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Trends in International Mathematics and Science Study

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ISC

TIMSS Special Initiative in
Problem Solving and Inquiry
Supported by the US National Science Foundation

Grade 4 Math: Geometry Tiles

Items:
introduction
1
2

introduction

Geometry Tiles Introduction

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Grade 4 Math: Geometry Tiles

Items:
introduction
1
2

Geometry Tiles Item 1

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Geometry Tiles Item 1 Sample Answer

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1A: Triangle Pattern

Correct Response

or

Incorrect Responses

Used two triangle tiles but created two small black triangles
Other incorrect

1B: Square Pattern

Correct Response

Incorrect Responses

Used four triangle tiles but did not create a black square
Other incorrect

1C: Fraction of Pattern Shaded

Correct Responses

1/2 or equivalent
Correct fraction based on incorrect figure in part B

Incorrect Responses

1/4
Other incorrect

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Grade 4 Math: Geometry Tiles

Items:
introduction
1
2

Geometry Tiles Item 2

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Geometry Tiles Item 2 Sample Answer

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2A: 4-Tile Pattern without Triangle Tiles

Correct Response

Draws a pattern made up of 2 black tiles and two white tiles.

Incorrect Responses

Shaded 1/2 of the figure but used triangle tiles
Shaded 1/4 of the figure
Shaded 3/4 of the figure
Other incorrect

2B: 8-Tile Pattern

Correct Response

Any figure using 3 black, 1 white, and 4 triangle tiles:

Partially Correct Response

5/8 of the figure shaded without using correct tiles

Incorrect Responses

1/2 of the figure shaded
Other incorrect

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