IXL - Arkansas algebra standards

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Skills available for Arkansas algebra standards

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Standards document:

2010 Common Core State Standards 2010 Common Core State Standards
2006 Arkansas Curriculum Framework: Algebra A 2006 Arkansas Curriculum Framework: Algebra A
2006 Arkansas Curriculum Framework: Algebra B 2006 Arkansas Curriculum Framework: Algebra B
2006 Arkansas Curriculum Framework: Algebra I 2006 Arkansas Curriculum Framework: Algebra I

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1 Language of Algebra

AI.LA.1.AI.1 Evaluate algebraic expressions, including radicals, by applying the order of operations
AI.LA.1.AI.2 Translate word phrases and sentences into expressions, equations, and inequalities, and vice versa
AI.LA.1.AI.3 Apply the laws of (integral) exponents and roots.
AI.LA.1.AI.4 Solve problems involving scientific notation, including multiplication and division.
AI.LA.1.AI.5 Perform polynomial operations (addition, subtraction, multiplication) with and without manipulatives
AI.LA.1.AI.6 Simplify algebraic fractions by factoring
- Rational functions and expressions: Simplify rational expressions (Algebra - GG.3)
- Rational functions and expressions: Divide polynomials (Algebra - GG.5)
AI.LA.1.AI.7 Recognize when an expression is undefined
AI.LA.1.AI.8 Simplify radical expressions such as 3/(square root of 7)
AI.LA.1.AI.9 Add, subtract, and multiply simple radical expressions like 3(square root of 20) + 7(square root of 5) and 4(square root of 5) * 2(square root of 3)
- Radical expressions: Multiply radical expressions (Algebra - EE.3)
- Radical expressions: Add and subtract radical expressions (Algebra - EE.4)

2 Solving Equations and Inequalities

AI.SEI.2.AI.1 Solve multi-step equations and inequalities with rational coefficients
AI.SEI.2.AI.1.a numerically (from a table or guess and check)
AI.SEI.2.AI.1.b algebraically (including the use of manipulatives)
AI.SEI.2.AI.1.c graphically
AI.SEI.2.AI.1.d technologically
AI.SEI.2.AI.2 Solve systems of two linear equations
AI.SEI.2.AI.2.a numerically (from a table or guess and check)
AI.SEI.2.AI.2.b algebraically (including the use of manipulatives)
AI.SEI.2.AI.2.c graphically
- Systems of linear equations: Solve a system of equations by graphing (Algebra - U.2)
AI.SEI.2.AI.2.d technologically
AI.SEI.2.AI.3 Solve linear formulas and literal equations for a specified variable
- Problem solving: Rate of travel: word problems (Algebra - O.4)
AI.SEI.2.AI.4 Solve and graph simple absolute value equations and inequalities
AI.SEI.2.AI.5 Solve real world problems that involve a combination of rates, proportions and percents
AI.SEI.2.AI.6 Solve problems involving direct variation and indirect (inverse) variation to model rates of change
AI.SEI.2.AI.7 Use coordinate geometry to represent and/or solve problems (midpoint, length of a line segment, and Pythagorean Theorem)
AI.SEI.2.AI.8 Communicate real world problems graphically, algebraically, numerically and verbally

3 Linear Functions

AI.LF.3.AI.1 Distinguish between functions and non-functions/relations by inspecting graphs, ordered pairs, mapping diagrams and/or tables of data
- Relations and functions: Identify functions (Algebra - Q.4)
- Relations and functions: Identify functions: vertical line test (Algebra - Q.5)
AI.LF.3.AI.2 Determine domain and range of a relation from an algebraic expression, graphs, set of ordered pairs, or table of data
AI.LF.3.AI.3 Know and/or use function notation, including evaluating functions for given values in their domain
AI.LF.3.AI.4 Identify independent variables and dependent variables in various representational modes: words, symbols, and/or graphs
- Relations and functions: Identify independent and dependent variables (Algebra - Q.3)
AI.LF.3.AI.5 Interpret the rate of change/slope and intercepts within the context of everyday life
AI.LF.3.AI.6 Calculate the slope given
AI.LF.3.AI.6.a two points
- Linear functions: Find slope from two points (Algebra - S.3)
AI.LF.3.AI.6.b the graph of a line
- Linear functions: Find the slope of a graph (Algebra - S.2)
AI.LF.3.AI.6.c the equation of a line
- Linear functions: Slope-intercept form: find slope and y-intercept (Algebra - S.4)
- Linear functions: Slope-intercept form: write an equation from a graph (Algebra - S.6)
AI.LF.3.AI.7 Determine by using slope whether a pair of lines are parallel, perpendicular, or neither
- Linear functions: Slopes of parallel and perpendicular lines (Algebra - S.17)
- Linear functions: Write an equation for a parallel or perpendicular line (Algebra - S.18)
AI.LF.3.AI.8 Write an equation in slope-intercept, point-slope, and standard forms given
AI.LF.3.AI.8.a two points
- Functions: linear, quadratic, exponential: Write linear, quadratic, and exponential functions (Algebra - CC.3)
AI.LF.3.AI.8.b a point and y-intercept
AI.LF.3.AI.8.c x-intercept and y-intercept
AI.LF.3.AI.8.d a point and slope
- Linear functions: Slope-intercept form: write an equation (Algebra - S.7)
- Linear functions: Point-slope form: write an equation (Algebra - S.16)
AI.LF.3.AI.8.e a table of data
- Relations and functions: Write a rule for a function table (Algebra - Q.12)
AI.LF.3.AI.8.f the graph of a line
- Linear functions: Point-slope form: write an equation from a graph (Algebra - S.15)
AI.LF.3.AI.9 Describe the effects of parameter changes, slope and/or y-intercept, on graphs of linear functions and vice versa

4 Non-linear Functions

AI.NLF.4.AI.1 Factoring polynomials
AI.NLF.4.AI.1.a greatest common factor
- Factoring: GCF of monomials (Algebra - AA.1)
- Factoring: Factor out a monomial (Algebra - AA.2)
AI.NLF.4.AI.1.b binomials (difference of squares)
- Factoring: Factor out a monomial (Algebra - AA.2)
AI.NLF.4.AI.1.c trinomials
AI.NLF.4.AI.2 Determine minimum, maximum, vertex, and zeros, given the graph
- Quadratic equations: Characteristics of quadratic functions (Algebra - BB.1)
AI.NLF.4.AI.3 Solve quadratic equations using the appropriate methods with and without technology
AI.NLF.4.AI.3.a factoring
- Quadratic equations: Solve a quadratic equation by factoring (Algebra - BB.4)
AI.NLF.4.AI.3.b quadratic formula with real number solutions
- Quadratic equations: Solve a quadratic equation using the quadratic formula (Algebra - BB.7)
AI.NLF.4.AI.4 Recognize function families and their connections including vertical shift and reflection over the x-axis
AI.NLF.4.AI.4.a quadratics (with rational coefficients)
AI.NLF.4.AI.4.b absolute value
- Absolute value functions: Complete a function table: absolute value functions (Algebra - DD.1)
- Absolute value functions: Domain and range of absolute value functions (Algebra - DD.2)
AI.NLF.4.AI.4.c exponential functions
AI.NLF.4.AI.5 Communicate real world problems graphically, algebraically, numerically and verbally
- Exponential functions: Exponential growth and decay: word problems (Algebra - X.3)

5 Data Interpretation and Probability

AI.DIP.5.AI.1 Construct and use scatter plots and line of best fit to make inferences in real life situations
- Charts and graphs: Interpret a scatter plot (Algebra - N.6)
- Charts and graphs: Scatter plots: line of best fit (Algebra - N.7)
AI.DIP.5.AI.2 Use simple matrices in addition, subtraction, and scalar multiplication
AI.DIP.5.A1.3 Construct simple matrices for real life situations
- Systems of linear equations: Solve a system of equations using augmented matrices: word problems (Algebra - U.13)
AI.DIP.5.AI.4 Determine the effects of changes in the data set on the measures of central tendency
- Statistics: Mean, median, mode, and range (Algebra - JJ.1)
AI.DIP.5.AI.5 Use two or more graphs (i.e., box-and- whisker, histograms, scatter plots) to compare data sets
AI.DIP.5.AI.6 Construct and interpret a cumulative frequency histogram in real life situations
AI.DIP.5.AI.7 Recognize linear functions and non-linear functions by using a table or a graph
AI.DIP.5.AI.8 Compute simple probability with and without replacement
- Probability: Theoretical probability (Algebra - II.1)
- Probability: Probability of independent and dependent events (Algebra - II.5)
AI.DIP.5.AI.9 Recognize patterns using explicitly defined and recursively defined linear functions
AI.DIP.5.AI.10 Communicate real world problems graphically, algebraically, numerically and verbally
AI.DIP.5.AI.11 Explain how sampling methods, bias, and phrasing of questions in data collection impact the conclusions
- Statistics: Identifying biased samples (Algebra - JJ.3)
AI.DIP.5.AI.12 Recognize when arguments based on data confuse correlation with causation