NC.7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers, using the properties of operations, and describing real-world contexts using sums and differences.
NC.7.NS.2 Apply and extend previous understandings of multiplication and division.
a. Understand that a rational number is any number that can be written as a quotient of integers with a non-zero divisor.
b. Apply properties of operations as strategies, including the standard algorithms, to multiply and divide rational numbers and describe the product and quotient in real-world contexts.
c. Use division and previous understandings of fractions and decimals.
Convert a fraction to a decimal using long division.
Understand that the decimal form of a rational number terminates in 0s or eventually repeats.
NC.7.NS.3 Solve real-world and mathematical problems involving numbers using the four operations.
Lessons
Using Estimation Strategies
Adding and Subtracting Decimals
Multiplying Decimals
Dividing Decimals
Measuring in Metric Units
Comparing and Ordering Integers
Adding and Subtracting Integers
Multipying and Dividing Integers
Order of Operations and the Distributive Property
Mean, Median, Mode, and Range
Lessons
Exponents and Order of Operations
Prime Factorization
Simplifying Fractions
Comparing and Ordering Fractions
Mixed Numbers and Improper Fractions
Fractions and Decimals
Rational Numbers
Scientific Notation
Lessons
Estimating with Fractions and Mixed Numbers
Adding and Subtracting Fractions
Adding and Subtracting Mixed Numbers
Multiplying Fractions and Mixed Numbers
Dividing Fractions and Mixed Numbers
Changing Units in the Customary System
Precision