A.CED.1 Create equations and inequalities in one variable and use them to solve problems. (Include equations arising from linear and Make sense of quadratic functions, and simple rational and exponential functions.) problems and persevere in Note: to linear and exponential relationships, and, in the case of solving them. exponential equations, limit to situations requiring evaluation of exponential functions at integer inputs. Reason abstractly Essential Skills and Knowledge and Ability to distinguish between linear and exponential quantitatively. relationships multiple representations and then create the appropriate equation/inequality using given information Construct viable arguments and A.CED.2 Create equations in two or more variables to represent critique the relationships between quantities; equations on coordinate axes reasoning of with labels and scales. others. Note: Limit to linear and exponential equations, and, in the case of exponential equations, limit to situations requiring evaluation of Model with Create exponential functions at integer inputs. mathematics. equations that describe Essential Skills and Knowledge numbers Use appropriate Ability to distinguish between linear and exponential or relationships. relationships given multiple representations tools Ability to determine unknown parameters needed to create strategically. an equation that accurately models a given situation Attend to A.CED.3 Represent constraints by equations or inequalities, and by precision. systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, Look for and make represent inequalities describing nutritional and cost constraints on use of structure. combinations of different foods. (SC Algebra I) – Note: Limit to linear equations and inequalities. Look for and express Essential Skills and Knowledge regularity in Ability to distinguish between a mathematical solution and a repeated contextual solution reasoning. A.CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R. Note: to formulas which are linear in the variable of interest. Essential Skills and Knowledge Ability to recognize/create equivalent forms of literal equations
Create equations that describe numbers or relationships. A.CED.1 Create equations and inequalities in one variable and use them to solve problems. (Include equations arising from linear and quadratic functions, and simple rational and exponential functions.) Note: to linear and exponential relationships, and, in the case of exponential equations, limit to situations requiring evaluation of exponential functions at integer inputs. Essential Skills and Knowledge Ability to distinguish between linear and exponential relationships multiple representations and then create the appropriate equation/inequality using given information A.CED.2 Create equations in two or more variables to represent relationships between quantities; equations on coordinate axes with labels and scales. Note: Limit to linear and exponential equations, and, in the case of exponential equations, limit to situations requiring evaluation of exponential functions at integer inputs. Essential Skills and Knowledge Ability to distinguish between linear and exponential relationships given multiple representations Ability to determine unknown parameters needed to create an equation that accurately models a given situation A.CED.3 Represent constraints by equations or inequalities, and by systems of 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. (SC – Algebra I) Note: Limit to linear equations and inequalities. Essential Skills and Knowledge Ability to distinguish between a mathematical solution and a contextual solution A.CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R. Note: to formulas which are linear in the variable of interest. Essential Skills and Knowledge Ability to recognize/create equivalent forms of literal equations Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning.
Algebra_I_Framework.docx