Learners will look for, generate, and make sense of patterns, relationships, and algebraic symbols to represent mathematical models while adopting approaches and solutions in novel situations.

MAT-12.AR.01 Rearrange multi-variable formulas to highlight a quantity of interest.

MAT-00.AR.OA.03 Decompose numbers less than or equal to 10 into pairs in more than one way using verbal explanations, objects, or drawings.

MAT-01.AR.OA.03 Decompose numbers less than or equal to 20 in more than one way.

MAT-09.AR.01 Use the structure of an expression (i.e., quadratic and exponential) to identify ways to rewrite it.

MAT-09.AR.F.06 Write a function defined by an expression in different but equivalent forms to reveal and explain the different properties of the function.

MAT-09.AR.F.11 Interpret the parameters in a linear, quadratic, or exponential function in context.

MAT-12.AR.01 Use the structure of an expression (to extend to polynomial and rational expressions) to identify ways to rewrite it.

MAT-12.AR.03 Interpret expressions that represent a quantity in context.

MAT-12.AR.06 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, division, or technology for the more complicated examples.

MAT-12.AR.F.03 Write a function defined by an expression in different but equivalent forms to reveal and explain the different properties of the function.

MAT-12.AR.20 Apply the Binomial Theorem for the expansion of (ax + by)n in powers of x and y for a positive integer n and integers a and b