UNIT 1
Title: Number and Operations
Topic: Number Sense
Subject/Course: Math
Grade: 6
UNIT GOALS AND EXPECTATIONS
IMPORTANT CONCEPTS/UNDERSTANDINGS:
o Order of operations can be used to solve realworld problems.
• Every whole number greater than one is either a
prime number or can be uniquely factored as a
product of primes.
• Successful problem solvers posses a set of core
beliefs that support their work: problem solving
is important, takes significant time and repeated
efforts, and requires reflection.
• How to write all the factor pairs of a number.
Length:
Designer: Davis/Boyd
ESSENTIAL QUESTIONS:
o Why are mathematical rules necessary?
• How can a number be broken down into its
smallest factors?
• What are the specific strategies that have wide
application in attacking problems and can help
in problem solving?
• How do you square a number?
• How do you estimate the square root of a
number?
• What are the numbers that need to be used to
determine if a given number is prime or
composite?
STUDENT LEARNING EXPECTATIONS:
NO.2.6.1 – Use divisibility rules to determine if a
number is a factor of another number
NO.2.6.4 – Apply the rules for order of operations to
whole numbers with and without parentheses.
NO.3.6.1- Apply with and without appropriate
technology, algorithms with computational fluency to
per form whole number operations (mult. & div).
) to determine the greatest common factor and least
common multiple
NO.3.6.3 – Solve, with and without appropriate
technology, multi-step problems using a variety of
methods and tools
NO.3.6.5 – Find and use factorization(tree diagram)
including prime factorization of composite
numbers(expanded and exponential notation) to
determine the greatest common factor and least
common multiple
SPECIFIC DECLARATIVE KNOWLEDGE – What I
know
SPECIFIC PROCEDURAL KNOWLEDGE – What I need to
do
o
Explain vocabulary words: order of operations,
divisibility, prime number, composite number,
prime factorization, factor, factor tree, least
common multiple, greatest common factor
o Know the divisibility rules for 2, 3, 4, 5, 6, 9, 10
o Identify prime and composite numbers
o Identify different computation symbols
o
Solve whole number operations using
appropriate algorithms
o Apply the divisibility rules for 2, 4, 3, 6, 9,
and 10 to given numbers
o Find prime factorization
o Write prime factorization with and without
exponents
o Use prime factorization of two numbers to
find the greatest common factor and least
common multiple
UNIT ASSESSMENTS
(Include tasks related to Dimensions 3 and 4 and Bloom’s Taxonomy)
Unit 1 Open Response
Unit 1 Open Response
Unit 1 Open Response
Traditional Assessments:
o TLI Module 1 Assessment
o TLI Module 1Open Response
o Unit 1 Vocabulary Quiz
o Unit 1 Quizzes
o Divisibility Quiz
Other Evidence of Learning:
o Homework
o Classwork
o Warm-up Problems
ACTIVITIES AND LEARNING EXPERIENCES
Compute whole number operations
o Warm –up problem
o T will model multiplying 4-digit by 3digit
o S will use grid paper to help align digits
o Warm-up problem
o T will model dividing by 2-digit numbers
o S will use grid paper to help align digits.
Use the order of operations
o warm-up problems-review exponents
o T will give mnemonics for how to perform operations
o S will complete equations by using smartboard activity.
Apply divisibility rules
o 3 X 3 activity-list three things you know about divisibility
o S will learn vocabulary using the 4-step vocabulary
process(divisibility)
o Review divisibility rule for 2, 5, & 10
o T will model rules for 3, 6, 4, & 9
o S will interact with smartboard to complete divisibility
activity
o S and T will model solving real-world problems using
divisibility rules
Write a composite number as the product of prime factor
o Warm-up problem
o S will learn vocabulary using the 4-step vocabulary process
(prime, composite)
o T will model composite and prime numbers
o S will find all prime numbers on 100 chart by using divisibility
rules
o Warm-up problem –write exponential form in expanded form
o S will learn vocabulary using the 4-step process(prime
factorization, factor, factor tree)
o T models how to create factor tree using divisibility rules.
o S complete factor tree using online activity
Resources
o 4-step vocabulary
sheets
o Grid paper
o Text book 24-27
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o
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www.harcourtschool.com/
activty/elab2004/gr6/10.ht
ml
Text book 48-51
www.harciourtschool.c
om-Ice Station
Exploration-Arctic
Algebra, Levels M, N
Textbook pg.164-165
Find the least common multiple and greatest common factor of
numbers.
o S will do warm-up - Buzz Game
o S will learn vocabulary using the 4-step process(least common
multiple, greatest common factor)
o T models two ways to find LCM
o T and S will practice finding LCM
o S and T will model solving real-world problems using LCM
o S will do warm-up problem
o T models two ways to find GCF
o T and S practice finding GCF
o S and T will model solving real-world problems using GCF
Career Connections
Carpenter, plumber,
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Text book 166-173
Hundreds chart
www.mathgoodies.com/le
ssons/vol3/gcf.html