5.A.CED.2 Create equations in two or more variables CC.A.CED.2 Scatter plot and to represent relationships between CCR.A.CED.E analyze related quantities; graph equations on coordinate student attributes axes with labels and scales. (i.e., examples of exponential and polynomial distributions needed) 5.A.CED.3 Represent constraints by equations or CC.A.CED.3 Representing inequalities, and by systems of equations CCR.A.CED.E inequalities and/or inequalities, and interpret solutions describing nutritional as viable or nonviable options in a and cost constraints modeling context. on combinations of different 5.A.CED.4 Rearrange formulas to highlight a quantity CC.A.CED.4 Rearranging Ohm’s of interest, using the same reasoning as CCR.A.CED.E law V = IR to highlight in solving equations. resistance R REASONING WITH EQUATIONS AND INEQUALITIES (REI) Understand solving equations as a process of reasoning and explain the reasoning. 5.A.REI.1 Explain each in solving a simple CC.A.REI.1 equation as following from the equality of CCR.A.REI.E numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. Solve equations and inequalities in one variable. 5.A.REI.2 Solve linear equations and inequalities in CC.A.REI.3 Finding an unknown one variable, including equations with CCR.A.REI.E amount of a check coefficients represented by letters. given current balance 5.A.REI.3 Solve quadratic equations in one variable. CC.A.REI.4 Plot and analyze Use the method of completing the CCR.A.REI.E related student square to transform any quadratic attributes (i.e., equation in into an equation of examples of quadratic x the form that has the same distributions needed) solutions. Derive the quadratic formula from this form. quadratic equations by inspection taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
5.A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. CC.A.CED.2 CCR.A.CED.E Scatter plot and analyze related student attributes (i.e., examples of exponential and polynomial distributions needed) 5.A.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. CC.A.CED.3 CCR.A.CED.E Representing inequalities describing nutritional and cost constraints on combinations of different 5.A.CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. CC.A.CED.4 CCR.A.CED.E Rearranging Ohm’s law V = IR to highlight resistance R REASONING WITH EQUATIONS AND INEQUALITIES (REI) Understand solving equations as a process of reasoning and explain the reasoning. 5.A.REI.1 Explain each in solving a simple 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 a solution method. CC.A.REI.1 CCR.A.REI.E Solve equations and inequalities in one variable. 5.A.REI.2 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. CC.A.REI.3 CCR.A.REI.E Finding an unknown amount of a check given current balance 5.A.REI.3 Solve quadratic equations in one variable. Use the method of completing the square to transform any quadratic equation in x into an equation of the form that has the same solutions. Derive the quadratic formula from this form. quadratic equations by inspection taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b. CC.A.REI.4 CCR.A.REI.E Plot and analyze related student attributes (i.e., examples of quadratic distributions needed)