The acute triangle is identified by its angles, in the same manor as the
If the triangle has an angle that measures more than 0 degrees and less than 90 degree (ie an acute angle) then it is acute.
The seven steps detailed bellow take you from basic identification all the way through to taking a detailed look at the theorems involving the acute triangle.
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 ...
Identify - How do we know a triangle is acute?
As stated above, if there is an angle in the triangle that is greater than 0 degrees and less than 90 degrees, then the triangle is acute.
To master identifying triangles, your child should be comfortable identifying different types of angles. If they need it, you can offer them some extra practice with this skill by giving them my free printable geometry angles worksheets.
Once your child is comfortable with identifying the different angles, offer them a triangle worksheet or two, to see how they get on with identifying triangles.
Calculate Area & Perimeter of an Acute Triangle
The Area of this type of triangle is calculated the same way as EVERY triangle. It is always half the length of the base multiplied by the perpendicular height of the triangle.
The Perimeter of ANY shape is simply the sum total of all the lengths of the shape - and a triangle is no different.
How to Construct an Acute Triangle
To construct an acute triangle, simple first construct an angle that is less than 90 degrees and greater than 0 degrees. This will create two sides of your triangle. Then cnstruct a third line intersecting your first two, and you have an acute triangle. That's it!
Relationship to 3D Shapes
Geometric Coloring Sheets
The use of coloring sheets allows your child to start experimenting with triangles. A great first step is to encourage your child to color in triangles adjacent to each other 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 different shapes. You will find some nice free geometric coloring pages to download and get started with.
Fun Geometry Projects
Theorems & Proofs
I have created Free printable triangle worksheets for you to offer your child for more practice. Download, print and give them to your kids. They're available 24/7!
I am sure you will find all the information and worksheets you need here, however if there is anything you cannot find please don't hesitate to contact me or simply visit the MathMomentumCommunity and join the conversation!
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