Module 13 of 15 Probability and Statistics Part 1 of 2 3rd Grade Math
Module 13 of 15 Probability and Statistics Part 1 of 2 3rd Grade Math
Module 13 of 15 Probability and Statistics Part 1 of 2 3rd Grade Math
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Student Name:_______________<br />
<strong>Math</strong> Teacher:<br />
HIP Manager:<br />
___________________<br />
___________________<br />
<strong>Module</strong> <strong>13</strong> <strong>of</strong> <strong>15</strong><br />
<strong>Probability</strong> <strong>and</strong> <strong>Statistics</strong><br />
“more likely than, less likely than, or<br />
equally likely as”<br />
<strong>Part</strong> 1 <strong>of</strong> 2<br />
3 rd <strong>Grade</strong> <strong>Math</strong><br />
Students: Please return your completed module to your HIP teacher. Your HIP teacher<br />
will forward your completed module to your science or math teacher to make sure you<br />
receive credit for the work you have completed. Remember, your future is extremely<br />
important to us <strong>and</strong> we are here to help you! Get your next module <strong>and</strong> keep going – you<br />
will be SUCCESSFUL!!!
Goal<br />
At the end <strong>of</strong> this module, you should<br />
be able to use data to describe events<br />
as more likely than, less likely than, or<br />
equally likely as.
What is probability?<br />
<strong>Probability</strong><br />
can be defined as<br />
the chance <strong>of</strong> an<br />
event occurring.<br />
We can use charts<br />
<strong>and</strong> graphs to better<br />
decide the likelihood<br />
<strong>of</strong> something<br />
occurring.
<strong>Probability</strong> scale<br />
Impossible: “not” possible at all.<br />
Unlikely: “not” likely to happen – but there is<br />
a very slight chance it will happen.<br />
Likely: There is a chance <strong>of</strong> happening.<br />
Certain: Definitely will happen.
<strong>Probability</strong> <strong>of</strong> an event occurring<br />
Try to make a prediction if the events listed<br />
are impossible, unlikely, likely, or certain.<br />
Remember, these are your opinions. It will<br />
help if you base your answer on<br />
previous/past events that already occurred.<br />
1. The Spurs will win the NBA Championship game. __________________<br />
2. The next baby born in San Antonio will be a girl. __________________<br />
3. You will watch television sometime today. ________________<br />
4. It will snow in San Antonio during the month <strong>of</strong> August. _________________<br />
5. You will read at least four books this month. ___________________<br />
6. It will be sunny tomorrow. _____________________
more likely than, less likely than, or equally likely as.<br />
Start here:
more likely than, less likely than, or equally likely as.<br />
“ANSWER”<br />
This must be the answer since it<br />
has the “least” number <strong>of</strong> pieces.
more likely than, less likely than, or equally likely as.<br />
I love c<strong>and</strong>ies – yum!!!<br />
I put them all in one bag so I can take them to<br />
my gr<strong>and</strong>ma’s house. On the road, I reached<br />
inside my bag <strong>of</strong> c<strong>and</strong>ies without looking.<br />
Which c<strong>and</strong>y do you think I will most likely<br />
pick? Circle your answer.
more likely than, less likely than, or equally likely as.<br />
“answer”<br />
I will probably pick out the c<strong>and</strong>y with the most<br />
amount. Remember, it’s not what you like. It’s<br />
what I will probably get if I reach inside the bag<br />
without looking.
more likely than, less likely than, or equally likely as.<br />
You are doing so good<br />
underst<strong>and</strong>ing probability.<br />
Now’ let’s try something<br />
different.<br />
Look at the spinner below.<br />
Take careful attention to the<br />
size <strong>of</strong> each area. Now, try<br />
to answer these questions.<br />
1. Which color will the spinner<br />
most likely l<strong>and</strong> on?<br />
2. Which color will the spinner<br />
least likely l<strong>and</strong> on?
more likely than, less likely than, or equally likely as.<br />
“answer”<br />
Since the largest area in the<br />
spinner is Red (half <strong>of</strong> the<br />
circle), this will be the area<br />
that the needle will most<br />
likely l<strong>and</strong> on.<br />
Since the smallest area in<br />
the spinner is Blue, this will<br />
be the area that the needle<br />
will least likely l<strong>and</strong> on.<br />
1. Which color will the spinner<br />
most likely l<strong>and</strong> on? RED<br />
2. Which color will the spinner<br />
least likely l<strong>and</strong> on? BLUE
more likely than, less likely than, or equally likely as.<br />
Let’s change the question. I<br />
will include a tally chart, <strong>and</strong><br />
let’s see if you can still give<br />
me the probability based on<br />
my question below.<br />
Which tally chart shows the most likely result <strong>of</strong> 12 spins?<br />
Chart A<br />
Color<br />
Spins<br />
Chart B<br />
Color<br />
Spins<br />
Chart C<br />
Color<br />
Spins<br />
Chart D<br />
Color<br />
Spins<br />
Red<br />
Red<br />
Red<br />
Red<br />
Yellow<br />
Yellow<br />
Yellow<br />
Yellow<br />
Blue<br />
Blue<br />
Blue<br />
Blue
more likely than, less likely than, or equally likely as.<br />
“answer”<br />
Largest area<br />
smallest area<br />
This question is asking us<br />
which chart most likely<br />
results <strong>of</strong> 12 spins. EASY!<br />
Just look at the smallest <strong>and</strong><br />
largest area. Then see which<br />
chart matches that.<br />
Which tally chart shows the most likely result <strong>of</strong> 12 spins?<br />
Chart A<br />
Color<br />
Spins<br />
Chart B<br />
Color<br />
Spins<br />
Chart C<br />
Color<br />
Spins<br />
Chart D<br />
Color<br />
Spins<br />
Red<br />
Red<br />
Red<br />
Red<br />
Yellow<br />
Yellow<br />
Yellow<br />
Yellow<br />
Blue<br />
Blue<br />
Blue<br />
Blue<br />
Yellow <strong>and</strong> blue<br />
should not be equal<br />
Yellow is NOT the<br />
largest<br />
This looks good!<br />
Red is the largest.<br />
Blue is the smallest.<br />
Red <strong>and</strong> yellow should<br />
not be equal
Your turn
Answer key
Blue<br />
toothpick<br />
has the<br />
most<br />
amount in<br />
the box.
Red should be the<br />
most. Blue should be<br />
the least. There are NO<br />
equals.
Michelle has the<br />
least amount.<br />
Therefore, the<br />
chance that the<br />
ticket will have<br />
Michelle’s name on<br />
it is “least likely”.
• Listen for probability mentioned in weather<br />
forecasts as in probability <strong>of</strong> precipitation.<br />
• Design a board game in which play is<br />
advanced through the use <strong>of</strong> number<br />
cubes or a spinner.<br />
• Get a brown bag (lunch sack). Put<br />
different things in it. Guess which item you<br />
will pick out “most likely” <strong>and</strong> which one<br />
will you pick out “least likely”.
Congratulations!!!<br />
Job Well Done, <strong>and</strong> we will see you again soon<br />
in<br />
“Dr. Dragonosky’s<br />
Mad math Lab!!”