NBT-Use+place+value+understanding+&+properties+of+operations+to+perform+multi-digit+arithmetic

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 and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. 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. Use place value understanding and properties of operations to perform multi-digit arithmetic. 1. Make 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. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||
 * ===**Common Core Standards**===
 * A range of algorithms may be used. || ===‍‍‍‍‍‍**Anchor Standard/Mathematical Practice(s)**===
 * 3.NBT.1 / 3.NBT.2 / 3.NBT.3**
 * ===‍‍‍‍‍‍**Information Technology Standard**===

**3.TT.1 Use technology tools and skills to reinforce classroom concepts and activities.**
|| ===‍‍‍‍‍‍**Revised Bloom's Level of thinking**=== Can the student break information into arts to explore understandings and relationships? (Comparing, Organizing, Deconstructing, Interrogating, Finding, Differentiating, Attributing) Can the student break information into arts to explore understandings and relationships? (Comparing, Organizing, Deconstructing, Interrogating, Finding, Differentiating, Attributing) Can the student use information in another familiar situation; carry out or use a procedure in a given situation? (Implementing, carrying out, using, executing) ||
 * 3.NBT.1** ** Analyzing **
 * 3.NBT.2** ** Analyzing **
 * 3.NBT.3 Applying **

3.NBT.1 I can use place value understanding to round whole numbers to the nearest 10 or 100.

 * Identify and explain place value (the relationship between ones, tens, hundreds, and thousands).
 * Explain situations in which rounding of numbers are appropriate and/or needed.
 * Illustrate how a number line or hundreds board demonstrates rounding of numbers.
 * Distinguish the place value that will determine which way to round.
 * Use place value understanding to round whole numbers to the nearest 10 or 100.

3.NBT.2 **I can u <span style="font-family: Arial,sans-serif; font-size: 10pt;">se place value and properties of operations, using a variety of standard and non-standard algorithms, to show the relationship between addition and subtraction. **
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand vertical and horizontal addition and subtraction are inverse operations.
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Decompose and compose numbers accurately and fluently to solve problems.
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Apply the properties of operations for addition and subtraction (commutative and associative).
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Perform addition and subtraction of whole numbers fluently using a variety of algorithms with and without regrouping through 1,000.
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">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.

<span style="font-family: Arial,sans-serif;">3.NBT.3 **<span style="font-family: Arial,sans-serif;">I can m **<span style="font-family: Arial,sans-serif; font-size: 10pt;">**ultiply one-digit numbers by multiples of 10 using place value strategies and properties**.
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Recognize multiples of 10 up to 90.
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Explain the relationship between repeated addition of multiples of 10 and the multiplication of one-digit numbers by multiples of 10.
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Multiply one-digit numbers by multiples of ten using place value strategies (e.g., 50 x 4 can be seen as 4 groups of 5 tens or 20 tens, which equals 200).
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Apply the associative, commutative, and/or distributive property of multiplication to show the understanding of multiplying whole numbers by multiples of ten (e.g., associative property: 3 x 60 = 3 x (6x10) or (3 x6 )x 10; commutative property: 180= 3x 60 or 180= 60 x 3; distributive property: a x(b +c) = a x b + a x c
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">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.

‍‍‍‍‍‍**Essential Vocabulary**
Teacher Glossary


 * **3.NBT.1** || **3.NBT.2** || **3.NBT.3** ||
 * <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Relationship <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Number line  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Place  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Value  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Place value  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Rounding  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Hundreds board  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Tens  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Hundreds  || <span style="display: block; font-family: Arial,sans-serif; font-size: 11.5pt; text-align: center;">addition  <span style="display: block; font-family: Arial,sans-serif; font-size: 11.5pt; text-align: center;">subtraction  <span style="display: block; font-family: Arial,sans-serif; font-size: 11.5pt; text-align: center;">regrouping  <span style="display: block; font-family: Arial,sans-serif; font-size: 11.5pt; text-align: center;">place value  <span style="display: block; font-family: Arial,sans-serif; font-size: 11.5pt; text-align: center;">rounding  <span style="display: block; font-family: Arial,sans-serif; font-size: 11.5pt; text-align: center;">vertical  <span style="display: block; font-family: Arial,sans-serif; font-size: 11.5pt; text-align: center;">horizontal  <span style="display: block; font-family: Arial,sans-serif; font-size: 11.5pt; text-align: center;">commutative property of addition  <span style="display: block; font-family: Arial,sans-serif; font-size: 11.5pt; text-align: center;">associative property of addition  <span style="display: block; font-family: Arial,sans-serif; font-size: 11.5pt; text-align: center;">inverse  || <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Multiples  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Associative Property of Multiplication  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Commutative Property of Multiplication  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Distributive of Property of Multiplication  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Product  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Place value  <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; text-align: center;">Factor  ||

‍‍‍‍‍**Sample Assessments**

 * 1) **Formal and informal teacher made assessments using RBT question stems.**
 * 2) **District predictive assessments.**
 * 3) **Standardized tests.**
 * 4) **Observations, data collection (student data books), and conferences.**
 * 5) **Scholastic Math Inventory**
 * 6) **Thinkgate.net**

‍‍‍‍‍‍**Differentiation**
 * 1) ** Learning style surveys (student interest and teacher created). **
 * 2) ** Small group settings based on skill levels. **
 * 3) ** Peer tutors. **
 * 4) ** Tiered assignments (same assignment, different levels) **
 * 5) ** Flexible grouping **
 * 6) ** Centers (finding, identifying, creating patterns with numbers, week by week essentials games) **
 * 7) **Learning Contracts**
 * 8) **Choice boards (create math games, make flashcards)**
 * 9) **Investigations website**
 * 10) **daretodifferentiate site**

‍‍‍‍‍‍**Intervention:**

 * **Scholastic Math Inventory**
 * **Math Tutors**
 * **One on one direct instruction**
 * **Math based web sites ([|www.multiplication.com], [|www.abcya.com], [|www.ixl.com], [|www.sheppardssoftware.com]www.mrsgoldsclass.com www.mathplayground.com**
 * **Intervention sites**: (JennyLendElementary) www.mathwire.com
 * **Investigations Math site**

‍‍‍‍‍‍**Enrichment:**

 * 1) **Math based web sites ([|www.multiplication.com],[| www.abcya.com], [|www.ixl.com], [|www.sheppardssoftware.com])**
 * 2) **Scholastic Math Inventory**
 * 3) **Group projects (creating games, make flashcards, pose questions)**
 * 4) **Investigations Math site**

‍‍‍‍‍‍**Instructional Resources**
=== Envisions Math Student Pages NBT.1 NBT.2 NBT.2 NBT.3 === Investigations Math Websites Manipulatives (hands-on instruction) number lines, hundreds chart, posters for displaying algorithims data grapher addition and subtraction equations ===multiply 1 digit numbers by 10 place value games===