Midcontinent Research for Education and Learning
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Reference
Common Core Mathematics 912
Cluster
Write expressions in equivalent forms to solve problems
Grade 912
A.SSE.3.
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
A.SSE.3a.
Factor a quadratic expression to reveal the zeros of the function it defines.
A.SSE.3b.
Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
A.SSE.3c.
Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15
^{t}
can be rewritten as (1.15
^{1/12}
)
^{12t}
≈ 1.012
^{12t}
to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
A.SSE.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.