CMS Curriculum Guides 2011-2012

6th Grade Math

Standard/Standard Plus

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) / Common Core Standards Alignment/Mathematical Practices / Connection to 2003 Standards
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
Problem 1.2- pages 9-11 ACE #8-16
Problem 1.3- pages 11-13 ACE #17-27, 35-37 / 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 theexpression 2(8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two termsdescribed verbally
Mathematical Practices:
3. Construct viable arguments and critique the reasoning of others.
5. Use appropriate tools strategically.
7. Look for and make use of structure. / 1.05 Develop fluency in the use of factors, multiples, exponential notation, and prime factorization.
Investigation 2 Whole Number Patterns and Relationships
Problem 2.1- pages 22-24 ACE #1-9, 22-24; 31, 32
Problem 2.2- pages 24-26 ACE #10-16, 25
Problem 2.3- pages 26- 29 ACE #17-21, 26-30
Math Reflections / 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 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.
7. Look for and make use of structure.
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
Problem 3.3- pages 40-41 ACE #16-23
Problem 3.4- page 41 ACE #24-30 / 6.NS.4 (shown above)
6.EE.2.b (shown above)
Mathematical Practices:
8. Look for and express regularity in repeated reasoning. / 1.05 Develop fluency in the use of factors, multiples, exponential notation, and prime factorization.
Investigation 4 Factorizations
Problem 4.1- pages 49-50 ACE #1-3, 25
Problem 4.2- pages 50-52 ACE #4-18, 27-29
Problem 4.3- pages 53-55 ACE #19-24, 32 / 6.EE.1 Write and evaluate numerical expressions involving whole-number exponents.
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)
Essential Terms Developed in This Unit (FOUND IN TEACHER’S EDITION ON PLANNING FOR THE UNIT PAGE) / Useful Terms Referenced in This Unit
(optional for Standard/Standard Plus)
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
adjacent primes
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 PAGE – BASICALLY THE SAME RESOURCES IN EACH BOOK)

Lab-Sheet

Additional Practice/Skills Worksheets

CMP2 Website –online & 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

Spanish Assessment Resources

PHSchool.com

TeacherExpress CD-ROM

LessonLab Online Courses

Unit Technology Tips

*In place of Investigaton 5, it is recommended to do The Advent Calendar Problem.