Welcome to Clip from Spiral logo

Interactive video lesson plan for: Area of shapes on a cartesian coordinate plane

Activity overview:

Geometry Teachers Never Spend Time Trying to Find Materials for Your Lessons Again!

Join Our Geometry Teacher Community Today!

How to find the area of a shape on a Cartesian coordinate plane.
I welcome to MooMooMath Today we are going to find area of figures on a Cartesian coordinate plane. We will start with some simple figures. If you have a triangle that is graphed and you might have ordered pairs. That is fine if you are given a point like 00 and 5,0 and 2,2. To find the area of the triangle you can use the area formula. 1/2 base times height. On a cartesian coordinate plane you can count the length of the space. It is 5 units long. My height is 2 so I will take I/2 times 5 x 2 =10 and 1/2 of that is 5 squared units.
Lets look at a composite figure. I have a rectangle and a triangle. We can divide it into the two shapes. Take the rectangle first is 2 units long and 2 units high. The area is 4 square units. On top I have a base that measures 2 and my height is one so my area is 1 square unit using the triangle area formula 1/2 base x height
We then add the two areas together because it is a composite figure. We will take 4 + 1 = 5 square units for the area.
Now lets look at some that don't have a height and a base that is vertical or horizontal . What if they are on the Cartesian coordinate plane at a strange angle?
It is a little trickier to find to find the altitude and the height using the distance formula and all kinds of crazy things. There is an easier way to which is the subtraction method. What we will do is label the ordered pairs. We have 0,0, nd we have 9,2 and the ordered pair 3.5 and finally 5,0.
Lets say you have this plotted. You can find the area of the outer rectangle, and then subtract 1 2 3 right triangles and that will give you the area of the shaded region. What is left over. Lets see. The area of the outer shape is 5 by 5 which is 25 square units. You can even count it. You can count up to 25 and see that you have 25 square units. Now we will subtract off these three triangles. This triangle is 3 by 3 Remember the formula for area of a triangle is 1/2 base times height so it is half of 3 x3 which equals 9 and 1/2 of that is 4.5. Now we have another triangle. It is 5 high and 2 units wide 1/2 times 5 x 2 = 10 and which is 4.5
Now the bottom triangle i 5 times 2 and 1/2 base times height gives us 5 square units. Finally we take 25- 10 - 4.5 equals 10.5 square units for the shaded area.

area of shapes | Cartesian coordinate Plane

Please watch: "Study Skills Teacher's Secret Guide to your Best Grades"

Tagged under: area,area shapes,cartesian coordinate plane,shape coordinate plane,geometry,moomoomath

Clip makes it super easy to turn any public video into a formative assessment activity in your classroom.

Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip

Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans

Play this activity

1. Students enter a simple code

2. You play the video

3. The students comment

4. You review and reflect

* Whiteboard required for teacher-paced activities

Share on:

Share Area of shapes on a cartesian coordinate plane on Google+ Share Area of shapes on a cartesian coordinate plane on Twitter Share Area of shapes on a cartesian coordinate plane on Facebook Pin Area of shapes on a cartesian coordinate plane Email Area of shapes on a cartesian coordinate plane

Ready to see what else Spiral logo can do?

With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach.


Carry out a quickfire formative assessment to see what the whole class is thinking


Create interactive presentations to spark creativity in class

Team Up

Student teams can create and share collaborative presentations from linked devices


Turn any public video into a live chat with questions and quizzes

1000s of teachers use Spiral to deliver awesome, engaging activities that capture students' understanding during lessons.

Now it's your turn Sign up

Spiral Reviews by Teachers and Digital Learning Coaches

Review of Spiral by teacher: Kathryn Laster @kklaster

Tried out the canvas response option on @SpiralEducation & it's so awesome! Add text or drawings AND annotate an image! #R10tech

Review of Spiral by teacher: Room 220 Math Stars @3rdgradeBCE

Using @SpiralEducation in class for math review. Student approved! Thumbs up! Thanks.

Review of Spiral by teacher: Miss Ord @ordmiss

Absolutely amazing collaboration from year 10 today. 100% engagement and constant smiles from all #lovetsla #spiral

Review of Spiral by teacher: Adam J. Stryker @strykerstennis

Students show better Interpersonal Writing skills than Speaking via @SpiralEducation Great #data #langchat folks!

Review of Spiral by teacher: Dr Ayla Göl @iladylayla

A good tool for supporting active #learning.

Review of Spiral by teacher: Brett Erenberg @BrettErenberg

The Team Up app is unlike anything I have ever seen. You left NOTHING out! So impressed!

Get the Clip Chrome Extension & Create Video Lessons in Seconds

Add Clip to Chrome