PERIMETER OF RECTANGLES, SQUARES AND TRIANGLES (Bilingual English & Spanish)

📖Standard

CCSS.MATH.CONTENT.3.MD.D.8 Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.

CCSS.MATH.CONTENT.4.MD.A.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems.

⏰LESSON TIME

30 minutes without gameplay, 45 minutes with gameplay

📃 SUMMARY

In this lesson plan, students will learn how to compute perimeter, apply those skills in game-based practice problems and solve perimeter problems using an interactive web-based activity with virtual manipulatives.

📚 Lesson Plan

1. Video: How to Find the Perimeter and Polygons (3:00)

Watch this animated video that explains how to find the perimeter of different polygons, including rectangles, triangles and squares.

Or watch it in Spanish: ¿Cómo encontrar el perímetro de un polígono? (3:12)

2. INSTRUCTIONAL ACTIVITY WITH ASSESSMENT: Interactive perimeter problems activity

This digital activity walks students through calculating the perimeter of different shapes including a rectangle, a square and a circle in a narrative-driven context around the farm and integrates virtual manipulatives. Students are provided in-activity instruction as they are presented with and explained the formulas to use when they need to use them. Additionally, with in-activity scaffolding, students can “get a hint” on each problem.

You may elect to read and work through it during class time, giving students time to complete the problems or assign it as an individual assignment.

If your students have not used virtual manipulatives with Google slides previously, here is a 30-second introduction.

Video: Use Virtual Manipulatives in Google Slides (0:27)

Or watch the video in Spanish: Usar manipulativos en Google Slides (0:27)

Estimated time to complete: 20-25 minutes

3. GAME: Making Camp Premium or Spirit Lake

Have students play Making Camp Premium games for 15-20 minutes (remainder of the lesson time) specifically including these icons.

Perimeter is also covered in the second half of Spirit Lake: The Game.

Assessment

In addition to the virtual manipulative activity above,  remember that you can always see your students’ performance on the problems in Making Camp Premium and Spirit Lake by accessing the reports page. You will need to enter the password you received during training.

State Standards

Minnesota Math Standard 3.3.2.2 – Find the perimeter of a polygon by adding the lengths of the sides.

Minnesota Math Standard 3.3.2.3 – Measure distances around objects.

Related Lesson

“PERIMETER OF RECTANGLES, SQUARES AND TRIANGLES” – The English only version of the lesson plan above with English only resources.

Measurement and Augmented Reality

📖STANDARDS

CCSS.MATH.CONTENT.3.MD.B.4: Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units— whole numbers, halves, or quarters.

CCSS.MATH.CONTENT.2.MD.A.2: Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen.

40-50 minutes

📲TECHNOLOGY REQUIRED

The teacher will need a computer with projector or smart board to show the presentation. Students will need a tablet or phone to do the activity and a measurement app installed. They will also need a ruler or tape measure.

This is the second of three lessons that use Augmented Reality apps. If you did the first lesson on perimeter, you already have one of the measurement apps installed.

You’ll need a measurement app installed.

If using an iPhone, the Measure app should already be installed. On iPads, it may not be. Before starting this lesson, we recommend you check and, if not, parents or teachers can download the app for free here.

For Android Devices

Android devices do not come with a measure app. I tried several free AR measurement apps and all were difficult to use. I can’t honestly recommend any. Not an augmented reality app, but students can use the Ruler app by NixGame. It is simply a ruler on a phone and you can only use it to measure items the length of the phone/ tablet. We tried a lot of ruler and measure apps on Google Play and this is the one we recommend as the easiest for elementary school students to use and with the least annoying ads.

📃 Summary

Students learn that augmented reality is a type of computer application that adds to (augments) the reality we see. They learn that the measure apps on phones and tablets are a type of augmented reality. Students use an app to measure items, then use a ruler or tape measure to measure again. They plot their measurements on line plots and compare the two measures.

📚 LESSON

Short Presentation on Augmented reality.

Use this Google slides presentation to explain what is augmented reality, with examples. It also includes the video below.

Watch a video of an augmented reality app

This one-minute video is also in the Google slides but it is included here just in case, since we know media doesn’t always play in presentations, even when it should! (You can also check out some AR math apps here.)

Introduce apps your students will be using for measurement

Use this short presentation to explain how to use apps to measure, well, anything. If you already completed the first lesson on measuring perimeter and used this presentation, you may want to show it again to remind them and also to make the point that they were using augmented reality already and didn’t know it!

Measure Using Augmented Reality and Reality

Students find 10 items to measure using both the app and a ruler or tape measure. For each item, they complete the attached worksheet. Here is the same worksheet as a Google doc if are going to have them complete it online.

We strongly encourage the teacher to do one item with the class as an example. If your class has not yet mastered fractions, you may wish to tell them to just enter the whole number part of the measurement, as in this example.

Create two line plots

Optional: Watch this video on creating a line plot

If your students are not familiar with line plots, you may want to have them watch this seven-minute video which explains line plots step by step.

Now that students have watched the video and collected the data, their final task is to create two line plots of their results. Feel free to copy and paste the text below into your Google classroom or other assignment.

You are going to make TWO line plots.

• First, make a line plot of the ten measurements you did with the APP.
• Second, make a line plot of the ten measurements you did with the RULER or TAPE MEASURE.

• Compare the two line plots. Do they look the same?
• Compare your line plots with other students in the class.

Assessment

You can assess student’s progress through the assignment completed which shows both their measurement skills and ability to create and interpret line plots.

Individualizing Instruction

For students who are more advanced, you may wish to have them measure items and complete line plots using fractions or mixed numbers rather than just whole numbers.

Related lesson

The lesson Finding the perimeter and physical education is the first in the unit of augmented reality lessons.

PERIMETER OF RECTANGLES, SQUARES AND TRIANGLES

📖Standard

CCSS.MATH.CONTENT.3.MD.D.8 Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.

CCSS.MATH.CONTENT.4.MD.A.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems.

⏰LESSON TIME

30 minutes without gameplay, 45 minutes with gameplay

📃 SUMMARY

In this lesson plan, students will learn how to compute perimeter, apply those skills in game-based practice problems and solve perimeter problems using an interactive web-based activity with virtual manipulatives.

📚 Lesson Plan

1. Video: How to Find the Perimeter and Polygons

Watch this animated video that explains how to find the perimeter of different polygons, including rectangles, triangles and squares. (3:00)

2. INSTRUCTIONAL ACTIVITY WITH ASSESSMENT: Interactive perimeter problems activity

This digital activity walks students through calculating the perimeter of different shapes including a rectangle, a square and a circle in a narrative-driven context around the farm and integrates virtual manipulatives. Students are provided in-activity instruction as they are presented with and explained the formulas to use when they need to use them. Additionally, with in-activity scaffolding, students can “get a hint” on each problem.

You may elect to read and work through it during class time, giving students time to complete the problems or assign it as an individual assignment.

If your students have not used virtual manipulatives with Google slides previously, here is a 30-second introduction.

Estimated time to complete: 20-25 minutes

3. GAME: Making Camp Premium or Spirit Lake

Have students play Making Camp Premium games for 15-20 minutes (remainder of the lesson time) specifically including these icons.

Perimeter is also covered in the second half of Spirit Lake: The Game.

Assessment

In addition to the virtual manipulative activity above,  remember that you can always see your students’ performance on the problems in Making Camp Premium and Spirit Lake by accessing the reports page. You will need to enter the password you received during training.

State Standards

Minnesota Math Standard 3.3.2.2 – Find the perimeter of a polygon by adding the lengths of the sides.

Minnesota Math Standard 3.3.2.3 – Measure distances around objects.

Related Lesson

“PERIMETER OF RECTANGLES, SQUARES AND TRIANGLES (Bilingual English & Spanish)” – The Bilingual version of the lesson plan above with English and Spanish resources.

Multiplying to find perimeter of polygons

📖STANDARDS

CCSS.MATH.CONTENT.3.MD.D.8 Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.

CCSS.MATH.CONTENT.4.MD.A.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems.

45 minutes

📃 SUMMARY

In this lesson, students will learn how to compute perimeter of different polygons using multiplication and apply those skills in game-based practice problems. They will then learn about different Indigenous traditional dwellings. The lesson ends with students contributing to and solving problems that integrate the reading on dwellings and perimeter in an online assessment.

📲 TECHNOLOGY REQUIRED

Device with web-browser (Chromebook, laptop or desktop computer); or iOS (iPhone/iPad) with Google Drive apps.

📚 Lesson

1. Play GAME: Making Camp Premium

For 15 minutes, have students play the game Making Camp Premium.

ALTERNATIVE: Perimeter is also covered in the second half of Spirit Lake: The Game, which is currently available for Windows and Mac computers.

2.READ: Home, Sweet Home: Tipis, Hogans, Wigwams and More

Read this short post about traditional dwellings of Native American tribes from different parts of the United States. It can be read aloud as a group or individually. (Estimated time: 7-10 minutes)

3. Discuss how to Compute Perimeter

This Google slides presentation reviews the definition of a polygon and perimeter and provides the formulas for finding the perimeter of a rectangle, square and triangle with examples for each. You can review it together in class or online, copy to Google classroom to assign to students or print out to send home for students without Internet access. (Estimated time: 5-10 minutes)

4. Testing understanding : Perimeter in Action

This activity draws from the “Home, Sweet Home” reading and lessons on perimeter to have students apply their understanding of how to compute the perimeter of rectangles, triangles and hexagons using multiplication. Get the Google slides presentation here. Students contribute numbers to create multiple problem options.

(Estimated time: 10 minutes)

ASSESSMENT

You can view your students’ progress on mastering these standards by viewing your teacher reports. Both Making Camp Premium and Spirit Lake Report links can be found on this reports page. You should have received a password during the Growing Math training. If you need the password, email growingmath@7generationgames.com from your school email account and we’ll get the password to you right away.

State Standards

Minnesota Math Standard 3.3.2.2 – Find the perimeter of a polygon by adding the lengths of the sides.

Minnesota Math Standard 4.3.2.4 – Find the areas of geometric figures and real-world objects that can be divided into rectangular shapes. Use square units to label area measurements.