# math pattering

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• In this diagram on the board it is two pictures (figures). In figure #1 there are 3 squares and 1 triangle, but in figure #2 there are still 3 squares but now 3 triangles meaning it has increase of 2.
• This is how you show pattering through shapes!
• Now you translate your  work (shapes and figures) into an algebraic expression or T-chart. ﻿
• ﻿2x + 2
• ﻿There are ways to find an algebraic expression one is seeing it through the shapes and figures which we did already the other is to go to ground zero, and the last is making a T-chart. Here is how you find ground zero.
• ﻿So you see what you are increasing by which is 2 and then you go back to ground zero so decrease by 2 which leaves you with 2 single squares, which is the same expression 2x + 2
• Now that you have a algebraic expression which includes your constant and variable you can plot in a graph, but first you need to make a T-chart here is how you make one. ﻿The figure number always = the term number, and the amount of shapes in the figure = the term value.
• ﻿Term number
• 1 2 3
• Term value ﻿
• 4 6 8﻿
• Now you can make a graph ﻿from your T-chart.
• 8 7 6 5 4 3 2 1﻿
• ﻿y
• ﻿1  2  3  4  5  6  7  8  9  10  11  12  13  14  15  16
• You put the term number marks on the x axis and the term value on the y axis.﻿
• ﻿x
• ﻿That's how pattering works those are most of the steps on how to find a algebraic expression, making a T-chart and a graph.
• ﻿y
• ﻿Now after you plot the dots on the graph you can make a line.
• ﻿x
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