Download 9-26 to 9-30 Rational Numbers Multiplication

Teacher(s):
Grade/Subject: MJ 2
Unit 2
Rational Number Operations—Multiplication and Division
Days 1-5 of 5
days
Florida Standard(s):
Benchmarks, descriptions,
DOK levels, standards
unpacked (know/do)
highlighted
Learning Goal:
Essential Question
Dates:
September 26 – September 30
MAFS.7.NS.1.2(DOK 2): Apply and extend previous understandings of
multiplication and division and of fractions to multiply and divide rational
numbers.
a. Understand that multiplication is extended from fractions to rational
numbers by requiring that operations continue to satisfy the properties of
operations, particularly the distributive property, leading to products such
as (–1)(–1) = 1 and the rules for multiplying signed numbers.
b. Interpret products of rational numbers by describing real- world
contexts.
c. Understand that integers can be divided, provided that the divisor is not
zero, and every quotient of integers (with non-zero divisor) is a rational
number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret
quotients of rational numbers by describing real-world contexts.
d. Apply properties of operations as strategies to multiply and divide
rational numbers.
e. Convert a rational number to a decimal using long division; know that
the decimal form of a rational number terminates in 0s or eventually repeats.
 Recognize that the process for multiplying fractions can be used to multiply
rational numbers including integers.
 Know and describe the rules when multiplying signed numbers.
 Explain why integers can be divided except when the divisor is 0.
 Describe why the quotient is always a rational number.
 Know and describe the rules when dividing signed numbers, integers.
 Recognize that –(p/q) = (-p)/q = p/(-q)
 Identify how properties of operations can be used to multiply and divide
rational numbers.
 Convert a rational number to a decimal using long division.
 Explain that the decimal form of a rational number terminates (stops) in
zeroes or repeats.
 Apply the properties of operations, particularly distributive property to
multiply rational numbers.
 Interpret the products of rational numbers by describing real-world
contexts.
 Interpret the quotient of rational numbers by describing real-world
contexts.
 Apply properties of operations as strategies to multiply and divide rational
numbers.
Students will understand operations to multiply and divide rational numbers in order
to analyze and solve real world problems.
 How do operations with integers compare to operations with whole numbers?
 What kinds of numbers make up the set of rational numbers?
 Does the order in which you perform a mathematical operation matter?
 How can you tell when it is best to use a fraction or a decimal?
Assessments
Pre-assessment 5 Problems from 2-4 Practice B
Formative Assessments Mini assessment Got It? Holt Pg 61, 2-4 Integers
Multiplying and Dividing Integers.
Unit Assessment.
Summative Assessments Teacher observation, student binders, and math
journal.
Writing in Math: Writing Connections

Write to explain why the product of two negative values results in a positive
value.
 If I have a negative quotient, what must be true about the signs of the dividend
and/or divisor? What must be true if the quotient is positive?
 Explain your process.
 Justify your answer.
Progress Monitoring/ Eduphoria, Mini Assessments, Rubrics and Scales, Student self-monitoring and reflections
Feedback Loop
Higher Order Question(s)  Why does the decimal form of a rational number either terminate in zeros or
repeat?
 Why can integers not be divided by 0?
 Why is the quotient always a rational number?
 How can properties of operations be used to multiply and divide rational
numbers?
 How do we determine if the product of two signed numbers will be positive or
negative?
 Why does the product of two negative values result in a positive value?
Key Vocabulary Absolute value, Integers, Repeating Decimal, Terminating Decimal, Rational Numbers, Order of
Operations, Associative Property, Commutative Property, Distributive
Monday 9/26
Unit: 1
Rational Number Operations—Multiplication and
Division
Rigor Level
DOK 2
Daily Agenda
Daily MAFS.7.NS.1.2(DOK 2): Apply and extend previous understandings of multiplication and
Objective division and of fractions to multiply and divide rational numbers.
BELL RINGER 
I DO: 

WE DO: 

YOU DO: 

Homework 
EXIT TICKET: 
(5 minutes)
Prerequisite skills check, on screen
Review vocabulary
Review rules for multiplying integers
Discuss Module 3 standards
Review how to multiply rational numbers page 83-85 Examples
Unpack standards 7.NS.1.2a and c
Page 86 11-17
Unfinished classwork
Summarize lesson
Unit: 1
Tuesday 9/27
Rational Number Operations—Multiplication and
division
Rigor Level
DOK 2
Daily Agenda
Daily MAFS.7.NS.1.2(DOK 2): Apply and extend previous understandings of multiplication and
Objective division and of fractions to multiply and divide rational numbers.
BELL RINGER 
See screen
I DO:
WE DO: 
YOU DO: 

Homework 
EXIT TICKET: 
(5 minutes)
Review rules for dividing integers
Divide Integers Examples page 44-45.
Think Pair Share Page 87 #s 20-22, Page 88 #s 25-26
Think Pair Share Page 46 #s 15-19 odd
Unfinished classwork
Summarize the lesson
Wednesday 9/28
Unit: 1
Rational Number Operations—Multiplication and
division
Rigor Level
DOK 2
Daily Agenda
Daily MAFS.7.NS.1.2(DOK 2): Apply and extend previous understandings of multiplication and
Objective division and of fractions to multiply and divide rational numbers.
BELL RINGER 
See screen
I DO: 
WE DO: 

YOU DO: 
Homework 
EXIT TICKET: 
(5 minutes)
Review Bellringer
Review Page 46.
Divide Rational numbers examples page 91
Think Pair Share page 92 #s 9-12
Unfinished classwork
Rate yourself on your rubric
Unit: 1
Thursday 9/29
Rational Number Operations—Multiplication and
division
Rigor Level
DOK 2
Daily Agenda
Daily MAFS.7.NS.1.2(DOK 2): Apply and extend previous understandings of multiplication and
Objective division and of fractions to multiply and divide rational numbers.
BELL RINGER 
I DO:
WE DO:
YOU DO:
Homework
EXIT TICKET:
(5 minutes)





See screen
Review Multiplication and Division
Complete study guide for quiz on Multiplying and dividing rational numbers
Study for quiz
Rate yourself on your rubric
Unit: 1
Friday 9/30
Rational Number Operations—Multiplication and
division
Rigor Level
DOK 2
Daily Agenda
Daily MAFS.7.NS.1.2(DOK 2): Apply and extend previous understandings of multiplication and
Objective division and of fractions to multiply and divide rational numbers.
BELL RINGER 
I DO:
WE DO:
YOU DO:
Homework
EXIT TICKET:
(5 minutes)





See screen
Review quiz instructions
Complete Quiz
Log off computer
Mathematical Principal Standards
MAFS.K12.MP.1.1: Make sense of problems and persevere in solving them. MAFS.K12.MP.2.1: Reason abstractly and
quantitatively. MAFS.K12.MP.4.1: Model with mathematics. MAFS.K12.MP.7.1: Look for and make use of structure.
Resources include: www.classzone.com Supplemental Resources 7th Grade Flip Book – A user-friendly resources for
understanding the specifications of the Common Core Standards. MARS Classroom Challenge: Steps to Solving Equations
- A Formative Assessment Lesson with all necessary materials which may be used to help students understand and use
directed numbers in context. Generating Equivalent Expressions  McDougal Littell 7.1-7.2  Engage NY Grade 7 Module
3: Lesson 1 & 2 Expressions and the Distributive Property  Engage NY Grade 7 Module 3: Lesson 3 & 4 Use Identity &
Inverse to Write Equivalent Expressions  Engage NY Grade 7 Module 3: Lesson 5 Collecting Rational Number Like Terms
 Engage NY Grade 7 Module 3: Lesson 6 Creating Equations to Solve Word Problems  McDougal Littell 7.3-7.5  Engage
NY Grade 7 Module 3: Lesson 7
Learning Scales and Accommodations:
Noun Verb
OPERATIONS AND ALGEBRA
Expressions and Equations
Grade 7
Score 4.0 In addition to score 3.0 performance, the student demonstrates in-depth inferences and applications that go beyond what was taught.
Score 3.5 In addition to score 3.0 performance, partial success at score 4.0 content
Score 3.0 The student will:
• Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients (7.EE.A.1)
• Rewrite expressions in different forms in a problem context to demonstrate how quantities are related
same as “multiply by 1.05”) (7.EE.A.2)
Score 2.5 No major errors or omissions regarding score 2.0 content, and partial success at score 3.0 content
Score 2.0 The student will recognize or recall specific vocabulary, such as:
• Add, coefficient, expand, expression, factor, linear, operation, property, quantity, rational, relate, strategy, subtract
The student will perform basic processes, such as:
• Apply properties of operations to simplify linear expressions with rational coefficients
Score 1.5 Partial success at score 2.0 content, and major errors or omissions regarding score 3.0 content
Score 1.0 With help, partial success at score 2.0 content and score 3.0 content
Score 0.5 With help, partial success at score 2.0 content but not at score 3.0 content
Score 0.0 Even with help, no success
WICR Strategies used during each unit.
Writing
Writing activities that help
students understand the
content
Inquiry
Questioning strategies
that help students
understand the content
Writing-to-Learn
• summaries
Process writing
• using a rubric as evaluation
On-demand/Timed writing
• writing that is completed in
class within a set amount of
time
• grade is evaluated using a
rubric
Cornell Notes
• taking notes on the most
important information
• summarizing
• using the notes to study
Reflective writing
• students write about what
they have learned and what
they still need
Higher level questioning
in classes
• Costa’s Level 1: Students
find the answers right there
in the text.
Collaboration
Working together with a
partner or in a group of
students to understand, to
problem solve, or to
complete a task/project
Think Pair Share
Sharing ideas with a
partner or in a group
Carousel/Gallery Walk
• Costa’s Level 2: Students
must figure out the answer
from information in the
text.
Problem solving in groups
Reading
Any strategies in reading
that help students
understand
Before reading activities
• vocabulary activities
• accessing prior knowledge
• making predictions
During reading activities
• marking the text
• Cornell notes
• graphic organizers
Projects in groups
After reading strategies
• summarizing
• group projects
• Costa’s Level 3: Students
apply what they have
learned or use what they
have learned to evaluate or
create.
Accommodations used daily on an individual basis in accordance with IEP and 504 plans and ELL Students
 Read directions for the
student
 Allow student time to step
out to de-escalate
 Extended time on
assignments =1 day
 Read Aloud to Students
 Visual manipulatives
 Check for understanding
 Allow to leave class for
assistance
 Extra time for exams
 Daily agenda
 Testing in small groups
 Use of a planner/binder for
organization
 English Language Dictionary
 Preferential seating
 Written direction given
 Break directions into
chunks
 Cooperative Learning,
 Vocabulary, Description,
Introduction,
.