placemat
placemat Tasks
IN THE CLASSROOM
Students in grades 2-4 shade grids (or use link cubes) to build area representations of unit fractions 1/2, 1/4, 1/8, and so on, and notice that they all fit in a single square (or square grid of link cubes).
They compare this to walking to the door by repeatedly travelling half the remaining distance. They shade different representations of the fractions (as shown on the right) to create math art.
Students in grades 5-9 also compare the two fraction patterns on the right and demonstrate that 1/4 + 1/16 + 1/64 + … = 1/3 and 1/2 + 1/8 + 1/32 + … = 2/3. They also develop an understanding of 0.999… = 1.
Students in grade 9 also solve a coding puzzle about natural density (which is in Ontario grade 9 mathematics).
In grades 11-12, students learn about converging series and the role of infinity and limit in Calculus.
Next
Teacher guide & solutions … https://learnx.ca/mt/infinity-activities