Unit+2

=Numeric Factors (Unit 2)=

This math unit centers around the concept of prime numbers, which are the building blocks of all other numbers.
=Unit 2 Schedule= no class ||  || 50 minutes ||  || 60 minutes || * page 24/25 written exercises (#1 to #32; #41 to #48) no class || * see above || 45 minutes || * page 90 class exercises (#1 to #18) 70 minutes || * page 98 class exercises (#1 to #15) 40 minutes || * page 101 written exercises (#1 to #21) || 70 minutes || * review for Unit2 **test** || 90 minutes || * **Unit2 test** (given during math assessment timeslot) || 70 minutes || * Trimester1 individual math project Due || no class ||  ||
 * **Day & Date** || **Assessment Preparation** ||
 * Extra credit || page 31/32 problems (#1 to #12) ||
 * Monday, November 7 (F-day)
 * Monday, November 7 (F-day)
 * Tuesday, November 8 (G-day)
 * Wednesday, November 9 (H-day)
 * page 87 class exercises (#11 to #26)
 * page 87/88 written exercises (#1 to #20) ||
 * Thursday, November 10 (I-day)
 * Friday, November 11 (no school) || * see above ||
 * Monday, November 14 (J-day)
 * Monday, November 14 (J-day)
 * page 91 written exercises (#1 to #30) ||
 * Tuesday, November 15 (K-day)
 * page 99 written exercises (#1 to #25) ||
 * Wednesday, November 16 (L-day)
 * Thursday, November 17 (A-day)
 * Friday, November 18 (special schedule)
 * Monday, November 21 (C-day)
 * Monday, November 21 (C-day)
 * Tuesday, November 22 (D-day)

[[image:Prime_Factorization_Applications.jpg width="560" height="420"]]
=Additional Problems for this Unit=
 * 1) [|Simplifying Radicals - with fractions.pdf]
 * 2) [|Simplifying Radicals with variables.pdf]

=__**Visualizing Prime Numbers**__= =You can identify prime numbers visually by arranging dots into columns and rows. Numbers that can be arranged into neat rows and columns are NOT prime numbers (i.e., composite numbers). By neat, I mean that there are no incomplete rows and columns.= = = =__**Visualizing Greatest Common Factor**__=
 * = ==Composite Number== ||= ==Prime Number== ||
 * = [[image:Dots_-_non-prime_number.png width="177" height="232"]] ||= [[image:Dots_-_prime_number.png width="177" height="155"]] ||

Greatest Common Factor (GCF) is the largest number that is a factor of other numbers. For example, the GCF of 14 and 35 is 7. Seven is the largest grouping (factor) that can be made from both numbers.


=__**How many factors?**__= =You can determine the number of factors of a number by using the exponents of its prime factor tree.=

5 x 2 = 10 (there are 10 factors of 48)


=__**Visualizing Least Common Multiple**__= ==Least Common Multiple (LCM) is the smallest number is a multiple of other numbers. For example, let's say you have three different sized blocks of 3, 5, and 6 units. The LCM is 30. That is the smallest number that has the factors 3, 5, and 6.==



=__**GCF & LCM of several numbers**__= ==Finding the GCF is the same process no matter how many numbers are involved. Simply find the prime factors that are common to ALL numbers. Finding the LCM of more than two numbers is more complicated than finding the LCM of two numbers. See the example below. Notice how you identify the prime factors common to three numbers, then two numbers.==



=An Explation of Greatest Common Factor (GCF) & Least Common Multiple (LCM)=



=Prime factorization of numbers between 1 and 197=

Resources

 * ==Least Common Denominator==
 * ===eTextbook page 100===
 * ===Finding common denominators (Khan Academy video)===
 * ===Adding fractions with unlike denominators (Khan Academy video)===
 * ==Simplifying Fractions==
 * ===students contribution===
 * ==Simplifying Square Roots==
 * ===Understanding Square Roots (Khan Academy video)===
 * ==Rules of Divisibility==
 * ===//students contribution//===
 * ==Prime Factor trees==
 * ===Link to a webpage that computs the prime fators of a number===
 * ===If you want more of a graphical representation of the prime factor tree (see example below), you can download an app that creates prime factor trees ([|FactorTrees.nbp]).===
 * ===You must also download and install the this player (link)===
 * ==extra credit==
 * ===simplifying radicals (Khan Academy video)===
 * ===more simplifying radicals (Khan Academy video)===