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Reading & Writing Process

Students will use a variety of recursive reading and writing processes.

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Algebra

Seeing Structure in Expressions

9-12.A-SSE.1 - 9-12.A-SSE.2 Interpret the structure of expressions.

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9-12.A-SSE.1

Interpret expressions that represent a quantity in terms of its context

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9-12.A-SSE.2

Use the structure of an expression to identify ways to rewrite it

9-12.A-SSE.3 Write expressions in equivalent forms to solve problems.

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9-12.A-SSE.3

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by
the expression

Arithmetic with Polynomials and Rational Expressions

9-12.A-APR.1 Perform arithmetic operations on polynomials.

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9-12.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

Creating Equations

9-12.A-CED.1 - 9-12.A-CED.4 Create equations that describe numbers or relationships.

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9-12.A-CED.1

Create equations and inequalities in one variable including ones with absolute value and use them to solve problems

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9-12.A-CED.2

Create equations in two or more variables to represent relationships between quantities; graph

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9-12.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

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9-12.A-CED.4

Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations

Reasoning with Equations and Inequalities

9-12.A-REI.1 Understand solving equations as a process of reasoning and explain the reasoning.

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9-12.A-REI.1

Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, start- ing from the assumption that the original equation has a solution

9-12.A-REI.3 - 9-12.A-REI.4 Solve equations and inequalities in one variable.

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9-12.A-REI.3

Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters

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9-12.A-REI.3.1

Solve one-variable equations and inequalities involving absolute value, graphing the solutions and interpreting them in context

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9-12.A-REI.4

Solve quadratic equations in one variable

9-12.A-REI.5 - 9-12.A-REI.7 Solve systems of equations.

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9-12.A-REI.5

Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions

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9-12.A-REI.6

Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables

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9-12.A-REI.7

Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically

9-12.A-REI.10 - 9-12.A-REI.12 Solve systems of equations.

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9-12.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

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9-12.A-REI.11

Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x)

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9-12.A-REI.12

Graph the solutions to a linear inequality in two variables as a half-plane, and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes

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