1. Lesson 2.1 Rational Numbers
Students will be able to understand that a rational number is an integer divided by an integer. Students will be able to convert rational numbers to decimals.
CCSS.7.NS.2b; CCSS. 7.NS.2d

2. REAL NUMBERS
RATIONAL NUMBERS
IRRATIONAL NUMBERS

3. Rational Numbers
can be written as a ratio (fraction) of two integers. (proper fractions, improper fractions, or mixed numbers)
Can written in decimal form: terminating decimal or repeating decimal.
Can be written as an integer
Can be written as a percent
square roots of perfect squares (doubles)

4. Natural Numbers
Only positive numbers that does not include zero Example : 1, 2, 3, 4...

5. Whole Numbers
Numbers that start with zero and go all the way to positive whole numbers. Example: 0, 1, 2, 3, …

6. Integers
Whole numbers that are negative, positive, and zero. Integers can also be written as a fraction. Example: 3= 3 1 (putting a 1 in the denominator does not change the original value)

7. Fractions Proper Fraction: 2 3 Improper Fraction: 15 2
Mixed Number: −2 1 3
IMPORTANT: Your denominator cannot be a zero or else it is NOT a rational number.
Example: 𝑖𝑠 𝑁𝑂𝑇 𝑎 𝑟𝑎𝑡𝑖𝑜𝑛𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟.

8. Terminating Decimals
A terminating decimal is a decimal that ends. Examples: 1.3, , 0.134

9. Repeating Decimal
A repeating decimal is a decimal that repeats. Example: … = −1. 3 Example: … = Example: … = −

10. Math Word Sort

11. DAY 2

12. Examples of Rational Numbers16
3 5
3.56 -8
1.3333…
−13 3

13. Write a Decimal as a Fraction
−0.7= −1.12=
0.125= 0.75=

14. Write a Rational number as a Decimal
− 1 12 = −1 1 8 =
2 2 5 = 2 3 =

15. Ordering Rational Numbers

17. The table shows the changes from the average water level of a pond over several weeks. Order the numbers from least to greatest.