aim: what is predicting? vocabulary: extrapolation interpolation tables graphs data
TRANSCRIPT
AIM: What is Predicting?
Vocabulary:EXTRAPOLATION
INTERPOLATION
TABLES
GRAPHS
DATA
What is Predicting?
Graphing Data
WHO knows how to GRAPH Data?
What is Predicting?
What is Data ?
Data is your observations when conducting an experiment or preliminary scientific investigation
What is Predicting?
How is Data presented ?
Data is usually presented in:
1. Written descriptive format2. Tables3. Graphs4. Or a combination of all of these
What is Predicting?
Imagine this experiment:
Suppose we wanted to track the rate of growth of a type of tomato plant We plant the plant Then, we record its growth each day over a number of days
ü
What is Predicting?
Our Tomato plant Grew to height of:
2 inches on day 2, 4 inches on day 5, 8 inches on day 10, 10 inches on day 15, 14 inches on day 20
This is a descriptive
format
What would be a better way to present the data?
Plant Height
2
4
8
10
14
Day of Growth
2
5
10
15
20
Table of Plant Days vs. Plant Height:
Is this format
better for reviewing our results
then the descriptive formant?
Plant Height
2
4
8
10
14
Day of Growth
2
5
10
15
20
Table of Plant Days vs. Plant Height:
This is called a data table. Data tables make it easier to understand
your observations
What is Predicting?
DATA TABLES:ALSO MAKE IT EASIER TO GRAPH.
IT IS EASIER TO GRAPH FROM A DATA TABLE, RATHER THAN TRYING TO GRAPH FROM A
DESCRIPTIVE PARAGRAPH.
Draw your Axis
Y-axis
X-axis
Label Your X Axis:
Y-axis
X-axis
Label the Days
Days
5 10 15 20 25
`
Label Your Y Axis:
Y-axis
X-axis
Plan
t Heigh
tin inches 6
4
810
2
12
X-axisDays
5 10 15 20 25
`
1416
Now Plot Your Points
Y-axis
X-axis
Plan
t Heigh
tin inches 6
4
810
2
12
Days
5 10 15 20 25
`
1416
Now Draw Your Line
Y-axis
X-axis
Plan
t Heigh
tin inches 6
4
810
2
12
Days
5 10 15 20 25
`
1416
LASTLY: TITLE YOUR GRAPH
Y-axis
X-axis
Plan
t Heigh
tin inches 6
4
810
2
12
Days
5 10 15 20 25
`
1416
Y-axis
X-axis
Plan
t Heigh
tin inches 6
4
810
2
12
Days
5 10 15 20 25
`
1416
The Height of Mr. Zim’s Tomato Plant
Plant #1
Alternative Title for the Graph
Y-axis
X-axis
Plan
t Heigh
tin inches 6
4
810
2
12
Days
5 10 15 20 25
`
1416
(X vs Y): Days of Growth Vs. Plant Height
What is Predicting?
Based upon YOUR graph
What would the plant height be of Mr. Z’s plant on day 7
Plant Height on Day 8?
Y-axis
Plan
t Heigh
tin inches 6
4
810
2
12
Days
5 10 15 20 25
`
1416
(X vs Y): Days of Growth Vs. Plant Height
Plant #1
6.5 inches
What is Predicting?
Based upon YOUR graph
What would be the plant height of the plant 1 on day 14
Plant Height on Day 14?
Y-axis
Plan
t Heigh
tin inches 6
4
810
2
12
Days
5 10 15 20 25
`
1416
(X vs Y): Days of Growth Vs. Plant Height
= 9.5 inches
What is Predicting?
Based upon YOUR graph
What would be the plant height of plant #1 on day 23?
How did you figure that out?
Plant #1 Height on Day 23?
Y-axis
Plan
t Heigh
tin inches 6
4
810
2
12
Days
2 5 10 15 20 25
`
1416
(X vs Y): Days of Growth Vs. Plant Height
=15 inches
What is Predicting?
Interpolate.
To estimate a value between two known values.
Y-axis
Plan
t Heigh
tin inches 6
4
810
2
12
Days
2 5 10 15 20 25
`
1416
(X vs Y): Days of Growth Vs. Plant Height
EXAMPLE of INTERPOLATION
What is Predicting?
Extrapolate
An estimated value which follows logically from the known values
To infer or estimate by extending or projecting known information.
Y-axis
Plan
t Heigh
tin inches 6
4
810
2
12
Days
5 10 15 20 25
`
1416
(X vs Y): Days of Growth Vs. Plant Height
Example of EXTRAPOLATION
Y-axis
Weigh
tin pounds 200
250
150
Height (feet)
5 5.5 6 6.5
300
(X vs Y): Height of Football Player Vs. Weight
Extrapolate the weight of a player who is almost 7 feet tall?
Y-axis
Weigh
tin pounds 200
250
150
Height (feet)
5 5.5 6 6.5
300
(X vs Y): Height of Football Player Vs. Weight
Interpolate the weight of a player who is almost 5 feet 9 inches tall?