Daily Archives: February 21, 2018

What I Know About Grade Nine Linear Relations

Posted by rubym2017 in Math 9 and tagged with

Patterns:

  • A pattern is a repeated design that can increase or decrease the quantity of objects in each image.

  • This is an example of a linear pattern. You can see how the quantity of squares increases in each step.
  • A linear pattern is that if you plotted the information of the pattern onto a graph and the plotted points make a pattern, then the coordinates of each point may have the same relationship between the x and y values.
  •  Here is a T-chart that is made from the information included in the pattern above. If you look at the T-chart, you will notice that the numbers in the white column increase by four each time. This is a good thing to notice, as it will help you with the questions to come.

Linear Relation Rules:

  • A linear relation is a relationship between two products, that if plotted on a graph, it would make a straight line.
  • A linear rule is a algebraic expression that is used to demonstrate how to get the output Y-values for a given set of input X-values. This rule will help us determine what the rest of the pattern would be without even looking at the image! It would also help us know where to successfully plot the information onto a graph.
  • Going back to the information on the given T-chart above, we know that the number of squares goes up by four each time.
  • Let’s think that the grey column is also named “X”, and the white column is also named “Y”.  We would write “4x” to represent the X-value increasing my four, each step.
  • (4)(1) would not bring us to 6. Now it is time for you to figure out whether you should add of subtract to find the answer given in the “Y” column.
  • Now we know that the rule would be 4x+2

Plotting Points on a Graph:

  • Plotting points on a graph is simple. A graph is basically a horizontal number line (x-axis), crossing through a vertical number line (y-axis).
  • Let’s say that we had a T-chart that represented the rule “2x+1”.
  • We will use this information to plot our dots successfully onto our graph.
  • If you remember when I said that the grey column is named “X” and the white column is named “Y”, you will place the dot where 1 on the x-axis and 3 on the y-axis meets in the middle.
  • You will continue that by using the rest of the information in the T-chart and you will begin to notice that plotted dots create a straight line that will run through your graph.