1. 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 = 6 8
p = 102

2. 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

3. 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

4. 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

5. 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 = 6 8
p = 102

6. We study 3 types of equations in algebra.
1) y = 2x Linear Equations
2) y = x Quadratic Equations
3) y = 2x Exponential Equations
Match each equation above with the following X-Y charts. A) x y
1) B B) x
2) A y
3) C C) x y

7. .