The Third Grade Triangles and Arcs worksheet are probably the most famous worksheet from the Quadrilaterals 3rd Grade curriculum. This worksheet was designed by Peter Joseph, the founder of the Quadrille System, a unique but highly effective preschool curriculum developed by both Joseph and his wife Annie Joseph. Peter Joly had studied for years in France with excellent preschool teachers, but he wanted something more useful and effective for his own children.
The basic idea behind the Quadrille System is that children use shapes to make a picture, with one or more children on each side of the triangle to act as parents. In order to teach quadrilaterals, the Joseph’s first worked with several preschool teachers in Denver, Colorado.
Since many kids are not able to use colors to make a picture on their own, they can also learn about colors play in objects and the shapes of things. For example, they can pick up an orange and pretend to wrap it around a finger.
The orange can be seen when a bright red toy car passes by. This student is really using the concept of red objects being seen as the color of a whole picture, like they are the right color to wrap a piece of orange, with the added benefit of the car passing by. To do this, the teacher must bring the students around and instruct them to focus on one object, such as a bright red toy car or a bright yellow truck, while watching their other children for a few minutes.
After a short period of time, the class would be able to form a picture in their minds, just like they had before they were in the car with the bright red object. But now, they could actually see the red object. After that, they could make their own version of the car through their imagination, adding the colors that they saw around the red object, and thus they could make a bright picture that was made with two red objects and two yellow objects, and another bright orange object, and so on.
The concept of building a picture with objects is very important in the Quadrilaterals method, but it is only one of the lessons that they teach in the Quadrille System. There are four other lessons that the students need to learn.
These four lessons are what can be found on the worksheets that come with the Quadrille System. When a student has learned these four lessons, they will be able to show an entire picture in their minds, making an orange car, with all the parts shown in different colors.
Lastly, the Quadrille System teaches the students to be able to understand pictures and what they mean. This is important because the children will need to apply the concepts to reality in the next part of the Quadrille System. In the course of doing this, it is important for the students to learn a little bit about pictorial language.