problem is solved with unit cubes, as well as with a missing addend addition equation and a subtraction equation.

Type: Tutorial

In this tutorial video from Khan Academy, explore place value relationships with tens and ones within 20.

Type: Tutorial

In this tutorial, you will learn how to solve a result unknown word problems: 10 - 2 = ?.

Type: Tutorial