Interactivate: Standard Expectation

29 items total

Organization: National Council of Teachers of Mathematics
Grade Band: Grades 3 - 5
Standard Goal: Data Analysis and Probability

describe events as likely or unlikely and discuss the degree of likelihood using such words as certain, equally likely, and impossible
predict the probability of outcomes of simple experiments and test the predictions
understand that the measure of the likelihood of an event can be represented by a number from 0 to 1
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describe events as likely or unlikely and discuss the degree of likelihood using such words as certain, equally likely, and impossible

Probability: Playing with Fire	Lesson: Students use probability to determine how likely it is for each tree in a small simulated forest to catch on fire.
Probability	Lesson: Students learn about probability by predicting the outcome of planned experiments and playing racing games.
Probability and Geometry	Lesson: Students learn about how probability can be represented using geometry.
Introduction to the Concept of Probability	Lesson: Introduces students to simple probability concepts.
Misleading Graphs	Lesson: 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.
Adjustable Spinner	Activity: 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.
Crazy Choices Game	Activity: 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.
Racing Game with One Die	Activity: Experiment with probability and "fairness" with this simulation where two players each roll a die, and the lucky player moves one step towards the finish. Parameters: what rolls win and how many steps to the finish line.
Spinner	Activity: Create a game spinner with one to twelve sectors to look at experimental and theoretical probabilities. Parameters: Number of sectors, number of trials.

predict the probability of outcomes of simple experiments and test the predictions

Probability: Playing with Fire	Lesson: Students use probability to determine how likely it is for each tree in a small simulated forest to catch on fire.
Probability	Lesson: Students learn about probability by predicting the outcome of planned experiments and playing racing games.
Ideas that Lead to Probability	Lesson: Introduces students to concepts used which lead to probability.
Probability and Geometry	Lesson: Students learn about how probability can be represented using geometry.
Introduction to the Concept of Probability	Lesson: Introduces students to simple probability concepts.
Misleading Graphs	Lesson: 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.
A Better Fire!!	Activity: Students run a simulation of how a fire will spread through a stand of trees, learning about probability and chaos. Parameters: Forest density, wind direction, size of forest.
Adjustable Spinner	Activity: 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.
Crazy Choices Game	Activity: 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.
Dice Table	Activity: 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.
Spinner	Activity: Create a game spinner with one to twelve sectors to look at experimental and theoretical probabilities. Parameters: Number of sectors, number of trials.

understand that the measure of the likelihood of an event can be represented by a number from 0 to 1

Probability: Playing with Fire	Lesson: Students use probability to determine how likely it is for each tree in a small simulated forest to catch on fire.
Probability	Lesson: Students learn about probability by predicting the outcome of planned experiments and playing racing games.
Ideas that Lead to Probability	Lesson: Introduces students to concepts used which lead to probability.
Playing with Probability	Lesson:
Probability	Lesson: Students learn about probability by predicting the outcome of planned experiments and playing racing games.
Introduction to the Concept of Probability	Lesson: Introduces students to simple probability concepts.
Adjustable Spinner	Activity: 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.
Crazy Choices Game	Activity: 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.
Spinner	Activity: Create a game spinner with one to twelve sectors to look at experimental and theoretical probabilities. Parameters: Number of sectors, number of trials.