# NUMBER THEORY

Sections:

Divisibility

Factors

LCM and GCF

Least Common Multiple

Real Numbers

Divisibility:

Name | Type | Description | Funsheet | Key | Standard | Key |

Divisibility | Color Pattern | Students will determine if a number is divisible by one or more of the following: 2, 3, 5, 7, 9 or none. | ||||

Divisibility 2 | Standard | Students will determine if a two digit number is divisible by 2,3,4,5,6,9 or 10 | ||||

Divisibility 3 | Standard | Students will determine if a two digit number is divisible by 2,3,4,5,6 or 9 | ||||

Divisibility 4 | Standard | Students will determine if larger numbers are divisible by 3,4,6,7,8 or 9 | ||||

Divisibility 5 | Standard | Students will determine if larger numbers are divisible by 2,3,4,5,6,7,8 or 9 | ||||

Divisibility 6 | Riddle | Students will determine if a large number is divisible by 2,3,4,5,6,7,8 or 9 | ||||

Divisibility Foldable | Foldable | Fold along solid line, cut along dotted line. Standard: Fold tables outward so they are in front and have students write divisibility rules inside. Answer Key: Fold table inwards, have students write divisor on front flap and use as ready made guide. | ||||

Sieve of Eratosthenes | Activity | Classic method of finding prime numbers between 1 and 100. |

Factors:

Name | Type | Description | Funsheet | Key | Standard | Key |

GCF 1 | Riddle | Students will find GCF of a pair of numbers. | ||||

GCF 2 | Standard | Matching. Students will find GCF of a pair of numbers. | ||||

GCF 3 | Riddle | Students will find GCF of a pair of numbers (up to 110). | ||||

GCF 4 | Riddle | Students will find GCF of three numbers (up to 110). | ||||

GCF 5 | Pyramid | Students will find GCF of three numbers (up to 100). Funsheet is pyramid format, standard has enough room for factor tree format. Use funsheet AK for both. | ||||

GCF Cube | Color Pattern | Students will find GCF of a pair of numbers (up to 250). | ||||

Prime Factorization | Standard | Prime factorization of a single number. Formatted as fill in the blanks for students who need a little help. | ||||

Prime Factorization 1 | Standard | Numbers between 27 and 175, enough space for factor trees. | ||||

Prime Factorization 2 | Standard | Numbers between 54 and 184, enough space for factor trees. |

LCM and GCF:

Name | Type | Description | Funsheet | Key | Standard | Key |

LCM and GCF 1 | Standard | Students will find LCM and GCF of 2 or 3 numbers. | ||||

LCM and GCF Word Problems 1 | Standard | 9 problems. | ||||

LCM and GCF Word Problems 2 | Standard | 6 problems, hard(er) level. Students must convert units, find volume, etc. to solve. |

Least Common Multiple:

Name | Type | Description | Funsheet | Key | Standard | Key |

LCM 1 | Riddle | Students will find LCM of a pair of integers. Smaller values. | ||||

LCM 2 | Riddle | Students will find LCM of a pair of integers. | ||||

LCM 3 | Quotes | Students will find LCM of a pair of integers. | ||||

LCM 4 | Riddle | Students will find LCM of three integers. | ||||

LCM 5 | Standard | Students will find LCM of both a pair of integers or three integers. Multiple choice. | ||||

LCM Word Problems | Standard | 12 word problems. |

Real Numbers:

Name | Type | Description | Funsheet | Key | Standard | Key |

Classifying Real Numbers | Venn Diagram | Students will classify natural/counting, whole, integers, rational and irrational numbers. Numbers can be cut/paste into diagram or simply written in. |