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. |