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Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard New Standard Deleted Standard
GRADE: 912 Domain: NUMBER & QUANTITY: THE REAL NUMBER SYSTEM Cluster 1: Extend the properties of exponents to rational exponents.
Algebra 2 - Major Cluster Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
STANDARD CODE STANDARD MAFS.912.N-RN.1.1 Explain how the definition of the meaning of rational exponents follows from extending
the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define to be the cube root of 5
because we want = to hold, so must equal 5. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.N-RN.1.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents. Cognitive Complexity: Level 1: Recall
Cluster 2: Use properties of rational and irrational numbers.
Algebra 1 - Additional Cluster Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
STANDARD CODE STANDARD MAFS.912.N-RN.2.3 Explain why the sum or product of two rational numbers is rational; that the sum of a
rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
Domain: NUMBER & QUANTITY: QUANTITIES Cluster 1: Reason quantitatively and use units to solve problems.
Algebra 1 - Supporting Cluster Algebra 2 - Supporting Cluster Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard New Standard Deleted Standard
STANDARD CODE STANDARD MAFS.912.N-Q.1.1 Use units as a way to understand problems and to guide the solution of multi-step
problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.N-Q.1.2 Define appropriate quantities for the purpose of descriptive modeling. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.N-Q.1.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
Domain: NUMBER & QUANTITY: THE COMPLEX NUMBER SYSTEM Cluster 1: Perform arithmetic operations with complex numbers.
Algebra 2 - Additional Cluster Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
STANDARD CODE STANDARD MAFS.912.N-CN.1.1 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. Cognitive Complexity: Level 1: Recall
MAFS.912.N-CN.1.2 Use the relation i² = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. Cognitive Complexity: Level 1: Recall
MAFS.912.N-CN.1.3 Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers. Cognitive Complexity: Level 1: Recall
Cluster 2: Represent complex numbers and their operations on the complex plane.
STANDARD CODE STANDARD MAFS.912.N-CN.2.4 Represent complex numbers on the complex plane in rectangular and polar form
(including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.N-CN.2.5 Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation. For example, (–1 + √3 i)³ = 8 because (–1 + √3 i) has modulus 2 and
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard New Standard Deleted Standard
argument 120°. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.N-CN.2.6 Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints. Cognitive Complexity: Level 1: Recall
Cluster 3: Use complex numbers in polynomial identities and equations.
Algebra 2 - Additional Cluster Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
STANDARD CODE STANDARD MAFS.912.N-CN.3.7 Solve quadratic equations with real coefficients that have complex solutions.
Cognitive Complexity: Level 1: Recall
MAFS.912.N-CN.3.8 Extend polynomial identities to the complex numbers. For example, rewrite x² + 4 as (x + 2i)(x – 2i). Cognitive Complexity: Level 1: Recall
MAFS.912.N-CN.3.9 Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials. Cognitive Complexity: Level 1: Recall
Domain: NUMBER & QUANTITY: VECTOR & MATRIX QUANTITIES Cluster 1: Represent and model with vector quantities.
STANDARD CODE STANDARD MAFS.912.N-VM.1.1 Recognize vector quantities as having both magnitude and direction. Represent vector
quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v, |v|, ||v||, v). Cognitive Complexity: Level 1: Recall
MAFS.912.N-VM.1.2 Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point. Cognitive Complexity: Level 1: Recall
MAFS.912.N-VM.1.3 Solve problems involving velocity and other quantities that can be represented by vectors. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
Cluster 2: Perform operations on vectors.
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard New Standard Deleted Standard
STANDARD CODE STANDARD MAFS.912.N-VM.2.4 Add and subtract vectors.
a. 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.
b. Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.
c. 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.
Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.N-VM.2.5 Multiply a vector by a scalar.
a. Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as
c = . b. 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).
Cognitive Complexity: Level 1: Recall
Cluster 3: Perform operations on matrices and use matrices in applications.
STANDARD CODE STANDARD MAFS.912.N-VM.3.10 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. The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.N-VM.3.11 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. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.N-VM.3.12 Work with 2 × 2 matrices as transformations of the plane, and interpret the absolute value of the determinant in terms of area. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.N-VM.3.6 Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in a network. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.N-VM.3.7 Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard New Standard Deleted Standard
a game are doubled. Cognitive Complexity: Level 1: Recall
MAFS.912.N-VM.3.8 Add, subtract, and multiply matrices of appropriate dimensions. Cognitive Complexity: Level 1: Recall
MAFS.912.N-VM.3.9 Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
Domain: ALGEBRA: SEEING STRUCTURE IN EXPRESSIONS Cluster 1: Interpret the structure of expressions
Algebra 1 - Major Cluster Algebra 2 - Major Cluster Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
STANDARD CODE STANDARD MAFS.912.A-SSE.1.1 Interpret expressions that represent a quantity in terms of its context.
a. Interpret parts of an expression, such as terms, factors, and coefficients. b. Interpret complicated expressions by viewing one or more of their parts as a
single entity. For example, interpret as the product of P and a factor not depending on P.
Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.A-SSE.1.2 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). Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
Cluster 2: Write expressions in equivalent forms to solve problems
Algebra 1 - Supporting Cluster Algebra 2 - Major Cluster Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
STANDARD CODE STANDARD MAFS.912.A-SSE.2.3 Choose and produce an equivalent form of an expression to reveal and explain
properties of the quantity represented by the expression.
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard New Standard Deleted Standard
a. Factor a quadratic expression to reveal the zeros of the function it defines. b. Complete the square in a quadratic expression to reveal the maximum or
minimum value of the function it defines. c. Use the properties of exponents to transform expressions for exponential
functions. For example the expression can be rewritten as ≈ to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.A-SSE.2.4 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. Cognitive Complexity: Level 3: Strategic Thinking & Complex Reasoning
Domain: ALGEBRA: ARITHMETIC WITH POLYNOMIALS & RATIONAL EXPRESSIONS Cluster 1: Perform arithmetic operations on polynomials
Algebra 1 - Major Cluster Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
STANDARD CODE STANDARD MAFS.912.A-APR.1.1 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. Cognitive Complexity: Level 1: Recall
Cluster 2: Understand the relationship between zeros and factors of polynomials
Algebra 1 - Supporting Cluster Algebra 2 - Major Cluster Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
STANDARD CODE STANDARD MAFS.912.A-APR.2.2 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). Cognitive Complexity: Level 1: Recall
MAFS.912.A-APR.2.3 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.
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard New Standard Deleted Standard
Cognitive Complexity: Level 1: Recall
Cluster 3: Use polynomial identities to solve problems
Algebra 2 - Additional Cluster Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
STANDARD CODE STANDARD MAFS.912.A-APR.3.4 Prove polynomial identities and use them to describe numerical relationships. For
example, the polynomial identity (x² + y²)² = (x² – y²)² + (2xy)² can be used to generate Pythagorean triples. Cognitive Complexity: Level 1: Recall
MAFS.912.A-APR.3.5 Know and apply the Binomial Theorem for the expansion of (x in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal’s Triangle. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
Cluster 4: Rewrite rational expressions
Algebra 2 - Supporting Cluster Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
STANDARD CODE STANDARD MAFS.912.A-APR.4.6 Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) +
r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.A-APR.4.7 Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
Domain: ALGEBRA: CREATING EQUATIONS Cluster 1: Create equations that describe numbers or relationships
Algebra 1 - Major Cluster Algebra 2 - Supporting Cluster Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard New Standard Deleted Standard
major work of the grade with the supporting clusters.
STANDARD CODE STANDARD MAFS.912.A-CED.1.1 Create equations and inequalities in one variable and use them to solve
problems. Include equations arising from linear and quadratic functions, and simple rational, absolute, and exponential functions.
Cognitive Complexity: Level 2: Basic Application of Skills & Concepts MAFS.912.A-CED.1.2 Create equations in two or more variables to represent relationships between quantities;
graph equations on coordinate axes with labels and scales. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.A-CED.1.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods. Cognitive Complexity: Level 3: Strategic Thinking & Complex Reasoning
MAFS.912.A-CED.1.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R. Cognitive Complexity: Level 1: Recall
Domain: ALGEBRA: REASONING WITH EQUATIONS & INEQUALITIES Cluster 1: Understand solving equations as a process of reasoning and explain the reasoning
Algebra 1 - Major Cluster Algebra 2 - Major Cluster Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
STANDARD CODE STANDARD MAFS.912.A-REI.1.1 Explain each step in solving a simple equation as following from the equality of numbers
asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. Cognitive Complexity: Level 3: Strategic Thinking & Complex Reasoning
MAFS.912.A-REI.1.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. Cognitive Complexity: Level 3: Strategic Thinking & Complex Reasoning
Cluster 2: Solve equations and inequalities in one variable
Algebra 1 - Major Cluster Algebra 2 - Supporting Cluster Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard New Standard Deleted Standard
STANDARD CODE STANDARD MAFS.912.A-REI.2.3 Solve linear equations and inequalities in one variable, including equations with
coefficients represented by letters.
Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.A-REI.2.4 Solve quadratic equations in one variable.
a. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)² = q that has the same solutions. Derive the quadratic formula from this form.
b. Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
Cluster 3: Solve systems of equations
Algebra 1 - Additional Cluster Algebra 2 - Additional Cluster Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
STANDARD CODE STANDARD MAFS.912.A-REI.3.5 Prove that, given a system of two equations in two variables, replacing one equation by
the sum of that equation and a multiple of the other produces a system with the same solutions. Cognitive Complexity: Level 3: Strategic Thinking & Complex Reasoning
MAFS.912.A-REI.3.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. Cognitive Complexity: Level 1: Recall
MAFS.912.A-REI.3.7 Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x² + y² = 3. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.A-REI.3.8 Represent a system of linear equations as a single matrix equation in a vector variable. Cognitive Complexity: Level 1: Recall
MAFS.912.A-REI.3.9 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). Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard New Standard Deleted Standard
Cluster 4: Represent and solve equations and inequalities graphically
Algebra 1 - Major Cluster Algebra 2 - Major Cluster
Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
STANDARD CODE STANDARD MAFS.912.A-REI.4.10 Understand that the graph of an equation in two variables is the set of all its solutions
plotted in the coordinate plane, often forming a curve (which could be a line). Cognitive Complexity: Level 1: Recall
MAFS.912.A-REI.4.11 Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.A-REI.4.12 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
Domain: FUNCTIONS: INTERPRETING FUNCTIONS Cluster 1: Understand the concept of a function and use function notation
Algebra 1 - Major Cluster Algebra 2 - Supporting Cluster Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
STANDARD CODE STANDARD MAFS.912.F-IF.1.1 Understand that a function from one set (called the domain) to another set (called the
range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x). Cognitive Complexity: Level 1: Recall
MAFS.912.F-IF.1.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.F-IF.1.3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥ 1.
Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS)
Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS)
Amended Standard New Standard Deleted Standard
Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
Cluster 2: Interpret functions that arise in applications in terms of the context
Algebra 1 - Major Cluster Algebra 2 - Major Cluster Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
STANDARD CODE STANDARD MAFS.912.F-IF.2.4 For a function that models a relationship between two quantities, interpret key features
of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.F-IF.2.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person- hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
MAFS.912.F-IF.2.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Cognitive Complexity: Level 2: Basic Application of Skills & Concepts
Cluster 3: Analyze functions using different representations
Algebra 1 - Supporting Cluster Algebra 2 - Supporting Cluster Don’t … Sort clusters from Major to Supporting, and then …