# Keystone Algebra I

##### A1.1.1 Operations with Real Numbers and Expressions
• A1.1.1.1.1 Compare and/or order any real numbers. Note: Rational and irrational may be mixed.
• A1.1.1.1.2Simplify square roots.
• A1.1.1.2.1Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
• A1.1.1.3.1Simplify/evaluate expressions involving properties/laws of exponents, roots, and/ or absolute values to solve problems. Note: Exponents should be integers from -10 to 10.
• A1.1.1.4.1 Use estimation to solve problems.
• A1.1.1.5.1 Add, subtract, and/or multiply polynomial expressions (express answers in simplest form). Note: Nothing larger than a binomial multiplied by a trinomial.
• A1.1.1.5.2 Factor algebraic expressions, including difference of squares and trinomials. Note: Trinomials are limited to the form ax^2+bx+c where a is equal to 1 after factoring out all monomial factors.
• A1.1.1.5.3Simplify/reduce a rational algebraic expression.

## A1.1.2 Linear Equations

• A1.1.2.1Write, solve, and/or apply a linear equation (including problem situations).
• A1.1.2.1.2 Use and/or identify an algebraic property to justify any step in an equation solving process. Note: Linear equations only.
• A1.1.2.2.1Write and/or solve a system of linear equations (including problem situations) using graphing, substitution, and/or elimination. Note: Limit systems to two linear equations
• A1.1.2.2.2 Interpret solutions to problems in the context of the problem situation. Note: Limit systems to two linear equations.

## A1.1.3 Linear Inequalities

• A1.1.3.1.1Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).
• A1.1.3.1.2Identify or graph the solution set to a linear inequality on a number line.
• A1.1.3.2.1 Write and/or solve a system of linear inequalities using graphing. Note: Limit systems to two linear inequalities.

## A1.1.2.1 Functions

• A1.2.1.1.1Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.
• A1.2.1.1.2Determine whether a relation is a function, given a set of points or a graph.
• A1.2.1.1.3 Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).
• A1.2.1.2.1 Create, interpret, and/or use the equation, graph, or table of a linear function.
• A1.2.1.2.2 Translate from one representation of a linear function to another (i.e., graph, table, and equation).

## A1.2.2 Coordinate Geometry

• A1.2.2.1.1 Identify, describe, and/or use constant rates of change.
• A1.2.2.1.2 Apply the concept of linear rate of change (slope) to solve problems.
• A1.2.2.1.3Write or identify a linear equation when given the graph of line, two points on the line, or the slope and a point on the line. Linear equation may be in point-slope, standard, and/or slope-intercept form.
• A1.2.2.2.1Draw, identify, find, and/or write an equation for a line of best fit for a scatter plot.
• A1.2.3.1.1Calculate and/or interpret the range, quartiles, and interquartile range of data.
• A1.2.3.2.1 Estimate or calculate to make predictions based on a circle, line, bar graph, measures of central tendency, or other representations.
• A1.2.3.2.2Analyze data, make predictions, and/or answer questions based on displayed data (box-and-whisker plots, stem-and-leaf plots, scatter plots, measures of central tendency, or other representations).
• A1.2.3.3.1Find probabilities for compound events (e.g., find the probability of red and blue, find the probability of red or blue) and represent as a fraction, decimal, or percent.

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