## Number sense and place valuesHow to compare numbers up to billionsWhat are the arithmetic rules for even and odd numbers How to compare integers How to write and calculate roman numerals How to compare integers What is the scientific notation |
## Addition and subtractionHow to add and subtract whole numbers up to billionsHow to estimate sums and differences of whole numbers What are the properties of addition |

## MultiplicationHow to multiply by a one digit numberHow to multiply numbers ending in zeroes How to multiply by two-digits numbers What are the properties of multiplication How to multiply by three or more digits numbers How to multiply three or more numbers up to 3-digits each properties of multiplication |
## DivisionHow to divide numbers ending in zeroesHow to divide numbers by 1 digits numbers How to estimate quotients How to divide by 2-digits numbers How to divide money amounts How to divide by powers of ten How to divide with decimal quotients |

## ExponentsHow to understand exponentsHow to evaluate exponents |
## DecimalsHow to convert decimals between standard and expanded formHow to compare decimal numbers How to round decimals How to convert fractions to decimals How to convert decimals to fractions How to compare decimals and fractions How to add and subtract decimal numbers How to estimate sums and differences of decimals How to estimate products of decimals How to multiply a decimal by a power of ten How to multiply decimals and whole numbers How to multiply two decimals |

## Fractions and mixed numbersWhen are two fractions equivalentHow to reduce fractions to lowest terms How to determine the least common denominator How to compare fractions and mixed numbers Arithmetic and geometric sequences with fractions How to round mixed numbers How to decompose fractions How to add and subtract numbers with like denominators How to add and subtract fractions with unlike denominators How to add and subtract mixed numbers with like denominators How to add and subtract mixed numbers with unlike denominator How to estimate sums and differences of mixed numbers How to compare sums and differences of fractions How to multiply fractions by whole numbers How to multiply two fractions How to scale whole numbers by fractions How to scale mixed numbers by fractions How to scale fractions by fractions How to multiply three or more fractions and whole numbers How to estimate products of mixed numbers How to multiply a mixed number by a fraction How to multiply two mixed numbers How to multiply three or more mixed numbers, fractions and whole numbers How to multiply a mixed number by a whole number How to divide fractions by whole numbers How to divide whole numbers by fractions How to divide two fractions How to divide fractions and mixed numbers |
## Ratios, proportions and percentsHow to determine a ratioWhat are proportions How to convert between percents, fractions and decimals How to determine a percent of a number How to compare percentages |

## Coordinate planeHow to graph points on a coordinate planeHow to follow directions on a coordinate plane |
## Variable expressionsHow to write variable expressionsHow to solve equations with whole numbers How to solve equations with decimals How to graph a two-variable relationship How to find a value using a two-variable equation |

## Data and GraphsHow to create and interpret lines and bar graphsHow to create and interpret pictographs and histograms How to create and interpret line plots with or without fractions How to read and interpret a circle graph |
## Probability and statisticsHow to calculate mean, median, mode and rangeHow to interpret charts to find mean, median, mode and range How to calculate probability How to calculate probabilities of compound events How to calculate combinations |

## TimeHow to convert time unitsHow to add and subtract mixed time units |
## MeasurementHow to compare and convert customary units of lengthHow to compare and convert customary units of weight How to compare and convert customary units of volume How to compare and convert metric units of length How to compare and convert metric units of weight How to compare and convert metric units of volume How to convert between metric and customary units How to convert customary units involving fractions How to add, subtract and convert mixed customary and metric units |

## GeometryWhat are the different types of trianglesWhat is the difference between regular and irregular polygons How to classify quadrilaterals How to rotate, translate and reflect How to count and compare sides, edges, faces and vertices How to calculate areas of squares, rectangles, triangles, parallelograms and trapezoids How to determine areas and perimeters of figures on grids How to calculate volumes of cube and rectangular prisms How to calculate radius, diameter, circumference and area of a circle How to calculate angles in a triangle or a quadrilateral |