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Mathematics > Course Model Mathematics I (Integrated Pathway) > Creating Equations
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Mathematics | Course : Model Mathematics I (Integrated Pathway)

Domain - Creating Equations

Cluster - Create equations that describe numbers or relationships.

[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 .

Resources:

Predecessor Standards:

  • 8.EE.C.7
    Solve linear equations in one variable.
  • 8.EE.C.7.a
    Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).
  • 8.EE.C.7.b
    Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
  • 8.EE.C.8
    Analyze and solve pairs of simultaneous linear equations.
  • 8.EE.C.8.a
    Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
  • 8.EE.C.8.b
    Solve systems of two linear equations in two variables algebraically (using substitution and elimination strategies), and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
  • 8.EE.C.8.c
    Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • 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-REI.A.1
    Explain each step in solving a simple linear equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify or refute a solution method.
  • MI.A-REI.B.3
    Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
  • MI.A-REI.B.3.a
    Solve linear equations and inequalities in one variable involving absolute value.
  • HS.CHEM.2.8
    Use kinetic molecular theory to compare the strengths of electrostatic forces and the prevalence of interactions that occur between molecules in solids, liquids, and gases. Use the combined gas law to determine changes in pressure, volume, and temperature in gases.