Math-g7-m2-teacher-materials.pdf (pages 1 to 298)
ENGAGENY GRADE 7 MODULE 2 “RATIONAL NUMBERS”
Module Overview ...... 3
Topic A: Addition and Subtraction of Integers and Rational Numbers (7.NS.A.1)...... 19
Lesson 1: Opposite Quantities Combine to Make Zero...... 21
Lesson 2: Using the Number Line to Model the Addition of Integers ...... 32
Lesson3: Understanding Addition of Integers...... 41
Lesson 4: Efficiently Adding Integers and Other Rational Numbers ...... 50
Lesson 5: Understanding Subtraction of Integers and Other Rational Numbers...... 62
Lesson 6: The Distance Between Two Rational Numbers ...... 72
Lesson 7: Addition and Subtraction of Rational Numbers ...... 81
Lessons 8–9: Applying the Properties of Operations to Add and Subtract Rational Numbers ...... 89
Topic B: Multiplication and Division of Integers and Rational Numbers (7.NS.A.2) ...... 115
Lesson 10: Understanding Multiplication of Integers ...... 117
Lesson 11: Develop Rules for Multiplying Signed Numbers ...... 125
Lesson 12: Division of Integers ...... 133
Lesson 13: Converting Between Fractions and Decimals Using Equivalent Fractions ...... 142
Lesson 14: Converting Rational Numbers to Decimals Using Long Division ...... 149
Lesson 15: Multiplication and Division of Rational Numbers...... 159
Lesson 16: Applying the Properties of Operations to Multiply and Divide Rational Numbers ...... 170
Mid-Module Assessment and Rubric ...... 184
Topics A through B (assessment 1 day, return 1 day, remediation or further applications 1 day)
Topic C: Applying Operations with Rational Numbers to Expressions and Equations (7.NS.A.3, 7.EE.A.2, 7.EE.B.4a) ...... 201
Lesson 17: Comparing Tape Diagram Solutions to Algebraic Solutions ...... 203
Lessons 18–19: Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers ..... 218
Lesson 20: Investments—Performing Operations with Rational Numbers ...... 241
Bridgeton: Regular Math Textbook Used (Grade, Title, publisher, copyright date)
Bridgeton NJ School District
GRADE 7 (Chapter 2, 3 ) and GRADE 8 (Chapter 1) engageNY as a RESOURCE “mathematics grade-7” “module 2”
Selecting resources from engageNY to align with present textbook for grade-7 and grade-8 students
Lesson 1 page-Topic: opposite quantities = zero
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 2 page 32-
Topic: Use Number line; model addition
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 3 page 41-
Topic: Understanding addition of integers
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 4 page 50-
Topic: Efficiently add integers and other rational numbers
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 5 page 62-
Topic: Understanding subtraction of integers and other rational numbers
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 6 page 72
Topic: Distance
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 7 page 85
Topic
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 8 page 89
Topic: Apply properties
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 10 page 117
Topic: Multiplication with integers
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 11 page 125
Topic: ÷ with integers
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 12 page 133
Topic: ÷ with integers
Lesson 13 page 142
Topic: Fractions-Decimals -
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 14 page 149
Long Division
Lesson 15 page 159
Topic: x ÷ with rationals
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 16 page 170
Topic:
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 17 page
Topic: Tape diagram & algebraic solutions
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 18 page 218
Topic: Equivalent expressions
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 19 page 227
Topic:
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 20 page 248
Topic: investments
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 21 page 252
Topic: If-then integer number cards
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Lesson 22 page 263
Topic: solve equations with algebra
Intro / Exercise/Practice/Game / Closure / Exit Ticket / Textbook
Mid Module Tasks
Pages 184-189
Answer Key pages
End Module Tasks pages 283-88
Answer Key page 294-
“SPRINTS” – RESOURCES to print out for student use
Use with grade: 7 textbook section/pages ______Use with grade 8 textbook section/pages ______/ Notes to teacher for use
Integer addition
Round-1 p.99
Answer key p.100
Integer addition
Round-2 p.101
Answer key p.102
Integer subtraction
Round-1 p.111
Answer key p.112
Integer subtraction
Round-2 p.113
Answer key p.114
Fluency Exercises Division with integers p.140
Fluency Exercises Integer multiplication
Round-1 p.166
Answer key p. 167
Fluency Exercises Integer multiplication
Round-2 p.168
Answer key p. 169
http://www.regentsprep.org/Regents/math/ALGEBRA/math-ALGEBRA.htm#Number_Theory_
Select “Algebra” / Use with grade 7 textbook section/pages ______Use with grade 8 textbook section/pages ______/ Notes to teacher about use
1- Number Theory
· Property of Real Numbers
· Multiple Choice Practice
2- Pre Algebra
· Rational & irrational numbers
· Oder of Operations
· Signed numbers
· Multiple Choice Practice
http://www.mathopolis.com/questions/skills.php?year=7
Visit this site; review resources, recommend with notes to teachers for use/non-use
Division
Long division
Numbers
Subsets of real numbers
Prime factorization in exponential form
PEMDAS/BODMAS (all operations)
Integers
Add two integers
Negative and zero exponents base ten
Perfect square roots
Calculating square roots
Irrational numbers
Bounds on square roots
Rational v irrational
Place numbers on number line
Scientific notation
Scientific notation to ordinary numbers
Compare numbers in scientific notation
The GCF of 2 or more numbers
LCM of 2 or more numbers
Subtract integers
Compare and order integers from -10 to 10
Perfect cubes
Cube roots using calculator
Bounds on cube roots
Fundamental Theorem of Arithmetic
Decimals
Recurring decimals
http://www.adaptedmind.com/gradelist.php?grade=6
Select “6 Integer Lessons” to Review
Visit this site; review resources, recommend with notes to teachers for use/non-use
http://www.mathgoodies.com/lessons/toc_vol5.html
Integer Properties and Arithmetic
Visit this site; review resources, recommend with notes to teachers for use/non-use
Page 1 of 2 Additional Resources Number Theory + - x ÷ Grades 7 and 8 May 2016 Teacher initials: