Representing Mathematical Relationships in Multiple Ways Lessons 1-7

Line graph

An axis-type graph in which data points are joined by a line.

Picture Diagram

Picture representation of the problem

How to find the algebraic rule:

Look for how much the output increases by-- multiply by the input by the amount it increased by in the output (you may also need to add or subtract a number depending on the problem)

Output

The results of the operation of any system.

sequence

the order in which things happen or should happen

Input-output table

An input-output table is a two-column table whose first column contains input values of a function and whose second column contains output values. The values in the first column are elements of the function's domain, and the values in the second column are elements of the function's range.

Write an algebraic rule to describe the relationship in a table.

Examples: y=(the constant difference of the output)multiplied by the input + # or y= output - input or y=(the constant difference of the output)multiplied by the input - #

Which of the following representations model the pattern shown if x represents ______ and y represents _____ in the figure.

Find the table, graph, algebraic rule, or in words that show you how to find the pattern.

How to find a situation that matches a given table:

Look for how much the output and input increases by and match the numbers of the situation and the table

Constant Difference

Number term is repeatedly subtracted or added.

Scale on Graph

Scale (on a graph) The scale is what you mark on the axes. It's the relation between the units you're using, and their representation on the graph i.e., the distance between marks.

Input

Something put into a system, such as resources, in order to achieve a result.

In an algebraic rule

Use a variable (letter) to represent the number of items in the question (Example: Use n to represent the number of bikes and w to represent the number of wheels.)

In context of the problem

Using words to explain your answer using the vocabulary and items discussed in the problem.