MAT-12 Standards
Completion requirements
ALL
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MAT-12.NO.04
MAT-12.NO.04 Use units to understand problems and to guide the solution of multi-step problems (e.g., unit analysis). Choose and interpret units consistently in formulas. Choose and interpret the scale and the units in graphs and data displays.Progressions
Multiplication and Division
Adding and Subtracting Fractions
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MAT-12.NO.05
MAT-12.NO.05 Choose a level of accuracy or precision appropriate to limitations on measurement when reporting quantities.Progressions
Unit Size and Scale
Units of Measurement
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MAT-12.NO.06
MAT-12.NO.06 Know there is a complex number i such that i² = -1, and every complex number has the form a + bi with a and b real. Understand the hierarchal relationships among subsets of the complex number system.Progressions
Adding and Subtracting Fractions
Multiplying and Dividing Fractions
Complex Numbers
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MAT-12.NO.07
MAT-12.NO.07 Use the definition i² = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.Progressions
Complex Numbers
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MAT-12.NO.08
MAT-12.NO.08 Use conjugates to find quotients of complex numbers.Progressions
Complex Numbers
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MAT-12.NO.09
MAT-12.NO.09 Apply the Fundamental Theorem of Algebra to determine the number of zeros for polynomial functions. Find all solutions to a polynomial equation.Progressions
Complex Numbers
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MAT-12.NO.10
MAT-12.NO.10 Represent complex numbers on the complex plane in rectangular, trigonometric, and polar forms. Find the modulus (absolute value) of a complex number. Explain why the rectangular, trigonometric, and polar forms of a given complex number represent the same number.Progressions
Complex Numbers
Coordinate Plane
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MAT-12.NO.11
MAT-12.NO.11 Represent addition, subtraction, multiplication, conjugation, powers, and roots of complex numbers geometrically on the complex and/or polar plane; use properties of this representation for computation.Progressions
Addition and Subtraction
Multiplication and Division
Complex Numbers
Coordinate Plane
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MAT-12.NO.12
MAT-12.NO.12 Extend polynomial identities to the complex numbers.Progressions
Complex Numbers
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MAT-12.NO.13
MAT-12.NO.13 Apply the Fundamental Theorem of Algebra to find all roots of a polynomial equation and determine the nature (i.e., integer, rational, irrational, real, complex) of the roots.Progressions
Complex Numbers
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MAT-12.NO.14
MAT-12.NO.14 Recognize vector quantities as having both magnitude and direction, writing them in polar form.Progressions
Coordinate Plane
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MAT-12.NO.15
MAT-12.NO.15 Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.Progressions
Coordinate Plane
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MAT-12.NO.16
MAT-12.NO.16 Solve problems involving magnitude and direction that can be represented by vectors.Progressions
Coordinate Plane
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MAT-12.NO.17
MAT-12.NO.17 Add and subtract vectors.
Progressions
Addition and Subtraction
Coordinate Plane
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MAT-12.NO.18
MAT-12.NO.18 Multiply a vector by a scalar.
Progressions
Coordinate Plane
Transformations
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MAT-12.NO.19
MAT-12.NO.19 Represent data in a matrix. Perform operations (i.e., addition, subtraction, multiplication) on matrices of appropriate dimensions to solve problems and in context. Know that matrix multiplication is not commutative.Progressions
Addition and Subtraction
Multiplication and Division
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