Apr 15, 2016 - In this module, students build on their understanding of probability developed in previous grades. In Topic A the multiplication rule for independent events introduced in Algebra II is generalized...
Mar 24, 2016 - This module revisits trigonometry that was introduced in Geometry and Algebra II, uniting and further expanding the ideas of right triangle trigonometry and the unit circle. New tools are introduced...
Mar 24, 2016 - Students revisit the fundamental theorem of algebra as they explore complex roots of polynomial functions. They use polynomial identities, the binomial theorem, and Pascal’s Triangle to find roots...
Mar 24, 2016 - Module 2 extends the concept of matrices introduced in Module 1. Students look at incidence relationships in networks and encode information about them via high-dimensional matrices. Matrix...
Mar 24, 2016 - Precalculus Module 1: Complex Numbers and Transformations
Module 1 sets the stage for expanding students' understanding of transformations by exploring the notion of linearity. This leads to the...
Feb 09, 2016 - Student Outcomes
Students determine the values of the sine, cosine, and tangent functions for rotations of π/3, π/4, and π/6 radians.
Students use the unit circle to express the values of the sine,...
Feb 09, 2016 - Topic A helps students recall how to use special triangles positioned within the unit circle to determine geometrically the values of sine, cosine, and tangent at special angles. The unit circle is...
Feb 01, 2016 - Updated Modules and Curricular Resources
The tables below reflect Mathematics and English Language Arts curricular materials and resources that have been updated. As additional materials are updated...
Jan 26, 2016 - Student Outcomes
Students use probability to learn what it means for a game to be fair.
Students determine whether or not a game is fair.
Students determine what is needed to make fair an unfair game...
Jan 26, 2016 - Student Outcomes
Given a description of a discrete random variable, students determine the probability distribution of that variable.
Students interpret probabilities in context.
Jan 26, 2016 - Student Outcomes
Students use empirical data to estimate probabilities associated with a discrete random variable.
Students interpret probabilities in context.
Jan 26, 2016 - Student Outcomes
Students use empirical data to estimate probabilities associated with a discrete random variable.
Students interpret probabilities in context.
Jan 26, 2016 - Topic C is a capstone topic for this module, where students use what they have learned about probability and expected value to analyze strategies and make decisions in a variety of contexts (S.MD.B....
Jan 26, 2016 - Student Outcomes
Students analyze simple games of chance.
Students calculate expected pay off for simple games of chance.
Students interpret expected pay off in context.
Jan 26, 2016 - Student Outcomes
Given the probability distribution of a discrete random variable in table or graphical form, students describe the long-run behavior of the random variable.
Given a discrete...
Jan 26, 2016 - In this topic, students first distinguish between discrete and continuous random variables and then focus on probability distributions for discrete random variables. In the early lessons of this...
