Investigating Patterns

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Cornell Notes Additional Activities

• Investigating Patterns

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Topic Investigating Patterns
Numeric and graphic representations of
data Linear vs. non-linear data Pattern
recognition Predictions based on patterns
Tool Box
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.
How do I look for patterns?
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.
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Topic Investigating Patterns
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 1s, 2s etc. Then make
sure to label the x and y axis correctly using
the titles of the columns. Then plot your points.
How do I graph data?
A Linear Model is a set of data that has a
constant rate of change (slope) and a graph that
looks like a line.
What does a Linear Model look like?
What are equivalent expressions?
Equivalent expressions give the same result for
any given input, but the expressions look
different.
What are multiple representations?
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.
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Activity 1.1

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.

1 3 3 3
2 6 12 3
3 9 27 3
4 12 48 3