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ALEKS Topics by Objective

You may find it helpful to refer to this list of ALEKS Topics grouped by Objective. This is particularly useful when you are trying to complete a particular Objective, but don't know which topics to do since your "brown" slice isn't organized by Objective.

This list is subject to change at any moment (and WILL change!), and is only offered here as a helpful reference. I will update it periodically as necessary.

1. Foundations of Algebra (87 topics)
  • Rounding to hundreds or thousands
  • Introduction to exponents
  • Writing expressions using exponents
  • Power of 10: Positive exponent
  • Order of operations with whole numbers
  • Order of operations with whole numbers and grouping symbols
  • Order of operations with whole numbers and exponents: Basic
  • Evaluating an algebraic expression: Whole numbers with two operations
  • Filling in missing operations to make an equation
  • Factors
  • Prime numbers
  • Prime factorization
  • Greatest common factor of 2 numbers
  • Least common multiple of 2 numbers
  • Equivalent fractions
  • Simplifying a fraction
  • Using a common denominator to order fractions
  • Addition or subtraction of fractions with the same denominator
  • Finding the LCD of two fractions
  • Introduction to addition or subtraction of fractions with different denominators
  • Addition or subtraction of fractions with different denominators
  • Product of a unit fraction and a whole number
  • Product of a fraction and a whole number: Problem type 1
  • Introduction to fraction multiplication
  • Fraction multiplication
  • The reciprocal of a number
  • Division involving a whole number and a fraction
  • Fraction division
  • Mixed arithmetic operations with fractions
  • Writing an improper fraction as a mixed number
  • Writing a mixed number as an improper fraction
  • Addition of mixed numbers with the same denominator and carry
  • Subtraction of mixed numbers with the same denominator and borrowing
  • Mixed number multiplication: Problem type 1
  • Mixed number division
  • Decimal place value: Tenths and hundredths
  • Decimal place value: Hundreds to ten thousandths
  • Converting a fraction to a terminating decimal
  • Converting a fraction to a repeating decimal
  • Decimal addition with 3 numbers
  • Subtraction of aligned decimals
  • Multiplication of a decimal by a whole number
  • Multiplication of a decimal by a power of ten
  • Decimal multiplication: Problem type 1
  • Division of a decimal by a whole number
  • Division of a decimal by a power of ten
  • Writing a signed number for a real-world situation
  • Reading the temperature from a thermometer
  • Plotting integers on a number line
  • Ordering integers
  • Fractional position on a number line
  • Plotting rational numbers on a number line
  • Integer addition: Problem type 1
  • Integer addition: Problem type 2
  • Integer subtraction: Problem type 1
  • Integer subtraction: Problem type 2
  • Integer subtraction: Problem type 3
  • Signed fraction addition or subtraction: Basic
  • Signed decimal addition and subtraction
  • Signed decimal addition and subtraction with 3 numbers
  • Integer multiplication and division
  • Multiplication of 3 or 4 integers
  • Signed fraction multiplication: Basic
  • Order of operations with integers
  • Exponents and integers: Problem type 1
  • Exponents and integers: Problem type 2
  • Exponents and signed fractions
  • Order of operations with integers and exponents
  • Evaluating a linear expression: Integer multiplication with addition or subtraction
  • Evaluating a quadratic expression: Integers
  • Absolute value of a number
  • Operations with absolute value
  • Identifying numbers as integers or non-integers
  • Understanding the distributive property
  • Distributive property: Whole number coefficients
  • Distributive property: Integer coefficients
  • Combining like terms: Whole number coefficients
  • Combining like terms: Integer coefficients
  • Combining like terms: Advanced
  • Combining like terms in a quadratic expression
  • Properties of addition
  • Properties of real numbers
  • Sketching the line of best fit
  • Scatter plots and correlation
  • Scientific notation with positive exponent
  • Scientific notation with negative exponent
  • Multiplying or dividing numbers written in scientific notation
2. Equations (26 topics)
  • Additive property of equality with whole numbers
  • Additive property of equality with decimals
  • Additive property of equality with integers
  • Additive property of equality with a negative coefficient
  • Multiplicative property of equality with whole numbers
  • Multiplicative property of equality with fractions
  • Multiplicative property of equality with decimals
  • Multiplicative property of equality with integers
  • Multiplicative property of equality with signed fractions
  • Using two steps to solve an equation with whole numbers
  • Solving a two-step equation with integers
  • Solving a two-step equation with signed fractions
  • Solving a two-step equation with signed decimals
  • Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution
  • Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients
  • Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution
  • Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions
  • Solving a linear equation with several occurrences of the variable: Fractional forms with binomial numerators
  • Solving equations with zero, one, or infinitely many solutions
  • Introduction to algebraic symbol manipulation
  • Algebraic symbol manipulation: Problem type 1
  • Algebraic symbol manipulation: Problem type 2
  • Introduction to writing a one-step variable expression for a real-world situation
  • Translating a phrase into a two-step expression
  • Translating a sentence into a one-step equation
  • Solving an absolute value equation of the form |ax+b| = c
3. Inequalities (13 topics)
  • Translating a sentence by using an inequality symbol
  • Graphing a linear inequality on the number line
  • Writing an inequality given a graph on the number line
  • Translating a sentence into a compound inequality
  • Graphing a compound inequality on the number line
  • Solving a linear inequality: Problem type 1
  • Solving a linear inequality: Problem type 2
  • Solving a linear inequality: Problem type 3
  • Solving a linear inequality: Problem type 4
  • Solving a linear inequality: Problem type 5
  • Solving a compound linear inequality: Problem type 1
  • Writing a one-step inequality for a real-world situation
  • Solving an absolute value inequality: Basic
4. Functions (14 topics)
  • Table for a linear function
  • Evaluating functions: Linear and quadratic or cubic
  • Identifying functions from relations
  • Vertical line test
  • Domain and range from ordered pairs
  • Writing a function rule given a table of ordered pairs: One-step rules
  • Writing a function rule given a table of ordered pairs: Two-step rules
  • Independent and dependent variables
  • Graphing integer functions
  • Finding inputs and outputs of a function from its graph
  • Domain and range from the graph of a continuous function
  • Graphing a cubic function of the form y = ax3
  • Choosing a graph to fit a narrative : Advanced
  • Finding a specified term of an arithmetic sequence given the common difference and first term
5. Linear Functions (23 topics)
  • Table for a linear equation
  • Finding a solution to a linear equation in two variables
  • Determining whether given points lie on one, both, or neither of 2 lines given equations
  • Graphing a line given its x- and y-intercepts
  • Graphing a line given its equation in slope-intercept form
  • Graphing a line given its equation in standard form
  • Graphing a line through a given point with a given slope
  • Graphing a vertical or horizontal line
  • Finding the y-intercept of a line given its equation
  • Finding x- and y-intercepts of a line given the equation: Advanced
  • Finding slope given the graph of a line on a grid
  • Finding slope given two points on the line
  • Finding the slope of a line given its equation
  • Writing an equation of a line given the y-intercept and another point
  • Writing the equation of a line given the slope and a point on the line
  • Writing the equation of the line through two given points
  • Writing the equations of vertical and horizontal lines through a given point
  • Writing an equation and drawing its graph to model a real-world situation
  • Application problem with a linear function: Finding a coordinate given the slope and a point
  • Application problem with a linear function: Finding a coordinate given two points
  • Finding slopes of lines parallel and perpendicular to a line given in the form Ax + By = C
  • Writing equations of lines parallel and perpendicular to a given line through a point
  • Midpoint of a line segment in the plane
6. Systems (12 topics)
  • Graphing a linear inequality in the plane: Standard form
  • Graphing a linear inequality in the plane: Vertical or horizontal line
  • Graphing a linear inequality in the plane: Slope-intercept form
  • Graphically solving a system of linear equations
  • Solving a system of linear equations using substitution
  • Solving a system of linear equations using elimination with multiplication and addition
  • Solving a system of linear equations that is inconsistent or consistent dependent
  • Interpreting the graphs of two functions
  • Solving a word problem involving a sum and another simple relationship using a system of linear equations
  • Solving a value mixture problem using a system of linear equations
  • Solving a percent mixture problem using a system of linear equations
  • Graphing a system of two linear inequalities: Basic
7. Constructions (5 topics)
  • Naming segments, rays, and lines
  • Constructing the perpendicular bisector of a line segment
  • Constructing a pair of perpendicular lines
  • Constructing congruent angles
  • Constructing an angle bisector
8. Transformations (7 topics)
  • Identifying transformations
  • Translation of a polygon
  • Coordinates of translated points
  • Reflection of a polygon over a vertical or horizontal line
  • Coordinates of points reflected over an axis
  • Rotation of a figure about the origin
  • Dilation
9. Pythagorean Theorem (5 topics)
  • Estimating a square root
  • Pythagorean Theorem
  • Computing an area using the Pythagorean Theorem
  • Using the Pythagorean Theorem repeatedly
  • Distance between two points in the plane
10. Triangle Proofs (15 topics)
  • Naming segments, rays, and lines
  • Supplementary and complementary angles
  • Corresponding and alternate angles
  • Supplementary and vertical angles
  • Solving equations involving angles and parallel lines
  • Finding an angle measure of a triangle given two angles
  • Finding an angle measure given extended triangles
  • Finding an angle measure given a triangle and parallel lines
  • Finding an angle measure for a triangle with an extended side
  • Identifying and naming congruent triangles
  • Proofs involving congruent triangles: Problem type 1
  • Proofs involving congruent triangles: Problem type 2
  • Proofs involving congruent triangles: Problem type 3
  • Proofs involving congruent triangles: Problem type 4
  • Identifying similar or congruent shapes on a grid
11. Univariate Data (11 topics)
  • Constructing a histogram for numerical data
  • Constructing a bar graph for non-numerical data
  • Interpreting a bar graph
  • Interpreting a double bar graph
  • Constructing a box-and-whisker plot
  • Interpreting a stem-and-leaf plot
  • Mode of a data set
  • Finding the mode and range of a data set
  • Mean of a data set
  • Mean and median of a data set
  • Choosing the best measure to describe data
12 Standard Deviation (1 topic)
  • Population standard deviation
13. Bivariate Data (4 topics)
  • Computing a percentage from a table of values
  • Sketching the line of best fit
  • Scatter plots and correlation
  • Interpreting a line graph
14. 3D Geometry (15 topics)
  • Volume of a rectangular prism
  • Volume of a piecewise rectangular prism
  • Volume of a triangular prism
  • Volume of a pyramid
  • Volume of a cylinder
  • Volume of a cone: Exact answers in terms of pi
  • Volume of a sphere
  • Nets of solids
  • Nets of solids: Advanced
  • Surface area of a cube or a rectangular prism
  • Surface area of a solid made of unit cubes
  • Surface area of a triangular prism
  • Surface area of a cylinder: Exact answers in terms of pi
  • Surface area of a sphere
  • Surface area involving prisms or cylinders
15. Exponential Functions (6 topics)
  • Evaluating an expression with a negative exponent: Positive fraction base
  • Graphing an exponential function and its asymptote: f(x) = a(b)x
  • Arithmetic and geometric sequences: Identifying and writing an explicit rule
  • Finding a specified term of a geometric sequence given the common ratio and first term
  • Finding a final amount in a word problem on exponential growth or decay
  • Compound interest
16. Radical Functions (19 topics)
  • Domain of a square root function
  • Graphing a square root function
  • Square root of a perfect square
  • Estimating a square root
  • Square root of a rational perfect square
  • Cube root of an integer
  • Simplifying the square root of a whole number less than 100
  • Square root of a perfect square monomial
  • Simplifying a radical expression with an even exponent
  • Simplifying a radical expression with two variables
  • Square root addition or subtraction
  • Square root multiplication: Advanced
  • Simplifying a product involving square roots using the distributive property: Advanced
  • Special products of radical expressions: Conjugates and squaring
  • Rationalizing the denominator of a radical expression
  • Rationalizing the denominator of a radical expression using conjugates
  • Converting between radical form and exponent form
  • Solving a radical equation that simplifies to a linear equation: One radical, basic
  • Solving a radical equation that simplifies to a linear equation: Two radicals

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