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YELLOW REPRESENTS SEMESTER 1 GREEN REPRESENTS SEMESTER 2 BLUE REPRESENTS BOTH RED REPRESENTS ? Number Quantity The Complex Number System Perform arithmetic operations with complex numbers.
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CCSS.Math.Content.HSN-CN.A.3 (+) Find the conjugate of a complex number.
Lesson(s):4-2,9-5,9-6,9-7
Represent complex numbers and their operations on the complex plane.
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CCSS.Math.Content.HSN-CN.B.4 (+) Represent complex numbers on the complex plane in
rectangular and polar form. Lesson(s): 9-6,9-7
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CCSS.Math.Content.HSN-CN.B.5 (+) Represent addition, subtraction, multiplication, and
conjugation of complex numbers geometrically on the complex plane. Lesson(s):9-5,9-6,9-7
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CCSS.Math.Content.HSN-CN.B.6 (+) Calculate the distance between numbers in the complex
plane. Lesson(s):9-1,9-2,9-3,9-4,9-5,9-6,9-7
Vector and Matrix Quantities Represent and model with vector quantities.
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CCSS.Math.Content.HSN-VM.A.1 (+) Recognize vector quantities as having both magnitude
and direction with appropriate symbols. Lesson(s):8-1
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CCSS.Math.Content.HSN-VM.A.2 (+) Find the components of a vector by subtracting the
coordinates of an initial point from the coordinates of a terminal point. Lesson(s):8-2
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CCSS.Math.Content.HSN-VM.A.3 (+) Solve problems involving velocity and other quantities
that can be represented by vectors. Lesson(s):8-2,8-5
Perform operations on vectors.
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CCSS.Math.Content.HSN-VM.B.4 (+) Add and subtract vectors. Lesson(s):8-2
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CCSS.Math.Content.HSN-VM.B.4a Add vectors end-to-end, component-wise, and by the
parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the
sum of the magnitudes. Lesson(s):8-1,8-2
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CCSS.Math.Content.HSN-VM.B.4b Given two vectors in magnitude and direction form,
determine the magnitude and direction of their sum. Lesson(s):8-2
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CCSS.Math.Content.HSN-VM.B.4c Understand vector subtraction v – w as v + (–w), where –
w is the additive inverse of w, with the same magnitude as w and pointing in the opposite
direction. Lesson(s):8-2
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CCSS.Math.Content.HSN-VM.B.5 (+) Multiply a vector by a scalar. Lesson(s):8-2
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CCSS.Math.Content.HSN-VM.B.5a Represent scalar multiplication graphically by scaling
vectors and possibly reversing their direction. Lesson(s):8-2
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CCSS.Math.Content.HSN-VM.B.5b Compute the magnitude of a scalar multiple cv using ||cv||
= |c|v. Compute the direction of cv knowing that when |c|v ≠ 0. Lesson(s):8-2
Perform operations on matrices and use matrices in applications.
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CCSS.Math.Content.HSN-VM.C.6 (+) Use matrices to represent and manipulate data.
Lesson(s):2-3
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CCSS.Math.Content.HSN-VM.C.7 (+) Multiply matrices by scalars to produce new matrices.
Lesson(s):2-3,2-4
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CCSS.Math.Content.HSN-VM.C.8 (+) Add, subtract, and multiply matrices. Lesson(s):2-3,2-4
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CCSS.Math.Content.HSN-VM.C.9 (+) Understand that, unlike multiplication of numbers, matrix
multiplication for square matrices is not a commutative operation, but still satisfies the
associative and distributive properties. Lesson(s):2-3,2-4,2-5
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CCSS.Math.Content.HSN-VM.C.10 (+) Understand that the zero and identity matrices play a
role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers.
Lesson(s):2-3,2-4,2-5
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CCSS.Math.Content.HSN-VM.C.11 (+) Multiply a vector (regarded as a matrix with one
column) by a matrix of suitable dimensions to produce another vector. Work with matrices as
transformations of vectors. Lesson(s):2-3,2-4,2-5
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CCSS.Math.Content.HSN-VM.C.12 (+) Work with 2 × 2 matrices as a transformations of the
plane, and interpret the absolute value of the determinant in terms of area. Lesson(s):2-4
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Algebra Reasoning with Equations and Inequalities Solve systems of equations.
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CCSS.Math.Content.HSA-REI.C.8 (+) Represent a system of linear equations as a single
matrix equation in a vector variable. Lesson(s):2-5
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CCSS.Math.Content.HSA-REI.C.9 (+) Find the inverse of a matrix if it exists and use it to solve
systems of linear equations (using technology for matrices of dimension 3 × 3 or greater).
Lesson(s):2-4,2•
Interpreting Functions
Analyze functions using different representations.
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CCSS.Math.Content.HSF-IF.C.7d (+) Graph rational functions, identifying zeros and
asymptotes when suitable factorizations are available, and showing end behavior.
Lesson(s):1-1,1-2,3-2,3-4,3-5,3-6,6-5
Building Functions Build a function that models a relationship between two quantities.
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CCSS.Math.Content.HSF-BF.A.1c (+) Compose functions. Lesson(s):1-2,6-4
Build new functions from existing functions.
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CCSS.Math.Content.HSF-BF.B.4b (+) Verify by composition that one function is the inverse of
another. Lesson(s):3-4
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CCSS.Math.Content.HSF-BF.B.4c (+) Read values of an inverse function from a graph or a
table, given that the function has an inverse. Lesson(s):3-4
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CCSS.Math.Content.HSF-BF.B.4d (+) Produce an invertible function from a non-invertible
function by restricting the domain. Lesson(s):3-4
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CCSS.Math.Content.HSF-BF.B.5 (+) Understand the inverse relationship between exponents
and logarithms and use this relationship to solve problems involving logarithms and exponents.
Lesson(s):3-4
Trigonometric Functions Extend the domain of trigonometric functions using the unit circle.
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CCSS.Math.Content.HSF-TF.A.1 Understand radian measure of an angle as the length of the
arc on the unit circle subtended by the angle. Lesson(s):5-1
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CCSS.Math.Content.HSF-TF.A.2 Explain how the unit circle in the coordinate plane enables
the extension of trigonometric functions to all real numbers. Lesson(s):5-2
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CCSS.Math.Content.HSF-TF.A.3 (+) Use special triangles to determine geometrically the
values of sine, cosine, tangent. Lesson(s):6-1
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CCSS.Math.Content.HSF-TF.A.4 (+) Use the unit circle to explain symmetry (odd and even)
and periodicity of trigonometric functions. Lesson(s):6-2
Model periodic phenomena with trigonometric functions.
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CCSS.Math.Content.HSF-TF.B.5 Choose trigonometric functions to model periodic
phenomena with specified amplitude, frequency, and midline.★ Lesson(s):6-4,6-5
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CCSS.Math.Content.HSF-TF.B.6 (+) Understand that restricting a trigonometric function to a
domain on which it is always increasing or always decreasing allows its inverse to be
constructed. Lesson(s):6-4,6-5
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CCSS.Math.Content.HSF-TF.B.7 (+) Use inverse functions to solve trigonometric equations
that arise in modeling contexts; evaluate the solutions using technology, and interpret them in
terms of the context.★ Lesson(s):6-8
Prove and apply trigonometric identities.
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CCSS.Math.Content.HSF-TF.C.8 Prove the Pythagorean identity sin2(θ) + cos2(θ) = 1 and use
it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.
Lesson(s):7-1
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CCSS.Math.Content.HSF-TF.C.9 (+) Prove the addition and subtraction formulas for sine,
cosine, and tangent and use them to solve problems. Lesson(s):7-1
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Geometry Expressing Geometric Properties with Equations Translate between the geometric description and the equation for a conic section
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CCSS.Math.Content.HSG-GPE.A.3 (+) Derive the equations of ellipses and hyperbolas given
the foci, using the fact that the sum or difference of distances from the foci is constant.
Lesson(s):10-3,10-4
Similarity, Right Triangles, and Trig Circles Define trigonometric ratios and solve problems involving right triangles
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CCSS.Math.Content.HSG-SRT.C.6 Understand that by similarity, side ratios in right triangles
are properties of the angles in the triangle, leading to definitions of trigonometric ratios for
acute angles. Lesson(s):Chapter 5
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CCSS.Math.Content.HSG-SRT.C.7 Explain and use the relationship between the sine and
cosine of complementary angles. Lesson(s):Chapter 5
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CCSS.Math.Content.HSG-SRT.C.8 Use trigonometric ratios and the Pythagorean Theorem to
solve right triangles in applied problems.★ Lesson(s):Chapter 5
Apply trigonometry to general triangles
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CCSS.Math.Content.HSG-SRT.D.9 (+) Derive the formula A = 1/2 ab sin(C) for the area of a
triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
Lesson(s):Chapter 5
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CCSS.Math.Content.HSG-SRT.D.10 (+) Prove the Laws of Sines and Cosines and use them to
solve problems. Lesson(s):Chapter 5
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CCSS.Math.Content.HSG-SRT.D.11 (+) Understand and apply the Law of Sines and the Law
of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying
problems, resultant forces). Lesson(s):Chapter 5