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## 5th Grade Math Standards - Number and Operation

### Checks for Understanding (Formative/Summative Assessment)

Prime - Identify prime numbers up to 50.
Use Prime Factorization - Use the prime factorization of two whole numbers to determine the greatest common factor and the least common multiple.
Fractions and Decimals - Use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals.
Factoring - Use divisibility rules to factor numbers.
Estimation - Make reasonable estimates of fraction and decimal sums and differences.
Mixed Numbers - Add and subtract mixed numbers.
Decimal Point - Understand the placement of the decimal point in calculations of multiplication and long division, including the placement in the estimation of the answer.
Division by Zero - Understand that division by zero is undefined.
Negative Numbers - Explore numbers less than 0 by extending the number line through familiar applications (e.g., temperatures below zero, owing money, measuring elevation below sea level).
Exponential Notation - Use exponential notation to represent repeated multiplication of whole numbers.

### State Performance Indicators

Write Numbers - Read and write numbers from millions to millionths in various contexts.
Prime Factorization - Write the prime factorization of numbers through 50 using both exponential and standard notation.
Real World - Select a reasonable solution to a real-world division problem in which the remainder must be considered.
Division - Solve problems involving the division of two- and three-digit whole numbers by one- and two-digit whole numbers.
Decimals and Fractions - Solve addition and subtraction problems involving both fractions and decimals.
Proper and Improper - Add and subtract proper and improper fractions as well as mixed numbers.
Equivalent Representations - Recognize equivalent representations for the same number.
Terminating Decimals - Write terminating decimals in the form of fractions or mixed numbers.
Compare Numbers - Compare whole numbers, decimals and fractions using the symbols <, >, and =.

 National Library of Virtual Manipulatives Number & Operations [Grades 3-5]  Internet4classrooms is a collaborative effort by Susan Brooks and Bill Byles. 