Density of numbers - Lesson 2. 7th grade math

1. 1i Develop a logical argument to demonstrate the ‘denseness’ of rationalnumbers. (DOK 3) By: Deia Sanders (Lesson 2)

2. Let’s review from yesterday!! What does “denseness” mean? What is a “rational” number?

3. Let’s review from yesterday!! Name a number that is between and

4. Today we will work with decimals! Steps Write the numbers vertically (A chart is helpful to line up decimals) 2. Add another column of zeros 3. Name the numbers between

5. Example Name a number that is between 2.4 and 2.39. Write the numbers vertically (A chart is helpful to line up decimals) 2. Add another column of zeros 3. Name the numbers between 1. 2 4 . 2 4 . . . 3 2 9 3 2 9 2. 0 0 0 Name the numbers that are between 390 and 400. Remember to use the form of 2.____. 3. (Any number that can be located between the two points will satisfy the condition.)

6. Your question may be written like this… Name a value for x that makes the sentence true. 3.2 < x < 3.28 This sentence is read “3.2 is less than x, and x is less than 3.28.” Write the numbers vertically (A chart is helpful to line up decimals) 2. Add another column of zeros 3. Name the numbers between

7. Try this on your own… Show ALL the steps!!! Name a number that is between 2.7 and 2.66. Write the numbers vertically (A chart is helpful to line up decimals) 2. Add another column of zeros 3. Name the numbers between

8. How would you handle this? Name a number that is between 4.5 and Convert both numbers to the same form. Decimal form is easiest. Write the numbers vertically (A chart is helpful to line up decimals) 2. Add another column of zeros 3. Name the numbers between

9. Pick 2!!! 2.56 Use Handout #1 to mark on number line. 2.7 2.6

10. Assignment: Handout #2 (page 56) Enrichment: Create a drawing explaining density of numbers using only pictures and numbers (no words).