zMath 160  - Unit 6: Multiplying Fractions and Mixed Fractions; Analyzing Patterns
1)

Following the directions for modeling multiplication of fractions, model 1/4 times 2/3.  Describe the model you created and include an explanation for the answer.


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Multiplying Fractions


2)

Find the product.


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3)

Find the product.


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Find the products for problems #4 through #9. Look for canceling to make the multiplication easier.


4)

Multiply.


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5)

Multiply.


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6)

Multiply.


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7)

Multiply.


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8)

Multiply.


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9)

Multiply.


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Multiplying Mixed Fractions


10)

Multiply. Look for canceling.


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11)

Multiply. Look for canceling.


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Analyzing Patterns


12)

In this geometric design, find a pattern that the artist used to create this design. Recreate this design using rectangular paper. Colored notecards would work nicely here, but if you don’t have them, make your own. The key is to use rectangular pieces of paper that are congruent. Write a rule that would describe the pattern in the design and how to create it.


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Use the colorful border pattern to answer questions #13 through #15.


13)

Study the color splotches in the surrounding colorful border. Look at the pattern in the top row of colors. Where else in the border do you find that pattern?


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14)

Describe how the above pattern flows throughout the design.


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15)

Study the colorful patterns in the other rows. Describe another pattern that you find in the top section that is also found in other places of the design. 


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Review


16)

Find the square root.


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17)

Evaluate.


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18)

Evaluate.


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19)

Find one prime number between 60 and 70.


20)

Find LCM for 14 and 21.


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21)

Estimate the sum. 


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22)

Find the sum. 


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23)

Find the difference. 


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24)

Find the sum. 


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25)

Find the difference. 


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