Equations and Inequalities

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Students will create and solve equations and inequalities in one variable.
Use variables to represent an unknown number in a specified set(MGSE.6.EE2,5,6)
Explain each step in solving simple equations and inequalities using the equality properties of numbers(MGSE9-12.A.REI.1)
Construct viable arguments to justify the solutions and methods of solving equations and inequalities(MGSE9-12.A.REI.1)
Represent and find solutions graphically.
Use variables to solve real world and mathematical problems(MGSE6.EE.7,MGSE7.EE.4)
Students will use units as a way to understand problems and guide the solutions of multi-step problems.
Choose and interpret units in formulas(MGSE9-12.N.Q.1)
Choose and interpret graphs and data displays, including the scale and comparisons of data(MGSE3.MD.3, MGSE9-12.N.Q.1)
Graph points in all four quadrants of the coordinate plane(MGSE6.NS.8)
Students will create algebraic models in two variables.
Create an algebraic model from a context using two-variable equations(MGSE6.EE.6, MGSE8.EE.8, MGSE9-12.A.CED.2)
Find approximate solutions using technology to graph, construct tables of values, and find successive approximations(MGSE9-12.A.REI.10,11)
Represent solutions to systems of equations graphically or by using a table of values(MGSE6.EE.5; MGSE7.EE3; MGSE8.EE.8; MGSE9-12.A.CED.2)
Analyze the reasonableness of the solutions of systems of equations within a given context(MGSE6.EE.5,6,MGSE7.EE4)
Students will solve literal equations
Solve for any variable in a multi-variable equation(MGSE6.EE.9,MGSE9-12.A.REI.3)
Rearrange formulas to highlight a particular variable using the same reasoning as in solving equations. For example, solve for the base in A = bh(MGSE9-12.A.CED.4)

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