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# 1i denseness of numbers lesson 2

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Density of numbers - Lesson 2. 7th grade math

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### 1i denseness of numbers lesson 2

1. 1. 1i Develop a logical argument to demonstrate the ‘denseness’ of rationalnumbers. (DOK 3)<br />By: Deia Sanders<br />(Lesson 2)<br />
2. 2. Let’s review from yesterday!!<br />What does “denseness” mean?<br />What is a “rational” number?<br />
3. 3. Let’s review from yesterday!!<br />Name a number that is between<br />and<br />
4. 4. Today we will work with decimals!<br />Steps<br />Write the numbers vertically<br />(A chart is helpful to line up decimals)<br />2. Add another column of zeros<br />3. Name the numbers between<br />
5. 5. Example<br />Name a number that is between 2.4 and 2.39.<br />Write the numbers vertically<br />(A chart is helpful to line up decimals)<br />2. Add another column of zeros<br />3. Name the numbers between<br />1.<br />2<br />4<br />.<br />2<br />4<br />.<br />.<br />.<br />3<br />2<br />9<br />3<br />2<br />9<br />2.<br />0<br />0<br />0<br />Name the numbers that are between 390 and 400. Remember to use the form of 2.____.<br />3.<br />(Any number that can be located between the two points will satisfy the condition.)<br />
6. 6. Your question may be written like this…<br />Name a value for x that makes the sentence true. 3.2 < x < 3.28<br />This sentence is read “3.2 is less than x, and x is less than 3.28.”<br />Write the numbers vertically<br />(A chart is helpful to line up decimals)<br />2. Add another column of zeros<br />3. Name the numbers between<br />
7. 7. Try this on your own…<br />Show ALL the steps!!!<br />Name a number that is between 2.7 and 2.66.<br />Write the numbers vertically<br />(A chart is helpful to line up decimals)<br />2. Add another column of zeros<br />3. Name the numbers between<br />
8. 8. How would you handle this?<br />Name a number that is between 4.5 and <br />Convert both numbers to the same form. Decimal form is easiest.<br />Write the numbers vertically<br />(A chart is helpful to line up decimals)<br />2. Add another column of zeros<br />3. Name the numbers between<br />
9. 9. Pick 2!!!<br />2.56<br />Use Handout #1 to mark on number line.<br />2.7<br />2.6<br />
10. 10. Assignment:<br />Handout #2<br />(page 56)<br />Enrichment: Create a drawing explaining density of numbers using only pictures and numbers (no words).<br />