## NumbersHow to compare and order rational numbersHow to convert between decimals and fractions How to calculate square roots How to calculate cube roots How to determine absolute values and opposites |
## OperationsHow to add, subtract, multiply and divide integersHow to add, subtract, multiply and divide rational numbers What is the order of operations with integers What is the order of operations with rational numbers How to evaluate variable expressions involving rational numbers or integers |

## Ratios and proportionsHow to identify equivalent ratiosHow to solve proportions |
## PercentsHow to convert between percents, fractions and decimalsHow to solve percent equations |

## MeasurementConvert rates and measurements for metric and customary unitsWhat is the percent error How to determine the greatest possible error |
## GeometryHow to determine perimeters, areas and volumesHow to identify similar figures How to master the Pythagorean theorem How to determine areas, perimeters and volumes of similar figures How to determine the area between two shapes |

## Variable expressions and equationsHow to write variable expressionsHow to write variable equations How to solve equations using order of operations How to write and solve equations that represent diagrams How to solve a one-step or a two-step linear equation How to solve equations with variables on both sides How to solve advanced linear equations |
## Single-variable inequalitiesHow to graph inequalitiesHow to write inequalities from graphs How to solve one-step linear inequalities How to graph solutions to one-step linear inequalities How to solve two-steps linear inequalities How to graph solutions to one-step linear inequalities How to graph compound inequalities How to write compound inequalities from graphs How to solve compound inequalities How to graph solutions to compound inequalities |

## Absolute value equations and inequalitiesHow to solve absolute value equations and graph their solutionsHow to solve absolute value inequalities and graph their solutions |
## MatrixWhat are the different matrix operation rulesHow to add and subtract matrices How to multiply a matrix by a scalar How to multiply two matrices |

## Data and graphsHow to create and interpret line graphs, bar graphs and histogramsHow to interpret box-and-whisker plots How to interpret stem-and-leaf plots How to interpret scatter plots |
## Number sequencesHow to identify arithmetic and geometric sequencesHow to write variable expressions for geometric sequences How to write variable expressions for arithmetic sequences How to evaluate variable expressions for number sequences |

## Relations and functionsHow to determine the domain and the range of a relationHow to identify functions How to identify independent and dependent variables How to graph a function How to evaluate and write function rules How to find points on a function graph |
## Direct and inverse variationHow to graph a proportional relationshipHow to write and solve direct variation equations How to identify direct variation and inverse variation How to write and solve inverse variation equations |

## Linear functionsHow to identify linear functionsHow to find the slope of a graph What is the slope-intercept form How to find a slope from two points How to compare linear functions How to graph a vertical or horizontal line What is the standard form What is the point-slope form How to determine slopes of parallel and perpendicular lines How to write an equation for a parallel or perpendicular line How to write equations in standard form |
## Linear inequalitiesHow to graph a linear inequality in the coordinate planeHow to solve a system of linear inequalities by graphing |

## Systems of linear equationsHow to solve a system of equations by graphingHow to determine the number of solutions to a system of equations by graphing How to classify a system of equations How to solve a system of equations using substitution How to solve a system of equations using elimination How to solve a system of equations using augmented matrices |
## ExponentsHow to calculate exponents with fractional or decimal basesHow to calculate negative exponents How to do multiplication and division of exponents How to simplify expressions involving exponents How to evaluate integers raised to rational exponents |

## Scientific notationHow to convert between standard and scientific notationHow to compare, multiply and divide numbers written in scientific notation |
## Exponential functionsHow to evaluate an exponential functionHow to match exponential functions and graphs |

## MonomialsHow to identify and compare monomialsHow to multiply and divide monomials |
## PolynomialsHow to add and subtract polynomialsHow to multiply a polynomial by a monomial How to multiply two binomials How to multiply polynomials |

## FactoringHow to determine the GCF of monomialsHow to factor polynomials How to factor quadratics |
## Quadratic equationsWhat are the characteristics of quadratic functionsHow to solve a quadratic equation by using square roots How to solve a quadratic equation by factoring How to solve a quadratic equation using the quadratic formula How to solve a quadratic equation using determinant |

## Absolute value functionsDomain and range of absolute value functionsHow to graph absolute value functions |
## Radical functions and expressionsHow to simplify radical expressionsHow to add, subtract and multiply and divide radical expressions How to evaluate radical functions How to determine domains and ranges of radical functions How to solve radical equations |

## TrigonometryHow to determine trigonometric ratios sin, cos and tanHow to determine the inverses of trigonometric functions |
## ProbabilityHow to calculate permutations, combinations and factorialsWhat is the difference between theoretical and experimental probability How to identify independent and dependent events How to find the number of outcomes of compound events |

## StatisticsHow to determine median, mean, range and modeHow to identify an outlier How to identify biased samples How to determine variance and standard deviation What is a quartile |