Teach the Pythagorean Theorem K-12!
That's right, this famous and age-old mathematical relationship, as well as many other important math concepts, can be taught to children and adults with this simple and fun activity.
Using the worksheet provided, students are first asked to find the dog formed in the ‘negative’ space formed by the 5 squares. (The positive shapes are the squares and the negative shape forms a dog – do you see it?). Once students have mastered the concept of positive and negative spaces they can cut out, (and color), the squares manipulating them into different patterns to discover what shapes they can create in the negative space between them.
They will learn how to identify different geometric shapes as well as the derivation of mathematical terms like 3 ‘squared’ which means literally, 3 ‘in the shape of a square’ and discover how these shapes lead to a mathematical equation like Pythagoras’s Equation. All without realizing any math is involved! (See more descriptions in the preview and thumbnails).
This activity includes a pdf version of the ‘Pythagorean Dog’, which can be printed on regular paper, or thicker cardstock. Students can color in the squares and the dog, (depending on grade-level). The squares are then cut out and arranged to create different shapes both negative and positive. When just three squares are used, a triangle will most often appear in the negative space. When the (3x3), (4x4) and (5x5) squares are used a special triangle called a right triangle appears! This is a visual representation of the Pythagorean Theorem that your students will never forget!
The activity also includes a digital version of the ‘Pythagorean Dog’ for use on a computer, tablet, or for teacher presentations. Directions are included as well.