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.

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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.

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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.

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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.

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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.