Math tip for middle and high school! TPT teacher-author rise.over.run (on IG) demos how she uses tracing paper for geometric transformations: "I LOVE transformations on the coordinate plane and tracing paper is a must! (Especially for rotations!) Patty paper (you know, the paper they put between hamburger patties)… is my go-to. I’m using some translucent sticky notes in this video, which are kinda nice because they stick. ✏️Tip: If you’re using patty paper/sticky notes/tracing paper, be sure stu

I LOVE transformations on the coordinate plane and tracing paper is a must! (Especially for rotations!) When students get to move a shape around, they can see how the coordinates change. Patty paper (you know, the paper they put between hamburger patties)… is my go-to. I’m using some translucent sticky notes in this video, which are kinda nice because they stick. ✏️Tip: If you’re using patty paper/sticky notes/tracing paper… Be sure students trace the x-axis and y-axis first. Maybe with a pen or

In 3D, rotation matrices are used to rotate objects around the x, y, or z axes. Each axis has its own specific rotation matrix. For example, rotating around the z-axis uses a matrix that leaves the z-coordinate unchanged but rotates the x and y coordinates, effectively spinning the object in the xy-plane. Similarly, rotating around the x-axis affects the y and z values, while rotating around the y-axis affects the x and z values. These 3x3 matrices are always orthogonal, meaning their rows and c