Problems of the Month (POM)/Expert Investigations
Type:
Graphic Organizer/Worksheet, Unit, OtherDescription:
Problems of the Month (POM)/Expert Investigations
Subjects:
- Mathematics > General
- Mathematics > Problem Solving
- Education > General
Education Levels:
- Grade 6
- Grade 7
- Grade 8
Keywords:
Problem-based learningLanguage:
EnglishAccess Privileges:
MembersLicense Deed:
Creative Commons Attribution Non-CommercialCollections:
NoneTable of Contents
Problems of the Month (POM)/Expert Investigations
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Problems of the Month (POM)/Expert Investigations
The Shape of Things
by Cristina BustamanteThe Shape of Things
Cut It Out
by Patricia Finck8.G.1: Level C, D, and E Task The problem of the month asks the student to use spatial reasoning to make sense of part of a visual image. In level C, a student works with the inverse challenge. The student is given visual images of the unfolded square piece of paper that has been folded a number of times and holes have been cut. The student must determine how many folds were required and how the cut was made.
Cutting a Cube
by Patricia Finck8.G.1: Level C, D, and E Task Students verify experimentally the properties of rotations, reflections, and translations…by exploring nets of cubes.</
Between the Lines
by Patricia Finck8.G.2: Level B and D Task Students understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
Miles of Tiles
by Patricia Finck8.G.2, 8.G.4: Level D This task challenges a student to make a table and use guess-and-check. A student uses a set of three different tiles. A rectangular tile is constructed with the length, the size of the larger tile, and the width the size of the smaller tile. 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.
Surrounded and Covered
by Patricia Finck8.G.1, 8.G.3, 8.G.4: Level E This task challenges a student to use area and perimeter in the context of fractal geometry and Sierpinski’s Triangle.</p>
What's Your Angle
by Patricia Finck8.G.4: Level C and D This task challenges a student to investigate a complex geometric situation involving angles and side lengths. Students need to try enough cases and variety of cases to see patterns about the number of numbers in a sequence, the relationships of the numbers in the sequence, and the pattern that will be produced.</p>
