Teching the Core Curriculum Content Standards
Math Standards: Grade 7  The Number System
Standards: 7.NS.13
STRAND

CPI

SKILLS

RESOURCES

The Number System

The goal 
Apply and extend previous understandings of operations with fractions
to add, subtract, multiply, and divide rational numbers.

Students
develop a unified understanding of number, recognizing fractions, decimals
(that have a finite or a repeating decimal representation), and percents as
different representations of rational numbers. Students extend addition,
subtraction, multiplication, and division to all rational numbers,
maintaining the properties of operations and the relationships between
addition and subtraction, and multiplication and division. By applying these
properties, and by viewing negative numbers in terms of everyday contexts
(e.g., amounts owed or temperatures below zero), students explain and
interpret the rules for adding, subtracting, multiplying, and dividing with
negative numbers.


Apply
and extend previous understandings of operations with fractions to add,
subtract, multiply, and divide rational numbers.

Rational Number Project 7th Grade Math Games 

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 charge 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 realworld
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 realworld 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. Interpret products of rational
numbers by describing realworld contexts.
Understand that
integers can be divided, provided that the divisor is not zero, and every
quotient of integers (with nonzero 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 realworld contexts.
Apply properties of
operations as strategies to multiply and divide rational numbers.
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.

Division of Integers
Multiplying and Dividing Rational Numbers Multiplying Rational Numbers Pearson Lesson Math Vid  Multiplying Khan Academy  Multiplying IXL  Multiplying and Dividing Dividing Fractions Dividing Rational Numbers Khan Academy  Dividing Basic Algebra  Dividing Solving Linear Equations Solving Linear Equations pt. 1 Linear Equation Practice 

7.NS.3. Solve
realworld and mathematical problems involving the four operations with
rational numbers.


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