1. Unit 2 The Unit Organizer Betchan, Strauss, Gonzales Number Sense
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Betchan, Strauss, Gonzales 4
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Number Sense 2
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Rational Number System and Conversions
Multiplying and Dividing Rational Numbers
Operations with Integers 8
UNIT SCHEDULE 5
UNIT MAP
is about...
Unit Launch
solving problems and justifying solutions by
multiplying
positive rational numbers with decimals fluently.
6.3E
Readiness
dividing
Positive rational numbers that are fractions fluently. 6.3E Readiness
Recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values.
6.3A
Supporting
dividing
multiplying
positive rational numbers with decimals fluently.
6.3E
Readiness
Positive rational numbers with fractions fluently.
6.3 E Readiness
Determine whether a quantity is increased or decreased when multiplied by a fraction, 6.3B
Supporting
Unit 2 Test
What is the process for multiplying positive rational numbers? before___ after ____
What is the process for dividing positive rational numbers? before___ after ____
How do you determine if a quantity is increasing or decreasing when multiplied by a fraction? before___ after ____
How do you recognize when dividing by a rational number and multiplying by its reciprocal result in equivalent values? before___ after ____
multiplying 6
UNIT
UNIT SELF-TEST QUESTIONS
dividing
RELATIONSHIPS 7
Rating System: 0, 1, 2, 3 1

2. Multiplying and Dividing rational numbers is about solving problems and justifying solutions by:
Multiplying rational numbers with decimals.
Dividing rational numbers with decimals.
Multiplying rational numbers that are fractions.
Dividing rational numbers that are fractions.
25.7 X.12
Step 1: Count the number of digits behind the decimal.
Step 2: Multiply the numbers like normal.
Step 3: Starting from the right, count to the left the total number of decimal places and put the decimal in the answer. If there are not enough decimal places in the answer, annex zeros.
125 ➗ .25 =
Step 1: The first number (the dividend) goes inside the house. The second number (the divisor) goes outside the house.
Step 2: The divisor can not have any decimals. Move the decimal to the right unit it is a whole number.
Step 3: In the dividend, move the decimal the same number of places from step 2. In this example, the decimal is behind the 5, move the decimal 2 places to the right. In order to do so, we have to add 2 zeros.
Step 4: Divide like normal.
⅗ x ½ =
Step 1: Convert any mixed numbers to improper fractions.
Step 2: Multiply the numerators.
Step 3: Multiply the denominators.
Step 4: Simplify if needed.
¾ ➗ ½ =
Step 1: Convert any mixed numbers to improper fractions.
Step 2: Keep the first fraction the same.
Step 3: Change the operation from division to multiplication.
Step 4: (Flip) Change the second fraction to its reciprocal.
Step 5: Multiply the numerators and the denominators.
(Keep-Change-Flip) KCF
Step 6: Simplify if needed.
I can determine when a quantity will increase when multiplied by a fraction when the fraction is
_____________________________________________________________________________________________________________________
I can determine when a quantity will decrease when multiplied by a fraction when the fraction is _____________________________________________________________________________________________________________________
I can determine when a quantity will stay the same when it is multiplied by

3. solving problems and justifying solutions by

4. positive rational numbers with decimals fluently.
Readiness

5. positive rational numbers with decimals fluently.
Readiness

6. Positive rational numbers with fractions fluently.
6.3 E Readiness
Determine whether a quantity is increased or decreased when multiplied by a fraction, 6.3B
Supporting

7. Positive rational numbers that are fractions fluently. 6.3E Readiness
Recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values.
6.3A
Supporting

8. Multiply
Divide

9. What is the process for multiplying positive rational numbers?

10. (2) What is the process for dividing positive rational numbers?

11. (3) How do you determine if a quantity is increasing or decreasing when multiplied by a fraction?

12. (4) How do you recognize when dividing by a rational number and multiplying by its reciprocal result in equivalent values?

13. multiplying
dividing
multiplying
dividing