anchor.diff:  A.SSE.1.a,Seeing Structure In Expressions,Interpret The Structure Of Expressions,"Interpret parts of an expression, such as terms, factors, and coefficients."
   A.SSE.1.b,Seeing Structure In Expressions,Interpret The Structure Of Expressions,"Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)n as the product of P and a factor not depending on P."
   A.SSE.2,Seeing Structure In Expressions,Interpret The Structure Of Expressions,"Use the structure of an expression to identify ways to rewrite it. For example, see x4 – y4 as (x2)2 – (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 – y2)(x2 + y2)."
  -A.SSE.3,Seeing Structure In Expressions,Write Expressions In Equivalent Forms To Solve Problems,Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.?
  +A.SSE.3,Seeing Structure In Expressions,Write Expressions In Equivalent Forms To Solve Problems,Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.★
   A.SSE.3.a,Seeing Structure In Expressions,Write Expressions In Equivalent Forms To Solve Problems,Factor a quadratic expression to reveal the zeros of the function it defines.
   A.SSE.3.b,Seeing Structure In Expressions,Write Expressions In Equivalent Forms To Solve Problems,Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
  -A.SSE.3.c,Seeing Structure In Expressions,Write Expressions In Equivalent Forms To Solve Problems,Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t ? 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
  -A.SSE.4,Seeing Structure In Expressions,Write Expressions In Equivalent Forms To Solve Problems,"Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.?"
  +A.SSE.3.c,Seeing Structure In Expressions,Write Expressions In Equivalent Forms To Solve Problems,Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
  +A.SSE.4,Seeing Structure In Expressions,Write Expressions In Equivalent Forms To Solve Problems,"Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.★"
   A.APR.1,Arithmetic With Polynomials And Rational Expressions,Perform Arithmetic Operations On Polynomials,"Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials."
   A.APR.2,Arithmetic With Polynomials And Rational Expressions,Understand The Relationship Between Zeros And Factors Of Polynomials,"Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x)."
   A.APR.3,Arithmetic With Polynomials And Rational Expressions,Understand The Relationship Between Zeros And Factors Of Polynomials,"Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial."
  
positive.code: N.VM.4.c,Vector And Matrix Quantities,Perform Operations On Vectors.,"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. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise."
  N.VM.5,Vector And Matrix Quantities,Perform Operations On Vectors.,(+) Multiply a vector by a scalar.
  N.VM.5.a,Vector And Matrix Quantities,Perform Operations On Vectors.,"Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(vx, vy) = (cvx, cvy)."
  N.VM.5.b,Vector And Matrix Quantities,Perform Operations On Vectors.,"Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v. Compute the direction of cv knowing that when |c|v =? 0, the direction of cv is either along v (for c > 0) or against v (for c < 0)."
  N.VM.6,Vector And Matrix Quantities,Perform Operations On Matrices And Use Matrices In Applications.,"(+) Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in a network."
  N.VM.7,Vector And Matrix Quantities,Perform Operations On Matrices And Use Matrices In Applications.,"(+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled."
  N.VM.8,Vector And Matrix Quantities,Perform Operations On Matrices And Use Matrices In Applications.,"(+) Add, subtract, and multiply matrices of appropriate dimensions."
  
negative.code: F.BF.1.a,Building Functions,Build A Function That Models A Relationship Between Two Quantities,"Determine an explicit expression, a recursive process, or steps for calculation from a context."
  F.BF.1.b,Building Functions,Build A Function That Models A Relationship Between Two Quantities,"Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model."
  F.BF.1.c,Building Functions,Build A Function That Models A Relationship Between Two Quantities,"(+) Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time."
  F.BF.2,Building Functions,Build A Function That Models A Relationship Between Two Quantities,"Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.★"
  F.BF.3,Building Functions,Build New Functions From Existing Functions,"Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them."
  F.BF.4,Building Functions,Build New Functions From Existing Functions,Find inverse functions.
  F.BF.4.a,Building Functions,Build New Functions From Existing Functions,"Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2 x3 or f(x) = (x+1)/(x–1) for x ≠ 1."
  F.BF.4.b,Building Functions,Build New Functions From Existing Functions,(+) Verify by composition that one function is the inverse of another.
  F.BF.4.c,Building Functions,Build New Functions From Existing Functions,"(+) Read values of an inverse function from a graph or a table, given that the function has an inverse."
  F.BF.4.d,Building Functions,Build New Functions From Existing Functions,(+) Produce an invertible function from a non-invertible function by restricting the domain.
  F.BF.5,Building Functions,Build New Functions From Existing Functions,(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.
  F.LE.1,"Linear, Quadratic, And Exponential Models★","Construct And Compare Linear, Quadratic, And Exponential Models And Solve Problems",Distinguish between situations that can be modeled with linear functions and with exponential functions.
  F.LE.1.a,"Linear, Quadratic, And Exponential Models★","Construct And Compare Linear, Quadratic, And Exponential Models And Solve Problems","Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals."
  F.LE.1.b,"Linear, Quadratic, And Exponential Models★","Construct And Compare Linear, Quadratic, And Exponential Models And Solve Problems",Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
  F.LE.1.c,"Linear, Quadratic, And Exponential Models★","Construct And Compare Linear, Quadratic, And Exponential Models And Solve Problems",Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
  F.LE.2,"Linear, Quadratic, And Exponential Models★","Construct And Compare Linear, Quadratic, And Exponential Models And Solve Problems","Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table)."
  F.LE.3,"Linear, Quadratic, And Exponential Models★","Construct And Compare Linear, Quadratic, And Exponential Models And Solve Problems","Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function."
  F.LE.4,"Linear, Quadratic, And Exponential Models★","Construct And Compare Linear, Quadratic, And Exponential Models And Solve Problems","For exponential models, express as a logarithm the solution to abct =dwherea,c,anddarenumbersandthebasebis2,10,ore; evaluate the logarithm using technology."
  F.LE.5,"Linear, Quadratic, And Exponential Models★",Interpret Expressions For Functions In Terms Of The Situation They Model,Interpret the parameters in a linear or exponential function in terms of a context.
  F.TF.1,Trigonometric Functions,Extend The Domain Of Trigonometric Functions Using The Unit Circle,Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
  F.TF.2,Trigonometric Functions,Extend The Domain Of Trigonometric Functions Using The Unit Circle,"Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle."
  F.TF.3,Trigonometric Functions,Extend The Domain Of Trigonometric Functions Using The Unit Circle,"(+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π–x, π+x, and 2π–x in terms of their values for x, where x is any real number."
  F.TF.4,Trigonometric Functions,Extend The Domain Of Trigonometric Functions Using The Unit Circle,(+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
  F.TF.5,Trigonometric Functions,Model Periodic Phenomena With Trigonometric Functions,"Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.★"
  F.TF.6,Trigonometric Functions,Model Periodic Phenomena With Trigonometric Functions,(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.
  F.TF.7,Trigonometric Functions,Model Periodic Phenomena With Trigonometric Functions,"(+) 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.★"
  F.TF.8,Trigonometric Functions,Prove And Apply Trigonometric Identities,Prove the Pythagorean identity sin2(θ) + cos2(θ) = 1 and use it to calculate trigonometric ratios.
  F.TF.9,Trigonometric Functions,Prove And Apply Trigonometric Identities,"(+) Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems."
  G.CO.1,Congruence,Experiment With Transformations In The Plane,"Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc."
  G.CO.2,Congruence,Experiment With Transformations In The Plane,"Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch)."
  