Topic+Four

= Topic Four: Addition and Subtraction of Whole Numbers = Pacing (Duration of Unit):
 * ~ = Desired Results = ||
 * __**Transfer:**__

1. Makes sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 6. Attend to precision. 7. Look for and make use of structure.
 * 5. Use appropriate tools strategically.**
 * 8. Look for and express regularity in repeated reasoning. ** ||
 * __**Established Goals:**__


 * 4.NBT.3: Use place value understanding to round multi-digit whole numbers to any place.
 * 4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm ** . **

__** I Can Statements: **__


 * I can round large whole numbers to any place.
 * I can add and subtract large numbers.


 * __Pre-Requisite Standards:__**


 * 3.NBT.1: Use place value understanding to round whole numbers to the nearest 10 or 100.
 * 3.NBT.2: Fluently add and subtract within 1000 using strategies sand algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
 * 4.NBT.1: Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. ||
 * __**Big Ideas:**__

__Equivalence__: Any number, measure, numerical expression, algebraic expression, or equation can be represented in an infinite number of ways that have the same value.

__Basic Facts and Algorithms__: There is more than one algorithm for each of the operations with rational numbers. Some strategies for basic facts and most algorithms for operations with rational numbers, both mental math and paper and pencil, use equivalence to transform calculations into simpler ones.

__Estimation__: Numbers can be approximated by numbers that are close. Numerical calculations can be approximated by replacing numbers with other numbers that are close and easy to compute mentally. Some measurements can be approximated using known referents as the unit in the measurement process. || __**Essential Questions:**__


 * How can sums and differences of whole numbers be estimated?
 * What are standard procedures for adding and subtracting whole numbers? ||
 * __**Students will know...**__

. __**Vocabulary:**__ breaking apart, compensation, counting on, Commutative Property of Addition, Associative Property of Addition, Identity Property of Addition, inverse operations || __**Students will be skilled at...**__
 * Representing numbers and numerical expressions in equivalent forms can make some calculations easy to do mentally.
 * There is more than one way to do a mental calculation.
 * There is more than one way to estimate a sum or difference. Each estimation technique gives a way to replace numbers with other numbers that are close and easy to compute with mentally.
 * The standard addition and subtraction algorithms for multi-digit numbers break the calculation into simpler calculations using place value starting with the ones, then the tens, and so on.
 * Information in a problem can often be shown using a picture or diagram and used to understand and solve the problem. Some problems can be solved by writing and completing a number sentence or equation.


 * Applying a variety of methods to add and subtract whole numbers mentally.
 * Rounding whole numbers to estimate sums and differences.
 * Adding numbers to hundreds and thousands with and without regrouping.
 * Subtracing numbers to thousands with and without regrouping.
 * Subtracting numbers with zeros to thousands.
 * Using a picture or diagram to translate an everyday situation into a number sentence or equation. ||
 * ~ = Assessment Evidence = ||
 * Performance Assessment: || Other Evidence: ||
 * ~ = Learning Plan = ||
 * __**Learning Activities:**__

4-1: Representing numbers and numerical expressions in equivalent forms can make some calculations easy to do mentally. There is more than one way to do a mental calculation. 4-2: There is more than one way to estimate a sum or difference. Each estimation technique gives a way to replace numbers with other numbers that are close and easy to compute with mentally. 4-3: The standard addition and subtraction algorithms for multi-digit numbers break the calculation into simpler calculations using place value starting with the ones, then the tens, and so on. 4-4: The standard addition and subtraction algorithms for multi-digit numbers break the calculation into simpler calculations using place value starting with the ones, then the tens, and so on. 4-5: The standard addition and subtraction algorithms for multi-digit numbers break the calculation into simpler calculations using place value starting with the ones, then the tens, and so on. 4-6: Information in a problem can often be shown using a picture or diagram and used to understand and solve the problem. Some problems can be solved by writing and completing a number sentence or equation. ||
 * __**Resources:**__

__Home School Connection:__

__Problem of the Month__: [|4.NBT.4-Miles of Tiles] [|4.NBT.4-Once Upon a Time]

__Centers:__ [|4.NBT.3: Round to the nearest ten] [|4.NBT.3: Round to the nearest hundred] [|4.NBT.4: Adding and Subtracting Multi-Digit Numbers] [|4.NBT.4: Addition and Subtraction Number Stories] ||