Prime Factorization Learning Goal: to express a composite number as a product of prime numbers DVI: 1-Complementary angles 2- Exponent
Factors- numbers that are multiplied to find a product. Prime number- a whole number greater than 1 that has exactly 2 factors, itself and 1. Composite number- a whole number greater than 1 that has more than 2 factors. Prime factorization- a way of showing a composite number as a product of prime numbers- you can use a factor tree to find.
48 4 2 12 3
300 3 100 25 5 4 2
63
Greatest Common Factor Learning Goal: to find the GCF of two or more numbers DVI 1-Coordinate plane 2- outliers
Greatest Common Factor (GCF)- the greatest number that is a factor of each of those numbers. 2 ways to find: Make a list of factors Use prime factorization
Least Common Multiple Learning Goal: to find the LCM of two or more numbers 1- powers 2- combining like terms
Multiple- the product of a number and any whole number. LCM- the least non-zero common multiple of two or more numbers. 2 ways to find: Make a list of multiples Use prime factorization
Fraction Sense Learning Goal: To determine whether a fraction is closest to -1, -½, 0, ½ , or 1 DVI: 1- equal ratios 2- range
A fraction is: Close to 1 or -1 when: Close to -½ or ½ when: When the absolute value of its numerator is about equal to the absolute value of the denominator. Examples: 56/57, 4/5, -7/8 Close to -½ or ½ when: When double the absolute value of its numerator is about equal to the absolute value of its denominator. -9/20, 15/31, 3/7 Close to 0: When the absolute value of its numerator is much less than the absolute value of the denominator. 3/28, 2/15
When comparing fractions: You can use cross products to compare
Density Property An infinite number of rational numbers can be found between any two rational numbers.
Compare and Order Rational Numbers Learning Goal: to compare and order rational numbers