• Key Concepts in Grade 4 Math

Place value

• Understand that each place is 10 times the value of the next place
• Rounding whole numbers to the nearest ten, hundred, thousand, or ten thousand

Math fact mastery - addition, subtraction, multiplication and division

Addition and subtraction of whole numbers

Multiplication

• Understand that multiplication is repeated addition
• Break apart factors and multiply using the distributive property.  For example, 15 x 12 = (10 + 5) x (10 + 2) = (10 x 10) + (10 x 2) + (5 x 10) + (5 x 2)
• 2-digit by 1-digit multiplication
• 2-digit by 2-digit multiplication
• 3-digit by 1-digit multiplication
• 4-digit by 1-digit multiplication

Division

• Understand that division is repeated subtraction
• Divide 2-, 3-, and 4-digit numbers by 1-digit numbers with and without remainders
• Understand what the quotient and remainder represent

Fractions and Decimals

• Addition and subtraction of fractions with like denominators
• Equivalent fractions
• Simplifying fractions
• Ordering fractional amounts from least to greatest with like and unlike denominators
• Changing improper fractions to mixed numbers
• Adding and subtracting mixed numbers
• Understanding the relationship between fractions and decimals (tenths and hundredths)

Problem-solving

• Solve word problems using all key concepts
• Use bar diagrams to solve problems and include examples