Let the class' knowledge of geometry flow like water in an aqueduct. Future mathematicians research ancient Roman aqueducts and consider the geometric concepts necessary in their construction. They then use GeoGebra to create models of...

Take a swing at the task. Using their knowledge of polygons and solids, scholars design one hole of a miniature golf course. They calculate areas and perimeters, determine the cost of building the holes, make scale drawings, and create...

Let the class' knowledge of geometry soar like the kites they create. After researching the history and science of kites, learners draw up a blueprint for their own kites. They then calculate the areas and perimeters based on the scale...

Go for a walk in the mall. Pupils find distances between stores on a diagram of a mall on Quadrant I. The scholars also determine the midpoint between a store and an entrance to the mall to then create their own paths and determine their...

When is the distance formula not accurate? Referencing a map of the school, pairs determine the walking distance between two locations. Creating coordinates for each location, pupils determine the distance between the two points and...

What's the point of looking at triangles when trying to draw parallelograms? Given three non-collinear points, pupils determine and justify all possible points that would create a parallelogram. They then analyze the four triangles that...

Investigate the growth rates of alien animals. Pupils study fictional animals from another planet to determine how much they grow per year. The investigators plot the growth of their animals over a period of time and then compare...

How does your garden grow? Use proportions to help Tim answer that question. By using their understanding of proportional relationships, pupils determine the number of seeds that will sprout. They create their own linear...

Model the effects of practice on texting speed. Pupils develop a linear equation that models the change in texting speed based on the amount of practice. The sixth performance task in an eight-part series requires learners to solve...

Which deal is best? Learners determine which of two companies has the best deal for a particular number of shirts. They begin by creating a table and equations containing each company's pricing structure....

A geometry problem for students to use their mathematical reasoning skills to explain a right triangle property.

A "three star geometry problem" requiring knowledge of how to complete geometric proofs and some prior math skills to figure the shortest distance between the opposite corners of a cuboid.

A "three star" geometry problem which requires prior math problem solving skills and proof writing skills to solve this "Bag of Balls" radius of balls problem.

This is a "three star" geometry problem where prior math problem skills and proof experience is recommended to solve this relationship between the inverses of heights.

This is a "three star" geometry problem where prior knowledge of probability is required to solve this "Tick Tock Triangle" problem, have fun!

A geometry proof problem involving a right triangle and finding angles of equal measure.

This is a proof problem, considered a "three star" geometry problem requiring knowledge of proofs and properties of circles to solve this equal area of inscribed polygons problem.

This is a "three star" geometry problem where prior knowledge of problem solving and thinking through proofs is recommended to solve this trapezoid inscribed in a semicircle problem.

These fifteen different activities have students applying their geometry skills and knowledge. Activities are hands-on and contain possible solutions.

A "three star geometry problem" requiring knowledge of how to complete geometric proofs and some prior math knowledge. This problem asks to prove that the mid points of any quadrilateral form a parallelogram.

This is a "three star" geometry problem where prior math problem skills and proof experience is recommended. Tile constructions may be used to solve this perimeter and area problem.

A "three star geometry problem" - requiring the knowledge of biconditional statements and how to prove such problems.

A "three star geometry problem" requiring knowledge of how to complete geometric proofs. The problem explains what the order of a vertex is and asks for the proof of a generalization.

A "three star geometry problem" - requiring the knowledge of what a cuboid is and a some knowledge of how to do proofs.