Solve the equations: 1.) 2.) 3.). Solve absolute value equations.

Solve the equations:

1.)

2.)

3.)

Entry Task 02/08/2011

24837 xx

863

1x

21)2(34 xx

Solve absolute value equations

Objective

Copy the following into your math journal, keep copying it over again till I say stop

-If c is negative then there are no solutions, since an absolute value cannot be negative.

VocabularyInequality- two expressions with an inequality symbol between them.

Solution to an inequality - a number that produces a true statement when it is substituted for the variable in the inequality.

If you multiply or divide by a negative number then you have to switch the direction of the inequality

Section 6.2 solving inequalities

243 x33

Solving linear inequalities worksheet, due on Monday, front and back.

Home Fun

Solve the inequalities:

1.)

2.)

3.)

Entry Task 02/09/2011

24837 xx

863

1x

21)2(32 xx

Complete problems 1-6 on 6.2 standardized test practice. You have 12 minutes.

If you finish early work on 6.2 B

Entry Task 02/10/2011

You want to go to the state fair and try your luck playing the games on the midway. The entrance fee is $5 and the games are each $1.50.

Write an inequality that represents the possible number of games you can play if you have $25.

Solve the inequality.

What is the maximum number of games you can play?

Entry Task 02/11/2011

Objective: Write, solve, and graph compound inequalities.

Section 6.3

A Compound inequality consists of two inequalities connected by a and or an or.

Examples:a.) All real numbers that are greater than

zero and less than or equal to 4.

Or and

Solving Compound inequalities

40 x x0 4x

B.) All real numbers that are less than negative one or greater than 2.

or

Examples cont.

1x 2x

Entry Task 02/14/2011Which values of x make the following true?

1.) 2.)

Solve.

3.)

4.)

5x 9 x

27 x

104210 x

or 77 x

Objective: Solve absolute value equations. Solve absolute value inequalities.

Section 6.4

Entry Task 02/15/2011Which values of x make the following true?

1.) 2.)

Solve.

3.)

4.)

53 x 94 x

33 x

1792 x

and 53x

or 10105 x

Entry Task, write this down

Entry Task 02/16/2011Solve.

1.) 2.)53 x 964 x

Get out 6.4 so I can check it for group points.

Complete problems 1-6 on the 6.4 Standardized test practice. You have 12 minutes

Entry Task 02/17/2011

Find the mean, median and mode of the following set of data,

0 69 68 60 23 0 0 76 0 0 73 0 81 0 48 18 0 89 0 0 75 75

Now get rid of the zeros and do the same thing.

What has changed? If I told you these were your test scores, why

might I leave out the zeroes when I calculate the mean median and mode?

Entry Task 11/07/2011

Distribute and then combine like terms.

1.) 3(2x-1) 2.) 2a-3(4-a)

3.) 4y(2y+3)-8y2 +1 4.) 4v3 – 3v2(2v+1)+ 2v2

Find the area of a rectangle whose length is 2x and whose width is 3x-1

Entry Task 11/07/2011

Chapter 6PLEs for 6.6 and 6.7

A1.2.D: Determine whether approximations or exact values of real numbers are appropriate, depending on the context, and justify the selection

A1.6.A: Use and evaluate the accuracy of summary statistics to describe and compare data sets.

A1.6.B: make valid inferences and draw conclusions based on data.

Algebra 1

Objective: Make and use a stem-and-leaf plot to put data in order. Find the mean, median and mode of data.

Section 6.6

A stem and leaf plot organizes data based on digits.

Make a stem and leaf plot for the following set of data.

45 1 52 42 10 40 50 40 7 46 19 35 3 11 31 6 41 12 43 37 8 41 48 42 55 30 58

Stem and leaf plot

Work problem 11 on homework

Mean, median and mode are all measures of central tendency, they are numbers that tell us something about a set of data

The mean of n numbers is the sum of the numbers divided by n

The median of n numbers is the middle number when they are arranged in order, if n is even, the median is the mean of the two middle numbers

The mode of n numbers is the number that occurs most frequently, there may be more than one or no mode.

Measures of central tendency

Make and stem and leaf pot and then find the mean, median and mode of the following data set. Which measure of central tendency is most representative of the data?

45 1 52 42 10 40 50 40 7 46 19 35 3 11 31 6 41 12 43 37 8 41 48 42 55 30 58

Measures of central tendency

If I add the number 100 to the previous data set, what would happen to my mean?

The mode?

The median?

What if…?

Determine if the following relationship is a function.

What is the solution to

a.) 7 b.) 31/3 c.) -7 d) 21

What is the solution to a.) -6/23 b.) no solution c.) 0 d.) 23

Simplify:1.) 3(x-4) 2.) 4-2(1-x)+3x 3.) 2b(b-4)-2b

+1

Entry Task 11/08/2010

2653 x

xx 5113)27(4

Objective: Draw a box-and-whisker plot to organize real-life data. Read and interpret a box-and-whisker plot.

Section 6.7

A Box-and-Whisker plot divides data into four parts.

The data is first divided in half by the median, which is also called the second quartile.

Then you take the median of the lower half of the data, this is called the first quartile.

Next you take the median of the upper part of the data, this is called the third quartile.

Make a box and whisker plot of the following numbers11 19 5 34 9 25 16 17 11 12 7

Box-and-Whisker Plots

11 19 5 34 9 25 16 17 11 12 7

Example

1.) The following data are temperatures for the month of December. First make a stem and leaf plot and then use the stem and leaf plot to make a box and whisker plot. What part of the box and whisker plot represents the top half of the data?

40 8 12 33 26 21 30 31 0 32 35 19 15 2.) Find the mean and mode of the above data.

What measure of central tendency best represents the temperature in December?

simplify3.) 4.)

Entry Task 11/10/2010

27)47( x xx 5113)27(5

Fitting a line to dataBest-fit line- A line that represents a

collection of data, even if you can’t draw a line through all of the points

Sometimes there is no line of best fit

Correlation

Positive correlation- When one increases, so does the other

Negative correlation- when one increases, the other decreases

No correlation- when there is no good line of best fit

Mr. Shapiro found that the amount of time his students spent doing mathematics homework is positively correlated with test grades in his class. He concluded that doing homework makes students’ test scores higher. Is this conclusion justified? Explain any flaws in Mr. Shapiro’s reasoning.

Does the data have a positive or negative correlation?

A graph comparing the age in months of a group of high scholars to their height in inches is to the right.

Is there a positive correlation between height and age

Would you say that this data proves that being older makes you taller? Why?

If not, what would we need to do to prove it?

Correlation

160 170 180 190 200 210 2200

10

20

30

40

50

60

70

80

height (inches) vs age (months)

height (inches)

Age (months)

Pg. 378 #1-10Homework

For the following data first make a stem and leaf plot and then use the stem and leaf plot to make a box and whisker plot. What part of the box and whisker plot represents the top half of the data?

40 8 12 33 26 21

Solve:

Entry Task 11/10/2010

2747 x xx 5113)27(5

Entry Task 11/15/2010For the following data first make a stem and

leaf plot and then use the stem and leaf plot to make a box and whisker plot. What part of the box and whisker plot represents the top half of the data?

10 8 9 2 3 2 1 4 5

Solve: 1765 x )511(7327 xxx

Pg. 381 quiz 3 #1-9

Due at end of period

Review Assignment