Objective- To write equations which describe geometric patterns. Let n = # of triangles Independent Dependent n p Let p = the perimeter of each figure 1 3 A) Find an equation that describes p in terms of n. 2 4 p = n + 2 3 5 B) Find the perimeter of 100 such triangles. 4 6 p = n + 2 5 7 p = 100 + 2 6 8 p = 102

n p p = 2n + 2 p = 2n + 2 p = 2(405) + 2 p = 812 Let n = # of squares Let p = perimeter of figure Independent Dependent n p 1 4 A) Find an equation that describes p in terms of n. 2 6 p = 2n + 2 3 8 4 10 B) Find the perimeter of 405 such squares. p = 2n + 2 5 12 p = 2(405) + 2 6 14 p = 812

Let n = # of hexagons Independent Dependent Let p = perimeter of figure n p 1 6 A) Find an equation that describes p in terms of n. 4 2 10 4 p = 4n + 2 3 14 4 4 18 B) Find the perimeter of 322 such hexagons. 4 p = 4n + 2 5 22 4 p = 4(322) + 2 6 26 p = 1290

n p p = 2n + 2 p = 2n + 2 p = 2(405) + 2 p = 812 Let n = # of squares Let p = perimeter of figure Independent Dependent n p 1 4 A) Find an equation that describes p in terms of n. 2 6 p = 2n + 2 3 8 4 10 B) Find the perimeter of 405 such squares. p = 2n + 2 5 12 p = 2(405) + 2 6 14 p = 812

Objective- To write equations which describe geometric patterns. Let n = # of triangles Independent Dependent n p Let p = the perimeter of each figure 1 3 A) Find an equation that describes p in terms of n. 2 4 p = n + 2 3 5 B) Find the perimeter of 100 such triangles. 4 6 p = n + 2 5 7 p = 100 + 2 6 8 p = 102

We study 3 types of equations in algebra. 1) y = 2x + 3 Linear Equations 2) y = x2 + 1 Quadratic Equations 3) y = 2x Exponential Equations Match each equation above with the following X-Y charts. A) x 2 3 4 5 y 5 10 17 26 1) B B) x 2 3 4 5 2) A y 7 9 11 13 3) C C) x 2 3 4 5 y 4 8 16 32

.