Cluster 4: Solve problems involving the four operations, and identify and explain patterns in arithmetic. (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 presented with an equation and asked to find a pattern within the equation and to determine if the equation is true or not.

Type: Formative Assessment

Students are asked to consider what type of number results when adding two odd numbers and when adding three odd numbers.

Type: Formative Assessment

Students are asked to consider the parity of the sums of two even numbers, two odd numbers, and an even and an odd.

Type: Formative Assessment

Students are asked to find the missing numbers in a column of a multiplication table by using a pattern found within the table.

Type: Formative Assessment

Students are asked to determine if the total number of students in five classes will be even or odd.

Type: Formative Assessment

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

Type: Formative Assessment

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

Type: Formative Assessment

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

Type: Formative Assessment

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

Type: Formative Assessment

Students will organize and analyze data to create equations with variables. Students will use their understanding of equations to solve two-step word problems using data collected from the Morgan Woods Fall Festival Supply Sheet. Students will then communicate their understanding of the data through a written budget proposal sheet.

Type: Lesson Plan

Students will solve two-step word problems involving any of the four operations and represent these problems using equations.

Type: Lesson Plan

Students will think like chess club members to 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. 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 processes. 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 MEAs visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

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 attendees' reviews of the camps which should create interesting student discussions. They will use knowledge of operations to determine the difference in camp costs.

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 3rd grade MEA that requires students to use mathematical patterns to solve the problem, along with the analysis of data. After reading One Grain of Rice by Demi, students will look for ways to help Rani's relative find a new pattern so she can secure a large supply of rice to feed the people of her province in India. The twist is likely to cause controversy, so prepare for some strong debates.

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 Model Eliciting Activity, MEA, students 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. 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

Students will work a real-world problem to discover similarities and differences between a pattern that extends by adding 2 to each term and a pattern that extends by doubling each term. The problem is set in the real-world context of twin brothers who choose between different pattern rules given by their grandma to save for buying a car.

Type: Lesson Plan

Learn how Maritza uses multiplication to stuff school supplies into backpacks with this interactive tutorial.

Type: Original Student Tutorial

Learn how to determine whether a whole number is a multiple of another whole number by using multiplication facts and skip-counting. You will be able to help Detective Barker in solving this mystery of which multiples belong to which whole numbers.

Type: Original Student Tutorial

Determine if the sum of three odd or three even numbers will be odd or even as Lilly prepares for a math celebration 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 - Party Patterns: Odds and Evens in Addition
• Part 2 - Party Patterns: Odds and Evens in Addition

Type: Original Student Tutorial

Explore addition patterns to find if the sum of an odd and an even number will be odd or even 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 - Party Patterns: Evens and Odds in Addition
• Part 3 - Party Patterns: Evens and Odds in Addition (COMING SOON)

Type: Original Student Tutorial

Determine whether the sum of two odd numbers is odd or even and whether the sum of two even numbers is odd or even by helping Lilly prepare for a math celebration in this interactive tutorial.

This is part 1 in a 3-part series. Click below to explore the other tutorials in the series. 

• Part 2: Party Patterns: Evens and Odds in Addition (COMING SOON)
• Part 3: Party Patterns: Evens and Odds in Addition (COMING SOON)

Type: Original Student Tutorial

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.  

Type: Original Student Tutorial

For students who are unfamiliar with this language the task provides a preparation for the later understanding that a fraction of a quantity is that fraction times the quantity.

Type: Problem-Solving Task

The goal of this task is to help students understand the commutative property of addition by examining the addition facts for single digit numbers. This is important as it gives students a chance, at a young age, to do more than memorize these arithmetic facts which they will use throughout their education.

Type: Problem-Solving Task

This task asks students to study more carefully the make-a-ten strategy that they should already know and use intuitively. In this strategy, knowledge of which sums make a ten, together with some of the properties of addition and subtraction, are used to evaluate sums which are larger than 10. This task is intended for instruction purposes as it takes time to identify the patterns involved and understand the steps in the procedures.

Type: Problem-Solving Task

The purpose of this task is to study some patterns in a small addition table. Each pattern identified persists for a larger table and if more time is available for this activity students should be encouraged to explore these patterns in larger tables.

Type: Problem-Solving Task

The goal is to look for structure and identify patterns and then try to find the mathematical explanation for this. This problem examines the ''checkerboard'' pattern of even and odd numbers in a single digit multiplication table. The even numbers in the table are examined in depth using a grade appropriate notion of even, namely the possibility of reaching the number counting by 2's or expressing the number as a whole number of pairs.

Type: Problem-Solving Task

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.

Type: Student Center Activity

Solve a two-step word problem by drawing a picture and creating an equation.

Type: Tutorial