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Number Line using fractions and Line Plot problem












































Please help, my daughter has a winter packet that includes some math problems and unfortunately for the particular problems involving the use of a number line where fractions have to be placed and a problem involving a line plot, I have gotten stuck and am unable to explain how she can solve the problem.

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Dec 26, 2011
Number Line using fractions and Line Plot problem
by: Staff


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Part II


The average of the high and low scores for every row is computed below:


Row 1: average of low and high scores

Average of 4.5 and 5.0 = (4.5 + 5.0)/2 = 4.75

Jill’s 2nd score is listed as: 4.75 (or 4 ¾)



Row 2: average of low and high scores

Average of 3.33 and 3.67 = (3.33 + 3.67)/2 = 3.5

Jill’s 5th score is listed as: 3.5 (or 3 ½)



Row 3: average of low and high scores

Average of 3.5 and 3.75 = (3.5 + 3.75)/2 = 3.63

Jill’s 4th score is listed as: 3.67 (or 3 ⅔)



Row 4: average of low and high scores

Average of 4.67 and 5.0 = (4.67 + 5.0)/2 = 4.84

Jill’s 3rd score is listed as: 4.83 (or 4 ⅚)



Row 5: average of low and high scores

Average of 2.75 and 3.125 = (2.75 + 3.125)/2 = 2.94

Jill’s 1st score is listed as: 3.0 (or 3)




The final answers are shown on the following link. Keep in mind that there will be more than one set of answers.

The bonus question (high score of 5, low score of 4 2/5, and Jill’s score of 4 ⅔) has an infinite number of answers.

(1) If your browser is Firefox, click the following link to VIEW; or if your browser is Chrome, Internet Explorer, Opera, or Safari (2A) highlight and copy the link, then (2B) paste the link into your browser Address bar & press enter:

Use the Backspace key to return to this page:

http://www.solving-math-problems.com/images/Math-Grade_4_2011-pg4-final-2011-12-26-01.png




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Page 5 of winter packet

The final answers are shown on the following link.


(1) If your browser is Firefox, click the following link to VIEW; or if your browser is Chrome, Internet Explorer, Opera, or Safari (2A) highlight and copy the link, then (2B) paste the link into your browser Address bar & press enter:

Use the Backspace key to return to this page:

http://www.solving-math-problems.com/images/Math-Grade_4_2011-pg5-2011-12-26-02.png



Thanks for writing.


Staff
www.solving-math-problems.com


Dec 26, 2011
Number Line using fractions and Line Plot problem
by: Staff


Part I

Question:

Please help, my daughter has a winter packet that includes some math problems and unfortunately for the particular problems involving the use of a number line where fractions have to be placed and a problem involving a line plot, I have gotten stuck and am unable to explain how she can solve the problem.


Answer:

Merry Christmas!

The entire 4th grade winter packet for Prince George's County Public Schools can be downloaded in PDF format from:

http://www1.pgcps.org/curriculum/index.aspx?id=76512

(Scroll down to Fourth Grade and click on “Math Grade_4_2011” to download)


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Page 4 of winter packet

Probably the easiest way for your daughter to compare the scores on page 4 of the winter packet is to CONVERT every NUMBER inTO its DECIMAL EQUIVALENT, and then compare the numbers.

(In the State of Maryland, fourth grade students are familiar with how to convert fractions to decimals. You can download the Math Standards for grade 4 from: http://mdk12.org/share/frameworks/CCSC_Math_gr4.pdf. You can download the Math Standards for any grade level from using the links on the following page: http://mdk12.org/instruction/curriculum/mathematics/index.html)


Remind your daughter that she can convert any fraction into its decimal equivalent by dividing the numerator by the denominator.

For example, the first lowest score listed on page 4 of the winter packet is 4 ½.

To convert 4 ½ to its decimal equivalent:

4 ½

= 4 + ½

= 4 + (1 ÷ 2)

= 4 + 0.5

4 ½ = 4.5

I have converted all of the scores on page 4 of the winter packet to their decimal equivalents. Your daughter can try some conversions and compare her work with the answers listed on the following link:


(1) If your browser is Firefox, click the following link to VIEW; or if your browser is Chrome, Internet Explorer, Opera, or Safari (2A) highlight and copy the link, then (2B) paste the link into your browser Address bar & press enter:

Use the Backspace key to return to this page:

http://www.solving-math-problems.com/images/Math-Grade_4_2011-pg4-decimals-2011-12-26-03.png


Once your daughter has all the decimal equivalents, it’s just a matter of fitting Jill’s scores in between the highest and lowest scores for each row.

Some of Jill’s scores will fit in more than one row. However, she can only use each of Jill’s scores once, so it becomes a game of elimination.

If your daughter follows this approach, she will find that one of Jill’s scores falls roughly half way in between the low and high scores on every row. In other words, one of Jill’s scores is close to the average of the high and low scores on every row.


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Dec 26, 2011
Thanks so much!
by: Anonymous

Wow!! I received a response so quickly and am so grateful to have found this website. Thanks so much. All I needed was a refresher so that I could guide my daughter in the right direction with her winter packet. As parents we are careful not to solve the problems for her but to help and explain the basis so she understands to concept to be able to solve the problems on her own.

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