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71 Results
  • Curriculum Topic
    Student Working Hard

    Precalculus and Advanced Topics, Module 5, Topic C Overview

    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....
  • Curriculum Topic
    Students Together

    Precalculus and Advanced Topics Module 2, Topic C, Overview

    Jan 26, 2016 - Topic C provides a third context for the appearance of matrices via the study of systems of linear equations.  Students see that a system of linear equations can be represented as a single matrix...
  • Curriculum Topic
    Graduation Day

    Precalculus and Advanced Topics Module 2, Topic E, Overview

    Jan 26, 2016 - In Topic E students apply the knowledge developed in this module to understand how first-person video games use matrix operations to project three-dimensional objects onto two-dimensional screens and...
  • Curriculum Topic
    Student on Compouter

    Precalculus and Advanced Topics Module 2, Topic D, Overview

    Jan 26, 2016 - Topic D opens with a formal definition of a vector.  The arithmetical work for vector addition, subtraction, scalar multiplication, and vector magnitude is explored along with the geometrical...
  • Curriculum Topic
    Students Having Fun

    Precalculus and Advanced Topics, Module 3, Topic C Overview

    Jan 26, 2016 - In Topic C students study inverse functions, being careful to understand when inverse functions do and do not exist, working to restrict the domain of a function to produce an invertible function. ...
  • Curriculum Topic
    Students Discussing School

    Precalculus and Advanced Topics Module 3, Topic B, Overview

    Jan 26, 2016 - In Topic B, students explore composition of functions in depth and notice that a composition of a polynomial function with the function f(x) = 1/x gives functions that can be written as ratios of...
  • Curriculum Topic
    Students in Library Together

    Precalculus and Advanced Topics Module 2, Topic A, Overview

    Jan 26, 2016 - In Topic A, students look at incidence relationships in networks and encode information about them via high-dimensional matrices.  Questions on counting routes, the results of combining networks,...
  • Curriculum Topic

    nysed_playlist_no_item_0.jpg

    Precalculus and Advanced Topics Module 2, Topic B, Overview

    Jan 26, 2016 - Topic B explores the geometric context for higher-dimensional matrices.  The geometric effect of matrix operations—matrix product, matrix sum, and scalar multiplication—are examined, and students...
  • Curriculum Topic
    Students Commencement Ceremony

    Precalculus and Advanced Topics Module 3, Topic A, Overview

    Jan 26, 2016 - Topic A brings students back to the study of complex roots of polynomial functions.  Students briefly review quadratic and cubic functions and then extend familiar polynomial identities to both...
  • Curriculum Topic
    Students Studying

    Precalculus and Advanced Topics Module 1, Topic C, Overview

    Jan 26, 2016 - Topic C highlights the effectiveness of changing notations and the power provided by certain notations such as matrices. The study of vectors and matrices is introduced through a coherent connection...
  • Curriculum Topic
    Girls Doing Homework

    Precalculus and Advanced Topics Module 1, Topic B, Overview

    Jan 26, 2016 - In Topic B, students develop an understanding that when complex numbers are considered points in the Cartesian plane, complex number multiplication has the geometric effect of a rotation followed by...
  • Curriculum Topic
    Student Using Technology in the Classroom

    Precalculus and Advanced Topics Module 4, Topic B, Overview

    Jan 26, 2016 - Students derive sophisticated applications of the trigonometric functions in Topic B including:  the area formula for a general triangle, the law of sines, the law of cosines, and Heron’s formula. ...
  • Curriculum Topic
    Student Studying

    Precalculus and Advanced Topics Module 5 Topic A

    Jan 26, 2016 - In this topic, students extend their understanding of probability, building on work from Grade 11. The multiplication rule for independent events introduced in Grade 11 is generalized to a rule that...
  • Curriculum Topic
    Student Using Computer

    Precalculus and Advanced Topics, Module 4, Topic C Overview

    Jan 26, 2016 - The graphs of the trigonometric functions are revisited in Topic C.  Students visualize these graphs with the aid of the appropriate software and briefly recall how changing various parameters of a...
  • Curriculum Topic
    Graduation

    Precalculus and Advanced Topics, Module 1, Topic A, Overview

    Jan 26, 2016 - Topic A begins the study of linearity looking at common misconceptions made by math students.  This study leads to complex solutions which launches the study of products, quotients of complex numbers...
  • Curriculum Topic
    Group Working Together

    Precalculus and Advanced Topics Module 4 Topic A

    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...
  • Curriculum Topic
    Student Looking at Notes

    Precalculus and Advanced Topics Module 5, Topic B, Overview

    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...
  • Curriculum Topic
    Student Taking Notes on Studies

    Geometry Module 5, Topic E, Overview

    Jan 26, 2016 - The module concludes with Topic E focusing on the properties of quadrilaterals inscribed in circles and establishing Ptolemy's theorem.  This result codifies the Pythagorean theorem, curious facts...
  • Curriculum Topic
    Student Reading in Library

    Geometry Module 5, Topic D Overview

    Jan 26, 2016 - Topic D brings in coordinate geometry to establish the equation of a circle.  Students solve problems to find the equations of specific tangent lines or the coordinates of specific points of contact...
  • Curriculum Topic
    Students Attentive in Class

    Geometry, Module 5, Topic C Overview

    Jan 26, 2016 - In Topic C, students explore geometric relations in diagrams of two secant lines, or a secant and tangent line (possibly even two tangent lines), meeting a point inside or outside of a circle.  They...
  • Curriculum Topic
    Girls Studying

    Algebra II Module 4, Topic D, Overview

    Jan 26, 2016 - Conclusions are drawn based on data from a statistical experiment.  Simulation is used to explore whether an oberved difference in group means is significant.  Published reports based on statisical...
  • Curriculum Topic
    Students in a Group

    Algebra II Module 3, Topic E, Overview

    Jan 26, 2016 - Topic E is a culminating series of lessons driven by MP.4, Modeling with Mathematics.  Students apply what they have learned about mathematical models and exponential growth to financial literacy...
  • Curriculum Topic
    Group Working Together

    Geometry Module 5 Topic B Overview

    Jan 26, 2016 - Topic B defines the measure of an arc and establishes results relating chord lengths and the measures of the arcs they subtend.  Students build on their knowledge of circles from Module 2 and prove...
  • Curriculum Topic
    Students in HS Library

    Algebra II Module 3, Topic D, Overview

    Jan 26, 2016 - Topic D opens with a hands-on simulation and modeling activity in which students gather data and apply the analysis of Lesson 22 in Topic C to model it with an exponential function (A-CED.2, F-LE.5...
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