https://padlet.com/miyazakiw0617/1a4qqsyblih5 By: Wendy Miyazaki Period 2 en-us 2016-10-24 15:40:17 UTC 2023-03-24 01:50:52 UTC hello@padlet.com miyazakiw0617 https://padlet.com/miyazakiw0617/1a4qqsyblih5/wish/132745183 -Discrete: do not connect the dots on a graph, pattern happens only at specific moments.
-Continuous: dots are connected on a graph, pattern constantly happens overtime.
-Increasing at a constant rate: average rates are the same (positive)
-Pattern remains constant:
average rates are always zero
-Increasing at an increasing rate: average rates are an increasing pattern (slope is positive)
-decreasing at a constant rate: average rates are the same (negative)
-Decreasing at an increasing rate: (slope is positive)
-Slope: average rate of change.
-Recursive: tells how to get to the next term.
-Explicit: equation that allows you to look at any term.
-Geometric sequence: when you multiply by a common ratio for each term.
-Arithmetic sequence: add a common difference to each term.
-Common Ratio: the ratio of each term of a geometric progression to the term proceeding it.
-Common Differences: the difference between successive terms in an arithmetic series.
-Arithmetic Mean: the average of a set of numerical values, calculated by adding them together and dividing by the number of terms in the set.
-Geometric Mean: the central number in a geometric progression also calculable as the nth root of a product of n numbers.

]]> 2016-10-24 15:43:45 UTC https://padlet.com/miyazakiw0617/1a4qqsyblih5/wish/132745183 miyazakiw0617 https://padlet.com/miyazakiw0617/1a4qqsyblih5/wish/132748267 Point-Slope:
y=m(x-x1)+y1
shows you y-intercept and slope and is easy to graph
Point-Ratio:
x-x1
y=y1(r)
Linear Functions: 
y=m(x-x1)+y1
helps you graph because it gives you points and slope
Exponential Functions:
r(x-x1)*y1
also helps you graph because it gives you points and the common ratio.
Compound Interest:
               t
A=P(1+r)
shows you how to get the compound interest in an increasing situation.
Decreasing Interest:
              t
A=P(1-r)
shows you how to get the compound interest in a decreasing situation.
Recursive sample formula: 
f(n)=f(n-1) x 2       f(1)=2
shows you how to get the next answer.
Explicit sample formula:     f(n)=3(n-1)+2 
allows you to look at any term.
 Sum of a Sequence: 
(last+first/2)n 
allows you to determine the sum of a sequence faster.
Summation notation (below): convienient way to give a concise expression for a sum of the values for a variable. ]]> 2016-10-24 15:50:07 UTC https://padlet.com/miyazakiw0617/1a4qqsyblih5/wish/132748267 miyazakiw0617 https://padlet.com/miyazakiw0617/1a4qqsyblih5/wish/132880763 Interest: shows the principal, the interest rate, and the time. There is increasing and decreasing.
Graphing Exponential Functions: makes a curve on a graph and you usually use an equation to help graph.
Arithmetic Mean: last number in the sequence minus the first number in the sequence divided by the number of jumps.
Geometric Mean: nth root(# of jumps) the last number in the sequence divided by the first number in the sequence.
Summation Notation: find the expression that gets you from one term to the next and substitute n for the number of items you want to find. 
Arithmetic Recursive and Explicit Equations: (recursive) f(1) or f(0)= the first term. f(n)=f(n-1)+ the common difference. (explicit) f(n)=the first term plus the common difference times n-1 or n.
Geometric Recursive and Explicit Equations: (recursive) f(1) or f(0)= the fist term. f(n)=f(n-1) times the common ratio. (explicit) f(n)= the first term times the common ratio to the nth power or the n-1 power.]]> 2016-10-25 00:55:47 UTC https://padlet.com/miyazakiw0617/1a4qqsyblih5/wish/132880763 miyazakiw0617 https://padlet.com/miyazakiw0617/1a4qqsyblih5/wish/132880786 This is a sample problem of an exponential graph.

This is a sample problem of summation notation. That shows how to solve the problem.]]> 2016-10-25 00:55:58 UTC https://padlet.com/miyazakiw0617/1a4qqsyblih5/wish/132880786 miyazakiw0617 https://padlet.com/miyazakiw0617/1a4qqsyblih5/wish/132880872 https://www.youtube.com/watch?v=V1yMHZ3Up1Y
This video covers how to graph exponential equations. This could help someone learn how to graph these functions.

This video covers how to find the sum using summation notation. This could help someone who is confused about how to solve using summation notation.]]> 2016-10-25 00:56:48 UTC https://padlet.com/miyazakiw0617/1a4qqsyblih5/wish/132880872