Standard 2: Solve problems involving the perimeter and area of rectangles.

Students are asked to use known lengths, areas, and perimeters to determine the perimeter of one section of a rectangle.

Type: Formative Assessment

Students are asked to solve real world problems by applying the formulas for area and perimeter.

Type: Formative Assessment

Students are given the area and width of a rectangle in the context of a word problem and are asked to determine the perimeter.

Type: Formative Assessment

Students are asked to find the dimensions of rectangles by applying the formulas for area and perimeter.

Type: Formative Assessment

Students are asked to find the perimeter of a hexagon in which the lengths of two sides are not given but can be found.

Type: Formative Assessment

Students are asked to find the length of a missing side on two polygons given the perimeter of each and the lengths of the other sides.

Type: Formative Assessment

Students are asked to find the whole number dimensions of every rectangle with a given perimeter and then find the area of each rectangle.

Type: Formative Assessment

Students are asked to find the whole number dimensions of every rectangle with a given area and then find the perimeter of each rectangle.

Type: Formative Assessment

This is Part 3 of the Zoning with Area and Perimeter lesson. Students will be asked to increase the area of each zone they created in Parts 1 and 2. They will then determine the perimeter of each zone based on its new area measurements.

Type: Lesson Plan

This is Part 2 of the Zoning with Area and Perimeter unit. Students will be asked to place and zone three schools to serve the students of the community. They will be provided the perimeters of each school and will need to maximize its area in this integrated lesson plan.

Type: Lesson Plan

Students will hold a town hall meeting to zone a new community. They will assign a different area measurement to each zone and then determine the zone’s perimeter. Students will explore how rectangles with the same area can have different perimeters in this integrated lesson plan.    

Type: Lesson Plan

In this Model Eliciting Activity (MEA), students will help a volunteer coordinator choose cleanup projects that will have the greatest positive impact on the environment. Students will learn about how litter and pollution can affect wildlife as well as how cleanup efforts can help. They will discuss the importance of volunteering in the community and utilize math skills such as calculating area in deciding how to rank the different cleanup projects.

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

The purpose of this lesson is to help students find the missing side's length for rectangular area problems, when the total area and one side's length is given. The use of square tiles, then graph paper and equations are used throughout the lesson to help students progress from conceptual to procedural knowledge.

Type: Lesson Plan

Students explore missing dimension challenges in real world area situations.

Type: Lesson Plan

This lesson will help your students learn about area and perimeter while imagining and drawing a blueprint of their dream house floor plan. They will have so much fun drawing and creating their blueprint they will forget that they are actually learning how to find area and perimeter. 

Type: Lesson Plan

The students will use prior knowledge of the area formula to design a garden with a  area. Students will compare gardens and note that rectangles with the same area could have different dimensions.

Type: Lesson Plan

In this Model Eliciting Activity (MEA), students are asked to help rank possible locations for a new park. They will need to perform certain calculations as part of the process, such as finding the unknown factor in a perimeter and area formula and multiply 2-digit by 1- and 2-digit numbers to calculate total 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. 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 are asked to plan a playground for a new park within a given budget and area limit. They will analyze the best use of playground equipment using a data table of area requirements and cost. Students will convert units within a single measurement system, calculate the area of a rectangle, and perform addition/subtraction calculations involving money using decimal notation.

Type: Lesson Plan

In this MEA, students decide which type of pioneer dwelling was the best to build if you were traveling west.

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 review finding perimeter of polygons and apply their knowledge of finding perimeter and area to compute unknown side lengths. Students draw rectangles with a specific perimeter and draw rectangles with a specific area but different perimeters.

Type: Lesson Plan

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.

Type: Lesson Plan

In this lesson, the students are employees of a fencing company. They are working with a customer to try and get the best deal and design of a fence that will fit the customer's area needs. Students will have to use reasoning skills in order to fill in missing information. Students will also discuss whether or not their designs have met the needs of the customer.

Type: Lesson Plan

The students will be able to use prior knowledge of the concept of area to relate area to multiplication and discover the formula: base x height. Students will practice by composing two-dimensional squares and rectangles and apply the area formula to build a birdhouse.

Type: Lesson Plan

Students hear a story about a middle-school student who wants to redecorate his bedroom. They measure the classroom wall dimensions, draw a scale model, and incorporate measurements for windows and doors to determine the area that could be covered by wallpaper. Students then hear more about the student's redecorating adventure and learn about expenses, budget constraints, and tradeoffs.

Type: Lesson Plan

Students will determine the validity of the statement, "All rectangles with the same area will have the same perimeter" through two investigations.

Type: Lesson Plan

In this lesson, students are tasked with drawing a house based on given directions. The directions include the area and perimeter of particular features of the house. This resource is recommended as a review of perimeter and area.

Type: Lesson Plan

In this MEA, students will work in collaborative groups to solve real-world, multi-step problems with whole numbers and decimals by using different mathematical operations such as addition, subtraction, multiplication and/or division. The students will be asked to assist a business/property owner in purchasing holiday lights for his property. They will need to read several ads and decide which product would be the best for the property. They will be provided with an office plan to calculate the perimeter of the building to then calculate how many holiday lights will need to be purchased and its total cost for each. They also need to take into consideration the owner's primary concerns. In the twist, the owner finds different holiday lights made from another material.

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

Learn to calculate the perimeter of rectangular and composite shapes to help April finish designing her dream home in this interactive tutorial. 

This is the second in a three-part series. Click below to open the other tutorials in the series.

• Dream House Dilemma, Part 1: Area
• Dream House Dilemma, Part 3: Perimeter and a Missing Side

Type: Original Student Tutorial

Learn how to calculate perimeter and find a missing side measurement for a shape given the perimeter in this interactive tutorial. 

This is the third in a three-part series about designing a dream house.  Click below to open the other tutorials in this series.

• Dream House Dilemma Part 1: Area
• Dream House Dilemma Part 2: Perimeter

Type: Original Student Tutorial

Help April calculate area and missing measurements for items in her perfect dream home in this interactive tutorial.

This is the first in a three-part series.  Click below to open the other tutorials in this series

• Dream House Dilemma Part 2: Perimeter
• Dream House Dilemma Part 3: Perimeter and a Missing Side

Type: Original Student Tutorial

Unlock an effective teaching strategy for making connections in area models in this Teacher Perspectives video for educators.

Type: Perspectives Video: Teaching Idea

The purpose of the task is for students to solve a multi-step multiplication problem in a context that involves area. In addition, the numbers were chosen to determine if students have a common misconception related to multiplication. Since addition is both commutative and associative, we can reorder or regroup addends any way we like. Students often believe the same is true for multiplication. 

Type: Problem-Solving Task

This Khan Academy tutorial video presents a step-by-step solution for finding the length and width of a table when given its area and perimeter.

Type: Tutorial

Find area of two rectangles to solve a word problem.

Type: Tutorial

In this tutorial video from Khan Academy, explore the relationship between area and perimeter. For example, if you know the area and the length, can you find the perimeter?

Type: Tutorial

Type: Video/Audio/Animation

Type: Video/Audio/Animation

Type: Video/Audio/Animation

This video can be played with Reading Passage 1 for the Volunteer Trash Cleanup MEA (199167).

Type: Video/Audio/Animation