Lesson · Grade 6 · Mathematics

Graphing a Pattern as Points

  • Grade 6
  • Mathematics
  • 1 min 18 s
  • British Columbia
  • BC6-MA-26

An L-shaped tile pattern with 3, 5, 7 and 9 tiles goes into a table, and each row becomes an ordered pair (figure number, tiles). Each pair is plotted in the first quadrant by going across and then up, which shows each point 1 across and 2 up from the one before. The points are not joined because there is no figure 1½.

Concept: Graphing a pattern as points in the first quadrant

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In one sentence

The question this lesson answers

How can we show this tile pattern on a graph?

Figure 1 has 3 tiles, figure 2 has 5, figure 3 has 7 and figure 4 has 9.

Transcript

What the lesson says

How can we show this tile pattern on a graph?

Figure 1 has 3 tiles, figure 2 has 5, figure 3 has 7 and figure 4 has 9.

Each new figure has 2 more tiles than the one before.

Put the figure numbers and the numbers of tiles in a table.

Each row gives an ordered pair: the figure number first, then the tiles.

Draw a grid with the figure number across and the number of tiles up.

Both numbers are positive, so we only need the first quadrant.

To plot the pair 1, 3, start at zero, go 1 across, then 3 up.

Mark a point there.

Plot the other pairs the same way, across and then up.

Each point is 1 across and 2 up from the one before, because each figure has 2 more tiles.

There is no figure 1 and a half, so we do not join the points.

To graph a pattern, plot each pair as a point, with the figure number across and the tiles up.

Curriculum

Where this fits

British Columbia, Grade 6

Mathematics, Patterns and algebra: increasing and decreasing patterns, using expressions, tables, and graphs as functional relationshipsBC6-MA-26

Previous: Finding the rule from a tableNext: Equations as a balance

The outcomes and strands follow the British Columbia curriculum.