NBT.B.6+Division

=Number & Operations in Base Ten - Perform operations with multi-digit whole numbers and with decimals to hundredths.=

CCSS.Math.Content.5.NBT.B.6

1. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on:
 * Standards and Progression Explanations:**
 * place value,
 * the properties of operations,
 * and/or the relationship between multiplication and division.

2. Illustrate and explain the calculation by using
 * equations,
 * rectangular arrays,
 * and/or area models.

**Progression Document for NBT** - this takes the general standards down to a specifics level on what needs to be taught and what models are required at what grade. This is essential so that the students have the tools they will need for the more advanced topics.

Georgia's Enduring Understandings:
 * There are two common situations where division may be used: fair sharing (given the total amount and the number of equal groups, determine how many/much in each group) and measurement (given the total amount and the amount in a group, determine how many groups of the same size can be created).
 * Some division situations will produce a remainder, but the remainder will always be less than the divisor. If the remainder is greater than the divisor, that means at least one more can be given to each group (fair sharing) or at least one more group of the given size (the dividend) may be created.
 * The dividend, divisor, quotient, and remainder are related in the following manner: dividend = divisor x quotient + remainder.
 * The quotient remains unchanged when both the dividend and the divisor are multiplied or divided by the same number.
 * The properties of multiplication and division help us solve computation problems easily and provide reasoning for choices we make in problem solving.

Georgia Essential Questions:
 * How can estimating help us when solving division problems?
 * What strategies can we use to efficiently solve division problems?


 * Assessment: google "5.nbt.6 assessment"**
 * Howard County Assessments
 * Waterbury Assessment


 * Resources: google "5.nbt.6 resources"**
 * Howard county resources
 * CCSS Math - by teachers for teachers


 * Tasks and Example problems:**
 * Georgia Lesson Plans/Tasks
 * Inside Mathematics - Fruits and Vegetables and Through the Grapevine
 * Illustrative Mathematics 5th grade NBT


 * Video Sites:**
 * Video on meaning of standard for teachers
 * Learn Zillion - played through YouTube
 * WatchKnowLearn - possible videos for instruction or student reference from home
 * LearnAlberta - Division of Whole Numbers - Video Tutorial – @http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=9%20
 * Learn Alberta - Division of Whole Numbers - Video Tutorial - @http://www.learnalberta.ca/content/me5l/html/Math5.html?launch=true
 * Education Place - Divide with Remainders - Student Tutorial - @http://eduplace.com/cgi-bin/schtemplate.cgi?template=/math/hmm/models/tm_popup.thtml&grade=4&chapter=8&lesson=2&title=Divide+with+Remainders&tm=tmfe0802e%20


 * Worksheets:**
 * Mathworksheetsland.com - free
 * Mr. Maffesoli's worksheet resources


 * Lesson Plans:**
 * [|B. Pick It and Prove It Activity (5.NBT.6), Grade 5]
 * [|C. Pick It and Prove It Student Sheet (5.NBT.6), Grade 5]
 * [|D. Pick It and Prove It Teacher Directions (5.NBT.6), Grade 5]
 * [|E. Orchard Activity (5.NBT.6), Grade 5]
 * UEN - "Remainder of One" Lesson - http://www.uen.org/Lessonplan/preview.cgi?LPid=6152%20
 * UEN - "Remainder Riddles" Lesson - http://www.uen.org/Lessonplan/preview.cgi?LPid=6153%20
 * UEN - "Partial Quotient" Lesson - @http://www.uen.org/Lessonplan/preview.cgi?LPid=6154%20
 * UEN - "Mystery Dinner" Lesson - @http://www.uen.org/Lessonplan/preview.cgi?LPid=21553%20
 * Math Solutions - "A Remainder of One" Lesson - @http://www.mathsolutions.com/documents/0-941355-46-2_L.pdf%20


 * Applets:**
 * Double Division - Division by a 2-Digit Number - Algorithm Applet - @http://www.doubledivision.org/
 * NLVM - Rectangle Division- Interactive Applet - @http://nlvm.usu.edu/en/nav/frames_asid_193_g_2_t_1.html%20
 * NLVM - Number Line Arithmetic - Interactive Applet - http://nlvm.usu.edu/en/nav/frames_asid_197_g_2_t_1.html?open=activities

.
 * Student Practice Sites:**
 * IXL - Multiplication: Properties of multiplication (Fifth grade - F.6)
 * IXL - Division: Division facts to 12 (Fifth grade - H.1)
 * IXL - Division: Division facts to 12: word problems (Fifth grade - H.2)
 * IXL - Division: Divide multi-digit numbers by 1-digit numbers (Fifth grade - H.3)
 * IXL - Division: Divide multi-digit numbers by 1-digit numbers: word problems (Fifth grade - H.4)
 * IXL - Division: Divide numbers ending in zeroes (Fifth grade - H.8)
 * IXL - Division: Divide numbers ending in zeroes: word problems (Fifth grade - H.9)
 * IXL - Division: Divide by 2-digit numbers (Fifth grade - H.10)
 * IXL - Division: Divide by 2-digit numbers: word problems (Fifth grade - H.11)
 * IXL - Division: Choose numbers with a particular quotient (Fifth grade - H.14)

Online Support Sites:
Support for both 1 & 2:
 * @http://www.internet4classrooms.com/common_core/find_whole_number_quotients_whole_numbers_up_number_operations_in_base_ten_fifth_5th_grade_math_mathematics.htm