High Emphasis 

Algebra: Arithmetic with Polynomials and Rational Expressions 

• A-APR.1 - Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials. 
• A-APR.3 - Identify zeroes of polynomials when suitable factorizations are available, and use the zeroes to construct a rough graph of the function defined by the polynomial. 

Algebra: Reasoning with Equations and Inequalities 

• A-REI.1 - Explain each step 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. 
• A-REI.3 - Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. 
• A-REI.4 - Solve quadratic equations in one variable. 
• A-REI.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). 
• A-REI.12 - Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes. 

Algebra: Creating Equations 

• 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. 
• A-CED.2 – Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.  
• 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. 
• 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. 

Algebra: Seeing Structure in Expressions 

• A-SSE.1 - Interpret expressions that represent a quantity in terms of its context. 
• A-SSE.3 - Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.