Thomas' Learning

September 17 Topic: Using long division to convert fractions into decimals.

Basic video on how to use long division to convert fractions into decimals:
www.youtube.com/watch?v=do_IbHId2Os

More advanced video on how to use long division to convert fractions into decimals:
​www.youtube.com/watch?v=6TDLMkOCQkU
This shows the all the steps already made in the long division process.  Watch the videos posted to the left to see the process.
September 5 Topic: Absolute Value

The absolute value of a number is how far that number is from 0.  It is never a negative number. 
Absolute value signs are vertical lines and look like this: |-4| = 4
Picture
August 31 Topic: Place Value and Numbers in Bases other than 10
With base 10, each place value to the left of the previous place is worth 10 times more.
With base 2, each place value to the left of the previous place is worth 2 times more.  The number below (1001 in base 2) has 1x8 + 0x4 + 0x2 + 1x1 which is equal to 9 (when written in base 10).
August 29 Topic: Adding and Subtracting with a Number Line

We looked at how you can use a number line to show a sum or difference of integers or simple fractions.

Example: 5 - 8 can be thought of as 5 - 5, which is 0.  Then you still have to subtract 3 more, so 0 - 3 = -3.
August 23 Topic: Greatest Common Factor

Video showing how to find the greatest common factor.
www.youtube.com/watch?v=uE9O8N5JYB4

Greatest Common Factor Worksheet (Try #1, 2, 3, 7, 8, 11)
cdn.kutasoftware.com/Worksheets/PreAlg/Greatest%20Common%20Factor.pdf

Also, don't forget to do the review sheet from August 22 that is copied below.
review_8-22-18.pdf
File Size: 47 kb
File Type: pdf
Download File
How to find the greatest common factor of two numbers:
  • Find the prime factors of each number
  • Take all the prime factors that are common to each number and multiply them to get the greatest common factor (GCF)
August 22

For today, please try this review sheet of the types of problems we have worked on so far.  See how much you can do by yourself.  Feel free to look at the notes posted as well if they will help you solve any of the problems.  I will check in with you about the answers tomorrow.
review_8-22-18.pdf
File Size: 47 kb
File Type: pdf
Download File
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
Download File
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
Download File
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
Download File
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
Download File
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