7.ee.3

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Mississippi College- and Career-Readiness Standards for Mathematics
7.EE.3: Solve multi-step real-life and mathematical problems posed with positive and negative
rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically.
Apply properties of operations to calculate with numbers in any form; convert between forms as
appropriate; and assess the reasonableness of answers using mental computation and estimation
strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an
additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a
towel bar 9 ¾ inches long in the center of a door that is 27 ½ inches wide, you will need to place the
bar about 9 inches from each edge; this estimation can be used as a check on the exact computation.
Course Emphases:
Major Content
Supporting Content
Additional Content
Prerequisite Skills
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Write, read, and evaluate expressions in which letters stand for numbers. (6.EE.2)
Write expressions that record operations with numbers and with letters standing for numbers.
(6.EE.2a)
Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient,
coefficient); view one or more parts of an expression as a single entity. (6.EE.2b)
Understand solving an equation or inequality as a process of answering a question: which values
from a specified set, if any, make the equation or inequality true? Use substitution to determine
whether a given number in a specified set makes an equation or inequality true. (6.EE.5)
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q
and px = q for cases in which p, q, and x are all nonnegative rational numbers. (6.EE.7)
Key Terms (vocabulary)
Definition
Student-friendly language
Multi-step problem
One that takes several steps to solve.
Rational numbers
A number expressible in the form
−𝑎
𝑎
𝑎
𝑏
Several steps
A fraction of two integers
or for some fraction . The
𝑏
𝑏
rational numbers include the
integers.
Whole number
The numbers 0, 1, 2, 3, …
Fraction
A number expressible in the form
𝑏
where a is a whole number and b is a
positive whole numbers.
Share or portion
Decimal
Relating to or denoting a system of
numbers and arithmetic based on
the number ten, tenth parts, and
powers of ten.
Based on the number 10: expressed in
or utilizing a decimal system especially
with a decimal point
Numbers ≥ 0
𝑎
Tool
A device or implement used to carry
out a particular function.
Something used in performing an
operation
Properties of Operation
Distributive Property, Associative
Property, and Commutative Property
Algorithms
Mental computation
The process of carrying out
arithmetic calculations without the
aid of external devices.
Doing the math in your head
Estimation
A rough calculation of the value,
number, quantity, or extent of
something.
Approximation
Raise
Increase the amount, level, or
strength of.
Increase, more
Salary
A fixed regular payment, typically
paid on a monthly or biweekly basis
but often expressed as an annual
sum, made by an employer to an
employee, especially a professional
or white-collar worker.
What you get paid for work
Additional
Added, extra, or supplementary to
what is already present or available.
More than the base
Key Verbs (skills)
Definition
Student-friendly language
Solve
Find an answer to, explanation for,
or means of effectively dealing with
a problem.
Find an answer or solution
Use
Take, hold, or deploy as a means of
accomplishing a purpose or achieving
a result; employ.
Application
Apply
The act of putting to a special use or
purpose.
Put to use
Calculate
Determine the amount or number of
something mathematically.
Work out
Convert
A change in the form of a
measurement, different units,
without a change in the size or
amount.
Alter
Assess
A change in the form of a
measurement, different units,
without a change in the size or
amount.
Gauge
“I Can” statements in student-friendly language
I can solve multi-step real-life and mathematical problems with positive and negative rational numbers in a variety
of forms.
I can use tools strategically.
I can apply properties of operations to calculate with numbers in variety of forms.
I can convert between a varieties of forms as appropriate.
I can assess the reasonableness of answers using mental computation and estimation strategies.
Essential Questions
What steps are critical in solving multi-step real-life problems and mathematical problems?
What mathematical operations are necessary to work with positive and negative rational numbers in a variety of
forms?
What tools are necessary to successfully solve these type problems?
How can I assure that answers are reasonable for the problems given using mental calculations and estimations?
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