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Geometry and Spatial Sense, Grades 4 to 6 - EduGains

Geometry and Spatial Sense, Grades 4 to 6 - EduGains

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Students’ first experiences with coordinate geometry in the junior grades come in the form<br />

of grids, commonly used in maps. A grid system uses a combination of letters <strong>and</strong> numbers<br />

<strong>to</strong> describe a general location of a shape or an object. Because the grid system identifies an<br />

area rather than a point, precise locations cannot be described.<br />

Students will bring <strong>to</strong> the junior grades an underst<strong>and</strong>ing of grids that comes from both<br />

classroom experiences <strong>and</strong> non-classroom experiences. The hundreds chart, social studies<br />

maps, data management activities, <strong>and</strong> games are some examples of students’ exposure <strong>to</strong><br />

grids. Teachers should try <strong>to</strong> make connections with those learnings when introducing grids.<br />

Some examples include:<br />

1<br />

2<br />

3<br />

4<br />

5<br />

6<br />

A<br />

B C D E F G<br />

The blue triangle<br />

is located in B2.<br />

• exploring location on non-labelled grids. Students may use phrases like “third from the<br />

left <strong>and</strong> two down” <strong>to</strong> identify a square. These phrases can later be connected with labels;<br />

• predicting new locations on the basis of a particular movement. For example, if you<br />

started in square B1, <strong>and</strong> kept moving <strong>to</strong> the right, how would the label of each new<br />

square change? What if you started in B1 <strong>and</strong> kept moving down?;<br />

• exploring local <strong>and</strong> provincial maps <strong>and</strong> atlases that use similar grid identification systems;<br />

• playing games that require the use of a grid. For example, students might play games<br />

similar <strong>to</strong> Battleship, in which hidden shapes must be found by guessing grid positions.<br />

Coordinate systems differ from grid systems in that they identify a point rather than an<br />

area. In a coordinate system, the lines are labelled, rather than the area bounded by the lines.<br />

One way <strong>to</strong> describe or label these lines is <strong>to</strong> use the cardinal directions with a numbering<br />

system <strong>to</strong> describe the location of an object in relation <strong>to</strong> a point.<br />

C<br />

A<br />

O<br />

B<br />

Learning About Location <strong>and</strong> Movement in the Junior <strong>Grades</strong> 6

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