Master the Parallelogram from recognition to construction.
The Parallelogram is usually introduced to your child in Kindergarten. When this shape is introduced it usually coincides with the introduction of the square and rectangle. The reason for this is due to the similarities of the shape.
The seven steps detailed bellow take you from basic identification all the way through to taking a detailed look at the theorems involving the parallelogram. 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 ...
How do we know what we look at is a Parallelogram?First and fore most it is a quadrilateral which is a 4 sided plane shape.
The table bellow is intended to be read from left to right. Chose any shape from the left hand column, and by moving right, you can see what other shape qualities it posesses.
Once your child is comfortable with how to recognize the shape, offer them some shape worksheets to see how they get on with identifying the shape when compared with others. You may also find our Quadrilateral Family Tree Printable a useful tool to offer your child.
Calculate Area and Perimeter
How to calculate the Area and Perimeter of a Parallelogram.
Please note your child WILL be expected to remember these formula.
The Area of this shape is calculated by multiplying its base by its height. 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.
The Perimeter of ANY shape is simply the sum total of all the lengths of the shape.
The perimeter of a trapezoid is the sum of its length.
However, since opposite sides are the same length, the formula is simplified to reflect this!
How to construct a ParallelogramTo complete this, you will need a ruler, pencil, compass, protractor, and a blank piece of paper!
Note: This construction is based upon having the knowledge of the height of the trapezoid along with the angles at its base.
The construction is exactly the same process as the construction of a trapazoid. I have included those diagrams here, for quick reference, however you can also get the full text version here.
Relationship to 3D ShapesThere are no 3d Figures an elementary student will have to study in relation to the parallelogram, but it would be good to have them compare a prism made with a recangle and a parallelogram. The latter will infact be an oblique rectangular prism. Bellow is a diagram of a trapezoidal prism, deconstructed into two triangular prisms. and a Cuboid
An prisim created using a parallelogram, can indeed be deconstructed in a similar fashion.
It would also be a very good idea to compare this shape to other quadrilaterals.
Geometric Coloring SheetsThe use of coloring sheets allows your child to start experimenting with different shapes. 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 shapes. You will find some nice free geometric coloring pages to download here.
Fun Geometry ProjectsCOMMING SOON!
Theorems & ProofsCOMMING SOON!