MAJOR WORK 2.6
MATHEMATICS
DOMAIN: THE NUMBER SYSTEM
CLUSTERS:

MAJOR CONTENT CLUSTER: 6.NS.A. Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

ADDITIONAL CONTENT CLUSTER: 6.NS.B. Compute fluently with multidigit numbers and find common factors and multiples.

MAJOR CONTENT CLUSTER: 6.NS.C. Apply and extend parevious understandings of numbers to the system of rational numbers
MAJOR CONTENT STANDARDS
6.NS.A.1. Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?
6.NS.B.2. Fluently divide multidigit numbers using the standard algorithm.
MAJOR CONTENT STANDARDS
6.NS.C.7. Understand ordering and absolute value of rational numbers.
GRADE 6 MATH; THE NUMBER SYSTEM
LESSON PLAN IDEAS...

Generates basic quizzes in arithmetic.
Math Antics  Fractions Are Parts
Learn More at mathantics.com
Visit http://www.mathantics.com for more Free math videos and additional subscription based content!
COMPREHENSIVE WEBSITES
ACTIVITIES
Symbaloo Gallery; a Webmix of 6th Grade Common Core Math
Shadows are corrupting the land. Restore the balance of nature using number operations and place value. Gate addresses Common Core standards and guides students in lowering intimidation about large numbers and decimals and realizing that the same mathematical concepts that apply to the "easy" integers apply to every order of magnitude.
Whole numbers are no better than any others! Practice plotting values on the number line as a passionate activist rises up and demands equity for all numbers, including fractions and decimals.
Number Rights addresses Common Core numbers and operations standards and the process standard.
Variety of lessons and interactive games teaching Numbers and Operations, Illuminations works to serve you by increasing access to quality standardsbased resources for teaching and learning mathematics, including interactive tools for students and instructional support for teachers.
Dividing fractions: Khan Academy
STANDARD 6.NS.A.1.
6.NS.A.1. Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?
ONLINE QUIZ: MRMAISONET:
Math Antics  Dividing Fractions
Solving Fraction Word Problems  Fraction Division
Solve the following story problem using two methods including drawing a number line to solve.
Flocabulary  Dividing Fractions  Keep, Change, Flip
eSpark Learning: Dividing MultiDigit Numbers Framing Video
SUPPORTING STANDARD 2.
2. Fluently divide multidigit numbers using the standard algorithm.
This eSpark video outlines a new learning quest that will help students master Common Core State Standard 6.NS: Divide multidigit whole numbers using the standard algorithm.
KHAN ACADEMY  Level 4 Division
MATH SHORTS: Episode 13  Long Division
6NS2 Dividing Multidigit Numbers with Standard Algorithm part 2
6NS2 Dividing Multidigit Numbers with Standard Algorithm part 1
FRONT ROW: Four Operations with Decimals  Common Core Standard
Front Row is a free, adaptive, Common Core aligned math program for teachers and students in kindergarten through eighth grade. Front Row allows students to practice math at their own pace  learning advanced concepts when they're ready and receiving remediation when they struggle.
Discover more Common Core Math at https://www.frontrowed.com
SUPPORTING STANDARD 3.
3. Fluently add, subtract, multiply, and divide multidigit decimals using the standard algorithm for each operation.
ONLINE QUIZ: MRMAISONET:
KHAN ACADEMY: Dividing Decimal
MATH CRUSH: Decimals  Adding and Subtracting
Standard Algorithm for Multiplying Multidigit Decimals
Dividing Decimals by Whole Numbers Using the Standard Algorithm
Math Antics  MultiDigit Multiplication Pt 2
Math Antics  MultiDigit Multiplication Pt 1
Math Antics  MultiDigit Subtraction
Math Antics  MultiDigit Addition
Review with Whole Numbers...
Easy Way To Find The Greatest Common Factor  GCF
This tutorial shows an alternative way to find the Greatest Common Factor. With this technique you may start out with a common factor that is not the greatest and eventually end up with the greatest common factor.
Take an online GCF practice quiz here: http://mrmaisonet.com/index.php?/NumberTheoryQuizzes/GreatstCommonFactor.html
SUPPORTING STANDARD 4.
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).

MATH GOODIES: Multiples and Least Common Multiples
ONLINE QUIZ: MRMAISONET:
Math Cartoon for kids  Factoring with the Greatest Common Factor
Math Antics  Factoring
Algebra Help : How to Find the Greatest Common Factor of Two Numbers Using Fraction Trees
KHAN ACADEMY:
Greatest Common Divisor
Math Antics  Negative Numbers
This tutorial shows what negative numbers are and how to compare them to other integers.
STANDARD 6.NS.C.5.
6.NS.C.5. Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in realworld contexts, explaining the meaning of 0 in each situation.
ONLINE QUIZ: MRMAISONET:
LEARNZILLION: BASIC REVIEW
Teaching Positive and Negative Numbers: Greater Than / Less Than / Equal to
Adding Negative Numbers  Mean Girls and Darth Vader  PBSMathClub
[6.NS.51.0] Negative Numbers  Common Core Standard. Explaining the meaning of 0 in each situation: Front Row
Integers in the Real World
This narrated PowerPoint shows how positive and negative numbers occur in everyday situations.
Ordering rational numbers  Negative numbers  6th grade  Khan Academy
STANDARD 6.NS.C.6.
6.NS.C.6. Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.

Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., –(–3) = 3, and that 0 is its own opposite.

Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.

Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
Hungry space gophers are after the prized carrot. Defend the carrot by placing units on a coordinate grid. Game Over Gopher is Common Core compliant and addresses topics such as plotting coordinate pairs, differentiating negative coordinates from positive coordinates, and identifying the four quadrants.
"The Coordinate Song"
by Raul Moreno Gonzalez; lyrics & voice: Miss Bowley
Integers Song: Learning About Positive or Negative Whole Numbers
For the rest go here...
MATH IS POWER: Plotting Points on the Coordinate Plane
MATHODMAN: Coordinate Plane and Plotting Points
KHAN ACADEMY: Quadrants of Coordinate Plane
KHAN ACADEMY: Absolute Value and Number Lines
Absolute Value and Number Lines
One easy way to think of absolute value is the distance it is from zero. To do that, a number line comes in handy. Watch and learn.
Well, absolute value is actually used in every day life, as a matter of fact. Here are some real life scenarios.
1 ) You want to find out how far you have travelled in a car or plane etc.
2) You want to know how much points your team has scored from games start, to end
3) You want to know how much time it took you to do ____(whatever)
Not only do we use it in real life situations, but this will be a root concept for other more advanced math work.
STANDARD 6.NS.C.7.
6.NS.C.7. Understand ordering and absolute value of rational numbers.

Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret –3 > –7 as a statement that –3 is located to the right of –7 on a number line oriented from left to right. o

Write, interpret, and explain statements of order for rational numbers in realworld contexts. For example, write –3 express the fact that –3 oC is warmer than –7 oC. C > –7 o C to

Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a realworld situation. For example, for an account balance of 30 dollars, write 30 = 30 to describe the size of the debt in dollars.

Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than 30 dollars represents a debt greater than 30 dollars.
KHAN ACADEMY:
Ordering rational numbers
Comparing absolute values on number line  Negative numbers  6th grade  Khan Academy
FRONT ROW:
[6.NS.7a1.0] Comparing Numbers on a Number Line  Common Core Standard
PLANETNUTSHELL:
Math Shorts Episode 10  Absolute Value
MUCHOMATH:
Absolute Value & The Opposite of a Number
BETTERTHANYOURPROF:
What Is Absolute Value Anyway?  Best Explanation
KONST MATH:
Comparing and Ordering Rational Numbers
SHMOOP: Absolute Value by Shmoop
Coordinate plane: graphing points and naming quadrants  Negative numbers  6th grade  Khan Academy
Download resources for this lesson at http://learnzillion.com/lessons/1145
Watch six more videos on this subject with different examples here.
STANDARD 6.NS.C.8.
6.NS.C.8. Solve realworld and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

GUESS THE CONSTELLATION! Graph the positions of the following stars to form a star map, and identify the constellation!
Coordinate plane: quadrants  Negative numbers  6th grade  Khan Academy
CHRISTOPHER RAGG: Real World Problems: Graphing on a Coordinate Plane
CLOUD.TUBE: NASA Connect  HT  Coordinate System
SMITHMATHACADEMY:
Finding the Distance Between Two Points on a Coordinate Plane