6NS-Compute+fluently+with+multi-digit+numbers+and+find+common+factors+and+multiples

6.NS.2. Fluently divide multi-digit numbers using the standard algorithm. 6.NS.3. Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. 6.NS.4. Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. //For example, express 36 + 8 as 4 (9 + 2). Apply and extend previous understandings of numbers to the system of rational numbers.// || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Anchor Standard/Mathematical Practice(s)**=== ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Learning Target/Task Analysis**===
 * ===**Common Core Standards**===
 * Reason abstractly and quantitatively.
 * Look for and make use of structure.
 * Look for and express regularity in repeated reasoning. ||
 * ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Information Technology Standard**=== || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Revised Bloom's Level of thinking: Understanding, Applying**=== ||

students become fluent in the use of the standard division algorithm, continuing to use their understanding of place value to describe what they are doing.

students become fluent in the use of the standard algorithms of each of these operations. (adding, subtracting, multiplying, and dividing)

students will find the greatest common factor of two whole numbers less than or equal to 100.

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**I can...Compute fluently with multi-digit numbers and find common factors and multiples.**===


 * I can divide multi-digit numbers.
 * I can add multi-digit decimals.
 * I can subtract multi-digits decimals.
 * I can multiply multi-digit decimals.
 * I can divide multi-digit decimals.
 * I can find the Greatest Common Factor of two numbers.
 * I can find the Least Common Multiple of two numbers.
 * I can use the Distributive Property to rewrite addition problems using the GCF.

greatest common factor, least common multiple, prime numbers,composite numbers, relatively prime, factors, multiples, distributive property, prime factorization

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Sample Assessments**
Thinkgate
 * Daily Spiral Review**
 * Signaling**
 * Questioning**
 * Teacher Observation**

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Differentiation**
Teaching the Common Core Math Standards with Hands-On Activities: Snork's Long Division (page 12) Teaching the Common Core Math Standards with Hands-On Activities: Long Division Relay Race (page 13) Teaching the Common Core Math Standards with Hands-On Activities: Decimal Operation Tournament (page 15) Teaching the Common Core Math Standards with Hands-On Activities: The Numbers Game (page 17)

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Intervention:**
Quantiles 1 Quantiles 2 Quantiles 3

Printing Books p.85: Navigating Through Algebra Looking For The Least p.132 : Navigating Through Problem Solving and Reasoning In-Venn-Stigating Factors and Multiples p. 134: Navigating Through Problem Solving and Reasoning What are the Relationships: p.142: Navigating Through Problem Solving and Resoning

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Instructional Resources:**===

Mathematics Station Activities for Common Core State Standards Grade 6 (page 37) Carnegie Learning: Chapter 1, Chapter 2, Chapter 4 DPI Indicators: Pages 14-17 DPI Strategies: Modeling Tenths (page 17) Decimals On The Number Line (page 17) Modeling Hundredths (page 18) Multiplication as Repeated Addition (page 18) Rational Number Operations 1 (page 20) Decimal Operations (page 21) Rational Race (page 10) Mini Review (page 15) Notes/Examples Practice 1 Practice 2 Practice 3
 * TI-73 GCF**

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Notes and Additional Information**===