1. Topic-
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Operations with Rational Numbers |
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2. Content-
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opposite, absolute value, absolute value, rational number, integer,
rational number, additive inverse, commutative property, associative
property, distributive property, integer, terminating decimal, rational
number, commutative property, associative property, sum, difference,
product, quotient
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3. Goals: Aims/Outcomes-
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Domain: Operations with Rational Numbers (7.NS)
Clusters: Apply and extend previous understandings of numbers to the
system of rational numbers.
Standards:
7.NS.1: APPLY and EXTEND previous understandings of addition and subtraction
to add and subtract rational numbers; REPRESENT addition and subtraction
on a horizontal or vertical number line diagram.
DESCRIBE situations in which opposite quantities combine to make 0.
For example, a hydrogen atom has 0 charges because its two constituents
are oppositely charged.
UNDERSTAND p + q as the number located a distance |q| from p, in the
positive or negative direction depending on whether q is positive
or negative. SHOW that a number and its opposite have a sum of 0 (are
additive inverses). INTERPRET sums of rational numbers by describing
real-world contexts.
UNDERSTAND subtraction of rational numbers as adding the additive
inverse, p "� q = p + ("�q). SHOW that the distance between two rational
numbers on the number line is the absolute value of their difference,
and APPLY this principle in real-world contexts.
APPLY properties of operations as strategies to add and subtract rational
numbers.
7.NS.2: APPLY and EXTEND previous understandings of multiplication
and division and of fractions to multiply and divide rational numbers.
UNDERSTAND that multiplication is extended from fractions to rational
numbers by requiring that operations continue to satisfy the properties
of operations, particularly the distributive property, leading to
products such as ("�1)("�1) = 1 and the rules for multiplying signed
numbers. INTERRUPT products of rational numbers by describing real-world
contexts.
UNDERSTAND that integers can be divided, provided that the divisor
is not zero, and every quotient of integers (with non-zero divisor)
is a rational number. If p and q are integers, then "�(p/q) = ("�p)/q
= p/("�q). INTERRUPT quotients of rational numbers by describing real-world
contexts.
APPLY properties of operations as strategies to multiply and divide
rational numbers.
a rational number to a decimal using long division, know that the
decimal form of a rational number terminates in 0s or eventually repeats.
7.NS.3: SOLVE real-world and mathematical problems involving the four
operations with rational numbers.
Note: Computations with rational numbers extend the rules for manipulating
fractions to complex fractions. |
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Procedures/Methods-
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A. Introduction-
Vocabulary key "�
Transaction = debit or credit from an account
Debit (withdrawal) = Check or debit card usage written out of the
checking account
Credit= Deposit of money put in the account
Situation #1:
Use the ledger to record the information and answer the questions.
Note: On August 12, your beginning balance is $0.00
1. On August 16, you receive a check from your Grandmother for $40
for your birthday.
2. On August 16, you receive a check from your Parents for $100 for
your birthday.
3. On August 17, you purchase a pair of pants from Old Navy for $23.42.
4. On August 18, you find $5.19 in change during the day.
5. On August 19, you purchase socks from Wal-Mart for $12.76.
DATE
TRANSACTION
PAYMENT (-)
DEPOSIT (+)
BALANCE
8/16
Beginning balance
$0.00
A. What is your balance after five transactions?
B. How much money did you deposit (show as a positive value)?
C. How much money did you pay or withdraw (show as a negative value)?
Situation #2:
Use the ledger to record the information and answer the questions.
Note: On May 5, your beginning balance is $8.00
1. On May 6, you spent $4.38 on a gallon of ice cream at Marty's Ice
Cream Parlor.
2. On May 7, you spent $3.37 on crackers, a candy bar, and a coke
from Circle H convenience store.
3. On May 8, you received $10 for cutting the neighbor's grass.
4. On May 8, you spent $14.80 on a downloaded book for your Kindle.
DATE
TRANSACTION
PAYMENT (-)
DEPOSIT (+)
BALANCE
A. What is your balance after four transactions?
B. How much money did you deposit (show as a positive value)?
C. How much money did you pay or withdraw (show as a negative value)?
D. Can you really afford to spend $14.80 on a book for your Kindle?
If not, how much money do you need to earn to have an account balance
of $0?
Situation #3:
Use the ledger to record the information and answer the questions.
Note: On July 4, your beginning balance is (-$40).
Requirements:
- Use at least eight transactions, four of which are debits and four
are credits.
- You must have an ending balance of $145.
- You must include debit and credit amounts that have cents in at
least five of your transactions.
Be sure to fill out the ledger as you go.
DATE
TRANSACTION
PAYMENT (-)
DEPOSIT (+)
BALANCE |
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