Unit Description
The purpose of this
unit is to understand the relationship among factors, multiples, divisors,
and products. It addresses prime and
composite numbers, square numbers, greatest common factors, and least common
multiples.
|
Enduring Understandings
· Understanding numerical
relationships is powerful.
· The exploration of
numbers leads to discovering ways to solve problems.
|
Essential Questions
·
What do the factors and multiples of numbers tell us about
the situations in which they occur?
·
Why is it important to know how numbers are made? How can
this help me solve problems?
·
Why is it important to understand relationships between
numbers?
|
Students will know…
·
Factors (whole number divisors, proper factors, prime
factors)
·
Prime number
·
Composite numbers
·
Number classification (abundant, deficient, perfect,
square)
·
Product
·
Divisor Multiples (the product of a number and another
whole number)
·
Venn Diagram
·
Factor pairs
·
Even numbers
·
Odd numbers
·
Common factors
·
Common multiples
·
Greatest common factor (GCF)
·
Least common multiple (LCM)
·
Factorization
·
Prime Factorization
·
Factor Tree
·
Exponent (representing how many times a factor is repeated
in a factorization)
|
Students will be able
to…
·
Develop problem-solving skills through analysis of games
and situations (e.g., analyzing the Factor Game, solving the Locker Problem)
·
Connect unit concepts to the integers to develop
understandings in elementary number theory (e.g., using concepts of primes
and proper factors to classify numbers as abundant, deficient, perfect, or
square)
·
Identify number patterns (e.g., occurrence of even or odd
numbers follows a pattern, occurrence of prime numbers does not)
·
Represent numbers in multiple ways (e.g., a number can be
represented as a product of factors, can be uniquely represented as a product
of prime factors, or can be represented geometrically as a rectangle)
·
Connect concepts from number theory to real-world
situations (e.g., using factors and multiples to address situations in
society and nature)
·
Develop strategies to find factors of numbers and optimal
techniques for testing numbers for being factorable/prime (e.g., factor
trees)
|
Assessments
·
Performance Task
·
Performance Task Rubric
·
Problem Solving Practice
·
My Special Number Project
·
My Special Number Project Rubric
·
My Special Number Project Criteria
·
Practice Pages 1 – 4
·
Practice Pages 1 – 4 Key
|
·
Prime Time Question Bank
·
Unit Review
·
Unit Test
·
Unit Test Answer Key
·
Unit Test Form A
·
Unit Test Form B
·
Unit Test Modified
|