1. Test 1 Trimester 3 Review The test will cover the two major concepts
Concept 1: The concept of less than zero
Concept 2: Statistics.
Please refer to the previous lessons if you need additional information to the review.

2. Real life Context
What are situations you can think of that involve values that are less than zero?
With a partner make a list of at least five real life situations.
Now write one on a sticky note and place on the board.

3. Possible list of items Sea level (elevation) Temperature
Credits (credit cards work below zero)
Coordinate plane

4. Examples

5. Rational Numbers
Rational Numbers are numbers that can be written as a ratio of two integers. A fraction containing a numerator and denominator that are integers. Every integer is a rational number. It comes from the word ratio. (1.75, .999).

6. Key point
Rational numbers have a point on a number line. This is unlike irrational numbers that do not repeat and continue. What are some rational numbers that we represent as a ratio of two integers?
What are non examples?
Make a list of two of each
With your partner.

7. Things to consider The opposite of 7 is negative 7 Therefore the opposite of -7 is 3 -(-7)=7 or -1(-7)=7 the one is always implied

8. Things to consider The question mathematically would like -(0)
Things to consider The question mathematically would like -(0). The result is still zero. Therefore the opposite of zero is zero or zero is the opposite of itself.

9. Practice
Are the following numbers rational or irrational? (Remember how we turned a fraction into a decimal. Divide the denominator into the numerator).
1) 6/ ) ) 2/3

10. Solve
1. -(-7) (-1 x 5) (-6 x 0)
4. -(42 ) (-18) (-1 x -18
{-(-17)} 2

11. Statistics
Vocabulary
Spread: distance between data points.

12. Reliability
Remember that with reliability it can be consistent but it does not mean that it is accurate or valid. For example if I consistently answer a problem incorrect that is reliable but not valid or accurate.

13. Mean is the average of a data point. Median is the middle of the data.
Mean Median Mode Refer to the original lessons for instruction on how to calculate each
Mean is the average of a data point.
Median is the middle of the data.
Mode is the data point that occurs the most in the data.
Remember that the mean, median, and mode are not always the same number. Think about the rock study and the effect of extreme data points upon the mean.

14. MAD Mean Absolute Deviation
To find the Mean Absolute Deviation you must first find the mean or average of a set of data. Then find the difference between each data point and the mean. Then average the differences of all the data points.

15. Statistic
A statistic is a number used to describe something about a set of data. Examples include but are not limited to mean, median, mode, and MAD.

16. Rock Study
Be prepared to answer questions about the Rock study that we did in class.
Possible questions:
What were the major findings of the rock study?
Use statistical vocabulary in your responses.
What problems with data collection and results were evident in the study.
Were your initial assumptions correct or flawed.

17. Rock Study Pictures

18. Rock Study Pictures

19. Rock Study Pictures

20. Rock Study Pictures