BOE Approved 4/15​
GRADE:
Cliffside Park Public Schools
5
Duration: Duration: December Topic 10: ​
Adding and Subtracting Mixed Numbers Topic 11: ​
Multiplying and Dividing Fractions and Mixed Numbers Topic 13: ​
Units of Measurement (Fridays) Resource:​
Pearson Envision Math 2012 Learning Objectives: Topic 10: ●
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Write improper fractions and mixed numbers and mixed numbers as improper fractions, and they place them on a number line. Estimate sums and differences of fractions and mixed numbers by rounding to the nearest whole number. Use models to add and subtract mixed numbers. Use models and computational procedures to add mixed numbers. Use models and computational procedures to subtract mixed numbers. Solve more complex problems involving the addition and subtraction of mixed numbers​
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Use fractions to represent division, and locate and place fractions on a number line Multiply a fraction by a whole number Use compatible numbers and rounding to estimate with fractions Give the product of two fractions BOE Approved 4/15​
GRADE:
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Cliffside Park Public Schools
5
Find the area of rectangles Compare the size of the product to the size of one factor without multiplying as they begin to consider multiplication as scaling Divide whole numbers by fractions Discover the inverse relationship between multiplication and division that will help to divide unit fractions by whole numbers Topic 13 ●
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Understand that relationships like 1 foot = 12 inches can be used to convert customary length measurements 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: ​
December Essential Questions: Topic 10: ● What does it mean to add and subtract mixed numbers? ● What is a standard procedure for adding and subtracting mixed numbers? Topic 11: ● What are standard procedures for estimating and finding products and quotients of fractions and mixed numbers? Topic 13: ● What are customary measurement units and how are they related? ● What are metric measurement units and how are they related? BOE Approved 4/15​
GRADE:
Cliffside Park Public Schools
5
Enduring Understandings: Topic 10: ●
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Fractional amounts greater than one can be represented using the whole number and a fraction. Whole number amounts can be represented as fractions. When the numerator and denominator are equal, the fraction equals one. Fractions greater than one can be named using a whole number and a fraction or an improper fraction. Models can be used to show different ways of adding and subtracting mixed numbers. There is more than one way to add or subtract mixed numbers. Sums and differences of mixed numbers can be estimated by rounding each mixed number to the nearest whole number. One way to add or subtract mixed numbers is to utilize a number line to model and find common denominators. Sometimes whole numbers or fractions need to be renamed. Topic 11: ●
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A fraction describes the division of a whole into equal parts, and it can be interpreted in more than one way depending on the whole to be divided The product of a whole number and a fraction can be interpreted in different ways. One interpretation is repeated addition. Multiplying a whole number by a fraction involves division as well as multiplication. The product is a fraction of the whole number. A unit square can be used to show the area meaning of fraction multiplication. When you multiply two fractions that are both less than 1, the product is smaller than either fraction. To multiply fractions, write the product of the numerators over the product of the denominators. The inverse relationship between multiplication and division can be used to divide with fractions. Rounding and compatible numbers can be used to estimate the product of fractions or mixed numbers. The relative size of the factors can be used to determine the relative size of the product. One way to find the product of mixed numbers is to change the calculation to an equivalent one involving improper fractions. BOE Approved 4/15​
GRADE:
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Cliffside Park Public Schools
5
One way to find the quotient of a whole number divided by a fraction is to multiply the whole number by the reciprocal of the fractio Relevant Standards: ​
(i.e., CCSS; NJCCCS; NGSS) Topic 10: ​
5.NF.1, 5.NF.2 Topic 11: ​
5.NF.3, 5NF.4, 5.NF.4.A, 5.NF.4.B, 5.NF.5, 5.NF.5.A, 5.NF.5.B, 5.NF.6, 5.NF.7, 5.NF.7.A, 5.NF.7.B, 5.NF.7.C, 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. Interdisciplinary Connections: LEVELED READERS: Cruising the Caribbean ​
(WorldScapes Readers) The Mighty Metcong​
(WorldScapes Readers) Destination Hawaii ​
(WorldScapes Readers) Science: Bats are the only mammal that can truly fly. The smallest bat in the world is the bumblebee bat of Thailand with a wingspan of about 61/2 inches. BOE Approved 4/15​
GRADE:
Cliffside Park Public Schools
5
Have each student research the length of different species of bats. For each one, students should write the wingspan as a mixed number. Then students should create story problems that involve adding and subtracting these mixed numbers. Social Studies: Florida fishing industry provides more than 90% of the nation's supply of grouper, pompano, mullet, stone crab, pink shrimp, spiny lobsters, and Spanish mackerel. Florida seafood harvest contributes almost 1 billion dollars annually to the state’s economy, and Florida has more seafood processing plant than any other state. Have each student use the internet to find Florida fishing records. Have them choose 3 records and for each one draw a picture of the fish and state it weight in pounds. Then they should convert the wait to ounces. Post the papers on a “Florida Fishing Records” bulletin board. Tier 2 Vocabulary: ​
represent, analyze, convert Tier 3 Vocabulary: ​
resizing, scaling, reciprocal, improper fraction, proper fraction, mixed number, customary, metric 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 ● www.Brainpopjr.com BOE Approved 4/15​
GRADE:
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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
st ​
21​
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.
CRP7. Employ valid and reliable research strategies.
CRP8. Utilize critical thinking to make sense of problems and persevere in solving them.
CRP10. Plan education and career paths aligned to personal goals.
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 Spiraling (through daily review) Problem of the day (use strategies to solve problems) Pearson Interactive Software Assessment ●
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Topic 10 Test Topic 11 Test Topic 13 Test Renaissance Study Island Topic Tests Benchmark Tests Quick Checks Problem of the Day Addition/ Subtraction/Multiplication/Division Time Test Formative: conversation, observation, journal writing, self­assessment and daily work/homework Summative: Chapter Tests/Quizzes, Minute Math Book Performance­based: Hands­on Activities SmartBoard Activities BOE Approved 4/15​
GRADE:
Cliffside Park Public Schools
5
● 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.) speaking and writing prompts. Pattern Blocks Exploration of art and/or artists to understand society and history. Cooperative Learning: Team Assisted Individualization (TAI) 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 Modify homework, classwork, and tests. Add time as needed. Provide copy of classnotes Preferential seating to be mutually determined by the student and teacher Cliffside Park Public Schools
BOE Approved 4/15​
GRADE:
5
Implement RAFT Activities as they pertain to the types / modes of communication (role, audience, format, topic). Anchor Activities Use of Higher Level Questioning Techniques
Provide assessments at a higher level of thinking
– heterogenEous groups helping each other Explicit Systematic Instruction​
: teacher demonstration, thinking aloud, about decision­making, opportunities for student questions and answers Pair visual prompts with verbal presentations
Repetition and and practice
Extra textbooks for home. Model skills / techniques to be mastered. Student may request books on tape / CD / digital media, as available and appropriate. Pair visual prompts with verbal presentations Ask students to restate information, directions, and assignments. Ask students to restate information, directions, and assignments.
Extended time to complete class work Establish expectations for correct spelling on assignments. Assign a peer helper in the class setting Preferential seating to be mutually determined by the student and teacher Provide oral reminders and check student work during independent work time
Student may request to use a computer to complete assignments. Assist student with long and short term planning of assignments
Modifications for Homework/Assignments
Modified Assignments
Establish expectations for correct spelling on assignments. Provide copy of classnotes Repetition and and practice
Model skills / techniques to be mastered. Student may request to use a computer to complete assignments. Establish expectations for correct spelling on assignments. Extra textbooks for home. 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
Cliffside Park Public Schools
BOE Approved 4/15​
GRADE:
5
Native Language Translation (peer, online assistive technology, translation device, bilingual dictionary)
Extended time for assignment completion as needed
Highlight key vocabulary
time Use graphic organizers
Assign a peer helper in the class setting Provide oral reminders and check student work during independent work 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.
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). Modifications for Assessments Extended time on classroom tests and quizzes.
Student may take/complete tests in an BOE Approved 4/15​
GRADE:
Cliffside Park Public Schools
5
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
Distribute study guide for classroom tests.
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
Establish procedures for accommodations / modifications for assessments. 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