5th Grade Math Standards - Number and Operation
Links in the Pages Below Were Verified in September of 2014
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]