Thomas' Learning

August 18 Topic: Multiplying Fractions and Using Cross Cancellation to Simplify

Video on how to cross simplify (or cross cancel)
www.youtube.com/watch?v=XejAHHqj-Yw
​
Multiplying fractions worksheet (try all problems and make sure to completely simplify the fractions)
The answers are on the last page.
multiplying_fractions.pdf
File Size: 25 kb
File Type: pdf
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To simplify fractions being multiplied:
  • Check if you can divide a number in the top part and a number in the bottom part by the same number.  If so, you can simplify the fraction that way.  
  • Next, multiply across to get your answer.
August 17 Topic: Adding and Subtracting Mixed Numbers

Adding mixed numbers worksheet (do problems #1 through 5)
​The answers are listed on the bottom of the PDF.
adding_mixed_numbers.pdf
File Size: 27 kb
File Type: pdf
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Subtracting mixed numbers (try problems #1, 2, 4, 5, 6)
​The answers are listed on the bottom of the PDF.​
subtracting_mixed_numbers.pdf
File Size: 26 kb
File Type: pdf
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Steps to add or subtract mixed numbers:
  • Make them improper (or regular) fractions
  • Make a common denominator
  • Add or subtract the numerator but keep the same denominator
  • Simplify the fraction you end up with if you can, or turn it into a mixed number if you need to
August 16 Topic: Continuation of turning mixed numbers into improper fractions / adding and subtracting fractions

Video on turning improper fractions into mixed numbers
​www.youtube.com/watch?v=GpumUOiGS6Q

Video on turning mixed numbers into improper fractions
​www.youtube.com/watch?v=TrutPJf9GmQ

Converting between improper fractions and mixed numbers (try #1, 4, 7, 10, and 13 for both the top and bottom set of questions on the PDF below)
converting_improper_fractions_and_mixed_numbers.pdf
File Size: 32 kb
File Type: pdf
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August 15 Topic: Turning mixed numbers into improper fractions / adding and subtracting fractions

For today, please just watch these videos and try the problems along with the presenter in the video.  I will give you problems to do on a worksheet tomorrow.

Video on turning mixed numbers into improper fractions
www.youtube.com/watch?v=qk2oP6FZ6HA

Video on adding fractions with unlike denominators.
www.youtube.com/watch?v=bcCLKACsYJ0

Video on subtracting fractions with unlike denominators.
​www.youtube.com/watch?v=2DPivVFCdqA
In order to add or subtract fractions, you need to:
  • Make sure all the fractions are written as a regular fraction or improper fraction first (not as a mixed number).  If they are a mixed number, turn them into the regular or improper fraction form.
  • Make common denominators.
  • Add the numerators and keep the same denominator.
  • Simplify the result if possible or turn it into a mixed number if it make sense to do so.  Example: 10/6 could be written as 5/3, which could also be written as 1 and 2/3.
August 10 Topic: Plotting points on a coordinate grid

Watch this video (only until 5 minutes 30 second) that reviews how to plot points or write the coordinates of points.
www.youtube.com/watch?v=s7NKLWXkEEE

Do the ODD numbered problems on the PDF link below, and check your answers.
plotting_points.pdf
File Size: 42 kb
File Type: pdf
Download File
August 7 Topic: Proportions

Key vocabulary words to memorize
  • Ratio: a comparison of values. Examples:
    • 4:5
    • 4/5 
    • 4 eggs to 5 cups of milk
  • Rate: a ratio that compares values with two different units.
    • 8 free throws made to 15 free throws taken
    • 6 laps/10 minutes
  • Unit rate: a rate with a denominator of 1.
    • 20 miles per hour (which can be written as 20 miles / 1 hour)
    • 4 questions/1 minute
  • Proportion: equal ratios. 
    • 3/4 = 6/8
    • 30 miles / 6 minutes = 15 miles / 3 minutes

When solving a proportion, one method you can always use is this set up:
Picture
x represents the value you are trying to find.  After filling in the three blank spots, multiply both sides by the number under x, which will get x by itself.  Then simplify the fractions on the other side and you will have your answer to what x is equal to.

Homework Questions
Do problems #1, 5, 7, 10, 12, 17, 18 on the link below.  You can use a calculator for #17 and 18.  Try using the method shown above, as well as other methods that you think might work or make sense to you.  To check your answers, look at the last two pages of the PDF.
cdn.kutasoftware.com/Worksheets/PreAlg/Proportion%20Word%20Problems.pdf