# Unit Title: Prime Time

```CMS Curriculum Guides 2011-2012
Honors
Unit Title: Prime Time
Suggested Time: Unit does not begin until day 8. Unit will take approximately 14 days.
Enduring understanding (Big Idea): 1. Determining the factors of whole numbers. 2. Finding greatest common factors and generating multiples. 3. Determining prime
factorization. 4. Classifying numbers as prime or composite. (FOUND IN TEACHER’S EDITION ON MATHEMATICAL HIGHLIGHTS PAGE)
Essential Questions: Will breaking a number into factors help me solve the problem? What relationships will doing that help me see? What do the factors and multiples of the
numbers tell me about the situation? How can I find the factors of the numbers? How can I find the multiples? What common factors and common multiples do the numbers have?
(FOUND IN TEACHER’S EDITION ON MATHEMATICAL HIGHLIGHTS PAGE)
Unit Plans (FOUND IN TEACHER’S EDITION ON PLANNING FOR
THE UNIT PAGE)
Prior to Investigation 1:
1. Formative testing will be within the first 10 days of school.
2. Review the order of operations.
3. Teach students the expectations on answering CMP2 questions.
Investigation 1 Factors and Multiples
Problem 1.1- pages 6-9 ACE #1-7, 28-31, 39
Problem 1.2- pages 9-11 ACE #8-16, 32-34, 40-44
Problem 1.3- pages 11-13 ACE #17-27, 35-38, 45-49
Common Core Standards
Alignment/Mathematical Practices
Connection to 2003 Standards
6.EE.2.b Identify parts of an expression using
mathematical terms (sum, term, product, factor,
quotient, coefficient); view one or more parts of
an expression as a single entity. For example,
describe the expression 2(8 + 7) as a product of
two factors; view (8 + 7) as both a single entity
and a sum of two terms described verbally
1.05 Develop fluency in the use of
factors, multiples, exponential
notation, and prime factorization.
Mathematical Practices:
3. Construct viable arguments and critique the
reasoning of others.
5. Use appropriate tools strategically.
Investigation 2 Whole Number Patterns and Relationships
Problem 2.1- pages 22-24 ACE #1-9, 22-24; 31-33
Problem 2.2- pages 24-26 ACE #10-16, 25, 34-35
Problem 2.3- pages 26- 29 ACE #17-21, 26-30, 36-41
Math Reflections
7. Look for and make use of structure.
6.NS.4 Find the greatest common factor of two
whole numbers less than or equal to 100 and the
least common multiple of two whole numbers less
than or equal to 12. Use the distributive property
to express a sum of two whole numbers 1–100
with a common factor as a multiple of a sum of
CMS Curriculum Guides 2011-2012
Honors
two whole numbers with no common factor. For
example, express 36 + 8 as 4(9 + 2.
Mathematical Practices:
1. Make sense of problems and persevere in
solving them.
4. Model with Mathematics.
5. Use appropriate tools strategically.
Investigation 3 Common Multiples and Common Factors
Problem 3.1- pages 37-38 ACE #1-8, 31, 32
Problem 3.2- pages 39-40 ACE #9-15, 33-35, 37, 38
Problem 3.3- pages 40-41 ACE #16-23, 39-41
Problem 3.4- page 41 ACE #24-30, 36, 42-44
7. Look for and make use of structure.
6.NS.4 (shown above)
6.EE.2.b (shown above)
Mathematical Practices:
1.05 Develop fluency in the use of
factors, multiples, exponential
notation, and prime factorization.
8. Look for and express regularity in repeated
reasoning.
Investigation 4 Factorizations
Problem 4.1- pages 49-50 ACE #1-3, 25, 26, 34
Problem 4.2- pages 50-52 ACE #4-18, 27-30, 35
Problem 4.3- pages 53-55 ACE #19-24, 32-33, 36
6.EE.1 Write and evaluate numerical expressions
involving whole-number exponents.
6.EE.2.b (shown above)
Investigation 5 Putting It All Together
Problem 5.1- pages 61-64 ACE #1-25
6.EE.2.b (shown above)
1.05 Develop fluency in the use of
factors, multiples, exponential
notation, and prime factorization.
Prior Knowledge: 1. Learning and applying multiplication and division facts; applying the division algorithm (elementary school) 2. Learning and applying multiplication
facts; counting by 2’s, 3’s, etc. (elementary school) 3. Learning and applying multiplication and division facts; testing numbers for divisibility (elementary school) 4. Applying
multiplication, addition, and division facts; comparing positive whole numbers (elementary school) . (FOUND IN TEACHER’S EDITION ON CONTENT
CONNECTIONS TO OTHER UNITS PAGE)
CMS Curriculum Guides 2011-2012
Honors
Essential Terms Developed in This Unit (FOUND IN TEACHER’S
Useful Terms Referenced in This Unit
EDITION ON PLANNING FOR THE UNIT PAGE)
*All vocabulary is used when teaching honors.
common factor
common multiple
composite number
conjecture
dimensions
(whole number) divisor
even number
exponent
(whole number) factor
factor pair
factorization
greatest common factor
least common multiple
odd number
prime factorization
prime number
proper factor
square number
Venn diagram
abundant number
deficient number
divisible by
distinct
Fundamental Theorem of Arithmetic
intersection
near-perfect number
perfect number
relatively prime
twin primes
Resources (FOUND IN TEACHER’S EDITION ON PROGRAM RESOURCES
EACH BOOK)
Lab-Sheet
CMP2 Website –online &amp; technology resources
Formal Assessment

Check-Ups

Partner Quiz

Unit Test
Assessment Options

Notebook check

Multiple-Choice

Question Bank

ExamView CD-ROM
Parent Guide-Unit Letters
PAGE – BASICALLY THE SAME RESOURCES IN
CMS Curriculum Guides 2011-2012