1. Scientific Notation and Graphing
Objectives 1:c and 4

2. Essential Questions How do you convert to and use scientific notation?
How do you calculate using scientific notation?
How do you draw a line graph?
How do you interpret a line graph?

3. Scientific Notation
Scientific notation is when a number between 1-10 is being multiplied by a 10 raised to a power.
Number of stars in a galaxy

4. Scientific Notation (cont)
When writing in scientific notation you move the decimal until the number is between 1-10
When you move to the right it is a negative power and to the left is a positive power
Ex: 1000 = 1.0 x 103
= 1.1 x 10-3

5. Scientific Notation (cont)
Convert into scientific notation
31 100
Convert to regular notation
5.09 x 10-8
2.45 x 106
6.3 x 103
2.03 x 10-5

6. Scientific Notation (cont)
Calculate the following (using EE, exp, or x 10x) Write answers in scientific notation and round to the nearest tenth.
(5. 9 x 10-10)(5.4 x 106)
6.3 x 103
1.0 x 10-3
(3.0 x 10-2)(2.3 x 104)
9.9 x 10-6
(7.0 x 10-6)_______
(3.9 x 10-11) (2.4 x 10-9)
= 3.2 x 10-3
= 6.3 x 106
= 7.0 x 107
= 7.5 x 1013

7. Line Graphs
The independent variable (the one being changed) is the x-axis and the dependent variable is the y-axis
Label each axis with its value and type of measurement
Place a dot where the values for both the x-axis and y-axis meet
Connect the dots with a line

8. Line Graphs (cont) Graph the following data points
Elevation (m)
Temperature (°C)
100
19.5
200
18.7
300 18
400
17.5
500
16.8
600 16
Graph the following data points
The independent variable is elevation and the temperature is the dependent variable

9. Interpreting Line Graphs
If a slope is close to being linear (straight line) there is a direct relationship between the variables.
If the line goes up from left to right it means as the independent variable increases the dependent variable increases with it
If the line sinks as it goes to the right it means as the independent variable increases the dependent variable decreases

10. Interpreting Line Graphs (cont)
Proportional (increase together)
Inversely proportional (independent increases, but the dependent decreases)

11. Interpreting Line Graphs (cont)
Graph the following data points
The independent variable is time and the distance is the dependent variable
What is the relationship between time and distance?
Time (hours)
Distance (Km) 1 10 2 20 3 30 4 40

12. Interpreting Line Graphs (cont)
Time (sec)
Position (m) 60 2 50 4 40 6 30 8 20 10
Graph the following data points
The dependent variable is position and the time is the independent variable
What is the relationship between position and distance?

13. Essential Questions How do you convert to and use scientific notation?
How do you calculate using scientific notation?
How do you draw a line graph?
How do you interpret a line graph?

14. Scientific Notation and Graphing Assignment
Worksheet