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165 Results
  • 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 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 Lesson
    Students Working

    Precalculus and Advanced Topics Module 4, Topic B, Lesson 10

    Jan 26, 2016 - Student Outcomes Students apply the law of sines or the law of cosines to determine missing measurements in real-world situations that can be modeled using non-right triangles, including situations...
  • Curriculum Lesson
    Friends

    Precalculus and Advanced Topics Module 4, Topic B, Lesson 9

    Jan 26, 2016 - Student Outcomes Students prove the law of cosines and use it to solve problems.
  • Curriculum Lesson
    Studying Students

    Precalculus and Advanced Topics Module 4, Topic B, Lesson 8

    Mar 20, 2020 - Student Outcomes Students prove the law of sines and use it to solve problems.
  • Curriculum Lesson
    Student in Library Reading

    Precalculus and Advanced Topics Module 4, Topic B, Lesson 7

    Jan 26, 2016 - Student Outcomes Students prove the formula Area = 1/2 bc sin(A) for a triangle. They reason geometrically and numerically to find the areas of various triangles.
  • 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 Lesson
    Students in the Library

    Precalculus and Advanced Topics Module 4, Topic A, Lesson 5

    Feb 09, 2016 - Student Outcomes Students construct a tangent line from a point outside a given circle to the circle.
  • 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 Lesson
    Students in Library

    Precalculus and Advanced Topics Module 3, Topic A Lesson 9

    Jan 26, 2016 - Student Outcomes Students will be able to give an informal argument using Cavalieri’s principle for the formula for the volume of a sphere and other solid figures.
  • Curriculum Lesson
    Student Writing

    Precalculus and Advanced Topics Module 3, Topic A, Lesson 8

    Jan 26, 2016 - Student Outcomes Students learn to graph equations of the form x2/a2 - y2/b2 =1 . Students derive the equations of hyperbolas given the foci, using the fact that the difference of distances from the...
  • Curriculum Lesson
    Student Looking for a Book

    Precalculus and Advanced Topics Module 3, Topic A, Lesson 7

    Jan 26, 2016 - Student Outcomes Students derive the equations of ellipses given the foci, using the fact that the sum of distances from the foci is constant.
  • Curriculum Lesson
    Students in Study Group

    Precalculus and Advanced Topics Module 3, Topic A, Lesson 6

    Jan 26, 2016 - Student Outcomes Students convert between the real and complex forms of equations for ellipses. Students write equations of ellipses and represent them graphically.
  • 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 Lesson
    Students Learning

    Geometry Module 5, Topic E, Lesson 21

    Jan 26, 2016 - Student Outcomes Students determine the area of a cyclic quadrilateral as a function of its side lengths and the acute angle formed by its diagonals. Students prove Ptolemy’s theorem, which states...
  • Curriculum Lesson
    Group Work

    Geometry Module 5, Topic E, Lesson 20

    Jan 26, 2016 - Student Outcomes Students show that a quadrilateral is cyclic if and only if its opposite angles are supplementary. Students derive and apply the area of cyclic quadrilateral ABCD as 1/2 AB·CD·sin(w...
  • 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 Lesson
    Students Working With Teacher

    Geometry Module 5, Topic D, Lesson 19

    Jan 26, 2016 - Student Outcomes Given a circle, students find the equations of two lines tangent to the circle with specified slopes. Given a circle and a point outside the circle, students find the equation of the...
  • Curriculum Lesson
    Student Researching Books

    Geometry Module 5, Topic D, Lesson 18

    Jan 26, 2016 - Student Outcomes Students complete the square in order to write the equation of a circle in center-radius form. Students recognize when a quadratic in x and y is the equation for a circle.
  • Curriculum Lesson
    Student Using Technology

    Geometry Module 5, Topic D, Lesson 17

    Jan 26, 2016 - Student Outcomes Students write the equation for a circle in center-radius form, (x - a)2 (y - b)2 = r2 using the Pythagorean theorem or the distance formula. Students write the equation of a circle...
  • 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 Lesson
    High School Students Studying for Class

    Geometry Module 5, Topic C, Lesson 16

    Jan 26, 2016 - Student Outcomes Students find “missing lengths” in circle-secant or circle-secant-tangent diagrams.
  • Curriculum Lesson
    High School Students Working Together

    Geometry Module 5, Topic C, Lesson 15

    Jan 26, 2016 - Student Outcomes Students find the measures of angle/arcs and chords in figures that include two secant lines meeting outside a circle, where the measures must be inferred from other data.
  • Curriculum Lesson
    Student Studying

    Geometry Module 5, Topic C, Lesson 14

    Jan 26, 2016 - Student Outcomes Students understand that an angle whose vertex lies in the interior of a circle intersects the circle in two points and that the edges of the angles are contained within two secant...
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