Geometry and Spatial Sense, Grades 4 to 6 - EduGains
Geometry and Spatial Sense, Grades 4 to 6 - EduGains
Geometry and Spatial Sense, Grades 4 to 6 - EduGains
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1 8<br />
LEARNING CONNECTION 3<br />
Sketches <strong>and</strong> Views Cards<br />
MATERIALS<br />
• interlocking cubes (5 per student)<br />
• small index cards (2 per student)<br />
• 3D6.BLM1: 2 cm Grid Paper, cut in<strong>to</strong> smaller pieces for gluing on<strong>to</strong> an index card (1 smaller<br />
piece per student)<br />
• 3D6.BLM2: Isometric Dot Paper, cut in<strong>to</strong> smaller pieces for gluing on<strong>to</strong> an index card (1<br />
smaller piece per student)<br />
• glue sticks<br />
Explain <strong>to</strong> students that they are going <strong>to</strong> create cards for a game that they will then have an<br />
opportunity <strong>to</strong> play with a partner.<br />
Each student begins by using five interlocking cubes <strong>to</strong> build a structure. As students build,<br />
distribute two small index cards <strong>to</strong> each student.<br />
Students then draw three orthographic views (<strong>to</strong>p, side, <strong>and</strong> front) on grid paper, <strong>and</strong> the isomet-<br />
ric view on a small piece of isometric dot paper. Finally, they cut out the views <strong>and</strong> glue each <strong>to</strong><br />
an index card. The orthographic views go on one card, <strong>and</strong> the isometric view on another.<br />
Once the students have finished, all of the orthographic views cards <strong>and</strong> all of the isometric<br />
sketch cards are collected <strong>and</strong> shuffled separately. (If some students finish well before others,<br />
have them switch cards with a partner <strong>and</strong> have the partners try <strong>to</strong> build each other’s structures<br />
from the orthographic views or the isometric sketch.)<br />
To play the game, all students draw a card from the views card pile, build the structure, <strong>and</strong><br />
then try <strong>to</strong> find the matching sketch card for their structure. Alternatively, students draw a card<br />
from the sketch card pile, build the structure, <strong>and</strong> then try <strong>to</strong> find the matching views card.<br />
LEARNING CONNECTION 4<br />
Construction Challenge<br />
MATERIALS<br />
• interlocking cubes (40 per group of students)<br />
• 3D6.BLM8: The 8 Four-Cube Structures (answer page)<br />
• 3D6.BLM9a–c: Construction Challenge (1 per student)<br />
Arrange students in<strong>to</strong> groups of four. Distribute forty interlocking cubes <strong>to</strong> each group.<br />
Challenge students <strong>to</strong> build as many different four-cube structures as possible. Remind students<br />
<strong>to</strong> test for congruent structures by rotating each structure <strong>and</strong> viewing it from different perspec-<br />
tives <strong>to</strong> make sure it is unique. (There are 8 unique four-cube structures. It is important <strong>to</strong> allow<br />
students time <strong>to</strong> discover this on their own. They will need the experience of visualizing the 8<br />
four-cube structures in different orientations in order <strong>to</strong> be successful in the activity that follows.)<br />
<strong>Geometry</strong> <strong>and</strong> <strong>Spatial</strong> <strong>Sense</strong>, <strong>Grades</strong> 4 <strong>to</strong> 6