Aim: 1. How can we create a graph? 2. What is the purpose of a graph?
Do Now: Handout – Read introduction & write the definition for each vocabulary word.
Homework: Have a Great Weekend!!!
Setting Up Line Graph• Create a title• Each axis must be labeled & indicate units
• Independent variable (the cause) is represented on the horizontal axis (X-axis)
• Dependent variable (the effect or result) is represented on the vertical axis (Y-axis)
• Numbers on each axis must be consistent
(each box or line increases by same amount)
• Points must be plotted in proper location, circled and connected
What is the
purpose of a graph?
1. Graphs provide an organized way to display data
2. They provide an easier way to see patterns which may be used to make predictions
VOCABULARY:
• Variable – a factor that can be changed (increase, decrease, or remain the same)
• Relationship – association between 2 variables
• Independent Variable – you change (causes a response)
• Dependent Variable – is effected (responds to independent variable)
• Direct Relationship – both variables change in the same way or direction (both increase or both decrease)
• Inverse Relationship – variables change in different directions
Time in ShowerAmt. of water used
Direct
Size of ServingAmt. of Calories
As the serving size increases, the amt. of calories taken in increases
Direct
As the length of time in the showerincreases, the amt. of water used increases
Calorie IntakeWeight
As calorie intake increases, a person’s weightalso increases
Direct
Amt. of ExerciseWeight
As the amt. of exercise increases, a person’s weight decreases
Inverse
# of students in classroomTemp. of classroomAs the # of students in a classroom increases, The temp. of the classroom increases
Direct
Amt. of ExerciseHeart Rate
As the amt. of exercise increases, a person’s heart rate increases
Direct
# of students sharing a pizza pieSize of a slice of pizzaAs the # of students sharing a pizza pie increases, The size of a slice of pizza decreases
Inverse
Amt. of completed homeworkGrades
As the amt. of completed homework increases,your grades will also increase.
Direct
Carbon dioxide level in the bloodRate of breathing
As carbon dioxide levels in the blood increase,Your breathing rate will increase.
Direct
Aim: What is the relationship between the dependent & independent variables? (Interpreting Line Graphs Part B)
Do Now: 1. Take out homework. 2. Handout
Homework: Complete Part C (1-5)
Study for next Thursday & Friday’s exam on Graphing & Density
Date: 10/5/2007 Friday
A is heavier than BA is shorter than BB weighs less than AB is taller than A
A is faster than BA is younger than BB is slower than AB is older than A
A costs less than B
B costs more than AA is smaller than B
B is larger than A
B weighs less than AA weighs more than B
A & B have the same temp.
A is warmer than BA is earlier than B
A is more intelligent than BA has shorter feet than BB is colder than A
B is later than A
B has longer feet than AB is less intelligent than A
Aim: What are 4 types of line graphs? Do Now: 1. Take out homework. (Part C)
2. What is a cycle?
Homework: Handout
(Graphs: Multiple Choice 1-10)
What is a cyclic event?
•Events that repeat themselves over & over again
•Can be used to make predictions
Examples include:•Phases of the moon•Day & Night•Tides•Yearly cycles
A. B. C. D.
Temp Temp Temp Temp
Time Time Time Time
(ºC)
(Hour) (Hour) (Hour) (Hour)
(ºC) (ºC) (ºC)
RelationshipRelationship
RelationshipRelationshipAs time increases,Temp. increases
As time increases,Temp. stays the same
As time increases,Temp. decreases
As time increases,Temp. Increases Then Decreases…
Direct Relationship Inverse
Relationship CyclicEvent
Example: If we have 4 different pieces of aluminum, each having a different volume, which graph shows the relationship between density & volume?
A. B. C. D.Density Density Density Density
Volume Volume Volume Volume
(g/ml) (g/ml) (g/ml) (g/ml)
(ml) (ml) (ml) (ml)
Aim: 1. How can we interpolate & extrapolate information from a graph?
2. Hand back Scientific Method & DMV Exam
Do Now: 1. Take out homework.
2. What does extrapolate mean?
Homework: Study for tomorrow’s Quiz on Graphs.
How can we extrapolate information from our graph?
Extend the line of your graph using a straight edge (ex. ruler)
•You can extend the line in both directions!!!
What is the mass of this object if the volume is 275 ml?What is the volume of this object if the mass is 400 g?
What is the mass of this object if the volume is 100 ml?What is the volume of this object if the mass is 300 g?
Aim: Review: What do you know about graphing & density?
Do Now: Prepare for Graphing Quiz.
Homework: Study for next Tuesday & Wednesday’s Graphing Exam
Graphing Quiz:1. Two variables that change in different directions
(one increases & one decreases) describes a ____________ relationship.
2. Identify the Dependent Variable for the following: Heart Rate/Amount of Exercise:
3. Label the following graph with the above variables:
4. Write down the type of relationship. (Inverse or Direct)
5. Draw the shape of the line on the graph. ( or )
• Using your graph handout from yesterday answer questions 8 & 9:
8.What is the mass of the object if the volume = 125mL?
9.What is volume of the object if the mass =
350 g?
10. Describe what the word “extrapolation” means.
Match the Following Densities to the Picture:
A. 1.0 g/cm3
B. 2.0 g/cm3
C. 0.7 g/cm3
D. 0.2 g/cm3
E. 0.5 g/cm3
E
B
CD
A
Aim: Exam: What do you know about graphing & density? Part II
Do Now: Take out Pencil & Calculator & put up binders
Homework: Study for Tomorrow’s exam on Graphing & Density – Part I
***Bring a #2 pencil & calculator