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- Contributed By: Isaac Newton
An interesting property about area and an arbitrary point on a triangles interior is explored in this activity
An interesting problem that has students find the area of a particular section of a circle that resembles the pupil of a snake eye. The result is rather surprising, because the area does not involve pi.
Students use the relationship between central angles and inscribed angles in a circle to solve a problem involving the installation of security cameras in an art gallery.
A clever puzzle which has students investigate the least number of smaller acute angled triangles you can dissect a triangle into.
This activity has students investigate which fits better, a square peg in a round hole or a round peg in a square hole.
Students use the Pythagorean theorem to solve a tricky puzzle involving a square with four isosceles triangles cut from the corners.
A math problem involving the area of an irregular quadrilateral and the Pythagorean Theorem
Students look at two triangles and must prove whether one line is longer than another. The results are surprising, and there are many different ways to prove the answer to be true.
This problem has students investigate the area of a pasture in which a goat would be able to graze.
A great problem that combines practice in graphing linear functions with a challenging problem involving the area of a square.
A problem involving the area of a crescent. Many students are surprised to discover that their answers do not involve pi.
A nice problem that encourages students to think backwards. Instead of inscribing a triangle in a circle, the triangle is given, and the student must discover the diameter of the circle.
Students investigate Picks Theorem, involving the area of an irregular polygon on a lattice point grid. This problem has students look for patterns, try to establish a formula, and test the formula with a more difficult case. The area of a lattice point Pterodactyl.
A fun geometry problem that takes a little creativity to visualize. Students investigate the length of a crease that is formed when you fold a piece of paper corner to corner.
Intro lesson and worksheet to coordinate geometry
Students will use both inductive and deductive reasoning to prove the vertical angles conjecture
Students use the pythagorean theorem in order to derive the distance formula. Includes pythagorean theorem practice problems
Students cut a parallellogram and then tape it to form a trapezoid. They then answer a series of questions which enable them to discover the area of a trapezoid.
Template for Analysis of Mathematics Programs/Series Mathematics Core Curriculum Mathematics Toolkit Curriculum Guidance Materials & Resources Template for Analysis of Mathematics Programs/Series
This resource is a list sorted by subject and individual lessons that include web pages for students to obtain extra practice.
