Secondary Mathematics III

Strand: STATISTICS - Making Inferences and Justifying Conclusions (S.IC)

Understand and evaluate random processes underlying statistical experiments (Standard S.IC.1). Draw and justify conclusions from sample surveys, experiments, and observational studies. In earlier grades, students are introduced to different ways of collecting data and use graphical displays and summary statistics to make comparisons. These ideas are revisited with a focus on how the way in which data is collected determines the scope and nature of the conclusions that can be drawn from that data. The concept of statistical significance is developed informally through simulation as meaning a result that is unlikely to have occurred solely as a result of random selection in sampling or random assignment in an experiment. For S.IC.4, focus on the variability of results from experiments - that is, focus on statistics as a way of dealing with, not eliminating, inherent randomness (Standards S.IC.3-4, 6).

Standard S.IC.1

Understand that statistics allows inferences to be made about population parameters based on a random sample from that population.

• Fire!, Probability, and Chaos
A simulated forest fire is the starting place to help students understand probability and graphing and graph interpretation, mean, and variance.
• Introduction to the Materials (Math 3)
Introduction to the Materials in the Mathematics Three of the The MVP classroom experience begins by confronting students with an engaging task and then invites them to grapple with solving it. As students ideas emerge, take form, and are shared, the teacher orchestrates the student discussions and explorations towards a focused mathematical goal. As conjectures are made and explored, they evolve into mathematical concepts that the community of learners begins to embrace as effective strategies for analyzing and solving problems.
• Marbles
This activity helps the student understand randomness and probability by pulling marbles out of a bag.
• Module 9: Statistics - Student Edition (Math 3)
The Mathematics Vision Project, Secondary Math Three Module 9, Statistics, begins with a learning cycle where students construct the concept of normal distributions, understanding the effect of modifying either the mean or standard deviation.
• Module 9: Statistics - Teacher Edition (Math 3)
The Mathematics Vision Project, Secondary Math Three Module 9, Statistics, begins with a learning cycle where students construct the concept of normal distributions, understanding the effect of modifying either the mean or standard deviation.
• Musical Preferences
The basic idea is for students to demonstrate that they know what it means for two variables to be associated.
• Probability: Playing with Fire
This lesson is designed to help students understand possible outcomes of a probability experiment.
• Replacement and Probability
This lesson will help students learn the difference between sampling with and without replacement.