## Number theoryWhat are the divisibility rulesHow to determine the greatest common factor How to determine the least common multiple What is the scientific notation How to classify numbers |
## IntegersHow to graph integersHow to determine the absolute value of integers What is the opposite of a number How to compare and order integers How to solve integers inequalities with absolute values What are the addition and subtraction rules for integers What are the multiplication and division rule for integers How to evaluate numerical expressions involving integers |

## DecimalsHow to compare and order decimalsHow to round decimals How to add and subtract decimals How to multiply decimals How to divide decimals How to solve multi-step inequalities with decimals How to read maps with decimal distances How to evaluate numerical expressions involving decimals |
## Fractions and mixed numbersWhen are fractions equivalentHow to simplify fractions How to determine the least common denominator How to round mixed numbers How to compare and order fractions How to convert between mixed numbers and improper fractions How to add and subtract fractions How to add and subtract mixed numbers How to estimate sums and differences of mixed numbers How to multiply fractions and whole numbers How to multiply fractions How to multiply mixed numbers How to divide fractions and mixed numbers How to estimate products and quotients of fractions and mixed numbers How to read a map with fractional distances How to evaluate numerical expressions involving fractions |

## Rational numbersHow to identify rational numbersHow to compare and order rational numbers How to determine absolute values of rational numbers How to add, subtract, multiply and divide rational numbers |
## Exponents and square rootsHow to evaluate exponentsHow to solve equations with variable exponents How to evaluate negative exponents How to evaluate numerical expressions involving exponents How to estimate square roots How to understand exponents with decimal or fractional bases How to understand exponents with negative bases |

## Ratios and proportionsWhen are two ratios equivalentHow to compare ratios How to solve proportions What is the rate of change What is the constant of proportionality How to solve problems involving proportional relationships How to identify proportional relationships How to graph proportional relationship How to write equations for proportional relationships |
## PercentsHow to convert between percents fractions and decimalsHow to estimate percents of numbers and money amounts How to solve percent equations How to compare percents to fractions and decimals |

## Consumer mathHow to calculate a discountWhat is the difference between simple and compound interest |
## MeasurementHow to estimate customary measurementsHow to estimate metric measurements How to compare and convert metric units How to convert between customary and metric units How to convert between Celsius and Fahrenheit temperatures |

## Coordinate planeHow to calculate the distance between two points |
## Number sequencesWhat is the difference between geometric and arithmetic sequencesHow to write variable expressions for arithmetic sequences |

## Variable expressionsHow to write variable expressionsHow to evaluate linear, multi-linear and nonlinear expressions How to factor linear expressions How to add and subtract like terms How to add, subtract and multiply linear expressions |
## One-variable equationsHow to write an equation from wordsHow to solve one-steps and two-steps equations How to solve equations involving like terms How to model and solve equations using algebra tiles How to write and solve equations that represent diagrams |

## One-variable inequalitiesHow to graph inequalities on number linesHow to graph solutions to one-step and two-steps inequalities |
## Two-variable equationsidentify independent and dependent variableHow to write and graph two-variable equation |

## Linear functionsHow to find the slope from a graphHow to find the slope from an equation How to find the slope from two points How to write linear functions How to identify linear and nonlinear unctions |
## GeometryHow to name, measure and classify anglesHow to identify complementary, supplementary, adjacent, vertical and congruent angles How to classify triangles and quadrilaterals What is the difference between parallel, perpendicular and intersecting How to identify and classify polygons How to calculate the area and perimeters of rectangles, triangles, parallelograms and trapezoid How to calculate area, circumference and radius of circles How to calculate perimeter, area, radius and diameters of semicircles How to calculate perimeter, area, radius and diameters of quarter circles How to calculate the area between two shapes |

## TransformationsHow to identify translations, reflections and rotationsHow to identify and create symmetry |
## Data and GraphsHow to create and interpret line plots, line graphs, bar graphs, circle charts and histogramsHow to create frequency charts |

## StatisticsHow to calculate mean, median, mode and rangeHow to interpret charts to find mean, median, mode and range How to calculate the probability of simple events How to calculate the probability of dependent and independent events How to calculate the probability of opposite, mutually exclusive and overlapping events How to calculate factorials, permutations and combinations How to find the number of outcomes of compound events |