Vocabulary Notes

• Use a ruler to divide each MJ page into fourths. (MJ p14-15)

• Vocabulary Term

• Visual Representation

• Definition

• Personal Association or Characteristic

Variables and PatternsVariables and Patterns

Definition:

An amount that can change; Letters are used as symbols to represent variables.

Variable

Example:

Your age, your height,

your grade in math class!

Variables and PatternsVariables and Patterns

Definition:

A display of the relationship between 2 variables.

Example:

The relationship between time and distance.

Coordinate Graph

Variables and PatternsVariables and Patterns

Definition:

The value of this variable is determined by the other variable. It is graphed on the Y- axis.

Example:

The cost of a long distance call depends on how long you talk.

Dependent Variable

Variables and PatternsVariables and Patterns

Definition:

The number line that is vertical in a coordinate grid.

Y axis

X axis

Y axis

Example:

How many students ate lunch on those days would go on the Y axis.

Variables and PatternsVariables and Patterns

Definition:

The value of this variable determines the value of the other variable. It is graphed on the X- axis.

Independent Variable

Example:

Time is an independent variable.

Variables and PatternsVariables and Patterns

Definition:

The number line that is horizontal in a coordinate grid.

X axis

X axis

Y axis

Example:

Days of the week would go on the X axis

Variables and PatternsVariables and Patterns

Definition:

A labeling plan used in the axes of a coordinate grid; Needs to be consistent and appropriate.

Scale

Example: On a map, 1 inch = 1 mile.

Variables and PatternsVariables and Patterns

Definition:

An ordered pair of numbers used to locate a point on a coordinate grid.

Example:

(X,Y) or (5,3)

Coordinate Pair

Variables and PatternsVariables and Patterns

Definition:

An association between 2 or more variables. If one variable changes the other may change as well.

Relationship

Example: There is a relationship between gas in a car and how far driven.

Variables and Patterns

Making Coordinate Graphs4 Steps

– Identify two variables

– Select an axis to represent each variable

– Select a scale for each axis

– Plot the data points

Variables and Patterns

• That is the end of today’s vocabulary notes.

• Let’s get started on Investigation 1.2

Variables and PatternsVariables and Patterns

Definition:

To become different.

Example:

Temperatures rise and fall

Prices will increase or decrease.

Change

Variables and PatternsVariables and Patterns

Definition:

A rule with variables that represents a mathematical relationship.

equation or formula

Example: Area of a Circle has the formula A= r²

Variables and PatternsVariables and Patterns

Definition:

A change that happens in an expected way.

Pattern

Example: 3, 6, 9, 12… forms a pattern of counting by 3’s

Variables and PatternsVariables and Patterns

Definition:

A predictable relationship that tells how to find the value of a variable.

Rule

Example: Distance is equal to rate X time; d=rt

Variables and PatternsVariables and Patterns

Definition:

A list of values for two or more variables showing a relationship.

Table

Example: Data from observations, experiments, or calculations.

shirts cost

1 12.00

2 24.00

3 36.00

4 48.00

5 60.00

Variables and PatternsVariables and Patterns

Definition:

1st number in a coordinate pair.

Example:

(X,Y) or (5,3)

X - Coordinate

Variables and PatternsVariables and Patterns

Definition:

2nd number in a coordinate pair.

Example:

(X,Y) or (5,3)

Y - Coordinate

Variables and PatternsVariables and Patterns

Definition:

Amount of money a business takes in from selling products or charging fees

Income

Example: A theater takes in 5.00 for every person that comes to watch a movie.

Variables and PatternsVariables and Patterns

Definition:

Amount of money a business spends to run its activities.

Cost

Example: A theater spends 500.00 dollars a month for rent on the building.

Variables and PatternsVariables and Patterns

Definition:

Income minus cost; Income should be larger than the cost.

Profit

Example: A theater makes $1500.00 and pays $500.00 dollars a month for rent. The profit is $1000.00