Topic+Seven

= Topic Seven: Number Sense: Multiplying by 2-Digit Numbers = Pacing (Duration of Unit):
 * ~ = Desired Results = ||
 * **__Transfer:__**

2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||
 * 1. Makes sense of problems and persevere in solving them.**
 * 4. Model with mathematics. **
 * 5. Use appropriate tools strategically. **
 * **__Established Goals:__**
 * 4.NBT.3: Use place value understanding to round multi-digit whole numbers to any place.
 * 4.NBT.5: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

__** I Can Statements: **__
 * I can round large whole numbers to any place.
 * I can multiply a whole number up to four digits by a one-digit whole number.
 * I can multiply two two-digit numbers.

__** Pre-Requisite Standards: **__
 * 3.NBT.1: Use place value understanding to round whole numbers to the nearest 10 or 100.
 * 3.NBT.3: Multiply one-digit whole numbers by multiples of 10 in the range 10–90 (e.g., 9 ´  80, 5 ´  60) using strategies based on place value and properties of operations
 * 4.NBT.3: Use place value understanding to round multi-digit whole numbers to any place.
 * 4.NBT.5: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. ||
 * __**Big Ideas:**__


 * __Algorithms__: There is more than one algorithm for each of the operations with rational numbers. Most algorithms for operations with rational numbers, both mental math and paper and pencil, use equivalence to transform calculations into simpler ones.
 * __Patterns, Relations, and Functions:__ Relationships can be described and generalizations made for mathematical situations that have numbers or objects that repeat in predictable ways.
 * __ 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.
 * __Practices, Processes, and Proficiencies:__ Mathematics content and practices can be applied to solve problems. || __**Essential Questions:**__
 * How can greater products be found mentally?
 * How can greater products be estimated? ||
 * __**Students will know...**__
 * Making an array with place-value blocks provides a way to visualizae and find products.
 * Basic facts and place-value patterns can be used to mentally multiply a two-digit number by a multiple of 10 or 100.
 * Products can be estimated by replacing numbers with the closest multiple of 10 or 100.
 * Products can be estimated by replacing numbesr with other numbers that are close and easy to multiply mentally.
 * Some problems can be solved by first finding and solving a sub-problem(s) and then using that answer(s) to solve the orignal problem.

__**Vocabulary**__: compatible numbers || __**Students will be skilled at...**__ __**[|4.NBT.5: The Baker]**__ || __**Other Evidence:**__ || 7-1: Making an array with place-value blocks provides a way to visualize and find products. 7-2: __ Basic facts and place-value patterns can be used to mentally multiply a two-digit number by a multiple of 10 or 100. __ __ 7-3: ____ Products can be estimated by replacing numbers with the closest multiple of 10 or 100. __ 7-4: __ Products can be estimated by replacing numbers with other numbers that are close and easy to multiply mentallly. __ __ 7-5: ____ Some problems can be solved by first finding and solving a sub-problem(s) and then using that answer(s) to solve the orignal problem. __ ||
 * Using arrays to multiply 2-digit numbers by multiples of 10.
 * Discovering and using patterns to multiply by multiples of 10.
 * Use rounding to estimate solutions to multiplication problems involving two 2-digit numbers.
 * Using compatible numbers and rounding to estimate solutions to multiplication problems involving two 2-digit numbers.
 * Identifying and answering hidden questions to solve multi-step problems with operations. ||
 * ~ = Assessment Evidence = ||
 * __**Performance Assessment:**__
 * ~ = Learning Plan = ||
 * __**Learning Activities:**__
 * __**Resources:**__

__**Problem of the Month:**__ __**[|4.NBT.5-Measuring Up]**__

__**Centers:**__ __**[|4.NBT.3: Round to the nearest ten]**__ __**[|4.NBT.3: Round to the nearest hundred]**__ __**[|4.NBT.5: Multiplication Bump]**__ __**[|4.NBT.5: Make the largest product]**__ __**[|4.NBT.5: Make the smallest product]**__ ||