## 4th Grade Math Standards - Number and Operation

## All links in the pages below were verified in November, 2011

## Checks for Understanding (Formative/Summative Assessment)

Compose and Decompose - Compose and decompose quantities according to place value. Decimal Notation - Understand decimal notation as an extension of the base-ten number system Multiply - Multiply two- and three-digit whole numbers. Reliable Algorithm - Understand and use a reliable algorithm for multiplying multi-digit numbers and dividing numbers by a single-digit divisor accurately and efficiently. Zero - Understand that division by zero is undefined. Divide - Divide three-digit whole numbers by one-digit divisors fluently with pencil and paper. Factors - Identify factors of whole numbers and model factors and products beyond basic multiplication facts using arrays and area models. Equivalent Forms - Generate equivalent forms of whole numbers, decimals, and common fractions (e.g., 1/10, 1/4, 1/2, 3/4). Compare - Compare equivalent forms whole numbers, fractions, and decimals to each other and to benchmark numbers Use Models - Use models to understand division as the inverse of multiplication, partitioning, and repeated subtraction. Compare Fractions - Use models, benchmarks, and equivalent forms to compare fractions/decimals and locate them on the number line. Use Decimals - Understand and use decimal numbers up to hundredths and write them as fractions. Solve Problems - Solve multi-step problems of various types using whole numbers, fractions, and decimals. Remainder - Understand the role of the remainder in division.

State Performance Indicators

Write Numbers - Read and write numbers from hundredths to hundred-thousands in numerals and in words. Mixed Numbers - Locate and place mixed numbers on the number line. Place Value - Identify the place value of a specified digit in a number and the quantity it represents. Common Multiples - Find factors, common factors, multiples, and common multiples of two numbers. Generate Equivalent Forms - Generate equivalent forms of common fractions and decimals and use them to compare size. Use Symbols to Compare - Use the symbols < , > and = to compare common fractions and decimals in both increasing and decreasing order. Improper Fractions - Convert improper fractions into mixed numbers and/or decimals. Add and Subtract - Add and subtract proper fractions with like and unlike denominators and simplify the answer. Decimals - Add and subtract decimals through hundredths. Contextual Problems - Solve contextual problems using whole numbers, fractions, and decimals. Multi-digit Multiplication - Solve problems using whole number multi-digit multiplication. Division - Solve problems using whole number division with one- or two-digit divisors.

National Library of Virtual Manipulatives Number & Operations [Grades 3-5]

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