Geometry

Trapezoid Area Formula and other Area Formula Made Easy with Free Online Tutoring in Math

Trapezoid Area Formula and other Area Formulas

Your child will practice solving for area of a rectangle, area of a triangle, the trapezoid area formula, and the area of a variety of irregular polygons.  Best of all – each and every problem has its own video tutorial.  If your child is new to these area formulas, you might want to start with Geometry Help with Easy to Understand Video Tutorials, which is a video notebook that teaches basic facts for polygons, area of a rectangle, area of a triangle, area of a trapezoid, and area of irregular polygons.  It is a the perfect review before having your child complete this article.

This is the first article  in a series of four that follow a cyclical learning approach.  Each article is a complete lesson on geometry that takes children step-by-step through the process of learning area, surface area, volume, and how to graph on a coordinate grid.  While working through these articles, your child will gain a deeper and more concrete understanding of geometry. 

Articles within this series on geometry:

  1. Trapezoid Area Formula and Other Area formulas Made Easy
  2. Surface Area
  3. Coordinate Graphing with Mystery Pictures
  4. Volume Formulas made Easy
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Area Formula Made Easy
Online Tutoring in Math: Challenge
1
Watch Me
Family of Moose

You are trying to protect a family of moose.  Their home is in the polygon shown below.  In order to protect this animal reserve, you must solve for the area of their home.

  • See the measurements below.

How many square miles is this animal reserve?

Watch this Free Tutoring for Math Video!

Press PLAY and Watch this Free Tutoring for Math Video below.  Then copy these strategies into your notes!

 

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It is about a young lady in the time of the Pharos.  She is quite the heroine. This book dovetails perfectly with the sixth grade standard of studying Ancient Egypt.

Could your child benefit from a little One-On-One tutoring?

The problem below is called a “Work with Me” challenge.  This challenge encourages your child to work step-by-step along side me to solve this challenge.  All of the following challenges are called “On Your Own” challenges.  However, many of my students who struggle with fractions will do five or six of the “On Your Own” challenges as a “Work with Me” challenge.  They play the video, pause it, and copy the strategies until they feel comfortable and confident.  Doing the problems as a “Work with Me” challenge is like having a personal tutor.

Area Formula Made Easy
Online Tutoring in Math: Challenge 2
Work With Me
Bighorn Sheep

You are trying to protect a family of bighorn sheep.  Their home is in the polygon shown below.  In order to protect this animal reserve, you must solve for the area of their home.

  • See the measurements below.

How many square miles is this animal reserve?

Watch this Free Tutoring for Math Video!

Gather your materials and press PLAY.  We’ll solve this problem together, while you watch the math tutorial video below.
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I have scaffold the problems in each lesson. 

The first problem in this article is a “Watch Me” problem.  The second is a “Work with Me” problem.  All the rest are “On Your Own” problems. 

*If your child needs a bit more support, they should complete the “On Your Own” problems as a “Work with Me” problem.  I have a number of students with gaps in their learning and others with a variety of  learning disabilities.  I have had incredible success, by having those students complete 5 to 7 problems within each lesson as a “Work with Me” problem.  They play a bit of the video, then pause it  and copy, then watch a bit more, pause it and copy.  My students Play – Pause – and Copy until the entire problem is solved.  This is like having a personal tutor working through each and every problem with your child.  Every one of my students who has used this strategy has passed the Common Core Proficiency Exam.

Area Formula Made Easy
Online Tutoring in Math: Challenge 3
On Your Own
Canadian Geese

You are trying to protect a family of Canadian Geese.  Their home is in the polygon shown below.  In order to protect this animal reserve, you must solve for the area of their home.

  • See the measurements below.

How many square kilometers is this animal reserve?

Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
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Do your children get frustrated when they make a mistake?

We all make mistakes.  As a matter of fact, making mistakes is an essential part of the learning process.  This is why at the end of each of the following “On Your Own” challenges I encourage children to fix their mistakes.  Finding and fixing your own mistake is the fastest way to learn.

Area Formula Made Easy
Online Tutoring in Math: Challenge 4
On Your Own
Family of Ants

You are trying to protect a family of ants.  Their home is in the triangular area by this tree.  In order to protect this animal reserve, you must solve for the area of their home.

  • The base is 15 yards
  • The height is 7 yards

How many square yards is this animal reserve?

Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
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Area Formula Made Easy
Online Tutoring in Math: Challenge 5
On Your Own
Mallard Ducks

You are trying to protect a family of mallard ducks.  Their home is in the polygon shown below.  In order to protect this animal reserve, you must solve for the area of their home.

  • See the measurements below.

How many square kilometers is this animal reserve?

Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
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Area Formula Made Easy
Online Tutoring in Math: Challenge 6
On Your Own
Family of Beavers

You are trying to protect a family of beavers.  Their home is in the polygon shown below.  In order to protect this animal reserve, you must solve for the area of their home.

  • See the measurements below.

How many square miles is this animal reserve?

Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

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Area Formula Made Easy
Online Tutoring in Math: Challenge 7
On Your Own
Bald Eagles

You are trying to protect a family of bald eagles.  Their home is in the polygon shown below.  In order to protect this animal reserve, you must solve for the area of their home.

  • See the measurements below.

How many square kilometers is this animal reserve?

Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
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Area Formula Made Easy
Online Tutoring in Math: Challenge 8
On Your Own
Mountain Lions

You are trying to protect a family of mountain lions.  Their home is in the polygon shown below.  In order to protect this animal reserve, you must solve for the area of their home.

  • See the measurements below.

How many square kilometers is this animal reserve?

Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
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Area Formula Made Easy
Online Tutoring in Math: Challenge 9
On Your Own
Pronghorn Sheep

You are trying to protect a family of pronghorn sheep.  Their home is in the polygon shown below.  In order to protect this animal reserve, you must solve for the area of their home.

  • See the measurements below.

How many square kilometers is this animal reserve?

complete her race?Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
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Area Formula Made Easy
Online Tutoring in Math: Challenge 10
On Your Own
Hibernating Grizzly Bears

You are trying to protect a family of hibernating grizzly bears.  Their home is in the polygon shown below.  In order to protect this animal reserve, you must solve for the area of their home.

  • See the measurements below.

How many square kilometers is this animal reserve?

Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
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Area Formula Made Easy
Online Tutoring in Math: Challenge 11
On Your Own
Family of Wolves

You are trying to protect a family of wolves.  Their home is in the polygon shown below.  In order to protect this animal reserve, you must solve for the area of their home.

  • See the measurements below.

How many square miles is this animal reserve?

 

Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
Need Help with Fractions

I have a series on fractions that teaches children a deeper understanding of how fractions work.  The series is designed in a similar manner to this series on geometry, where each and every problem is linked to a video tutorial.  Here is a link to my series on Fractions.

Need Help with Multiplication?

I have a series on Multiplication that is specifically designed for children who do not have all of their multiplication facts memorized.   The series is designed in a similar manner to this series on division, where each and every problem is linked to a video tutorial.  Here is a link to my series on Multiplication.

Need Help with Division?

I have a series on division that is specifically designed for children who do not have all of their multiplication facts memorized.   The series is designed in a similar manner to this series on multiplication, where each and every problem is linked to a video tutorial.  Here is a link to my series on Division.

Thank you for reading this article!

Want More Tutorials?

TeachersDungeon is an Educational Fantasy Game.  It is 100% FREE!  The game is set to the Common Core Educational Standards, and is web-based, so it can be played on any device.  Many of the questions are accompanied by tutorials like the ones you saw here.

One Last Thing

If you like this post and found it helpful, please leave a brief comment.   As a teacher, perhaps the greatest reward I receive is from parents, children, and fellow teachers who use my strategies of education and succeed.

My mission in life and as an educator is to make people feel empowered, self-assured, and happy about who they are in this world!  We all have gifts to bestow upon our world.  Go forth and do so, and know that you are awesome!

Have a fantastic day – Brian McCoy

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