South Carolina Academic Standards for Mathematics
7th Grade
Data Analysis and Probability
The student will demonstrate through the mathematical processes an understanding of the relationships between two populations or samples.
Lessons (10)
Introduces students to quartiles and box plots.
Students learn about the concepts and applications of chaos.
Introduces conditional probability and the probability of simultaneous events.
Introduces students to concepts that lead to probability.
Introduces students to simple probability concepts.
Introduces statistical measures of center.
This lesson will challenge students to think creatively by having them design and build water balloon catchers from random scrap materials, while requiring them to take into consideration a multitude of variables. Students will then construct at least two bar graphs to be used in a commercial advocating the purchase of their group's catcher.
Students learn about how probability can be represented using geometry.
A capstone lesson to allow students to build a working definition of fractal.
Considers probability problems with unexpected and surprising answers.
Activities (11)
Create a game spinner with variable sized sectors to look at experimental and theoretical probabilities. Parameters: Sizes of sectors, number of sectors, number of trials.
Choose one of N doors to experimentally determine the odds of winning the grand prize behind one of the doors, as in the TV program "Let's Make a Deal." Parameters: Number of doors, number of trials, staying or switching between the two remaining doors.
Enter your own data categories and the value of each category to create a pie chart. There are also built in data sets which can be viewed.
Compare theoretical and experimental probabilities, using dice, cards, spinners, or coin tosses. Three different probabilities can be compared at once. Parameters: Type of probabilities, number of trials.
Experiment with the outcome distribution for a roll of two dice by simulating a dice throwing game. Parameters: Which player wins with which total rolled.
Experiment with probability using a fixed size section spinner, a variable section spinner, two regular 6-sided dice or customized dice.
Run a simulation of how a fire will spread through a stand of trees, learning about probability and chaos. Parameters: Probability that a tree catches fire if its neighbor is on fire.
Run the classic game of life, learning about probabilities, chaos and simulation. This activity allows the user to run a randomly generated world or test out various patterns. This is a very powerful activity with a wide range of options. It runs in a separate window.
Run the classic game of life, learning about probabilities, chaos and simulation. This activity allows the user to run a randomly generated world or test out various patterns. This is a simple activity which runs directly in the Interactivate window.
Learn about sampling with and without replacement by randomly drawing marbles from a bag. Parameters: Number and color of marbles in the bag, replacement rule.
Simulate a game where two players each roll a die, and the lucky player moves one step to the finish. Parameters: what rolls win and how many steps to the finish line.