Mathematics | Course : Model Mathematics I (Integrated Pathway)
Domain - Creating Equations
Cluster - Create equations that describe numbers or relationships.
[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.*
- Variable
A quantity that can change or that may take on different values. Refers to the letter or symbol representing such a quantity in an expression, equation, inequality, or matrix.
[MI.N-Q.A.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.*
[MI.N-Q.A.2] -
Define appropriate quantities for the purpose of descriptive modeling.*
[MI.A-SSE.A.1] -
Interpret expressions that represent a quantity in terms of its context.*
[MI.A-SSE.A.1.a] -
Interpret parts of an expression, such as terms, factors, and coefficients.
[MI.A-SSE.A.1.b] -
Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1 + r)n as the product of P and a factor not depending on P.
[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.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-REI.D.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). Show that any point on the graph of an equation in two variables is a solution to the equation.