Objective To write equations which describe geometric patterns'

1
Objective- To write equations which describe
geometric patterns.
Let n of triangles
Independent
Dependent
p
n
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
2
Let n of squares
Let p perimeter of figure
Independent
Dependent
p
n
1
4
A) Find an equation that describes p in terms of
n.
2
6
p 2n 2
3
8
B) Find the perimeter of 405 such squares.
4
10
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
p
n
1
6
A) Find an equation that describes p in terms of
n.
4
2
10
4
p 4n 2
3
14
4
B) Find the perimeter of 322 such hexagons.
4
18
4
p 4n 2
5
22
4
p 4(322) 2
6
26
p 1290
4
Let n of squares
Let p perimeter of figure
Independent
Dependent
p
n
1
4
A) Find an equation that describes p in terms of
n.
2
6
p 2n 2
3
8
B) Find the perimeter of 405 such squares.
4
10
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
p
n
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
6
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.
x 2 3 4 5
A)
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
7
Read examples 1, 2, 3 on pages 54 55 in your
textbook.