Mathematics | Course : Model Mathematics I (Integrated Pathway)
Domain - Seeing Structure in Expressions
Cluster - Interpret the structure of linear and exponential expressions with integer exponents.
[MI.A-SSE.A.1] - Interpret expressions that represent a quantity in terms of its context.*
- Expression
A mathematical phrase that combines operations, numbers, and/or variables (e.g., 32 ÷ a).
[MI.A-CED.A.1] -
Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and exponential functions with integer exponents.*
[MI.A-CED.A.2] -
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.*
[MI.A-CED.A.3] -
Represent constraints by linear equations or inequalities, and by systems of linear 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.
[MI.A-CED.A.4] -
Rearrange formulas to highlight a quantity of interest, using the same reasoning (Properties of equality) as in solving equations.* For example, rearrange Ohm’s law, V = IR, to solve for resistance, R. Manipulate variables in formulas used in financial contexts such as for simple interest, I=Prt .
[MI.F-BF.B.3] -
Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Include linear and exponential models. (Focus on vertical translations for exponential functions). Utilize technology to experiment with cases and illustrate an explanation of the effects on the graph.
[MI.F-LE.B.5] -
Interpret the parameters in a linear function or exponential function (of the form f(x) = bx + k) in terms of a context.*