1. EVERYDAY MATH GRADE 4 Lesson 4.3 Comparing and Ordering Decimals Objective: To guide students as they compare and order decimals in tenths and hundredths.

2. ORDERING DECIMALS  How would we order decimals?  For example.. If I had the following numbers, .38.386.45.9.143  How would I put them in order from least to greatest?  FIRST – I would look at the TENTHS place number.  I would put those into order. .143.38 &.386.45.9

3. LIKE ALPHABETIZING WORDS  This is similar to alphabetizing, in that if I order words such as  Bite, buzz, buffet, and beam  I would begin with the first letter (b) and note that they are all the same. Then I would go to the second letter and order from there..  Beam, bizz,buffet & buzz  Then I would go to the next letter and order them. I only need to order the two words that have similar lettering.  Beam, bite, buffet, buzz (because f in buffet, comes before z in buzz)

4. .143.38 &.386.45.9  Then I would look at the HUNDREDTHS place digit.  Then the thousdandths place if needed. .143.380.386.45.9  Note the added 0 after the.38. I did this to keep track of my place value digits. I know that 0 is less than 6 so it comes first when ordering from least to greatest.  You try! .456.45.386.490.543

5. GREATER THAN AND LESS THAN  How would you show that.3 >.15 ?  Open your math workbooks to Page 82 Using base 10 blocks – show.3 and.15.3 is 3/10 and 3 longs on the blocks..15 is 15/100 and it is 15 cubes. Since 3 longs is more than 15 cubes,.3 is greater than.15 Use base 10 blocks to complete this page.

6. HOW DO YOU CONVERT FRACTIONS TO DECIMALS?  NOTE: In your math ISN’s you all have a foldable that tells you how to do this.  The fractions ¾ ⅚ ⅙ ⅖ ⅞ ⅝ ⅜  Can be converted to decimals by dividing the denominator (the bottom number) into the numerator (the top number)  3/4=.75 1/6=  ¼ =.252/5=  ½ =.507/8= 

7. HOW DO YOU CONVERT ?  If you have a decimal, how do you convert back to a fraction?  Place your decimal over the number 1.  For example.75 becomes.75/1  Multiply both the numerator and the denominator by 100 (because the decimal goes into the hundredths place) .75 = 75Now we have the fraction 75/100  1 = 100  Simplify this fraction as many times as necessary.. You will get ¾.  Visit http://www.mathsisfun.com/converting-decimals-fractions.html for a nicely done example!http://www.mathsisfun.com/converting-decimals-fractions.html

8. HOW DO WE SIMPLIFY FRACTIONS?  Take the fraction from the previous page.. 75/100  REMEMBER THAT WHAT YOU DO TO THE TOP YOU MUST DO TO THE BOTTOM (AND VICE VERSA)  75 (I’M THINKING THAT I KNOW MY DIVISIBILITY RULES HERE)  100(5 CAN GO INTO BOTH OF THESE!)  75 / 5 = 15 (AGAIN, I KNOW THAT 5 CAN GO INTO BOTH!)  100 / 5 = 2015/5 = 3 20 / 5 = 4

9. PARTNER ACTIVITY  In your Math ISN’s…  Create 2 columns.. Label one decimals and the other fractions..  Write 10 decimal numbers (base of 10 or 100 only please)  Swap with a partner, have your partner write the fraction equivalent in the correct column.  Then… Write 10 fractions in their ISN… swap back and have your partner write in the decimal equivalents to those fractions in the correct column.

10. INDEPENDENT ACTIVITY  Complete the math boxes on page 84 independently.

11. HOMEWORK  Page 112 – Ordering Decimals is the homework for this lesson Enrichment: Write and solve decimal riddles similar to the one on your workbook page 83.