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2851 Results

 Student Outcomes Students understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed. Students use...

 Student Outcomes Students graph the sine, cosine, and tangent functions and analyze characteristics of their graphs.

 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...

 Student Outcomes Students apply the law of sines or the law of cosines to determine missing measurements in realworld situations that can be modeled using nonright triangles, including situations...

 Student Outcomes Students prove the law of cosines and use it to solve problems.

 Student Outcomes Students prove the law of sines and use it to solve problems.

 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.

 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. ...

 Student Outcomes Students model waveforms using sinusoidal functions and understand how standing waves relate to the sounds generated by musical instruments. Students use trigonometric identities to...

 Student Outcomes Students construct a tangent line from a point outside a given circle to the circle.

 Student Outcomes Students use the addition formulas to derive the doubleangle formulas for sine, cosine, and tangent and evaluate trigonometric expressions for specific values of θ. Students use the...

 Student Outcomes Students prove the subtraction formula for cosine and use their understanding of the properties of the trigonometric functions to derive the remaining addition and subtraction...

 Student Outcomes Students explore the symmetry and periodicity of trigonometric functions. Students derive relationships between trigonometric functions using their understanding of the unit circle.

 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,...

 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 & Instruction: Planning and Implementing Scaffolds in Mathematics to Support Struggling Students Including Students with Disabilities Presenters: Kathleen R. Scholand, Mattituck...

 School leaders and educators from the Greece Central School District and Huntington Union Free School District reflect on the ways in which they are using comprehensive talent management systems and...

 Student Outcomes Students solve quadratic equations with complex solutions. Students understand the geometric origins of the imaginary unit i in terms of 90degree rotations. Students use this...

 Student Outcomes Students understand the inverse relationship between logarithms and exponents and apply their understanding to solve realworld problems.

 Student Outcomes In order to demonstrate understanding of the inverse relationship between exponents and logarithms, students construct the inverse of exponential and logarithmic functions from a...

 Student Outcomes Students continue to read the inverse values of a function from a table and graph. They create the inverse of a function by solving an equation of the form f(x) = y. Students verify...

 Student Outcomes Students read the inverse values of a function from a table and graph. They create the inverse of a function by solving an equation of the form f(x) = y. They understand the...

 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. ...

 Student Outcomes Students write equations that represent functional relationships and use the equations to compose functions. Students analyze the domains and ranges of functions and function...