Miles of Tiles

In the Problem of the Month Miles of Tiles, students are engaged in tasks that involve puzzles of number relationships, equations, and simultaneous constraints. The mathematical topics that underlie this POM are measurement, number sentences, area models, variables, inverse operations, equations, quadratics, factoring, and simultaneous systems.

Complete as many levels as you can. Try the problems above and below your grade level.

Use the Write Up (below) to explain how you solved it.

Submit completed forms to Room 6 (basket on the secretary's desk) for a Math Pawsitive!

Level A

Primary - 3rd - This task challenges a student to work with a picture frame and a set of tiles of differing lengths to find different arrangements of tiles to make a decorative picture frame.

Mar Level A.pdf

Level B

3rd to 4th - This task challenges a student to determine an arrangement of a given number of tiles to make a level four Magic Square. Students will use number sense and guess‐and‐check methods to help them solve this task. IDEA: USE CHEESE-ITS!

Mar Level B.pdf

Level C

5th to 6th - This task challenges a student to use systems of equations. A student is given a picture of a patio made of uniform rectangular tiles. Only one dimension of a rectangular patio made with these uniform tiles is given and a student is asked to determine the dimensions of the uniform tile.

Mar Level C.pdf

Level D

Middle School - This task challenges a student to make a table and use guess‐and‐check. A student uses a set of three different‐sized tiles. . A student must create all the possible configurations which can be made using 6 large squares, 4 small squares, and an unlimited number of rectangles. Common

Mar Level D.pdf

Level E

7th to High School - This task challenges a student to use products and factors as well as quadratic relationships. A student is asked to generalize the principles of the area model and its dimensions in Level D.

Mar Level E.pdf

Write Up

All Levels - turn in Rm 6

Problem of the Month Write-up

dear-parents