| Sixth Grade
Understand the Concept
of Probability and Solve Problems
- D.PR.06.01 Express probabilities as fractions,
decimals, or percentages between 0 and 1; know that
0 probability means an event will not occur and that
probability 1 means an event will occur.
- Certain
and Impossible Events -
This site defines certain and impossible events.
The student will identify as certain or impossible,
and to compute the probabilities of these events.
Interactive spinners and dice are included. The
student takes a short quiz after reading and working
with the interactive spinners and dice.
- Dice
Table
This activity allows the user to calculate the
probability of each number (2-12) appearing when
two dice are rolled. They also get practice converting
probabilities into fractions, decimals, and percentages.
This site gives why, what, and how to tips for
the user. Student centered activity.
- Fish
Tank - Math Files
Outstanding
- This is a student interactive site,
where students must add or remove colored fish
to a tank to achieve the correct answer, finding
the probability of removing a red fish from a
group of yellow and red fish in the tank. Several
levels of difficulty, to challenge all learners.
Levels two and three are much harder. In these
levels, students must remove or add fish to get
the desired probability (listed in either decimal
or fraction form). Students have to really use
their problem-solving skills in level three.
- Introduction
to Probability
This site defines experiment, outcome, event,
and probability. The site helps to understand
the formula for finding the probability of an
event and to find the probabilities of simple
events with equally likely and with non-equally
likely outcomes. Interactive spinners and dice
are included. The student takes a short quiz after
reading and working with the interactive spinners
and dice.
- Simulating
Probability Situations
Students can use interactive box models to explore
probability. Open-ended questions are included.
Bar graphs of the experiments are automatically
generated.
- The
Cereal Box Problem - A Lesson in Expected Value
This activity addresses the NCTM Standard for
Probability for grades 5-8 through it's use of
modeling situations and asking students to make
predictions. It includes online simulation of
the problem in addition to a hands-on activity
using dice and a pencil and paper. Also includes
teacher notes, references and related questions.
- What
Are Your Chances to Win? $Lottery
The student is taken through a short explanation
of how to determine their chances of winning a
3 digit lottery draw. They use this information
to determine probably for other lottery games.
- D.PR.06.02 Compute probabilities of events
from simple experiments with equally likely
outcomes, e.g., tossing dice, flipping coins, spinning
spinners, by listing all possibilities and finding
the fraction that meets given conditions.
- Area
Probability (Throw Darts!)
Students manipulate the size of a circle and a
rectangle to explore the probability that a dart
thrown into a rectangle will land in the circle.
- The
Birthday Problem: A short lesson in probability
This activity surveys the possibility of birthdays
occurring on the same day in as small a group
as 28 students. It also extends the problem to
using a computer to simulate this problem to see
what the probability generated by a random list
of birthdays would be.
- The
Cereal Box Problem - A Lesson in Expected Value
This activity addresses the NCTM Standard for
Probability for grades 5-8 through it's use of
modeling situations and asking students to make
predictions. It includes online simulation of
the problem in addition to a hands-on activity
using dice and a pencil and paper. Also includes
teacher notes, references and related questions.
- Certain
and Impossible Events
This site defines certain and impossible events.
The student will identify as certain or impossible,
and to compute the probabilities of these events.
Interactive spinners and dice are included. The
student takes a short quiz after reading and working
with the interactive spinners and dice.
- Dice
Table
This activity allows the user to calculate the
probability of each number (2-12) appearing when
two dice are rolled. They also get practice converting
probabilities into fractions, decimals, and percentages.
This site gives why, what, and how to tips for
the user. Student centered activity.
- Figure
This! Math Challenges for Families
Figure This! Mathematics Challenges for Families
provides interesting math challenges that middle-school
students can do at home with their families. Each
challenge features a description of the important
math involved, a note on where the math is used
in the real world, a hint to get started, complete
solutions, a "Try This" section, additional related
problems with answers, questions to think about,
fun facts related to math, and resources for further
exploration. Math Challenge #26 is an example
of a problem that would help teach this particular
benchmark.
- Fish
Tank - Math Files
Outstanding
- This is a student interactive site,
where students must add or remove colored fish
to a tank to achieve the correct answer, finding
the probability of removing a red fish from a
group of yellow and red fish in the tank. Several
levels of difficulty, to challenge all learners.
Levels two and three are much harder. In these
levels, students must remove or add fish to get
the desired probability (listed in either decimal
or fraction form). Students have to really use
their problem-solving skills in level three.
- Independent
and Dependent Events
After a brief explanation and example of independent
and dependent events, the student conducts experiments,
tally results, and determine probability to find
the number of yellow chips in a bag.
- Introduction
to Probability
This site defines experiment, outcome, event,
and probability. The site helps to understand
the formula for finding the probability of an
event and to find the probabilities of simple
events with equally likely and with non-equally
likely outcomes. Interactive spinners and dice
are included. The student takes a short quiz after
reading and working with the interactive spinners
and dice.
- Math
Goodies: Probability Independent Events
Introduces probability by giving examples and
interactive samples. Introduction to independent
events with challenging exercises, as well as
interactive games and puzzles are included.
Challenging quiz for students is found at the
end of the lesson.
- Replacement
and Probability
This site is a teacher lesson plan which goes
through a step by step description of the differences
between dependent and independent events. It allows
the teacher to use hands-on activities to show
students the difference. It then has follow up
questions for the students.
- Simulating
Probability Situations
Students can use interactive box models to explore
probability. Open-ended questions are included.
Bar graphs of the experiments are automatically
generated.
- The
Cereal Box Problem - A Lesson in Expected Value
This activity addresses the NCTM Standard for
Probability for grades 5-8 through it's use of
modeling situations and asking students to make
predictions. It includes online simulation of
the problem in addition to a hands-on activity
using dice and a pencil and paper. Also includes
teacher notes, references and related questions.
- What
Are Your Chances to Win? $Lottery
The student is taken through a short explanation
of how to determine their chances of winning a
3 digit lottery draw. They use this information
to determine probably for other lottery games.
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