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 realworld 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 nonintegers
 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 twostep equation with integers
 Solving a twostep equation with signed fractions
 Solving a twostep 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 onestep variable expression for a realworld situation
 Translating a phrase into a twostep expression
 Translating a sentence into a onestep 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 onestep inequality for a realworld 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: Onestep rules
 Writing a function rule given a table of ordered pairs: Twostep 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 = ax^{3}
 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 yintercepts
 Graphing a line given its equation in slopeintercept 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 yintercept of a line given its equation
 Finding x and yintercepts 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 yintercept 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 realworld 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: Slopeintercept 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 nonnumerical data
 Interpreting a bar graph
 Interpreting a double bar graph
 Constructing a boxandwhisker plot
 Interpreting a stemandleaf 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
