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Illustrative Mathematics

Bank Shot

For Teachers 9th - 11th Standards
Young geometers become pool sharks in this analysis of the angles and lengths of a trick shot. By using angles of incidence and reflection to develop similar triangles, learners plan the exact placement of balls to make the shot....
Activity
It's About Time

Refraction of Light

For Teachers 7th - 12th Standards
Don't shine like a diamond, refract light like a diamond. Young scientists use an acrylic block and a laser light to observe refraction. Advanced scholars figure the sine of the angles of reflection and incidence as well as mastering...
Activity
National Council of Teachers of Mathematics

Taking a Spin

For Teachers 9th - 12th Standards
It does not divide into 360 evenly, so it cannot work. The resource extends pupils' thinking about rotational symmetry. By asking for a figure with a rotational symmetry of a seemingly impossible angle, the activity requires learners to...
Activity
National Council of Teachers of Mathematics

Bank Shot

For Teachers 9th - 12th Standards
Bank on geometry to line up the shot. The resource asks the class to determine the location to bank a cue ball in a game of billiards. Using their knowledge, class members determine where to hit the bumper to make a shot and discuss...
Lesson Plan
Physics Classroom

A Critical Lab

For Teachers 9th - 12th
Physics lab groups finagle with laser lights to determine the critical angle of refraction for both water and Lucite. Because there are no detailed steps or an answer key for this enlightening exercise, an inexperienced physics...
Activity
Las Cumbres Observatory

Craters in the Classroom

For Teachers 6th - 10th
Laws of motion apply both in space and on Earth. Young experimenters model object impact on the Earth and moon. They use data to determine the effect mass and velocity have on the resulting craters and how that relates to the energy of...
Activity
It's About Time

Reflected Light

For Teachers 7th - 12th Standards
The lesson allows young scientists to use lasers and mirrors to study reflected light. A reading passage and homework question assess learning, while additional material introduces extension activities.