Goal 1: Identify whether a number is real, rational, irrational, and/or an integer (13)
Optional extension: Also identify imaginary, whole, and/or natural numbers.
Required tasks/resources  Optional tasks/resources 
Video: Classifications of Numbers (20 min)  Textbook pp. 17  18 
Problem set: 13 Part 1  Converting repeating decimals to fractions (Ask Dr. Math) 
Inclass activity: Classification of Numbers diagram  Video: Does .999... equal 1? 
Goal 2: Demonstrate thorough knowledge of the order of operations, including grouping
symbols and the absolute value symbol (12 and 13)
Required tasks/resources  Optional tasks/resources 
Video: Order of Operations (21 min)  Textbook pp. 9  12 
Problem Set: 12  Your notes/resources from 6th and 7th grade 
Problem Set: 13 Part 2  Order of Operations online game 
Order of operations jigsaw puzzle  
Additional practice handouts  
"Exponents" and "Zero and Negative Exponents" GSP activities 
Goal 3: Add, subtract, multiply, and divide positive and negative rational numbers (emphasis on fractions, decimals, and mixed numbers). Use these operations in expressions with absolute values and with multiple operations, following the order of operations. (14, 15, and 16)
Goal 4: Define subtraction as the inverse of addition; division as the inverse of multiplication. Apply these definitions to simplify expressions. (14, 15, and 16)
Required tasks/resources  Optional tasks/resources 
Video: Addition and Subtraction (13 min)  Textbook Lessons 14, 15, and 16 
Problem Set: 14  Your notes/resources from 6th and 7th grade 
Problem Set: 15  "Fractions in a Nutshell" handout 
Video: Multiplication and Division (24 min)  "Decimals Review" handout 
Problem Set 16  "Mixed Numbers Review" handout 
"Rational Addition and Subtraction" handout  
"Adding Integers" GSP activity  
"Subtracting Integers" GSP activity  
Video: Why is Negative times Negative Positive?  
Video: On Dividing by Zero 
Goal 5: Recognize when the Distributive Property does and does not apply.
Goal 6: Use the Distributive Property for multiplication, division, and factoring (17)
Goal 7: Add and subtract like terms; recognize addition and subtraction of like terms as an instance of the Distributive Property. (17)
Required tasks/resources  Optional tasks/resources 
Video: The Distributive Property (aka Disobeying the Order of Operations) (15 min)  Textbook Lesson 17 
Inclass game: To Distribute, or Not To Distribute?  Algebra Battleship: The Distributive Property practice game 
Problem Set 17  Algebra Battleship: Like Terms, Distributive Property, and Evaluating (positive numbers only) 
Goal 8: Analyze how properties can be used when simplifying expressions:
• Know the definitions of key properties and the situations in which they apply
• Identify them and give examples. (18)
Required tasks/resources  Optional tasks/resources 
Video: More Properties (14 min)  Textbook Lesson 18 
Problem Set 18  "Proof Practice" handout 
Algebraic Properties Review Sheet  "Using Number Properties" handout 
"Properties Practice" handout  "Practice 18" handout 
"The Commutative Property" and 
Topic Summary
Required tasks/resources 

Problem Set: Chapter Test Assignment 

Optional tasks/resources
