Skill plan for the ACT® Aspire - Math Early High School
IXL provides skill alignments with recommended IXL skills for every student. Find the IXL skills that are right for you below!
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Emerging
Number and Quantity
Approximate irrational numbers
Approximate irrational numbers
Algebra
Rewrite linear equations in slope-intercept form
Rewrite linear equations in slope-intercept form
Perform operations on monomials
Perform operations on monomials
Write one-variable equations to represent real-world problems
Write one-variable equations to represent real-world problems
Verify solutions to absolute value inequalities
Verify solutions to absolute value inequalities
Verify solutions to systems of equations
Verify solutions to systems of equations
Rewrite powers of monomials
Rewrite powers of monomials
Find square roots of perfect squares
Find square roots of perfect squares
Find cube roots of perfect cubes
Find cube roots of perfect cubes
Convert between standard and scientific notation
Convert between standard and scientific notation
Use properties to rewrite numerical expressions
Use properties to rewrite numerical expressions
Functions
Identify key features of graphs
Identify key features of graphs
Construct functions using function notation
Construct functions using function notation
Recognize situations that have linear relationships
Recognize situations that have linear relationships
Write linear functions from tables
Write linear functions from tables
Use linear functions to solve problems
Use linear functions to solve problems
Identify positive and negative slopes
Identify positive and negative slopes
Graph linear equations and systems of linear equations
Graph linear equations and systems of linear equations
Identify characteristics of linear equations from graphs
Identify characteristics of linear equations from graphs
Geometry
Use angle-angle similarity to identify similar triangles
Use angle-angle similarity to identify similar triangles
Understand characteristics of circles
Understand characteristics of circles
Find the midpoint of a line segment on the coordinate plane
Find the midpoint of a line segment on the coordinate plane
Recognize equations of circles centered at the origin
Recognize equations of circles centered at the origin
Find the volume of cylinders, cones, pyramids, and spheres
Find the volume of cylinders, cones, pyramids, and spheres
Translate points in the coordinate plane
Translate points in the coordinate plane
Find scale factors
Find scale factors
Recognize that corresponding angles in similar figures are congruent
Recognize that corresponding angles in similar figures are congruent
Recognize translations, reflections, rotations, and dilations
Recognize translations, reflections, rotations, and dilations
Construct arguments using objects, drawings, and diagrams
Construct arguments using objects, drawings, and diagrams
Statistics and Probability
Understand that estimates based on sample data are approximate
Understand that estimates based on sample data are approximate
Use experimental data to informally evaluate differences between population parameters
Use experimental data to informally evaluate differences between population parameters
Identify positive and negative association in scatterplots
Identify positive and negative association in scatterplots
Create stem-and-leaf plots and scatter plots
Create stem-and-leaf plots and scatter plots
Modeling
Write linear equations to model relationships in tables and graphs
Write linear equations to model relationships in tables and graphs
Justification and Explanation
Prepare to write proofs
Prepare to write proofs
Explain procedures
Explain procedures
Provide counterexamples
Provide counterexamples
Use patterns to draw conclusions
Use patterns to draw conclusions
Use conditional statements, models, or computations to draw conclusions
Use conditional statements, models, or computations to draw conclusions
Support claims and draw conclusions
Support claims and draw conclusions
Integrating Essential Skills
Solve problems with decimals, fractions, exponents, and counting techniques
Calculations with decimals and fractions
Proportional reasoning
Exponents
Counting techniques
Solve problems with decimals, fractions, exponents, and counting techniques
Calculations with decimals and fractions
Proportional reasoning
Exponents
Counting techniques
Understand definitions and properties of simple geometric shapes
Two-dimensional shapes
Three-dimensional shapes
Understand definitions and properties of simple geometric shapes
Two-dimensional shapes
Three-dimensional shapes
Apply simple theorems about angles
Apply simple theorems about angles
Explain the concepts of area and volume
Explain the concepts of area and volume
Use different representations of data
Use different representations of data
Find probabilities using uniform probability models
Find probabilities using uniform probability models
Use samples to draw conclusions about populations
Use samples to draw conclusions about populations
Apply quantitative reasoning
Scale drawings
Unit conversions
Apply quantitative reasoning
Scale drawings
Unit conversions
Find measures of central tendency and create histograms
Find measures of central tendency and create histograms
Close
Number and Quantity
Compare and order rational and irrational numbers
Compare and order rational and irrational numbers
Algebra
Interpret the meaning of parameters in real-world problems
Interpret the meaning of parameters in real-world problems
Rewrite rational expressions to use positive exponents
Rewrite rational expressions to use positive exponents
Identify the zeros of factored polynomials
Identify the zeros of factored polynomials
Solve equations using square roots
Solve equations using square roots
Solve equations using cube roots
Solve equations using cube roots
Create quadratic equations to represent a real-world problems
Create quadratic equations to represent a real-world problems
Write quadratic functions from their zeros
Write quadratic functions from their zeros
Verify solutions to compound inequalities
Verify solutions to compound inequalities
Rearrange linear formulas to highlight specific single-variable quantities
Rearrange linear formulas to highlight specific single-variable quantities
Solve and graph single-variable inequalities
Two-step inequalities
Advanced inequalities
Solve and graph single-variable inequalities
Two-step inequalities
Advanced inequalities
Graph two-variable linear inequalities
Graph two-variable linear inequalities
Solve linear equations
Solve linear equations
Graph linear equations
Graph linear equations
Approximate and solve systems of equations by graphing and verify solutions using any method
Approximate and solve systems of equations by graphing and verify solutions using any method
Understand when systems of equations have no solution or infinitely many solutions
Understand when systems of equations have no solution or infinitely many solutions
Strategically rewrite monomials
Strategically rewrite monomials
Functions
Evaluate functions
Evaluate functions
Use function notation and definitions about functions
Identify functions
Use function notation
Use function notation and definitions about functions
Identify functions
Use function notation
Match quadratic functions and graphs
Match quadratic functions and graphs
Find inverses of linear functions
Find inverses of linear functions
Recognize situations that can be represented with exponential models
Recognize situations that can be represented with exponential models
Represent problems using graphs of linear functions
Represent problems using graphs of linear functions
Calculate slope
Calculate slope
Identify zero or undefined slope
Identify zero or undefined slope
Geometry
Use congruence theorems
Use congruence theorems
Identify corresponding parts of similar triangles
Identify corresponding parts of similar triangles
Understand and explain that all circles are similar using dilation and translation
Understand and explain that all circles are similar using dilation and translation
Understand the parameters of equations of circles centered at the origin
Understand the parameters of equations of circles centered at the origin
Use slope to identify parallel and perpendicular lines
Use slope to identify parallel and perpendicular lines
Understand volume of prisms as equal to area of base times height, for any shaped base
Understand volume of prisms as equal to area of base times height, for any shaped base
Rotate points 180° about a center
Rotate points 180° about a center
Reflect figures over the x- or y-axis
Reflect figures over the x- or y-axis
Rotate figures about the origin
Rotate figures about the origin
Find measures of angles formed when parallel lines are cut by a transversal
Find measures of angles formed when parallel lines are cut by a transversal
Construct arguments, state assumptions, and provide counterexamples
Construct arguments, state assumptions, and provide counterexamples
Statistics and Probability
Compare experimental data and predictions
Compare experimental data and predictions
Explain independent events
Explain independent events
Identify independent and dependent variables and related situations
Identify independent and dependent variables and related situations
Relate scatter plots to data sets or descriptions
Relate scatter plots to data sets or descriptions
Estimate lines of best fit
Estimate lines of best fit
Modeling
Model real-world problems using linear equations and interpret graphs of the models
Model real-world problems using linear equations and interpret graphs of the models
Justification and Explanation
Justify conclusions by verifying claims, explaining errors in reasoning, and providing counterexamples
Justify conclusions by verifying claims, explaining errors in reasoning, and providing counterexamples
Use definitions about functions
Use definitions about functions
Integrating Essential Skills
Find probabilities of compound events
Find probabilities of compound events
Convert between measurement units and systems
Convert between measurement units and systems
Apply quantitative reasoning
Apply quantitative reasoning
Ready
Number and Quantity
Simplify radicals
Simplify radicals
Add and subtract radicals
Add and subtract radicals
Multiply and divide radicals
Multiply and divide radicals
Evaluate and rewrite expressions with rational exponents
Evaluate expressions
Rewrite expressions
Evaluate and rewrite expressions with rational exponents
Evaluate expressions
Rewrite expressions
Use units to understand and solve multi-step problems
Use units to understand and solve multi-step problems
Classify square roots as rational or irrational
Classify square roots as rational or irrational
Algebra
Use the structure of expressions to rewrite them
Use the structure of expressions to rewrite them
Interpret parts of expressions
Interpret parts of expressions
Add and subtract polynomials
Add and subtract polynomials
Multiply binomials
Multiply binomials
Factor quadratics
Factor quadratics
Rewrite rational expressions using positive and negative exponents
Rewrite rational expressions using positive and negative exponents
Write quadratic and polynomial equations using zeros and other graphical information
Write quadratic and polynomial equations using zeros and other graphical information
Write systems of equations to represent real-world problems
Write systems of equations to represent real-world problems
Solve equations using square roots
Solve equations using square roots
Rearrange formulas to highlight specific quantities
Rearrange formulas to highlight specific quantities
Solve and graph solutions to absolute value inequalities
Solve and graph solutions to absolute value inequalities
Solve systems of linear equations
Solve systems of linear equations
Graph solutions to systems of linear inequalities
Graph solutions to systems of linear inequalities
Understand solutions to a system of equations
Understand solutions to a system of equations
Apply properties of equality to solve equations
Apply properties of equality to solve equations
Perform operations with numbers in scientific notation
Perform operations with numbers in scientific notation
Strategically rewrite polynomials
Strategically rewrite polynomials
Functions
Find the average rate of change
Find the average rate of change
Use graphs to find the average rate of change over intervals in nonlinear functions
Use graphs to find the average rate of change over intervals in nonlinear functions
Identify domain and range
Identify domain and range
Use formulas for geometric sequences
Use formulas for geometric sequences
Combine functions
Combine functions
Find inverses of linear functions
Find inverses of linear functions
Understand translations of functions
Understand translations of functions
Identify situations that can be modeled with quadratic relationships
Identify situations that can be modeled with quadratic relationships
Identify functions
Identify functions
Understand slope as a constant rate of change
Understand slope as a constant rate of change
Attend to precision
Attend to precision
Geometry
Describe congruence transformations
Describe congruence transformations
Perform basic constructions
Midpoints
Angles
Lines
Polygons
Perform basic constructions
Midpoints
Angles
Lines
Polygons
Find unknown side lengths in similar triangles
Find unknown side lengths in similar triangles
Recognize dilations of polygons
Recognize dilations of polygons
Identify and use relationships in circles
Identify and use relationships in circles
Graph circles from equations
Graph circles from equations
Apply similarity and congruence criteria on the coordinate plane
Apply similarity and congruence criteria on the coordinate plane
Identify and write equations to represent parallel and perpendicular lines
Identify and write equations to represent parallel and perpendicular lines
Find the volume of prisms and cylinders with irregular bases
Find the volume of prisms and cylinders with irregular bases
Solve real-world problems involving area and volume
Solve real-world problems involving area and volume
Use the Pythagorean theorem to find missing side lengths
Use the Pythagorean theorem to find missing side lengths
Make and support conjectures about angle relationships when parallel lines are cut by a transversal
Make and support conjectures about angle relationships when parallel lines are cut by a transversal
Find distances between two points on the coordinate plane using the Pythagorean theorem
Find distances between two points on the coordinate plane using the Pythagorean theorem
Construct simple proofs
Construct simple proofs
Statistics and Probability
Compare summary statistics for two different data sets
Compare summary statistics for two different data sets
Analyze sample surveys, experimental studies, and observational studies
Analyze sample surveys, experimental studies, and observational studies
Identify independent events and find the joint probability of two independent events
Identify independent events and find the joint probability of two independent events
Find conditional probabilities from two-way tables
Find conditional probabilities from two-way tables
Create and use linear models to solve problems involving data sets or scatter plots and interpret models in context
Create and use linear models to solve problems involving data sets or scatter plots and interpret models in context
Modeling
Write systems of equations to represent real-world problems
Write systems of equations to represent real-world problems
Justification and Explanation
Support claims with evidence and clear solution paths
Equations
Proofs
Support claims with evidence and clear solution paths
Equations
Proofs
Integrating Essential Skills
Perform operations with rational expressions
Perform operations with rational expressions
Interpret data distributions
Interpret data distributions
Understand the role of random sampling for surveys
Understand the role of random sampling for surveys
Reason quantitatively and attend to meaning when solving problems
Rates and measurements
Area and perimeter
Surface area and volume
Reason quantitatively and attend to meaning when solving problems
Rates and measurements
Area and perimeter
Surface area and volume
Exceeding
Number and Quantity
Evaluate radical expressions
Evaluate radical expressions
Rewrite radical expressions
Rewrite radical expressions
Round results according to measurement precision
Round results according to measurement precision
Algebra
Produce and use equivalent forms of expressions
Factor expressions
Complete the square
Produce and use equivalent forms of expressions
Factor expressions
Complete the square
Apply the Remainder Theorem
Apply the Remainder Theorem
Divide polynomials by inspection or long division
Divide polynomials by inspection or long division
Multiply trinomials
Multiply trinomials
Create different polynomials from the same list of zeros
Create different polynomials from the same list of zeros
Use quadratic, rational, or exponential equations to represent real-world problems including motion paths of objects acted on by gravity
Use quadratic, rational, or exponential equations to represent real-world problems including motion paths of objects acted on by gravity
Solve absolute value equations using cases
Solve absolute value equations using cases
Solve systems of linear and quadratic equations
Solve systems of linear and quadratic equations
Understand the zero property of multiplication
Understand the zero property of multiplication
Understand extraneous solutions may arise when solving radical equations by squaring both sides
Understand extraneous solutions may arise when solving radical equations by squaring both sides
Solve real-world problems with numbers in scientific notation
Solve real-world problems with numbers in scientific notation
Use efficient strategies to solve equations and systems of equations and rewrite polynomials
Systems of linear equations
Rational equations
Quadratic equations
Polynomial expressions
Use efficient strategies to solve equations and systems of equations and rewrite polynomials
Systems of linear equations
Rational equations
Quadratic equations
Polynomial expressions
Functions
Understand how x-intercepts relate to the zeros of quadratic functions
Understand how x-intercepts relate to the zeros of quadratic functions
Relate graphs to real-world scenarios
Relate graphs to real-world scenarios
Identify outputs of quadratic functions
Identify outputs of quadratic functions
Write explicit and recursive formulas for arithmetic and geometric sequences
Write explicit and recursive formulas for arithmetic and geometric sequences
Understand function notation for transformations and how translations, reflections, and dilations change the graphs of functions
Understand function notation for transformations and how translations, reflections, and dilations change the graphs of functions
Construct exponential or quadratic models from graphs, tables and verbal descriptions
Exponential functions
Quadratic functions
Choose an appropriate model
Construct exponential or quadratic models from graphs, tables and verbal descriptions
Exponential functions
Quadratic functions
Choose an appropriate model
Describe features of functions and apply understanding in context
Identify functions
Use function notation
Find domain and range
Describe features of functions and apply understanding in context
Identify functions
Use function notation
Find domain and range
Geometry
Use the congruence definition and congruence theorems
Use the congruence definition and congruence theorems
Complete proofs involving similar triangles
Complete proofs involving similar triangles
Define trigonometric ratios
Define trigonometric ratios
Find arc lengths and areas of sectors
Find arc lengths and areas of sectors
Use the midpoint formula to find endpoints
Use the midpoint formula to find endpoints
Use shapes, their measures, and properties to model real-world problems
Use shapes, their measures, and properties to model real-world problems
Make logical arguments and explain flawed reasoning
Make logical arguments and explain flawed reasoning
Statistics and Probability
Interpret differences in data distributions, taking into account outliers and context
Interpret differences in data distributions, taking into account outliers and context
Plot and analyze residuals
Plot and analyze residuals
Understand the role of random sampling and random assignment to treatment groups
Understand the role of random sampling and random assignment to treatment groups
Describe and represent compound events
Describe and represent compound events
Modeling
Use graphs and diagrams to interpret real-world problems
Use graphs and diagrams to interpret real-world problems
Write quadratic equations and interpret graphs of quadratic functions in real-world problems
Write quadratic equations and interpret graphs of quadratic functions in real-world problems
Justification and Explanation
Thoroughly justify conclusions by explaining errors in reasoning and providing counterexamples
Thoroughly justify conclusions by explaining errors in reasoning and providing counterexamples
Use a variety of proof techniques
Use a variety of proof techniques
Integrating Essential Skills
Flexibly use a variety of methods to model and solve problems, attending to the meaning of quantities
Flexibly use a variety of methods to model and solve problems, attending to the meaning of quantities
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