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# High School Algebra Common Core Resources

Here you will find all high school algebra resources to guide and support mathematics teaching and learning.

These resources are organized by mathematical strand and refer to specific Common Core math content standards.

Quick reference: What are these tools?

## Algebra: Seeing Structure in Equations (A-SSE)

• A-SSE.3

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. Factor a quadratic expression to reveal the zeros of the function it defines.

Problems of the Month
Performance Assessment Tasks

## Algebra: Creating Equations (A-CED)

• A-CED.1

Create equations and inequalities in one variable and use them to solve problems.

Problems of the Month
• A-CED.2

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

Problems of the Month
Performance Assessment Tasks
• 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.

Problems of the Month
Performance Assessment Tasks
• A-CED.4

Performance Assessment Tasks

## Algebra: Reasoning With Equations and Inequalities (A-REI)

• 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.

Performance Assessment Tasks
• A-REI.2

Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

Performance Assessment Tasks
• A-REI.3

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

Problems of the Month
Performance Assessment Tasks
• A-REI.4

Solve quadratic equations in one variable.

Problems of the Month
Performance Assessment Tasks
• A-REI.6

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

Problems of the Month
Performance Assessment Tasks
• 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).

Problems of the Month
Performance Assessment Tasks
• A-REI.11

Explain why the x-coordinates of points where the graphs of equations y=f(x) and y = g(x) intersect are the solutions of the equation f(x)=g(x); find the solutions approximately, e.g. using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, ration, absolute value, exponential and logarithmic functions.

Performance Assessment Tasks