9-12
Student groups collect height versus distance data for rolling objects of different sizes. Each group produces two sinusoidal graphs of the data, one in which both axes are measured in units, and the other in which both axes are rescaled and free of units. Students note that the amplitude and period of the unit-free graph are the same for all groups, and then discuss how their measurement opens a different way of describing points on a unit circle.
6-8
In this lesson, students explore regular and semi-regular tessellations. Students use manipulatives to discover which regular polygons will tessellate and which will not. Students will use geometry and measurement to investigate the three regular and eight semi-regular tessellations.
6-8
Students will plot points on a coordinate grid to represent ships
before playing a graphing equations game with a partner. Points along
the
y-axis represent cannons and slopes are chosen randomly to
determine the line and equation of attacks. Students will use their
math skills and strategy to sink their opponent's ships and win the
game. After the game, an algebraic approach to the game is
investigated.
9-12
Archimedes was the first mathematician to develop a converging series
approximation to π. That highly influential discovery guided the
development of calculus many hundreds of years later. However, his
method only gives lower and upper boundaries that form intervals known
to capture π, not a single numeric estimate of π. In this lesson,
students ask, “Where is π located in those intervals?” They also
discover an improvement to Archimedes' method that generates the
infinite digits of π more efficiently and accurately.
9-12
By calculating the areas of regular polygons inscribed and circumscribed about a unit circle, students create an algorithm that generates the never-ending digits of π, a common curiosity among high school students.
9-12
This lesson is based on the Triangle Classification problem, in which students attempt to classify the triangles formed in a plane when a randomly selected point is connected to the endpoints of a given line segment.
3-5
In this lesson, students build a three‑dimensional model from their two‑dimensional blueprint. In addition, they solve problems related to constructing and decorating their clubhouse.
3-5
In this lesson, students discover the uses of geometry and measurement in the world of architecture as they are introduced to the clubhouse project.
6-8
Using a MIRA
TM geometry tool, students determine the relationships between radius, diameter, circumference and area of a circle.
9-12
Students will use a geoboard, geoboard interactive, or Geometer’s Sketchpad
® to help them discover the pattern of Pick’s Theorem.
