Transcript Investigating Patterns Activities

Cornell Notes & Additional Activities
Investigating Patterns
Topic: Investigating Patterns
Tool Box:
Numeric and graphic representations of data
Linear vs. non-linear data
Pattern recognition
Predictions based on patterns
How do I look
for patterns?
When looking for a pattern compare the numbers in the 1st
column to all the other columns. Look for numbers changing using
addition, subtraction, multiplication or division.
What is a
variable?
A variable is a letter or symbol used to
represent one or more numbers.
How is an
expression
used?
An expression can be used to solve for any given value.
Just substitute the given value for the variable.
Topic: Investigating Patterns
How do I
graph data?
What does a
Linear Model
look like?
What are
equivalent
expressions?
What are multiple
representations?
After deciding what data will be graphed, decide what number
scale will be most appropriate. What is the lowest and highest
numbers that occur in your data, can I count by 1’s, 2’s etc. Then
make sure to label the x and y axis correctly using the titles of the
columns. Then plot your points.
A Linear Model is a set of data that has a constant rate of change
(slope) and a graph that looks like a line.
Equivalent expressions give the same result for any given
input, but the expressions look different.
Multiple Representations are used to display data and to
find answers and/or predictions. The 4 multiple
representations are data table, expressions, graphs, and
verbal problems.
Activity 1.1
1
2
3
6
3
3
12 3
3
9
27 3
4
12 48 3
1) Describe any patterns you notice in the table of
values
2) Assume the pattern in each column continues. If
you were given a random number, how would you
determine if the number would appear in one of the
columns.
3) Based on your investigation of the table of values,
how could you label the columns? Explain your
reasoning.
4) Write an expression that represents this
relationship between numbers in the same rows in
columns 1 and 2. Explain how you could use this
expression to determine the value in row 45 of
column two.
5) Create a graphical representation of the
relationship between two columns in the table.