4th Grade Math: Addition and Subtraction Strategies

Study Notes

Explain the reason behind the effectiveness of addition and subtraction strategies using place value and properties of operations.

Students will write explanations for addition and subtraction strategies using place value and properties of operations.
Examples of strategies may include:
- Making tens
- Counting on
- Making zero pairs
- Using doubles
- Using number lines
Students will provide specific examples to support their explanations.

Properties of operations include:
- Commutative property of addition
- Associative property of addition
- Distributive property of multiplication over addition

Understanding place value is essential for addition and subtraction strategies
Place value involves:
- Hundreds
- Tens
- Ones
- Place value of digits in a number

The concept involves explaining why addition and subtraction strategies work, relying on place value and the properties of operations.
This knowledge is essential for developing a deep understanding of arithmetic operations.

Addition and subtraction strategies are based on the concept of place value, which is the value of a digit based on its position in a number.
The properties of operations, such as commutative, associative, and distributive properties, also play a crucial role in these strategies.

Students will be given 5 problems to explain why addition and subtraction strategies work, providing examples to support their explanations.
Examples of problems may include equations, such as 456 + 279, and asking students to explain the strategy used to solve the equation, referencing place value and the properties of operations.
Other problems might involve subtracting multi-digit numbers, such as 945 - 437, and asking students to justify their subtraction strategy using place value and the properties of operations.