Illustrative Mathematics
Illustrative Mathematics: G Mg Paper Clip
A paper clip is just over 4 cm long. How many paper clips like this may be made from a straight piece of wire 10 meters long? This high level task is an example of applying geometric methods to solve design problems and satisfy physical...
Illustrative Mathematics
Illustrative Mathematics: G Srt, G Mg Coins in a Circular Pattern
In this task, students investigate how many coins will fit around a central coin when they are all of the same denomination, and if there is room left over. The teacher is given a chart of four coin denominations and their diameters, but...
Illustrative Mathematics
Illustrative Mathematics: G Srt, G Mg How Far Is the Horizon?
Some friends are at the beach looking out onto the ocean on a clear day and they wonder how far away the horizon is. A second problem asks how far the horizon would be from the top of a mountain. Students must also answer a question...
Illustrative Mathematics
Illustrative Mathematics: G Mg Eratosthenes and the Circumference of the Earth
For this task, students must investigate an experiment by Eratosthenes where he estimated the circumference of the Earth. It requires collaboration with at least one other school. Aligns with G-MG.A.
Illustrative Mathematics
Illustrative Mathematics: G Mg Running Around a Track Ii
An Olympic 400 meter track is made up of two straight sides and two semi-circular curves. For this task, students are asked to examine the perimeters of the different runners' tracks and the starting places that must be assigned in order...
Illustrative Mathematics
Illustrative Mathematics: G Mg Running Around a Track I
An Olympic track is made up of two straight sides and two semi-circular curves. For this task, young scholars are asked to calculate the perimeters at two places on the first lane and to determine the span of a 400-meter lap. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: G Mg, a Ced Regular Tessellations of the Plane
This task examines the ways in which a plane can be covered by regular polygons in a regular tessellation arrangement. The problem uses the formula for the measure of the interior angles of a regular polygon and the goal of the task is...