# ALEKS Topics

90 ALEKS Topics to be Mastered:

### Math & Algebra (27 Topics):

• Integer multiplication and division
• Simplifying a fraction
• Equivalent fractions
• Signed decimal addition with three numbers
• Percentage of a whole number
• Evaluating expressions with exponents: Problem type 1
• Ordering numbers with positive exponents
• Ordering numbers with negative exponents
• Introduction to the product rule of exponents
• Quotients of expressions involving exponents
• Distributive property: Whole number coefficients
• Distributive property: Integer coefficients
• Combining like terms: Integer coefficients
• Algebraic symbol manipulation
• Power rule with positive exponents
• Power rule with negative exponents: Problem type 1
• Simplifying a sum or difference of three univariate polynomials
• Product rule with positive exponents
• Multiplying binomials with leading coefficients of 1
• Solving a two-step equation with integers
• Solving an equation to find the value of an expression
• Solving a rational equation that simplifies to a linear equation: Problem type 1
• Circumference and area of a circle
• Volume of a sphere
• Volume of a cylinder

### Measurement (22 topics):

• Multiplication of a decimal by a power of ten
• Division of a decimal by a power of ten
• Converting between decimal numbers and numbers written in scientific notation
• Multiplying or dividing numbers written in scientific notation
• Calculating positive powers of scientific notation
• Finding negative powers of scientific notation
• Knowing the dimension of common simple SI units
• Understanding the purpose of SI prefixes
• Knowing the value of an SI prefix as a power of 10
• Interconversion of prefixed and base SI units
• Interconversion of prefixed SI units
• Interconverting compound SI units
• Interconverting temperatures in Celsius and Kelvins
• Interconverting temperatures in Celsius and Fahrenheit
• Addition and subtraction of measurements
• Simplifying unit expressions
• Multiplication and division of measurements
• Counting significant digits
• Rounding to a given significant digit
• Counting significant digits when measurements are added or subtracted
• Counting significant digits when measurements are multiplied or divided
• Adding or subtracting and multiplying or dividing measurements

### Matter (13 topics):

• Finding the side length of a cube from its volume in liters
• Calculating mass density
• Using mass density to find mass or volume
• Distinguishing elements and compounds
• Distinguishing compounds and mixtures
• Distinguishing chemical and physical change
• Distinguishing solid, liquid and gas phases of a pure substance
• Names and symbols of important elements
• Reading a Periodic Table entry
• Understanding periods and groups of the Periodic Table
• Organization of the Periodic Table
• Standard chemical and physical states of the elements
• Using the periodic table to identify similar elements

### Atoms, Ions and Molecules (28 topics):

• Identifying the parts of an atom
• Counting the number of protons and electrons in a neutral atom
• Counting the protons and electrons in atoms and atomic ions
• Finding isoprotonic atoms
• Finding isoelectronic ions
• Predicting the ions formed by common main-group elements
• Isotopes
• Finding atomic mass from isotope mass and natural abundance
• Counting valence electrons in a neutral atom
• Counting valence electrons in an atomic atom
• Drawing the Lewis dot diagram of a main group atom or common atomic ion
• Counting the number of atoms in a formula unit
• Writing a chemical formula given a molecular model
• Writing a chemical formula given a chemical structure
• Understanding the prefixes used in naming binary compounds
• Naming binary covalent compounds
• Predicting whether a compound is ionic or molecular
• Predicting the formula of binary ionic compounds
• Naming binary ionic compounds
• Deducing the ions in a binary ionic compound from its empirical formula
• Predicting ionic compounds formed by two elements
• Predicting and naming ionic compounds formed by two elements
• Identifying common polyatomic ions
• Predicting the formula of ionic compounds with common polyatomic ions
• Naming ionic compounds with common polyatomic ions
• Deducing the ions in an ionic compound from its empirical formula
• Identifying oxoanions
• Naming ionic compounds with common oxoanions