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square shape

Master the Square Shape from recognition to construction.

The Square Shape is one of the first shapes a preschooler learns to identify. But there is so much more to this humble looking Regular Polygon than first meets the eye. And all the way through kindergarten to Sixth grade, more and more will be learned about it.

The seven steps detailed bellow take you from basic identification all the way through to taking a detailed look at the theorems involving the square shape. These steps also include 'pit stops' to complete fun geometry projects and coloring sheets.

These are nice 'breathers' on the learning curve, but they are excellent ways of reinforcing the new knowledge in ways that your kid can get a real life, hands on approach to understanding the basic geometry concepts included.

Okay, so let's get started ...
3r grade math worksheets


How do we know what we look at is a Square Shape?

A Square Shape is identified by a combination of the number of sides it has, its side lengths AND its angles. A square has four sides, but so does any other quadrilateral, so we must go a bit further. A square has four sides equal in length ... but so does a Rhombus; so again we must go further. A square is a Regular Polygon. This means that, not only are all its sides equal in length, but ALL its angles are also equal in lenght.
Once your child is comfortable with how to recognize the square, offer them a square shape worksheet or two, to see how they get on with identifying the square.
Kindergarten math

Calculate Area and Perimeter

How to calculate the Area and Perimeter of a Square Shape?

The Area of the square is calculated by multiplying its length by its height. Since, in a square, the lenght and Height are the same lenght The Area is the length on one side, squared. If your child has problems understanding the concept of Area, I recomend working with second grade 'grid method' worksheets first, and then move on to fourth grade worksheets using numbers and finally word problems.
Ther Perimeter of ANY shape is simply the sum total of all the lengths of the shape - and a square is no different.
The perimeter of a square is 4 times its length. Why? Because a + a + a + a is the same as 4 multiplied by a.

Kindergarten math

How to construct a Square Shape

To complete this, you will need a ruler, pencil, protractor, and a blank piece of paper!

Approach 1: Using a protractor

Step 1: Draw a straight line lightly using your ruler and pencil on your paper. - This is what we call a construction line.
Step 2: Indicate on this line, one point - this point will be the first of the four vertices of your square.
Note:We know that the four angles of any quadrilateral add to 360 degrees. In a square, we know the four angles are equal; so each angle is 1/4 of 360 degrees which is 90 degrees.
Step 3: Using your protractor, find the point at 90 degrees to your first line using the point you indicated as the base, mark it, and draw another construction line.
You now have two lines of your square.
Step 4:Using your ruler, measure the length of your square side on BOTH of these lines, with a point. Step 5:Using these new points, repeat Step 3: two more times (once on each point) to find the remaining two sides of your square
Step 5: Your Square is the shape contained between the four points of intersection of these four lines.

Step 6:Using a heavier line connect the four points to finish your square.

A quick check to ensure your square is accurate, is to measure all side lengths with your ruler. If you have done it correctly all sides will measure the same!
Kindergarten math

Relationship to 3D Shapes

The 3d Figures a Kindergarten through sixth grade student is most likely to deal with is are the Square Pyramid, Cube and Cuboid.
Kindergarten math

Geometric Coloring Sheets

The use of coloring sheets allows your child to start experimenting with squares. A great first step is to encourage your child to color in shapes adjacent to eachoter with the same color, until their shape starts to look like 'something'. Perhaps that something will be a rectangle or a house. By doing this, your child will start to realize the connection between the square and other shapes. You will find some nice free geometric coloring pages to download here.
Kindergarten math

Fun Geometry Projects


Kindergarten math

Theorems & Proofs


Return from this Square Shape page to our Polygon Section.or our Quadrilaterals Section.
Return from this page to K6 Geometric Shapes Home Page, to explore all the other great sections I have to offer.

If you have any suggestions on how to make this site better for you and other readers, please don't hesitate to contact me. I love to hear from my readers, and with a little feedback, I can make this a great resource for parents, teachers and tutors alike.

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