4 2 5 1 3 0011 0010 1010 1101 0001 0100 1011 Thursday, April 12 th Please complete Warm up 1.Solve: 2.Simplify 4³ ÷ 12 + 5 Warm UP 4 12 5 k
Jan 03, 2016
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Thursday, April 12th
Please complete Warm up
1. Solve:
2. Simplify 4 ÷ 12 + 5 ³
Warm UP4
125
k
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TOMORROW IS GAME DAY!!!
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CW Grade Algebra
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Whiteboard Review
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Evaluate:4m when m=.4
4 x .4
=1.6
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Find the sum22.3 + 5.23
27.53
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Evaluate:(10-5+7) + 4
28
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Find the value:3
81
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Find the value
1
1
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Subtract 2 – 0.4
1.6
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Divide 0.50 ÷ 5.00
0.1
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You have 16 yards of material. You need to make costumes for the holiday play. If each costume requires ¼ yd of material, how many costumes can you make?
64
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20 – 10 ÷ (8-3)+6
24
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Question
Find GCF of
24 and 80
8
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Question
Solve .5x = 30
60
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DATA&
PROBABILITY
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• Easy to read• Graphically
shows data
~A graph that uses pictures or symbols to
represent data
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Pictographs
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~ A graph that uses vertical or
horizontal bars to display data
· Used to compare quantities· Each bar represents a different category
* Double Bar graphs compare two groups in each category.
• Easy to read• Graphically
shows data
~A graph that uses pictures or symbols to
represent data
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~ A graph that uses vertical or
horizontal bars to display data
· Used to compare quantities· Each bar represents a different category
* Double Bar graphs compare two groups in each category.
• Easy to read• Graphically
shows data
~A graph that uses pictures or symbols to
represent data
~ A number line with marks or dots that show frequency
· Shows the shape and distribution of data· Can easily be turned into a histogram
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~ A graph that uses vertical or
horizontal bars to display data
· Used to compare quantities· Each bar represents a different category
* Double Bar graphs compare two groups in each category.
• Easy to read• Graphically
shows data
~A graph that uses pictures or symbols to
represent data
~ A number line with marks or dots that show frequency
· Shows the shape and distribution of data· Can easily be turned into a histogram
~ A bar graph that shows the frequency of data within equal
intervals
· Groups data into numeric intervals
· Shows the shape and distribution of data
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~ A graph that uses vertical or
horizontal bars to display data
· Used to compare quantities· Each bar represents a different category
* Double Bar graphs compare two groups in each category.
• Easy to read• Graphically
shows data
~A graph that uses pictures or symbols to
represent data
~ A number line with marks or dots that show frequency
· Shows the shape and distribution of data· Can easily be turned into a histogram
~ A bar graph that shows the frequency of data within equal
intervals
· Groups data into numeric intervals
· Shows the shape and distribution of data
~ A graph that uses line segments to show
how data changes
· Used to show change over time· Time should always be displayed on
the x-axis
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~ A graph that uses vertical or
horizontal bars to display data
· Used to compare quantities· Each bar represents a different category
* Double Bar graphs compare two groups in each category.
• Easy to read• Graphically
shows data
~A graph that uses pictures or symbols to
represent data
~ A number line with marks or dots that show frequency
· Shows the shape and distribution of data· Can easily be turned into a histogram
~ A bar graph that shows the frequency of data within equal
intervals
· Groups data into numeric intervals
· Shows the shape and distribution of data
~ A graph that uses line segments to show
how data changes
· Used to show change over time· Time should always be displayed on
the x-axis
· Used to compare quantities· Represents percents of data· All sections must add up to 100%
~ A graph that uses sections of a circle to compare parts to the whole and parts to
other part
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Practice
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Make a line plot
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How many students favorite school lunch is breakfast?
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How many more students like yellow compared to
red?
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If 150 people are surveyed, how many people would you expect to like cherry pie?
If 300 people are surveyed, how many people would you expect to like apple pie?
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What are all the ages of people at the family
reunion
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Choosing the appropriate
graph
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Depending on the data to be displayed, some types of graphs are more useful than others.
Common Uses of Data Displays
Line Plot
You can use a line plot to show the
frequency of values on a number line.
Bar Graph
You can use a bar graph to display
and compare data in separate categories.
Line Graph
You can use a line to show how data
change over a period of time.
Stem-and-Leaf
You can use a stem-and-leaf plot to show how often data values occur and how they are
distributed.
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A table shows the miles jogged by five boxers. Which graph would be more appropriate to show the data-a line plot or a line graph? Defend your answer
Boxer Al Bo Max Jo Ty
Miles 12 17 10 18 17
Example #1
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0011 0010 1010 1101 0001 0100 1011Think: is the information in the table describing
the frequency of values? Is it describing a change over time?
A line plot table shows the frequency of values on a number line. So a line plot table is more appropriate than a line graph table.
xxxx x
10 11 12 13 14 15 16 17 18
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The table shows the height of some plants. Which graph would be more appropriate to show the data-a bar graph or a stem-and-leaf plot? Defend your answer
Height of Plants (ft)
11 27 14 35 11 26
#2
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Think: The table shows a number of different heights. It does not compare data in separate
categories.
A stem-and-leaf plot shows how often data values occur. So a stem-and-leaf plot is more appropriate than a bar graph.
Stems Leaves
1 1 1 4
2 6 7
3 5
Key 2|6 means 26.
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A table shows the number of feet of grass each neighbor must mow. Which graph would be more appropriate to show the data-a line graph or bar graph? Defend your answer
Neighbor Sal Jax Pete Lar Ni
Feet 32 11 5 25 20
#3
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Think: is the information in the table describing a change over time? Is the information in the
table divided into different categories?
The table shows the number of feet each neighbor mows. The data should be displayed in separate categories. So a bar graph is more appropriate than a line graph. 0
5
10
15
20
25
30
35
Sal
Jax
Pete
Lar
Ni
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The table shows the number of tickets each student purchased for the school carnival. Which graph would be more appropriate to show the data-a line plot or line graph?
Student Chad Julz Shane Lyn Rex
Tickets 4 7 4 4 5
#4
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0011 0010 1010 1101 0001 0100 1011Think: is the information in the table describing
the frequency of values? Is it describing a change over time?
A line plot shows the frequency of values on a number line. So a line plot is more appropriate than a line graph.
x
xxx x
1 2 3 4 5 6 7 8 9
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How much do most students weigh?
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What type of graph would best represent the data?
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Summary
• What type of graph would you use to show change over time?
Line Graph• What type of graph would you use to compare
data?Bar Graph
• What type of graph compares parts to a whole?Circle Graph
• Which type of graph shows the frequency of data?Stem-and-Leaf, Line Plot, or Histogram
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Probability
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What is it?• Probability is a measure of how likely
an event is to occur
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How to Write it• Probabilities are written as:
– Decimals from 0 to 1
– Fractions from 0 to 1
– Percents from 0% to 100%
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Theoretical Probability
• The probability of an event is written:
P(event) = number of ways event can occur
total number of outcomes
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Think……
In THEORY, what should happen?
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1. What is the probability that the spinner will stop on part A?
2. What is the probability that the spinner will stop on
(a) An even number?(b) An odd number?
3. What is the probability that the spinner will stop in the area marked A?
ABC D
3 12
A
C B
TRY THESE:
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Don’t let them fool you! Unless they actually give you data, then just find theoretical probability
Ex: John flipped the coin 10 times, how many times should it land on tails?
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What is the outcome in this experiment?
experiment?
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IMPORTANT Vocabulary Word
Trial: In probability a single
occurrence or observation in an
experiment. Ex: When rolling a number cube each roll.
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Experimental Probability• The ratio of the number of times
the event occurs to the number of trials.
The more trials performed, the more accurate the estimate will be.
• It’s what actually happens vs what is supposed to happen!
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Green 15
Orange 10
Purple 8
Pink 7
An experiment consists of spinning a spinner. Use the results in the table to find the experimental probability of
the event.
Spinner lands on orange
#1 Finding ExperimentalProbability
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#2 Experimental ProbabilityAn experiment consists of spinning a spinner 8 times. The spinner lands on red 4 times, yellow 3 times, and green
once. Find the experimental probability of each event.
1. The spinner lands on red.
2. The spinner does not land on green.
3. The spinner lands on yellow.
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When you toss a coin, there are two possible outcomes, heads or tails. The table
below shows the theoretical probabilities and experimental results of tossing a coin
10 times.
ExperimentalVs.
Theoretical
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Experimental to Theoretical
What number of trials would get be
closer to the theoretical probability?
a. 100 trials b. 1000 trialsc. 10000 trials d. 100000 trials
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Predictions
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Take probability and multiply it by the number of trials
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#1 If I know that I have a 1/6 chance of rolling a 1, how many times would I expect to roll a 1 if I rolled the number cube 90 times?
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AnswerMultiply the probability by the number of times you do the experiment
1 90 1 3015
6 1 2 1
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#2If you roll a dice 20 times, how many time do you expect to roll an even number?
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AnswerEven: 3/6=1/2 Multiply by number of trials
1 20 1 1010
2 1 1 1
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Theoretical Experimental
Compare & Contrast
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ANY QUESTIONS?!?!?!?!
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Coach Book Practice
Pages 227-2311-14
Extra Credit: Page 181 1 and 2