High schoolers discuss and identify polygons and lines. In this geometry lesson plan, learners review liner, square and cubic units so they can incorporate it into the lesson plan on measurement and creating packing that are cost effective.

Students recognize and measure geometric shapes within abstract art. They examine quilts for shapes and they each make their own quilt from squares using geometry and measurement.

Students explore the relationship between geometry and ancient American art. They see how to recognize geometric properties in specific works and explain how these properties contribute to their meaning and artistic merit.

Pupils are asked to visualize three-dimensional figures and apply this visualization to problem solving.

Don't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through...

Given a pair of parallel lines and a triangle in between, geometers prove that the sum of the interior angles is 180 degrees. This quick quest can be used as a pop quiz or exit ticket for your geometry class.

Students practice calculating probability, see how geometry can help solve probability problems and explore platonic solids.

Young scholars examine the relationship between probability and geometry to solve problems. In this geometry and probability lesson, students investigate the effect of changing percentages on a spinner to the probability of landing on a...

Pupils figure out how to be resourceful when tasked with finding the area of a triangle knowing nothing but its endpoints. Beginning by exploring and decomposing a triangle, learners find the perimeter and area of a triangle. They...

Small groups work through two guided activities to derive the distance and midpoint formulas for the coordinate plane. The activities begin with concrete examples and move to abstract.

Puzzle your way through to a new understanding of area. Scholars learn about the area of polygons through equidecomposability, the idea that polygons that can be decomposed into the same set of pieces have the same area. By using...

Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...

The topic of trigonometric ratios is often covered with loads of rote memorization baked into the activity. This activity set, however, leans more on using similar triangles and discovery learning to help young geometers develop a deeper...

Here is a turnkey lesson that walks young statisticians through the development and uses of conditional probability. From dice games to surveys, Venn diagrams to frequency tables, the class learns how a given can effect the overall...

Students identify patterns found in nature. In this algebra lesson, students model situation in nature using fractals. They investigate biological geometric structures and draw conclusion based on geometric concepts.

Learners explore the concept of tessellations. In this tessellations lesson, students use an applet to construct tessellations. Learners use regular polygons to construct tessellations. Students find patterns and symmetry in their...

How many sides does that polygon have? Building directly from lesson number eight in this series, learners now find the area and perimeter of any polygon on the coordinate plane. They decompose the polygons into triangles and use Green's...

A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...

Students investigate topology. In this Applied Science lesson students explore higher, more abstract mathematics using tangles. Students make topologically related shapes.

Scholars create and perform experiments attempting to answer Buffon's Coin problem. They discover the relationships between geometry and probability, empirical and theoretical probabilities, and area of a circle and square.

Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...

See how design and geometry go hand in hand. The activity asks learners to use geometry to design a backyard garden given dimensions of each feature. Scholars work with ratios and scale to develop an accurate scale drawing that includes...

Just like a painting or the symbols on a flag, quilts can express ideas that reflect a cultural context, space, and time. The class discusses the history of quilt making throughout US history and what different types of quilts mean. They...

It's amazing the complex figures that can be made using only a few simple shapes. Following a class reading of the children's book Grandfather Tang's Story by Ann Tompert, young mathematicians use sets of tangrams to create models...