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Math: UNIT 2

|TITLE: |Grade 5 |

|Divide Whole Numbers | |

|Domain: |Suggested Pacing |

|Number and Operations in Base Ten (CC.5.NBT) | |

|Number and Operations—Fractions (CC.5.NF) | |

| |11 days |

| |10/27/14 – 11/12/14 |

|Stage 1 – Desired Result |

|Established Goals/Unit Outcome |

|Highest Level of Understanding: |

|Divide 3- and 4-digit dividends by 1-digit divisors using a variety of strategies. |

|Divide by 2-digit divisors using base-ten blocks, place value, and other strategies. |

|Estimate quotients using compatible numbers. |

|Solve division problems and decide when to write a remainder as a fraction. |

|Solve problems by using the strategy draw a diagram. |

| |

|Average Level of Understanding: |

|Divide 3- and 4-digit dividends by 1-digit divisors using a variety of strategies. |

|Divide by 2-digit divisors using base-ten blocks, place value, and other strategies. |

|Estimate quotients using compatible numbers. |

| |

|Most Essential Level of Understanding: |

|Solve division problems and decide when to write a remainder as a fraction. |

|Solve problems by using the strategy draw a diagram. |

|Common Core Learning Standards: |

| |

|CC.5.NBT.6: Perform operations with multi-digit whole numbers and with decimals to hundredths. |

|Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication |

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

| |

|CC.5.NF.3: Apply and extend previous understandings of multiplication and division to multiply and divide fractions. |

|Interpret a fraction as division of the numerator by the denominator (a/b = a ( b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using|

|visual fraction models or equations to represent the problem. |

|Mathematical Practice: |

|CC.K-12.MP.1: |

|Make sense of problems and preserve in solving them. |

|CC.K-12.MP.4: |

|Model with mathematics. |

|CC.K-12.MP.7: |

|Look for and make use of structure. |

|Essential Questions: |

|Chapter Essential Question: |

|How can you divide whole numbers? (OVERALL) |

|Lesson 2.1: |

|How can you tell where to place the first digit of a quotient without dividing? |

|Lesson 2.2: |

|How do you solve and check division? |

|Lesson 2.3: |

|How can you use base-ten blocks to model and understand division of whole numbers? |

|Lesson 2.4: |

|How can you use partial quotients to divide by 2-digit divisors? |

|Lesson 2.5: |

|How can you use compatible numbers to estimate quotients? |

|Lesson 2.6: |

|How can you divide by 2-digit divisors? |

|Lesson 2.7: |

|When solving a division problem, when do you write the remainder as a fraction? |

|Lesson 2.8: |

|How can you adjust the quotient if your estimate is too high or too low? |

|Lesson 2.9: |

|How can the strategy draw a diagram help you solve a division problem? |

|Content: |Skills: |

| | |

|Model Division |Use models to solve problems like 36 ÷ 3. |

| | |

| | |

|How to Divide Mentally |Use fact families and patterns to solve division problems like 2,800 ( 40. |

| | |

| |Estimate solutions of division problems like 335 ÷ 8. |

|Estimate quotients | |

| |Solve division problems like 512 ( 4. |

| | |

|Multi-Digit Division | |

| | |

|Terms / Vocabulary: |

|Dividend |

|Divisor |

|Quotient |

|Remainder |

|Inverse operations (lesson 2.2) |

|Partial quotients (lesson 2.3, 2.4) |

|Compatible numbers (lesson 2.5) |

|Estimate (lesson 2.5) |

|Stage 2 – Assessment Evidence |

|Performance Task: |Other Evidence |

| | |

| |Other Evidence: |

| | |

| |Diagnostic: |

| |Show What You Know pg. 59 |

| | |

| |Formative: |

| |Mid Chapter Checkpoint pp. 77-78 |

| |--Student Resources |

| |--Teacher Resources |

| |Lesson Quick Check |

| | |

| |Summative: |

| |Review Test pp. 99-102 |

| |--Student Resources |

| |--Teacher Resources |

| |Chapter Test AG 51-56 |

| |

|Stage 3: Learning Plan |

|Standard |

|Grab-and-Go Differentiated Center Kits |

|Literacy Connections: Readers |Games/Activities: |

| | |

|A Drive Through History: |What’s Left : Activity Card #15 |

|Students read about how the Alvarez family uses multiplication and division to plan their vacation | |

| |Divide and Conquer |

|Niagara Falls Numbers : |Students complete orange activity card 15 by making and solving problems with 3-digit |

|Students read the book and solve division problems about Niagara Falls. |dividends and 2-digit divisors. |

| | |

| |15-Minute March |

| |Students complete blue activity card 15 by finding how many 15-minute time increments |

| |are in a given length time. |

| | |

| |Decide and Divide |

| |Students complete purple activity card 15 by estimating quotients and then dividing |

| |3-digit dividends by 2-digit divisors. |

|Go Math Intervention Activities (ELLs, RTI, and SWDs): |

|ELLs |RTI |

|Strategy: |Lesson 2.1: |

|Describe (lesson 2.1: pg. 61B; lesson 2.6: pg. 83B) |Tier 1: Visual/Kinesthetic (Whole Class/Small Group) |

|Strategy: |Pg. 61B |

|Identify Relationships (lesson 2.2; pg. 65B) |Tier 2: Visual/Logical (Small Group) |

|Strategy: |Pg. 61B |

|Draw (lesson 2.3; pg. 69B) | |

|Strategy: |Lesson 2.2: |

|Rephrase (lesson 2.4:pg. 73B; lesson 2.7: pg. 87B; lesson 2.9: pg. 95B) |Tier 1: Kinesthetic (Whole Class/Small Group) |

|Strategy: |Pg. 65B |

|Identify Patterns (lesson 2.5; pg. 79B) |Tier 2: Kinesthetic (Small Group) |

|Strategy: |Pg. 65B |

|Creative Grouping (lesson 2.8; pg. 91B) | |

| |Lesson 2.3: |

| |Tier 1: Kinesthetic (Whole Class/Small Group) |

| |Pg. 69B |

| |Tier 2: Kinesthetic/Visual (Small Group) |

| |Pg. 69B |

| | |

| |Lesson 2.4: |

| |Tier 1: Logical/Visual (Whole Class/Small Group) |

| |Pg. 73B |

| |Tier 2: Logical/Visual (Small Group) |

| |Pg. 73B |

| | |

| |Lesson 2.5: |

| |Tier 1: Logical/Auditory (Whole Class/Small Group) |

| |Pg. 79B |

| |Tier 2: Kinesthetic/Auditory (Small Group) |

| |Pg. 79B |

| | |

| |Lesson 2.6: |

| |Tier 1: Kinesthetic (Whole Class/Small Group) |

| |Pg. 83B |

| |Tier 2: Visual/Kinesthetic (Small Group) |

| |Pg. 83B |

| | |

| |Lesson 2.7: |

| |Tier 1: Kinesthetic (Whole Class/Small Group) |

| |Pg. 87B |

| |Tier 2: Visual/Kinesthetic (Small Group) |

| |Pg. 87B |

| | |

| |Lesson 2.8: |

| |Tier 1: Logical/Visual (Whole Class/Small Group) |

| |Pg. 91B |

| |Tier 2: Logical/Kinesthetic (Small Group) |

| |Pg. 91B |

| | |

| |Lesson 2.9: |

| |Tier 1: Visual/Kinesthetic (Whole Class/Small Group) |

| |Pg. 95B |

| |Tier 2: Logical/Visual (Small Group) |

| |Pg. 95B |

|SWD’s |Advanced |

| |For Advanced Students: |

|Division: | |

|Choose a peer to model how to solve division problems for the student. |TE, pg. 59F |

|Develop a math fact reference sheet for division for the student to use at his/her desk when solving math problems. |Enrich activity |

|Discuss and provide the student with a list of words and phrases which usually indicate a division operation in word|Enrich book |

|problems (e.g., into, share, each, average, quotient, half as many, etc.) |Extend the project |

|Provide opportunities for the student to apply division facts in real-life situations (e.g., money, average length |ELL activity |

|of time it takes to do a job, etc.). | |

|Have the student practice the division tables each day with a peer using flash cards. | |

|Provide practice of division facts using a computer software program or a hand-held educational device that gives | |

|immediate feedback to the student. | |

| | |

| | |

-----------------------

Materials:

• Math board

• Counting tape

• Base-ten blocks

Lesson 2.1

Games/Activities Key:

• Computation and Mental Math

• Geometry and Measurement

• Challenge

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