Polygon Practice Mega .pdf Document of Great Practice Pages for 5th Graders

I recently published 5th grade math unit 3: Area, Perimeter, Volume, Prisms, Pyramids, Polygons, and Circles. It's a huge unit that involves a lot of vocabulary and targeted skill practice. You can see that unit listed in my Math 9 Week Plans, in its own Unit Page, and in the more popular post titled 5th Grade Math Unit: Area, Perimeter, Volume of Prisms and Pyramids, Polygons and Circles.

I scoured the internet over the last couple of evenings, downloading pdf documents of practice pages that could meet my students needs. Currently, we're working on getting the vocabulary up for unit 3, and it's a huge task that involves over 30 definitions that are necessary for understanding and success in these skills.

I took the best of what I found in freely available online pdf documents and created a mega document that is 49 pages long and 1.4 megabytes in size. It's the practice pages that I'm intending on using during these upcoming weeks, and I believe that it could be of service to any teacher teaching these skills.

To download the document, which is available through my Google Drive, click:

POLYGONS MEGA DOCUMENT DOWNLOAD (pdf)

5th Grade Math Unit: Area, Perimeter, Volume of Prisms and Pyramids, Polygons and Circles

5th grade math unit 3 (which you can see listed in my subject specific page for MATH) is a huge unit. It covers area and perimeter, the volume of rectangular prisms and pyramids, polygons up to ten sides, and circles. The main bits of this unit get down to the vocabulary, practical application of the necessary formulas, and conceptual understanding of each concept.

The unit is available at its own page HERE, and is also posted here in its entirety. So without further delay:

5th Grade Mathematics Unit 3 is all about 3-Dimensional Geometry, including Area, Perimeter, Volume, Attributes of Polygons up to 10 sides, Circles, and Parallel / Perpendicular Lines. It's a big unit, but we always manage to pull it off with pretty good results. So let's get right to it!

Unit 3 is split into three portions:

UNIT 3.1: AREA & PERIMETER

The first portion of this unit is very simple, it's all about area and perimeter. We spend the majority of the time doing area and perimeter of quadrilaterals (especially area), but it's also a good opportunity to refine measuring skills by going outside, in the hallway, or measuring the classroom.

The assessment that I use for this cycle of instruction is very simple, and can be found HERE.

The PDSA (again, it stands for Plan/Do/Study/Act, and is the current form of lesson planning that my school does) can be found HERE.

Now that the nuts and bolts are out of the way, I'm going to list some great online resources that could help any teacher out in the classroom when teaching area and perimeter:

First off, I have already done a fairly lengthy post on Area & Perimeter, titled Area & Perimeter Teacher Resources: Worksheets, Games, and Activities.

• Interactive Shape Explorer: A Java based activity that can range from very easy to quite difficult. 
• Area & Perimeter Formulas: I'm printing this out and will use it with my more advanced students to study formulas and their relation to geometry.
• PBS Kids Cyberchase Airline Builder: An interactive game involving area and perimeter. 

And to repeat some of what I've already posted:

BEGIN THE UNIT WITH AN EXPLANATION:

• Perimeter and Area Visual Explanation: An Adobe Shockwave presentation that introduces the unit. Smartboard friendly.

ACTIVITIES:

• Interactive Shape Explorer: A nice interactive where students find the perimeter and area of various, randomly generated regular and non-regular polygons on a grid. Optionally, the teacher can ask students to copy the shapes on graph paper and solve there.
• The most simple classroom activity is to have students measure the dimensions of the classroom, a chalkboard, the hallways, their desk, etc. Then use those dimensions to find perimeter and area (and later on, volume). 
• Everything You Wanted to Know About Perimeter and Area: Go to pretty much any resource listing on perimeter and area activities, and you'll probably find a link to this one. There's a reason for it, it's simple and effective. It's Smartboard/projector friendly for whole class, and teaches as it goes.

GAMES:

• Cyberchase Airline Builder: An online game where students must use the given amount of sticks to create different polygons. 
• Zoo Designer: I wasn't impressed with this game at first glance, but played it for a few minutes and actually see some value in using this in class. This one is also web based.
• Real Estate and Perimeter Game: I found that at the blog Homeschool Parent. It's a good idea for a very effective in class perimeter or area game. I'll be using this, my students always enjoy the partner games.

WORKSHEETS:

• A to Z Teacher Stuff Area & Perimeter Worksheets and Printables: Decent, but not very difficult, worksheets to use in class. A good starting point.
• The Grid Game: This is a 4 page printable, I will be using the last page (the grid game), and possibly the page before it (perimeter patterns).
• Worksheet Works.com Worksheet Designer: A nice, easy to use tool that gives you worksheets in pdf format based on your needs.
• Large Worksheet Packet: What I like about this packet is it has a table at the beginning that names many types of triangles and quadrilaterals. If anything, I'll be using that first page.
• Free Math Worksheets: A decent page with some good worksheets in a lot of different skills. 
• Measuring Perimeter & Area: An adapted worksheet packet that has some good skill building activities within a pdf document.
• Math-Aids Perimeter and Area Worksheets: A good site with various worksheets, fully customizable before printing.
• Illuminations site: There is a worksheet about finding perimeter and area, and an online geoboard.
• A full supplement pdf from Bridges for Mathematics. There's good information here if you have no curriculum to start with.

UNIT 3.2: VOLUME OF RECTANGULAR PRISMS & PYRAMIDS

I've always enjoyed teaching volume, because it just makes perfect sense right after teaching area, and it's fun and the students usually enjoy the process.

Let's get started with the assessment, which can be accessed HERE (you'll need to download it to see the attached images, they don't seem to show up in the Google Doc preview), and the PDSA, which can be accessed HERE.

First, I'm going to list some basic volume of rectangular prism (and just general volume) links:

• A great interactive lesson for volume: Has instant feedback, and it's very clean looking.
• Math Illuminations Interactive Cube Builder: I love this interactive because it lays the cubes out flat (something that I've seen referred to as a "net"), which is also how we practice this in class, by building boxes and filling them with cubes. 
• A simple pdf poster from Scholastic on volume
• Interactive Formula Teacher: It's good stuff

Now, my favorite volume activities include making cubic units. I usually have my class use rulers to make a cubic foot, yard sticks to make a cubic yard, etc. I'm not even going to show a picture here, because all you do is use the given unit to make a cube. It's pretty cool and effective.

It's also important that students know how to use the units. I count off if students don't label units, and don't use them appropriately. I teach my students very simply that for a unit to be squared, it has to involve 2 dimensions, cubed involves 3. Here's a simple visual:

I also think it's important to expand and reinforce these concepts when applicable. My students always enjoy the EXPONENTIAL GROWTH activity, where we build some cubes, starting with a 2x2x2, going to a 4x4x4, then an 8x8x8, it looks like this:

Now on to the more difficult volume of pyramids:

It's actually very simple to find the volume of a rectangular pyramid. First, take the three measurements (length, width, height), and multiply. Now here's the catch: divide your answer by 3. That's it. The majority of the work here is getting students to understanding this 3:1 relationship, and practice it.

• A pdf document of a pyramid you can have students cut out and use to show the 3:1 relationship.
• Simple Explanation of the v=(l x w x h) / 3 formula (aaamath.com).
• Worksheet Works customizable worksheets on volume, area & perimeter.
• Various worksheets on volume at mathworksheets4kids.com

In my opinion, these first two sections of the unit go hand in hand, and are fairly simple for 5th graders to get once they grasp the concept. And the concept is important, let them experiment with 3D shapes (make them out of paper and fill them up with sand or rice). These are more or less developmentally appropriate skills for the vast majority of kids at this age level. 

Now, we move on to the final portion of this section on volume of pyramids, where we discuss the attributes of three-dimensional shapes, including vertices, faces, and edges. 

We're basically talking about vocabulary for this final section, so that's how I approach it. Let's move right into it:

• Geometry attribute vocabulary cards at Quizlet: A great starting place to get ideas or have kids practice for reinforcement.
• A great online resource that is clickable and shows the vocabulary: Good for Smartboards.
• A GREAT resource at Teaching Ideas: Posters for the shapes and attributes, and great downloadable resources. 
• Primary Resources has this page of TONS of great resources, including this properties page I'll be using.

So now we come to the finale of this lengthy unit, a set of lessons on polygons (up to 10 sides), and circles. The circles part especially tends to rock the kids around for a bit. 

UNIT 3.3: POLYGONS UP TO TEN SIDES & CIRCLES

Here we go, let's get started with the assessment HERE and the PDSA HERE.

First we'll deal with the polygons, because again, it comes down to vocabulary and practice (i.e. memorization and matching):

• A page with enough information about polygons to get any teacher started. Go here and grab the definitions you need to move forward. 
• Polygon Names: It is what it says it is.
• Polygons: Regular vs. Irregular.
• Some decent naming polygons worksheets (with some other stuff that would be review at this point).
• Another worksheet, this one about regular vs. irregular polygons.

OK, now we finally come full... circle (haha... nevermind). Anyways, students will learn radius, diameter, circumference (and all applicable formulas), as well as the value of pi to two places. 

The pi part again comes down to repetition and memorization. So, I came up with the now irreverent "PI MONKEY," a mainstay in my classroom. He hangs up near the front door, beckoning to the students each time they walk out the door:

Now that pi monkey has done his job, it's time to teach some circles!:

• Definitions at Coolmath.com: You need these, they get it all started. Students can review right here on the page.
• A great PowerPoint from Mr. Lovett on Wikispaces about circles.
• Some Visual Aides at Mathworksheetsgo.com.

Remember that circumference is simply pi multiplied by the diameter (or pi multiplied by the radius x 2): It looks like: C= pi x d  OR C= pi x (r x 2). It's fairly straight forward. 

OK, we've reached the end, FINALLY. Now that we're here, it's time for the big unit test. You can grab that HERE.

Area and Perimeter Teacher Resources: Worksheets, Games, and Activities

In 5th grade, we teach a unit on geometry, that mainly discusses 3-dimensional geometry. We do spend a lesson on perimeter & area. I find that this lesson normally is easy to grasp, and the vast majority of students move through it quite easily. I have a page of resources (games, activities, and worksheets) that could be of service to the classroom or homeschool teacher. These resources would be great in mainly a 4th-6th grade classroom, or maybe to challenge the very bright 3rd grader. Again, with this concept being fairly straight forward, it can be picked up pretty quickly. The unit is listed under my Math 9 Week Plans, and is titled Area & Perimeter Classroom Resources. I'm getting in the habit of re-posting these lesson and unit pages here within blog postings, I've gotten positive feedback from this, it's more user friendly than having people click all over the place. Here is the exact posting that you would find if you clicked the above link:



My school district adopted Math Investigations for use at the beginning of the 2007-2008 school year, and are still in that adoption. My school saw that our math scores were stagnant, and decided last year to try our hand at only utilizing the Investigations materials as a resource. We planned each unit out together, came up with our own materials (and compiled the resources we had and could find), and taught like that. The unit order that we came up with is the same one you'll see on the Math 9 Week Plans page. The reason I mention this is that we no longer have a curriculum to use. So as I go through these math units and lessons, I am going to list activities, games, ideas, and worksheets, because this will be my own resource as well. So that's where I'm coming from. Now let's get started:

BEGIN THE UNIT WITH AN EXPLANATION:

• Perimeter and Area Visual Explanation: An Adobe Shockwave presentation that introduces the unit. Smartboard friendly.

ACTIVITIES:

• Interactive Shape Explorer: A nice interactive where students find the perimeter and area of various, randomly generated regular and non-regular polygons on a grid. Optionally, the teacher can ask students to copy the shapes on graph paper and solve there.
• The most simple classroom activity is to have students measure the dimensions of the classroom, a chalkboard, the hallways, their desk, etc. Then use those dimensions to find perimeter and area (and later on, volume). 
• Everything You Wanted to Know About Perimeter and Area: Go to pretty much any resource listing on perimeter and area activities, and you'll probably find a link to this one. There's a reason for it, it's simple and effective. It's Smartboard/projector friendly for whole class, and teaches as it goes.

GAMES:

• Cyberchase Airline Builder: An online game where students must use the given amount of sticks to create different polygons. 
• Zoo Designer: I wasn't impressed with this game at first glance, but played it for a few minutes and actually see some value in using this in class. This one is also web based.
• Real Estate and Perimeter Game: I found that at the blog Homeschool Parent. It's a good idea for a very effective in class perimeter or area game. I'll be using this, my students always enjoy the partner games.

WORKSHEETS:

• A to Z Teacher Stuff Area & Perimeter Worksheets and Printables: Decent, but not very difficult, worksheets to use in class. A good starting point.
• The Grid Game: This is a 4 page printable, I will be using the last page (the grid game), and possibly the page before it (perimeter patterns).
• Worksheet Works.com Worksheet Designer: A nice, easy to use tool that gives you worksheets in pdf format based on your needs.
• Large Worksheet Packet: What I like about this packet is it has a table at the beginning that names many types of triangles and quadrilaterals. If anything, I'll be using that first page.
• Free Math Worksheets: A decent page with some good worksheets in a lot of different skills. 
• Measuring Perimeter & Area: An adapted worksheet packet that has some good skill building activities within a pdf document.
• Math-Aids Perimeter and Area Worksheets: A good site with various worksheets, fully customizable before printing.
• Illuminations site: There is a worksheet about finding perimeter and area, and an online geoboard.
• A full supplement pdf from Bridges for Mathematics. There's good information here if you have no curriculum to start with.

Perimeter and Area are usually one of the more simple concepts that come up in 5th grade. This listing of resources should help anyone get started. I'll be utilizing these and sharing them with my grade level team during this unit. As always, it's just a start. There are literally thousands of sites and worksheets out there. If you have anything else that you swear by, please share it here so I can get it up on the page.