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Unit 7 Math Review
What are
      Equivalent Fractions?
  • Fractions that are equal. The number of
    equal pieces are different, but the fraction’s
    value (out of the whole) is the same.


• As an example, think of a two-slice pizza that has
  then been cut into four slices, six slices, etc. The
  size of the original pizza hasn’t changed!
Find Equivalent Fractions
• What is a fraction equal to 1/2 ?
• What is a fraction equal to 2/5 ?
• What is a fraction equal to 15/30 ?
Comparing Fractions

   Which fraction is bigger?
       6/7 or 3/5

     How can you tell?
Comparing Fractions
   continued
   Which fraction is bigger?
       1/5 or 1/7

     How can you tell?
Ordering Fractions
                            75/100
           1/2
                    11/12



Smallest         1/23                Largest

                            1/3
             1
Ordering Fractions
                            75/100
           1/2
                    11/12

                                       1
Smallest         1/23                Largest

                            1/3
Ordering Fractions
                        75/100
           1/2



                              11/12     1
Smallest         1/23                 Largest

                        1/3
Ordering Fractions
           1/2



                        75/100   11/12     1
Smallest         1/23                    Largest

                           1/3
Ordering Fractions


                      1/2   75/100   11/12     1
Smallest       1/23                          Largest

                               1/3
Ordering Fractions


              1/3          1/2   75/100   11/12     1
Smallest            1/23                          Largest
Ordering Fractions


    1/23      1/3   1/2   75/100   11/12     1
Smallest                                   Largest
Finding the ONE
(or the WHOLE)
Finding the ONE
(or the WHOLE)
Finding the ONE
(or the WHOLE)
Fractions in
         Number Stories
Courtney was tired of her collection of 12 teddy
bears. She sold 3/4 of them at a yard sale.

                                     9
How many teddy bears did she sell?


                                           3
How many teddy bears does she have left?
Probability
A sack contains    You reach into the sack
                    and pull out a marble
 4 red marbles     without looking. About
                     what fraction of the
 3 green marbles
                   time would you expect
 2 black marbles      to pull out a black
                           marble?
 5 white marbles

                        2/14 or 1/7
Probability
A sack contains     What percent chance do
                    you have of pulling out a
 4 red marbles            red marble?
 3 green marbles
                   (Use the calculator on your
 2 black marbles      widgets to help you!)
 5 white marbles
                        4 / 14 x 100 = ?

                        Answer: 28.5%
Plotting Coordinate Points
10
9                            Where would you plot (3, 3)?
8
                             Where would you plot (5, 7)?
7
6
                             Where would you plot (9, 0)?
5
4
                             Where would you plot (7, 10)?
3
2
1

      1 2 3 4 5 6 7 8 9 10
Which Fraction is Larger?

          5/6              11/12
                    or

     11/12 is bigger because it is only
      1/12 away from being a whole.
    5/6 is 1/6 away from being a whole.

  Twelfths are smaller pieces than sixths.

  In other words, 1/12 is smaller than 1/6,
       so 11/12 is the larger fraction.
Making Spinners
                               Color the spinner so
                              that it will land on red
                                about 50% of the
                                       time.

                              Color the spinner so
                               that it will land on
                              blue about 1/4 of the
                                       time.

What fraction and percent of the spinner is yellow?
                   1/4 or 25%
Adding and Subtracting
      Fractions
1/5 + 2/5 = 3/5
              3/7
6/7 - 3/7 =
1/6 + 1/3 = 3/6 or 1/2     COMMON DENOMINATOR!



2/3 - 1/4 = 5/12    COMMON DENOMINATOR!
Good luck
mathematicians.
Happy studying!

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Unit 7 Math Review

  • 1. Unit 7 Math Review
  • 2. What are Equivalent Fractions? • Fractions that are equal. The number of equal pieces are different, but the fraction’s value (out of the whole) is the same. • As an example, think of a two-slice pizza that has then been cut into four slices, six slices, etc. The size of the original pizza hasn’t changed!
  • 3. Find Equivalent Fractions • What is a fraction equal to 1/2 ? • What is a fraction equal to 2/5 ? • What is a fraction equal to 15/30 ?
  • 4. Comparing Fractions Which fraction is bigger? 6/7 or 3/5 How can you tell?
  • 5. Comparing Fractions continued Which fraction is bigger? 1/5 or 1/7 How can you tell?
  • 6. Ordering Fractions 75/100 1/2 11/12 Smallest 1/23 Largest 1/3 1
  • 7. Ordering Fractions 75/100 1/2 11/12 1 Smallest 1/23 Largest 1/3
  • 8. Ordering Fractions 75/100 1/2 11/12 1 Smallest 1/23 Largest 1/3
  • 9. Ordering Fractions 1/2 75/100 11/12 1 Smallest 1/23 Largest 1/3
  • 10. Ordering Fractions 1/2 75/100 11/12 1 Smallest 1/23 Largest 1/3
  • 11. Ordering Fractions 1/3 1/2 75/100 11/12 1 Smallest 1/23 Largest
  • 12. Ordering Fractions 1/23 1/3 1/2 75/100 11/12 1 Smallest Largest
  • 13. Finding the ONE (or the WHOLE)
  • 14. Finding the ONE (or the WHOLE)
  • 15. Finding the ONE (or the WHOLE)
  • 16. Fractions in Number Stories Courtney was tired of her collection of 12 teddy bears. She sold 3/4 of them at a yard sale. 9 How many teddy bears did she sell? 3 How many teddy bears does she have left?
  • 17. Probability A sack contains You reach into the sack and pull out a marble 4 red marbles without looking. About what fraction of the 3 green marbles time would you expect 2 black marbles to pull out a black marble? 5 white marbles 2/14 or 1/7
  • 18. Probability A sack contains What percent chance do you have of pulling out a 4 red marbles red marble? 3 green marbles (Use the calculator on your 2 black marbles widgets to help you!) 5 white marbles 4 / 14 x 100 = ? Answer: 28.5%
  • 19. Plotting Coordinate Points 10 9 Where would you plot (3, 3)? 8 Where would you plot (5, 7)? 7 6 Where would you plot (9, 0)? 5 4 Where would you plot (7, 10)? 3 2 1 1 2 3 4 5 6 7 8 9 10
  • 20. Which Fraction is Larger? 5/6 11/12 or 11/12 is bigger because it is only 1/12 away from being a whole. 5/6 is 1/6 away from being a whole. Twelfths are smaller pieces than sixths. In other words, 1/12 is smaller than 1/6, so 11/12 is the larger fraction.
  • 21. Making Spinners Color the spinner so that it will land on red about 50% of the time. Color the spinner so that it will land on blue about 1/4 of the time. What fraction and percent of the spinner is yellow? 1/4 or 25%
  • 22. Adding and Subtracting Fractions 1/5 + 2/5 = 3/5 3/7 6/7 - 3/7 = 1/6 + 1/3 = 3/6 or 1/2 COMMON DENOMINATOR! 2/3 - 1/4 = 5/12 COMMON DENOMINATOR!