RATIONAL & IRRATIONAL NUMBER UNIT
UNIT OBJECTIVES: From New Illinois Mathematics Learning Standards 8.NS.1 & 8.NS.2
LESSONS:
1. Identifying Rational & Irrational Numbers
2. Truncating Decimals
3. Converting Terminating Decimals to Fractions
4. Converting Repeating Decimals to Fractions
5. Estimating Square Roots by Hand
6. Ordering Rational & Irrational Numbers
7. Ordering Rational & Irrational Nunmbers on a Number Line
8. Adding & Subtracting Fractions
9. Multiplying & Dividing Fractions
10. Converting Mixed Numbers & Improper Fractions
11. Mixed Number Operations
Reducing Fractions Review: This unit requires reducing fractions, so watch this review if you need to.
- Know that numbers that are not rational are called irrational.
- Understand that every number has a decimal expansion.
- For rational numbers show that the decimal expansion repeats eventually
- Convert a decimal expansions which repeats eventually into a rational number.
- Use rational approximations of irrational numbers to compare the size of irrational numbers
- Locate them approximately on a number line diagram
- Estimate the value of expressions.
LESSONS:
1. Identifying Rational & Irrational Numbers
2. Truncating Decimals
3. Converting Terminating Decimals to Fractions
4. Converting Repeating Decimals to Fractions
5. Estimating Square Roots by Hand
6. Ordering Rational & Irrational Numbers
7. Ordering Rational & Irrational Nunmbers on a Number Line
8. Adding & Subtracting Fractions
9. Multiplying & Dividing Fractions
10. Converting Mixed Numbers & Improper Fractions
11. Mixed Number Operations
Reducing Fractions Review: This unit requires reducing fractions, so watch this review if you need to.