Mathematics | Course : Model Mathematics III (Integrated Pathway)
Domain - Seeing Structure in Expressions
Cluster - Write expressions in equivalent forms to solve problems.
[MIII.A-SSE.B.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.
[MI.F-LE.A.2] -
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (including reading these from a table).*
[MII.A-SSE.A.2] -
Use the structure of an expression to identify ways to rewrite it. For example, see (x + 2)2 – 9 as a difference of squares that can be factored as ((x + 2) + 3)((x + 2) – 3).
[MII.A-APR.A.1] -
Understand that polynomials form a system analogous to the integers, namely, they are closed under certain operations.
[MIII.A-APR.D.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.