Unit 10: Number Systems (Integer Operations)
Duration of Days: 15
1. How do the properties of operations (commutative, associative, distributive, and identity) apply when working within the rational number system?
2. What is the concept of an additive inverse, and why is the sum of a number and its opposite always zero?
How can subtraction be defined as the addition of an additive inverse, and how do we represent this using a formula?
3. What is the relationship between integers and rational numbers, and why is every quotient of integers (with a non-zero divisor) considered a rational number?
1. Interprets rational number values on a number line, including modeling addition and subtraction expressions.
2. Applies properties of operations as strategies to add and subtract rational numbers.
3. The student applies properties of operations as strategies to multiply and divide rational numbers.
4. The student converts from a fractional form of rational numbers to a decimal form of rational numbers.
5. Solves real-world and mathematical problems involving the four operations with rational numbers.
Formative and Summative Assessments.
| Lesson # | Lesson Title | Duration of Days |
|---|---|---|
| 1 | Multiply and Divide Integers | 5 |
| 2 | Add and Subtract Integers | 5 |
| 3 | Multiply Negative Monomials and Combine Like Terms | 5 |