BOE Approved 4/15​
GRADE:
Cliffside Park Public Schools
5
Duration:​
January Topic 4: ​
Dividing by 1­Digit Divisors Topic 5: ​
Dividing by 2­Digit Divisors Topic 13: ​
Units of Measurement (Fridays) Resource:​
Pearson Envision Math 2012 Topic 4: ●
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Find the quotient of a division problem whose dividend is a multiple of 10, where division involves a basic fact Use rounding and compatible numbers to estimate quotients of whole numbers. Find quotient using the model of sharing money Divide 3 digit whole numbers by 1 digit divisors Topic 5: ●
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Find the quotient of division problems whose dividends and divisors are multiples of 10, where the division involves a basic fact. Use estimation to find approximate solutions to division problems with two­digit divisors using compatible numbers. Used arrays and area model to model division. Find quotients with a 2­digit divisor that is a multiple of 10. Find 1­digit quotients where the divisor is a 2­digit number. Divide 3­digit number by 2­digit number to find a 2­digit quotient. Topic 13: ●
Understand that relationships like 1 foot = 12 inches can be used to convert customary length measurements BOE Approved 4/15​
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Cliffside Park Public Schools
5
Convert from one unit of customary length (inches, feet, yards, and miles) to another Convert from one unit of customary capacity (gallons, quarts, pints, cups, and fluid ounces) to another Convert from one customary unit of weight ounces, pounds, and comes to another and apply this skill to compare quantities Convert one metric unit of length (kilometer, meter, centimeter, and millimeter )into another Convert from one metric unit of capacity (liter and milliliters) to another Convert from one metric unit of mass (milligrams, grams, and kilograms) to another Duration: ​
January Essential Questions: Topic 4: ● What is the standard procedure for division and why does it work? Topic 5: ● What is the standard procedure for dividing with two­digit divisors? Topic 13: ● What are customary measurement units and how are they related? ● What are metric measurement units and how are they related? Enduring Understandings: ●
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Using basic facts and patterns can be helpful and dividing by multiples of 10. Using area model and arrays can help students understand the algorithm for dividing by 2 digit divisors. BOE Approved 4/15​
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Cliffside Park Public Schools
5
Some real­world quantities to have a mathematical relationship semicolon the value of one quantity can be found if you know the value of the other quantity. Patterns can sometimes be used to identify the relationship between quantities. There is more than one way to estimate each quotient. Substituting compatible numbers is an efficient technique for estimating quotients. Dividing by 2­digit divisors is just an extension of the steps for dividing with 1­digit divisors. Estimation and place value can help determine the placement of digits in the quotient. Dividing with multi digit divisors is just an extension of the steps for dividing with 1 and 2­digit divisors. Estimation and place value can help determine the placement of digits in the quotient. Place value patterns can be used to mentally divide decimals by 10, 100, or 1000. Estimating quotients for whole number divisors and dividends can be applied to calculations with decimal dividend and divisor. The student compatible numbers can be used in most cases. The location of decimal point in the decimal division calculations can sometimes be decided by reasoning about the relative size of the given numbers. The standard division algorithm involving decimals is an extension of the standard algorithm for dividing whole numbers. A number divided by a decimal can be represented as an equivalent calculation using place value to change the divisor to a whole number. Relevant Standards: ​
(i.​
e., CCSS; NJCCCS; NGSS) Topic 4: ​
5.NBT.6, 5.OA.2 Topic 5: ​
5.NBT.6 Topic 13: ​
5.MD.1 CCSS.MATH.PRACTICE.MP1​
Make sense of problems and persevere in solving them. CCSS.MATH.PRACTICE.MP2​
Reason abstractly and quantitatively. CCSS.MATH.PRACTICE.MP3​
Construct viable arguments and critique the reasoning of others.
CCSS.MATH.PRACTICE.MP4​
Model with mathematics.
CCSS.MATH.PRACTICE.MP5​
Use appropriate tools strategically.
CCSS.MATH.PRACTICE.MP6​
Attend to precision.
CCSS.MATH.PRACTICE.MP7​
Look for and make use of structure.
CCSS.MATH.PRACTICE.MP8​
Look for and express regularity in repeated reasoning. BOE Approved 4/15​
GRADE:
Cliffside Park Public Schools
5
Interdisciplinary Connections LEVELED READERS: ​
Everest Adventures ​
(WorlsScapes Readers) Social Studies: Have students research hiking trails in national parks that people use. Ask them to find the round trip length of the trails and the time to hike the trail suggested by the Park Service. Have them determine the average time a person would take to complete a round trip on the trail. Tier 2 Vocabulary:​
analyze, compare, determine, customary, metric Tier 3 Vocabulary: ​
dividend, divisor, quotient Core Instructional Materials/Resources/Digital Tools:
i.e., specific textbooks, classroom resources, digital tools, links to websites and videos
enVision Math: Common Core, ​
Pearson Education, Inc. 2012. Hyde, Arthur. ​
Comprehending Math,: Adapting Reading Strategies to Teach Mathematics, K­6.​
2006 Murray, Miki. ​
The Differentiated Math Classroom: A Guide for Teachers, K­8. ​
2007. Math Process Standards Series. ​
2007. Heinemann. O’Connell, Susan. ​
Now I Get It: Strategies for Building confident and Competent Mathematicians, K­6. ​
2005. Websites: ● www.mathblaster.com BOE Approved 4/15​
GRADE:
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Cliffside Park Public Schools
5
www.Brainpopjr.com www.atmath.com www.funbrain.com www.multiplication.com www.scholastic.com www.elearning4kids.com www.enchantedlearning.com www.mathcats.com www.abcya.com www.aplusmath.com www.exchange.smarttech.com www.superteacherworksheets.com www.edhelper.com www.abcteach.com www.studyisland.com www.softschools.com www.Khanacademy.com
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Century Themes and Skills:
12 Career Ready Practices follow the link below.
(CRP Standards)
http://www.state.nj.us/education/cccs/2014/career/CareerReadyPractices.pdf
CRP2. Apply appropriate academic and technical skills.
CRP4. Communicate clearly and effectively and with reason.
CRP8. Utilize critical thinking to make sense of problems and persevere in solving them.
8.1 Educational Technology
http://www.state.nj.us/education/cccs/2014/tech/8.pdf
BOE Approved 4/15​
GRADE:
Cliffside Park Public Schools
5
8.1.5.A.1​
Select and use the appropriate digital tools and resources to accomplish a variety of tasks including solving problems. 8.1.5.A.2​
Format a document using a word processing application to enhance text and include graphics, symbols and/ or pictures. 8.1.5.A.3​
Use a graphic organizer to organize information about problem or issue. 8.1.5.A.4​
Graph data using a spreadsheet, analyze and produce a report that explains the analysis of the data 8.1.5.A.5​
Create and use a database to answer basic questions. 8.1.5.A.6​
Export data from a database into a spreadsheet; analyze and produce a report that explains the analysis of the data. 8.2 Technology Education, Engineering,
Design, and Computation
8.2.5.A.1​
Compare and contrast how products made in nature differ from products that are human made in how they are produced and used. 8.2.5.A.2​
Investigate and present factors that influence the development and function of a product and a system. 8.2.5.A.3​
Investigate and present factors that influence the development and function of products and systems, e.g., resources, criteria and constraints 8.2.5.A.4​
Compare and contrast how technologies have changed over time due to human needs and economic, political and/or cultural influences. 8.2.5.A.5​
Identify how improvement in the understanding of materials science impacts technologies. Assessments and Performance Tasks:
Locally developed assessments should be referenced here, example of assessments will need to be
provided during a QSAC visit.
Cliffside Park Public Schools
BOE Approved 4/15​
GRADE:
5
Activities: ●
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Flexible Grouping ipad use Study Island Math Journals Writing Word Problems ●
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Spiraling (through daily review) Problem of the day (use strategies to solve problems) Websites? PowerPoint Presentations Graph­Spreadsheets SmartBoards Pearson Interactive Software Assessment: ●
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Topic 4 Test Topic 5 Test Topic 13 Test Renaissance Study Island Topic Tests Benchmark Tests Quick Checks Problem of the Day Addition/ Subtraction/Multiplication/Division Time Test Cliffside Park Public Schools
BOE Approved 4/15​
GRADE:
5
Formative: conversation, observation, journal writing, self­assessment and daily work/homework Summative: Chapter Tests/Quizzes, Minute Math Book ● Performance­based: Hands­on Activities ● SmartBoard Activities ● Exit Slips ●
Differentiation/Accommodations/Modifications Gifted and Talented
(content, process, product and learning
environment)
English Language Learners
Modifications for Classroom Manipulatives Extension Activities
Conduct research and provide Visual Models presentation of cultural topics. Concrete Objects Design surveys to generate and analyze data to be used in discussion Leading Questions Debate topics of interest / cultural importance. Act Out Authentic listening and reading sources Tools (rulers, measuring cups, that provide data and support for scales, etc.) Students with Disabilities
(appropriate accommodations, instructional
adaptations, and/or modifications as
determined by the IEP or 504 team)
(Some of these are already on here,
please check)
Modifications for Classroom Students at Risk of School Failure
Modifications for Classroom Pair visual prompts with verbal presentations
Ask students to restate information, directions, and assignments.
Review, restate, and repeat directions. Repetition and and practice
Break assignments into segments of shorter tasks. Model skills / techniques to be mastered. Reduce number of concepts presented. Extended time to complete class work Cliffside Park Public Schools
BOE Approved 4/15​
GRADE:
5
speaking and writing prompts. Pattern Blocks Cooperative Learning: Team Exploration of art and/or artists to Assisted Individualization (TAI) understand society and history. – heterogenEous groups helping each other Implement RAFT Activities as they pertain to the types / modes of Explicit Systematic Instruction​
: communication (role, audience, format, teacher demonstration, thinking topic). aloud, about decision­making, opportunities for student questions Anchor Activities and answers Use of Higher Level Questioning Techniques
Provide assessments at a higher level of thinking
Pair visual prompts with verbal presentations Ask students to restate information, directions, and assignments. Repetition and and practice
Model skills / techniques to be mastered. Establish expectations for correct spelling on assignments. Modifications for Homework/Assignments
Modify homework, classwork, and tests. Provide copy of classnotes Add time as needed. Preferential seating to be mutually determined by the student and teacher Pair visual prompts with verbal presentations
Ask students to restate information, directions, and assignments.
Student may request to use a computer to complete assignments. Establish expectations for correct spelling on assignments. Repetition and and practice
Extra textbooks for home. Model skills / techniques to be mastered. Extended time to complete class work Provide copy of classnotes Preferential seating to be mutually determined by the student and teacher Student may request to use a computer to complete assignments. Establish expectations for correct spelling on assignments. Student may request books on tape / CD / digital media, as available and appropriate. Assign a peer helper in the class setting Provide oral reminders and check student work during independent work time
Assist student with long and short term planning of assignments
Cliffside Park Public Schools
BOE Approved 4/15​
GRADE:
5
Modified Assignments
Extra textbooks for home. Native Language Translation (peer, online assistive technology, translation device, bilingual dictionary)
Student may request books on tape / CD / digital media, as available and appropriate. Encourage student to proofread assignments and tests Provide regular parent/ school communication
Extended time for assignment completion as needed
Highlight key vocabulary
Use graphic organizers
Assign a peer helper in the class setting Teachers will check/sign student agenda daily
Student requires use of other assistive technology device Provide oral reminders and check student work during independent work time Assist student with long and short term planning of assignments
Encourage student to proofread assignments and tests Provide regular parent/ school communication
Teachers will check/sign student agenda daily
Student requires use of other assistive technology device Modifications for Homework and Assignments Extended time to complete assignments.
Student requires more complex assignments to be broken up and explained in smaller units, with work to be submitted in phases. Provide the student with clearly stated (written) expectations and grading criteria for assignments. Implement RAFT activities as they pertain to the types / modes of communication (role, audience, format, topic). BOE Approved 4/15​
GRADE:
Cliffside Park Public Schools
5
Modifications for Homework and Assignments Extended time to complete assignments.
Student requires more complex assignments to be broken up and explained in smaller units, with work to be submitted in phases. Provide the student with clearly stated (written) expectations and grading criteria for assignments. Implement RAFT activities as they pertain to the types / modes of communication (role, audience, format, topic). Modifications for Assessments Extended time on classroom tests and quizzes.
Student may take/complete tests in an alternate setting as needed.
Restate, reread, and clarify directions/questions
Modifications for Assessments Extended time on classroom tests and quizzes.
Student may take/complete tests in an alternate setting as needed. Restate, reread, and clarify directions/questions Distribute study guide for classroom tests. Establish procedures for accommodations / modifications for assessments. BOE Approved 4/15​
GRADE:
Cliffside Park Public Schools
5
Distribute study guide for classroom tests.
Establish procedures for accommodations / modifications for assessments. SOURCES​
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SOURCES​
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Pearson Envision Math 2012; 2014 21st Century CCCS; 2014 Technology CCCS; Math CCSS ​
Common Core State Standards​
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CCSS.MATH.PRACTICE​
S; Career Ready Practices 2014