Vocab:
- X-axis- the x axis is the horizontal line on a graph (shown with this chart)
- Y-axis- the y axis is the vertical line on a graph (also shown with this chart)
- X coordinate- the x coordinate is the number of squares you move up from the x EX) if one coordinate is (3,8) the 3 in this case would be the x coordinate
- Y coordinate- the y coordinate is the number of squared you move up from the y EX) if we use the example again of (3.8) the 8 would be the y coordinate.
- Ordered pair- A pair of numbers (x, y) used to locate a point on a graph . The first number is the X – coordinate, and the second number is the Y – coordinate
- Origin- the origin coordinates are (0,0) so right in the middle.
- Linear function- a set of numbers that form a line on a graph
- Linear Table- shows the input (x) and the output (y)
Patterns:
You may look at the word “pattern” and say “oh well, I did that in 3rd grade!” but in grade 9 the stakes are a bit more elevated. Here is a basic pattern that we will go through together.
the first thing to do would be to make a t-chart representing the input (pattern number) and the output (number of squares)
| X | Y |
| 1 | 1 |
| 2 | 4 |
| 3 | 7 |
| 4 | 10 |
the next step to finding the pattern is to find out the rule, we know that the y is + 3 each time, therefore tthe start of our rule will be 3x, as you can tell that isn’t the only step because if we use the example 3×1= 3 and the number we want is 1, so the rule would become 3x-2. if we try with our table 3, so that would be the rule for the question.
the last step to this question would be to graph the points, you would do (1,1) (2,4)(3,7)(4,10) and you would put the pattern number on the x axis, and the output number on the y axis.
here are a few different examples of graphs,
So here I shown you how to find a pattern in a set of objects, i have tough you how to make a table with ”X” and ”Y”, and lastly i have told you how to graph them (plus examples of what graphs look like)
Picture credits:
https://sites.google.com/site/meredithedu732/lesson-5
http://www.bbc.co.uk/bitesize/ks3/maths/algebra/coordinates/revision/2/
https://www.tes.com/lessons/oR3CE5DNLvVzRw/graph-vertical-and-horizontal-lines
https://courses.lumenlearning.com/precalcone/chapter/write-the-equation-for-a-linear-function-from-the-graph-of-a-line/
https://www.mathgoodies.com/lessons/graphs/line
https://mathbitsnotebook.com/Algebra1/FunctionGraphs/FNGFunctionFeatures.html