# 7th Math Unit 4 Rational Numbers 2013-2014 (3)

```7th Grade Math – Unit 4 – Rational Numbers
Mathematical
Practices
Conceptual
Overview
Common Core Standards
Essential
Understandings
Suggested Unit Pacing (# of days):
The Mathematical Practices are
P1 Make sense of problems and persevere in solving them.
K-12 standards and together with
P2 Reason abstractly and quantitatively.
the content standards prescribe
Construct viable arguments and critique the reasoning of
P3
that students experience
others.
mathematics as a coherent, useful, P4 Model with mathematics.
and logical subject. Teachers of
P5 Use appropriate tools strategically.
mathematics should intentionally
P6 Attend to precision.
provide daily opportunities for
P7 Look for and make use of structure.
students to develop these
P8 Look for and express regularity in repeated reasoning.
mathematical habits of mind.
During this unit students will…
 Apply and extend prior operations with rational numbers.
By the end of this unit students will be able to…
7.NS.1 
 Fluently add, subtract, multiply and divide rational numbers.
 Solve real-world and mathematical problems rational numbers.
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.
7.NS.1a 
Describe situations in which opposite quantities combine to make 0.
7.NS.1.bo
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.
7.NS.1c o
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.
7.NS.1d o
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.
7.NS.2a o
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. Interpret products of rational numbers by describing realworld contexts.
7.NS.2b o
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). Interpret quotients of rational numbers by
describing real-world contexts.
7.NS.2c
Apply properties of operations as strategies to multiply and divide rational numbers
7.NS.2d o
Convert 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.
These suggested learning targets were determined based on the intentions of the CCSS and/or NCES. Teachers
will need to add the criteria for success in order to create outcome-based targets.
Learning
Targets
Essential
Terminology
Literacy
Integration
Add, subtract, multiply and divide signed fractions and decimals.
Convert rational numbers to decimals using long division.
Apply operations with signed fractions and decimals to real world problems.
rational number, irrational number, terminating and repeating decimal, reciprocal,
multiplicative inverse, numerator, denominator, equivalent fractions, improper fractions
Integrate quantitative or technical information expressed in words in a text with
Literacy
a version of that information expressed visually (e.g., in a flowchart, diagram,
Standards
model, graph, or table).
Literature
Connections
Technology
Integration
Technology
Standards
Use appropriate technology tools and other resources to access information.
Use appropriate technology tools and other resources to organize information
(e.g. graphic organizers, databases, spreadsheets, and desktop publishing).
Use appropriate technology tools and other resources to design products to share
information with others (e.g. multimedia presentations, Web 2.0 tools, graphics,
podcasts, and audio files).
Technology
Resources
Resources
http://www.abss.k12.nc.us/cms/lib02/NC01001905/Centricity/domain/1580/secondary
math/7th grade/general/7th Math Unit 4 Resources.docx
Cross
Curricular
Integration
Pre-/Postassessment
On-going/
Formative
Assessment
http://www.abss.k12.nc.us/cms/lib02/NC01001905/Centricity/domain/1580/sec
ondary math/7th grade/general/7th Math Unit 4 PT.docx
Assessment
Summative