Topic+Three

= Topic Three: Use Place Value to Add and Subtract = Pacing (Duration of Unit): Standards for Mathematical Practices 2. Reason abstractly quantitatively. 3. Construct viable arguments and critique the reasoning of others. 5. Use appropriate tools strategically. 8. Look for and express regularity in repeated reasoning. ||
 * ~ = Desired Results = ||
 * **Transfer:**
 * 1. Make sense of problems and persevere in solving them.**
 * 4. Model with mathematics.**
 * 6. Attend to precision.**
 * 7. Look for and make use of structure.**
 * **Established Goals:**
 * 3.NBT.2** Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.


 * 3.OA.8** Solve two-step word problems using the four operations. Represent these problems using equations with a letter sanding for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.


 * Student I Can Statements:**
 * I can add within 1000 by using an algorithm or strategy based on place value.
 * I can subtract within a 1000 by using an algorithm or strategy based on place value. can choose the correct operation to perform the first computation, and choose the correct operation to perform the second computation in order to solve two-step word problems.
 * I can write equations using a letter for the unknown number.
 * I can decide if my answers are reasonable using mental math and estimation strategies including rounding.


 * Prerequisite Standards:**
 * 2.NBT.6** Add up to four two-digit numbers using strategies based on place value and properties of operations.


 * 2.NBT.7** Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in addition or subtracting three-digit numbers, one adds or subtracts hundred and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decomposed tens or hundreds.


 * 2.NBT.8** Mentally add 10 or 100 to a given number 100-900, and mentally subtract 10 or 100 from a given number 100-900.

There is more that 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.
 * 2.NBT.9** Explain why addition and subtraction strategies work, using place value and the properties of operations. ||
 * **Big Ideas:**
 * Basic Facts and Algorithms**

For a given set of numbers there are relationships that are always called properties, and these are the rules that govern arithmetic and algebra.
 * Properties**

Mathematics content and practices can be applied to solve problems. || **Essential Questions:**
 * Practices, Processes, and Properties**
 * What are standard procedures for addition and subtracting whole numbers?
 * What strategies can we use to solve problems? ||
 * **Students will know...**
 * The expanded algorithm for adding 3-digit numbers breaks the addition problem into a series of easier problems based on place value. Answers to the simpler problems are added together to determine the final sum.
 * Models and the standard algorithm for adding 3-digit numbers are just an extension to the hundred place of the models an standard algorithm for adding 2-digit numbers.
 * The expanded algorithm for subtracting 3-digit numbers breaks the subtraction problem into a series of easier problems based on place value. Answers to the simpler problems are used to find the final differences.
 * Models and the standard algorithm for subtracting 3-digit numbers are just an extension to the hundreds place of the models and standard algorithm for subtracting 2-digit numbers.
 * Place-value relationships can help simplify subtracting across zero.
 * There are more whole numbers can be grouped and added in any order.
 * Information in a problem can be often be often shown using a problem. Some problems can be solved by writing and completing a number sentence or equation.


 * Vocabulary: (Review and reinforce vocabulary from previous topic.)**
 * addends
 * sum
 * commutative (order) property of addition
 * Associative property of addition
 * Identity property of addition
 * difference
 * fact family
 * round
 * estimate
 * compatible numbers
 * equation || **Students will be skilled at...**
 * Solve 3-digit addition problems using an expanded algorithm.
 * Add 3-digit numbers using place-value blocks or pictures and record the results using the standard addition algorithm.
 * Add 3-digit numbers using paper-and-pencil methods and use addition to solve problems.
 * Draw a picture to solve a problem. ||
 * ~ = Assessment Evidence = ||
 * **Performance Assessment:**





|| **Other Evidence:** ||
 * Exit Tickets**
 * ~ = Learning Plan = ||
 * **Learning Activities:**

3-1 The expanded algorithm for adding 3-digit numbers breaks the addition problem into a series of easier problems based on place value. Answers to the simpler problems are added together to determine the final sum.

3-2 Models and the standard algorithm for adding 3-digit numbers are just an extension to the hundred place of the models an standard algorithm for adding 2-digit numbers.

3-3 Models and the standard algorithm for adding 3-digit numbers are just an extension to the hundred place of the models an standard algorithm for adding 2-digit numbers.

3-4 There are more whole numbers can be grouped and added in any order.

3-5 Information in a problem can be often be often shown using a problem. Some problems can be solved by writing and completing a number sentence or equation.

3-6 The expanded algorithm for subtracting 3-digit numbers breaks the subtraction problem into a series of easier problems based on place value. Answers to the simpler problems are used to find the final differences.

3-7 Models and the standard algorithm for subtracting 3-digit numbers are just an extension to the hundreds place of the models and standard algorithm for subtracting 2-digit numbers.

3-8 Models and the standard algorithm for subtracting 3-digit numbers are just an extension to the hundreds place of the models and standard algorithm for subtracting 2-digit numbers.

3-9 Place-value relationships can help simplify subtracting across zero.

3-10 Information in a problem can be often be often shown using a problem. Some problems can be solved by writing and completing a number sentence or equation. ||
 * **Resources:**


 * Centers**


 * Home School Connection:**


 * Multi-Step Problems:**

[|Persistence In Problem Solving]
 * Teacher Online Videos**

media type="custom" key="24112140" media type="custom" key="24112160" ||
 * Mental Math Videos**