Goal 1: Identify whether a number is real, rational, irrational, and/or an integer (1-3)
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: 1-3 Part 1 | Converting repeating decimals to fractions (Ask Dr. Math) |
In-class 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 (1-2 and 1-3)
Required tasks/resources | Optional tasks/resources |
Video: Order of Operations (21 min) | Textbook pp. 9 - 12 |
Problem Set: 1-2 | Your notes/resources from 6th and 7th grade |
Problem Set: 1-3 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. (1-4, 1-5, and 1-6)
Goal 4: Define subtraction as the inverse of addition; division as the inverse of multiplication. Apply these definitions to simplify expressions. (1-4, 1-5, and 1-6)
Required tasks/resources | Optional tasks/resources |
Video: Addition and Subtraction (13 min) | Textbook Lessons 1-4, 1-5, and 1-6 |
Problem Set: 1-4 | Your notes/resources from 6th and 7th grade |
Problem Set: 1-5 | "Fractions in a Nutshell" handout |
Video: Multiplication and Division (24 min) | "Decimals Review" handout |
Problem Set 1-6 | "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 (1-7)
Goal 7: Add and subtract like terms; recognize addition and subtraction of like terms as an instance of the Distributive Property. (1-7)
Required tasks/resources | Optional tasks/resources |
Video: The Distributive Property (aka Disobeying the Order of Operations) (15 min) | Textbook Lesson 1-7 |
In-class game: To Distribute, or Not To Distribute? | Algebra Battleship: The Distributive Property practice game |
Problem Set 1-7 | 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. (1-8)
Required tasks/resources | Optional tasks/resources |
Video: More Properties (14 min) | Textbook Lesson 1-8 |
Problem Set 1-8 | "Proof Practice" handout |
Algebraic Properties Review Sheet | "Using Number Properties" handout |
"Properties Practice" handout | "Practice 1-8" handout |
"The Commutative Property" and |
Topic Summary
Required tasks/resources |
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Problem Set: Chapter Test Assignment |
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Optional tasks/resources
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