Unit: Prime Time

Essential Question: How do you use the multiplicative structure of numbers to solve problems?

Dear Family,

The next unit in your child’s mathematics class this year is Prime Time. This unit focuses on the properties of whole numbers related to multiplication and division.

Georgia Performance Standards Targeted in the Unit:

M6N1 Students will understand the meaning of the four arithmetic operations as related to positive rational numbers and will use these concepts to solve problems.

a. Apply factors and multiples.

b. Decompose numbers into their prime factorization (Fundamental Theorem of Arithmetic).

c. Determine the greatest common factor (GCF) and the least common multiple (LCM) for a set of numbers.

M6P1 Students will solve problems (using appropriate technology).

M6P2 Students will reason and evaluate mathematical arguments.

M6P3 Students will communicate mathematically.

M6P4 Students will make connections among mathematical ideas and to other disciplines.

M6P5 Students will represent mathematics in multiple ways.

UNIT GOALS

Students will:

  • use factors and multiples.
  • perform prime factorization of a number.
  • determine GCF and LCM for a set of numbers.
  • use problem solving strategies.

Important Concepts / Examples
Divisible – Able to be divided by a number without a remainder. Know Divisibility rules! / 12 is divisible by 4
100 is divisible by 25
Factor – a number that divides into a whole number with a remainder of zero / 5 is a factor of 30
4 is a factor of 24
Multiple – the product of a number and any whole number / 24 is a multiple of 6
16 is a multiple of 4
Prime number – a number with only 1 and itself as factors / Sample prime numbers: 2, 3, 5, 7, 11, 13 …
Composite number – a number that has factors other than itself and 1 / Sample composite numbers: 4, 6, 8, 9, 10, 12, 14, 15 …
Prime factorization – A way of expressing a whole number as a product of its prime factors. / The prime factorization of 24 is 2×2×2×3 or 23×3
Greatest Common Factor – (GCF) The largest factor that is common to two or more numbers
Least Common Multiple – (LCM) The smallest multiple that two or more numbers share

Prime Time

Tentative Class Schedule

Assessments
Date / Lesson/EQ / In-class Activity / Homework / Quizzes and Tests
Fri Aug 26 / What are the divisibility rules for 2, 3, 5, 6, 9, 10? How do you list the factors of a number? / Practice WS / Divisibility and Factors Worksheet
Mon Aug 29 / How do you play the Factor Game? / 1.1 The Factor Game / WB p3
Tue Aug 30 / How do you play the Product Game? / 1.3 The Product Game; Sieve of Eratosthenes / WB p4
Wed Aug 31 / How do I find prime factorizations of numbers? / Factors and Prime Factorization Word Problems / Get Your Prime Factors Here
Thurs Sep 1 / How can I use common multiples and the LCM of numbers? (The listing method) / 3.1 Riding Ferris Wheels and 3.2 Cicada Cycles / WB p9 / Quiz: Divisibility, Prime Factorization
Fri Sep 2 / How can I use common factors and the GCF of numbers? (listing method) / 3.3 Bagging Snacks and 3.4 Planning a Picnic / WB p10
Tue Sep 6 / How do I find and use GCF? (Upside Down Division) / GCF Word Problems / 4-4 Study Guide (C2)
Wed Sep 7 / How do I find and use LCM? (Upside Down Division) / LCM Word Problems / 4-9 Study Guide (C2)
Thurs Sep 8 / How do I use LCM and GCF to solve problems? / Mixed GCF and LCM Word Problems / GCF and LCM Word Problems / How do I use LCM and GCF to solve problems?
Fri Sep 9 / GRASP Testing
Mon Sep 12 / How do I use the multiplicative structure of numbers to solve problems? / Performance Assessment: The Flower Problem / Prime Factorization/GCF/LCM Review / Quiz: GCF and LCM
Tue Sep 13 / How do I use the multiplicative structure of numbers to solve problems? / Review for Test / Study Guide
Wed Sep 14 / How do I use the multiplicative structure of numbers to solve problems? / Special Number Project Due tomorrow! / Test

Please remember that this is a tentative schedule that could change due to any number of factors.

In your child’s notebook, you should find worked-out examples from problems done in class, notes on the unit’s mathematics, class work, and descriptions of the vocabulary words. Since all homework assignments, activities done in class, and quizzes are designed to help students master the standards, when reviewing for tests and quizzes, please refer back to the contents of the notebook. As always, if you have any questions or concerns about this unit or your child’s progress in the class, please feel free to contact us.

Sincerely,

Karen AlexanderLaura Benefield Natalie Fields Kimber McDermid