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4th Grade Number and Operations

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

SPI 0406.2.1

Write Numbers - Read and write numbers from hundredths to hundred-thousands in numerals and in words.

SPI 0406.2.2

Mixed Numbers - Locate and place mixed numbers on the number line.

SPI 0406.2.3

Place Value - Identify the place value of a specified digit in a number and the quantity it represents.

SPI 0406.2.4

Common Multiples - Find factors, common factors, multiples, and common multiples of two numbers.

SPI 0406.2.5

Generate Equivalent Forms - Generate equivalent forms of common fractions and decimals and use them to compare size.

SPI 0406.2.6

Use Symbols to Compare - Use the symbols < , > and = to compare common fractions and decimals in both increasing and decreasing order.

SPI 0406.2.7

Improper Fractions - Convert improper fractions into mixed numbers and/or decimals.

SPI 0406.2.8

Add and Subtract - Add and subtract proper fractions with like and unlike denominators and simplify the answer.

SPI 0406.2.9

Decimals - Add and subtract decimals through hundredths.

SPI 0406.2.10

Contextual Problems - Solve contextual problems using whole numbers, fractions, and decimals.

SPI 0406.2.11

Multi-digit Multiplication - Solve problems using whole number multi-digit multiplication.

SPI 0406.2.12

Division - Solve problems using whole number division with one- or two-digit divisors.

National Library of Virtual Manipulatives
Number & Operations [Grades 3-5] This site is interactive and allows students to play a game or input or collect data



Internet4classrooms is a collaborative effort by Susan Brooks and Bill Byles.




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