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Common Core: Standard
Common Core: ELA
Common Core: Math
15 Results

 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 apply their knowledge to understand that multiplication by the reciprocal provides the inverse geometric operation to a rotation and dilation. Students understand the...

 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...

 Student Outcomes Students determine the modulus and conjugate of a complex number. Students use the concept of conjugate to divide complex numbers.

 Student Outcomes Students determine the multiplicative inverse of a complex number. Students determine the conjugate of a complex number.

 Student Outcomes Students represent complex numbers as vectors. Students represent complex number addition and subtraction geometrically using vectors.

 Student Outcomes Students describe complex numbers and represent them as points in the complex plane. Students perform arithmetic with complex numbers, including addition, subtraction, scalar...

 Which Real Number Functions Define a Linear Transformation? Students develop facility with the properties that characterize linear transformations. Students learn that a mapping L:ℝ→ℝ is a linear...

 Student Outcomes Students learn when ideal linearity properties do and do not hold for classes of functions studied in previous years. Students develop familiarity with linearity conditions.

 Student Outcomes Students learn when ideal linearity properties do and do not hold for classes of functions studied in previous years. Students develop familiarity with linearity conditions.

 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...

 Student Outcomes Students define a complex number in the form a + bi, where a and b are real numbers and the imaginary unit i satisfies i 2 = −1. Students geometrically identify i as a multiplicand...

 Students extend their facility with solving polynomial equations to working with complex zeros. Complex numbers are introduced via their relationship with geometric transformations. The topic...

 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...

 Algebra II Module 1: Polynomial, Rational, and Radical Relationships Students connect polynomial arithmetic to computations with whole numbers and integers. Students learn that the arithmetic of...