Exemplar 6 th Grade Math Unit: Prime Factorization, Greatest Common Factor, and Least Common Multiple


 Everett Norman
 3 years ago
 Views:
Transcription
1 Exemplar 6 th Grade Math Unit: Prime Factorization, Greatest Common Factor, and Least Common Multiple Unit Plan Components Big Goal Standards Big Ideas Unpacked Standards Scaffolded Learning Resources Appropriate Length of Time Aligned Assessment Comments This unit plan identifies a big goal for the overall unit assessment, as well as goals for each daily formative assessment. The big goal is written for all students, not a set percentage. Math content standards have been identified from the Common Core State Standards. Additionally, corresponding Mathematical have been selected for this unit. The Mathematical logically connect to the unit s content standards. Remediation standards have been identified from the fifth grade Common Core State Standards and mastery of them will support mastery of the first grade standards. Enrichment standards have not been identified because there are no corresponding standards in seventh grade. However, with the CCSS enrichment should be deepening student understanding of the grade level standards. The big ideas for this unit have been identified and written in with the unit s Big Goal. The CCSS have been unpacked into daily objectives. Each daily objective is written with a measurable verb and can be completed in a single lesson. The daily objectives build on one another in a logical sequence. Resources have been identified for the overall unit, as well as for individual objectives. The unit is designed for 13 days. There are 11 daily objectives, plus one buffer day and one day for the assessment. The buffer day is included to circumvent potential schedule changes. Each daily objective has one corresponding assessment item. Because all daily objectives build to a single standard, there is not a need for multiple assessment items per objective.
2 Prime Factorization, Greatest Common Factor and Least Common Multiple Common Core Standard: 6.NS.4 Mathematical 6. Notes and Resources 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 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express as 4(9 + 2) Construct viable arguments and critique the reasoning of others: In grade 6, students construct arguments using verbal or written explanations accompanied by expressions, equations, inequalities, models, and graphs, tables, and other data displays (i.e. box plots, dot plots, histograms, etc.). They further refine their mathematical communication skills through mathematical discussions in which they critically evaluate their own thinking and the thinking of other students. They pose questions like How did you get that?, Why is that true? Does that always work? They explain their thinking to others and respond to others thinking. There are resources located for individual objectives throughout the unit plan. The resources included in this section apply to multiple objectives. They should be used to help develop the teacher s content knowledge and to consider how topics could be introduced to students. Khan Academy  Greatest Common Factor and Least Common Multiple (including word problems) Inside Mathematics provides resources and videos that illustrate what a classroom focused on discussion and explanation could look like. Unit Goal Remediation Standards Enrichment Standards Unit Timing All students will score at least an 80% on the End of Unit Assessment. All students will score at least an 80% on daily formative assessments (e.g. observational notes, exit tickets, etc.) By the end of this unit students will be able to work with factors through 12 and multiples through 100, both in straight math and word problems. Additionally, students will develop the skill of explaining their mathematical reasoning (mathematical practices) as they apply the content. 5.NBT.5. Fluently multiply multidigit whole numbers using the standard algorithm. 5.NBT.6. Find wholenumber quotients of whole numbers with up to fourdigit dividends and twodigit 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. There are no additional standards to push toward enrichment, however enrichment should be created through these standards and could include, more challenging word problems, larger numbers, or working with more than 2 numbers. This unit has been designed for 13 days. There are 11 daily objectives, plus one buffer day and a day for the assessment. Each objective is intended to be taught in a single day. Objectives are listed in the order they should be taught.
3 Mathematical Objective Notes Assessment Item Answer reasoning when determining if a number is prime or composite. An explanation of prime and composite numbers, and how to identify them are included at Khan Academy  Prime and Composite Numbers This is a remedial objective, found in the 5 th grade Common Core State Standards. However, because it is a foundational skill for later objectives, it is included in this unit plan. Teachers should use their judgment when analyzing diagnostic assessment data to determine the best setting for teaching this objective (whole class, small group, etc.). Determine if the numbers below are prime or composite. Then, justify your decision I know that 32 is a composite number because it has more than 2 factors. Factors of 32 include: 1, 32, 2, 16, 4, and 8. I know that 2 is prime because it only has two factors, 1 and itself. NOTE: Student must answer both parts of the question correctly to receive credit. Common Misconception: Students often think that all odd numbers are prime and all even numbers are composite. To circumvent this misconception, teachers should provide clear definitions and examples early in the lesson. finding the greatest common factor of two whole numbers less than 100 using factors lists. NOTE: 1 is neither prime nor composite. Explain how you would find the greatest common factor of 36 and 72 using factor lists. I know that factors are the numbers I multiply together to get a product. 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 Now I have to find the largest factor that they have in common. I see that it s 36. GCF = 36
4 Mathematical Objective Notes Assessment Item Answer finding the prime factorization of a number less than 100. finding the greatest common factor of two whole numbers less than 100 using prime factorization. rewriting addition sentences using the distributive property and greatest common factors. finding the least common multiple of two whole numbers less than or equal to 12 using multiple lists. There is not an explicit lesson on using exponents when writing the prime factorization of a number. Teachers should analyze the diagnostic assessment data to determine student proficiency and understanding of using exponents. A mini lesson on exponents may need to be included prior to this lesson. Explain how you would find the prime factorization of 36. Explain how you would find the greatest common factor of 50 and 48 using prime factorization. Explain how you would rewrite by using the distributive property. Explain how you would use multiple lists to find the least common multiple of 8 and 9. Possible explanation is included on the assessment attachment. Answer 36 = 3 x 3 x 2 x 2 or 3 2 x 2 2 Possible explanation included on the assessment attachment Answer The greatest common factor is 2. To rewrite an addition expression I need to find the GCF. Using factor lists I know that 7 is the GCF of 84 and 28. I put the GCF on the outside of the parenthesis and its other factor inside: 7 (12+4) I know that multiples are the To use multiple lists I have to list the multiples of 8 and 9. 8: 8, 16, 24, 32,40, 48, 56, 64, 72, 80, 88, 96 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108 Next I need to find the smallest multiple that is in both lists. I see that number is 72. LCM = 72
5 Mathematical Objective Notes Assessment Item Answer using prime factorization to find the least common multiple of two numbers that are less than or equal to 12.. solving word problems involving greatest common factor. solving word problems involving least common multiple. Students should explain how they knew it was a great common factor problem in their explanation. Although not explicit in the objective, in their explanation students should explain how they knew it was a least common multiple problem. Explain how you would use prime factorization to find the least common multiple of 12 and 10. Thayer bought 48 cupcakes and bought 32 pieces of pizza for his sister s birthday party. Each guest will receive the same number of cupcakes and pizza. What is the maximum number of guests that can attend the party? How many cupcakes will each guest receive? How many pieces of pizza will each guest receive? Explain your thinking as you solve this problem. Train A passes the Haddonfield Station every 10 minutes. Train B passes the station every 8 minutes. In how many minutes will they pass the station at the same time? Explain your thinking as you solve this problem. Possible explanation included on the assessment attachment Answer The least common multiple is 60. NOTE: Students could choose to solve using factor lists or prime factorization. Teachers should use their judgment and the explanations provided in previous GCF problems when determining student mastery. Sixteen guests can attend the party (GCF) Each guest will receive 2 pieces of pizza and 3 cupcakes. NOTE: Students could choose to solve using multiple lists or prime factorization. Teachers should use their judgment and the explanations in previous LCM problems when determining student mastery. The trains will pass the station at the same time in 40 minutes.
6 Score Level Mathematical Knowledge and Explanation The answer is correct and all steps necessary to solve are shown. If necessary, the answer is labeled (typically for word problems) The written or oral explanation includes details about what they did and why they did it with specific correct vocabulary If specified by the question, includes a picture or model with a clear explanation of all components The answer is correct and all steps necessary to solve are shown If necessary, the answer is labeled (typically for word problems) The written or oral explanation includes details about what they did, but may be less specific with why they did it If specified by the question, includes a picture or provides a model with a mostly clear explanation of all components The answer is correct, but the explanation provided is incorrect or minimal The answer is incorrect, but the explanation provided demonstrates understanding of most of the concept If the assessment item requires a picture or model, but it is not included, students score a 2 (even with a correct answer and explanation) 1 Both the answer and the explanation are incorrect 0 The answer is incorrect and an explanation is not provided
South Carolina College and CareerReady Standards for Mathematics. Standards Unpacking Documents Grade 5
South Carolina College and CareerReady Standards for Mathematics Standards Unpacking Documents Grade 5 South Carolina College and CareerReady Standards for Mathematics Standards Unpacking Documents
More informationThis scope and sequence assumes 160 days for instruction, divided among 15 units.
In previous grades, students learned strategies for multiplication and division, developed understanding of structure of the place value system, and applied understanding of fractions to addition and subtraction
More informationFocus of the Unit: Much of this unit focuses on extending previous skills of multiplication and division to multidigit whole numbers.
Approximate Time Frame: 34 weeks Connections to Previous Learning: In fourth grade, students fluently multiply (4digit by 1digit, 2digit by 2digit) and divide (4digit by 1digit) using strategies
More informationAre You Ready? Simplify Fractions
SKILL 10 Simplify Fractions Teaching Skill 10 Objective Write a fraction in simplest form. Review the definition of simplest form with students. Ask: Is 3 written in simplest form? Why 7 or why not? (Yes,
More informationGrade 5 + DIGITAL. EL Strategies. DOK 14 RTI Tiers 13. Flexible Supplemental K8 ELA & Math Online & Print
Standards PLUS Flexible Supplemental K8 ELA & Math Online & Print Grade 5 SAMPLER Mathematics EL Strategies DOK 14 RTI Tiers 13 1520 Minute Lessons Assessments Consistent with CA Testing Technology
More informationPage 1 of 11. Curriculum Map: Grade 4 Math Course: Math 4 Subtopic: General. Grade(s): None specified
Curriculum Map: Grade 4 Math Course: Math 4 Subtopic: General Grade(s): None specified Unit: Creating a Community of Mathematical Thinkers Timeline: Week 1 The purpose of the Establishing a Community
More informationMontana Content Standards for Mathematics Grade 3. Montana Content Standards for Mathematical Practices and Mathematics Content Adopted November 2011
Montana Content Standards for Mathematics Grade 3 Montana Content Standards for Mathematical Practices and Mathematics Content Adopted November 2011 Contents Standards for Mathematical Practice: Grade
More informationExtending Place Value with Whole Numbers to 1,000,000
Grade 4 Mathematics, Quarter 1, Unit 1.1 Extending Place Value with Whole Numbers to 1,000,000 Overview Number of Instructional Days: 10 (1 day = 45 minutes) Content to Be Learned Recognize that a digit
More informationRendezvous with Comet Halley Next Generation of Science Standards
Next Generation of Science Standards 5th Grade 6 th Grade 7 th Grade 8 th Grade 5PS13 Make observations and measurements to identify materials based on their properties. MSPS14 Develop a model that
More informationAlgebra 1, Quarter 3, Unit 3.1. Line of Best Fit. Overview
Algebra 1, Quarter 3, Unit 3.1 Line of Best Fit Overview Number of instructional days 6 (1 day assessment) (1 day = 45 minutes) Content to be learned Analyze scatter plots and construct the line of best
More informationStatewide Framework Document for:
Statewide Framework Document for: 270301 Standards may be added to this document prior to submission, but may not be removed from the framework to meet state credit equivalency requirements. Performance
More informationWritten by Wendy Osterman
PreAlgebra Written by Wendy Osterman Editor: Alaska Hults Illustrator: Corbin Hillam Designer/Production: Moonhee Pak/Cari Helstrom Cover Designer: Barbara Peterson Art Director: Tom Cochrane Project
More informationAlgebra 1 Summer Packet
Algebra 1 Summer Packet Name: Solve each problem and place the answer on the line to the left of the problem. Adding Integers A. Steps if both numbers are positive. Example: 3 + 4 Step 1: Add the two numbers.
More informationThe New York City Department of Education. Grade 5 Mathematics Benchmark Assessment. Teacher Guide Spring 2013
The New York City Department of Education Grade 5 Mathematics Benchmark Assessment Teacher Guide Spring 2013 February 11 March 19, 2013 2704324 Table of Contents Test Design and Instructional Purpose...
More informationAnalyzing Linguistically Appropriate IEP Goals in Dual Language Programs
Analyzing Linguistically Appropriate IEP Goals in Dual Language Programs 2016 Dual Language Conference: Making Connections Between Policy and Practice March 19, 2016 Framingham, MA Session Description
More informationCommon Core Standards Alignment Chart Grade 5
Common Core Standards Alignment Chart Grade 5 Units 5.OA.1 5.OA.2 5.OA.3 5.NBT.1 5.NBT.2 5.NBT.3 5.NBT.4 5.NBT.5 5.NBT.6 5.NBT.7 5.NF.1 5.NF.2 5.NF.3 5.NF.4 5.NF.5 5.NF.6 5.NF.7 5.MD.1 5.MD.2 5.MD.3 5.MD.4
More informationCommon Core State Standards
Common Core State Standards Common Core State Standards 7.NS.3 Solve realworld and mathematical problems involving the four operations with rational numbers. Mathematical Practices 1, 3, and 4 are aspects
More informationOhio s Learning StandardsClear Learning Targets
Ohio s Learning StandardsClear Learning Targets Math Grade 1 Use addition and subtraction within 20 to solve word problems involving situations of 1.OA.1 adding to, taking from, putting together, taking
More informationGrade 6: Correlated to AGS Basic Math Skills
Grade 6: Correlated to AGS Basic Math Skills Grade 6: Standard 1 Number Sense Students compare and order positive and negative integers, decimals, fractions, and mixed numbers. They find multiples and
More informationMathUSee Correlation with the Common Core State Standards for Mathematical Content for Third Grade
MathUSee Correlation with the Common Core State Standards for Mathematical Content for Third Grade The third grade standards primarily address multiplication and division, which are covered in MathUSee
More informationEQuIP Review Feedback
EQuIP Review Feedback Lesson/Unit Name: On the Rainy River and The Red Convertible (Module 4, Unit 1) Content Area: English language arts Grade Level: 11 Dimension I Alignment to the Depth of the CCSS
More informationMath Grade 3 Assessment Anchors and Eligible Content
Math Grade 3 Assessment Anchors and Eligible Content www.pde.state.pa.us 2007 M3.A Numbers and Operations M3.A.1 Demonstrate an understanding of numbers, ways of representing numbers, relationships among
More informationLesson 12. Lesson 12. Suggested Lesson Structure. Round to Different Place Values (6 minutes) Fluency Practice (12 minutes)
Objective: Solve multistep word problems using the standard addition reasonableness of answers using rounding. Suggested Lesson Structure Fluency Practice Application Problems Concept Development Student
More informationAGS THE GREAT REVIEW GAME FOR PREALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS
AGS THE GREAT REVIEW GAME FOR PREALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS 1 CALIFORNIA CONTENT STANDARDS: Chapter 1 ALGEBRA AND WHOLE NUMBERS Algebra and Functions 1.4 Students use algebraic
More informationClassroom Connections Examining the Intersection of the Standards for Mathematical Content and the Standards for Mathematical Practice
Classroom Connections Examining the Intersection of the Standards for Mathematical Content and the Standards for Mathematical Practice Title: Considering Coordinate Geometry Common Core State Standards
More informationObjective: Add decimals using place value strategies, and relate those strategies to a written method.
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 9 5 1 Lesson 9 Objective: Add decimals using place value strategies, and relate those strategies to a written method. Suggested Lesson Structure Fluency Practice
More informationArizona s College and Career Ready Standards Mathematics
Arizona s College and Career Ready Mathematics Mathematical Practices Explanations and Examples First Grade ARIZONA DEPARTMENT OF EDUCATION HIGH ACADEMIC STANDARDS FOR STUDENTS State Board Approved June
More informationLLD MATH. Student Eligibility: Grades 68. Credit Value: Date Approved: 8/24/15
PUBLIC SCHOOLS OF EDISON TOWNSHIP DIVISION OF CURRICULUM AND INSTRUCTION LLD MATH Length of Course: Elective/Required: School: Full Year Required Middle Schools Student Eligibility: Grades 68 Credit Value:
More informationCal s Dinner Card Deals
Cal s Dinner Card Deals Overview: In this lesson students compare three linear functions in the context of Dinner Card Deals. Students are required to interpret a graph for each Dinner Card Deal to help
More informationGrade 2: Using a Number Line to Order and Compare Numbers Place Value Horizontal Content Strand
Grade 2: Using a Number Line to Order and Compare Numbers Place Value Horizontal Content Strand Texas Essential Knowledge and Skills (TEKS): (2.1) Number, operation, and quantitative reasoning. The student
More informationTHE PENNSYLVANIA STATE UNIVERSITY SCHREYER HONORS COLLEGE DEPARTMENT OF MATHEMATICS ASSESSING THE EFFECTIVENESS OF MULTIPLE CHOICE MATH TESTS
THE PENNSYLVANIA STATE UNIVERSITY SCHREYER HONORS COLLEGE DEPARTMENT OF MATHEMATICS ASSESSING THE EFFECTIVENESS OF MULTIPLE CHOICE MATH TESTS ELIZABETH ANNE SOMERS Spring 2011 A thesis submitted in partial
More informationDublin City Schools Mathematics Graded Course of Study GRADE 4
I. Content Standard: Number, Number Sense and Operations Standard Students demonstrate number sense, including an understanding of number systems and reasonable estimates using paper and pencil, technologysupported
More informationUNIT ONE Tools of Algebra
UNIT ONE Tools of Algebra Subject: Algebra 1 Grade: 9 th 10 th Standards and Benchmarks: 1 a, b,e; 3 a, b; 4 a, b; Overview My Lessons are following the first unit from Prentice Hall Algebra 1 1. Students
More informationSyllabus ENGR 190 Introductory Calculus (QR)
Syllabus ENGR 190 Introductory Calculus (QR) Catalog Data: ENGR 190 Introductory Calculus (4 credit hours). Note: This course may not be used for credit toward the J.B. Speed School of Engineering B. S.
More informationSouth Carolina English Language Arts
South Carolina English Language Arts A S O F J U N E 2 0, 2 0 1 0, T H I S S TAT E H A D A D O P T E D T H E CO M M O N CO R E S TAT E S TA N DA R D S. DOCUMENTS REVIEWED South Carolina Academic Content
More informationAP Calculus AB. Nevada Academic Standards that are assessable at the local level only.
Calculus AB Priority Keys Aligned with Nevada Standards MA I MI L S MA represents a Major content area. Any concept labeled MA is something of central importance to the entire class/curriculum; it is a
More informationLesson 17: Write Expressions in Which Letters Stand for Numbers
Write Expressions in Which Letters Stand for Numbers Student Outcomes Students write algebraic expressions that record all operations with numbers and/or letters standing for the numbers. Lesson Notes
More informationMathematics Success Level E
T403 [OBJECTIVE] The student will generate two patterns given two rules and identify the relationship between corresponding terms, generate ordered pairs, and graph the ordered pairs on a coordinate plane.
More informationObjective: Model division as the unknown factor in multiplication using arrays and tape diagrams. (8 minutes) (3 minutes)
Lesson 11 3 1 Lesson 11 Objective: Model division as the unknown factor in multiplication using arrays Suggested Lesson Structure Fluency Practice Application Problem Concept Development Student Debrief
More information4 th Grade Number and Operations in Base Ten. Set 3. Daily Practice Items And Answer Keys
4 th Grade Number and Operations in Base Ten Set 3 Daily Practice Items And Answer Keys NUMBER AND OPERATIONS IN BASE TEN: OVERVIEW Resources: PRACTICE ITEMS Attached you will find practice items for Number
More informationGrade Five Chapter 6 Add and Subtract Fractions with Unlike Denominators Overview & Support Standards:
rade Five Chapter 6 Add and Subtract Fractions with Unlike Denominators Overview & Support Standards: Use equivalent fractions as a strategy to add and subtract fractions. Add and subtract fractions with
More informationMathematics Content Mathematical Practices ELD Standards
Lesson Title: Chapter/Unit: Mathematics Content Mathematical Practices ELD Standards Language & Learning Objective: Consider the opportunities and structures for students to read, write, listen, and speak
More informationBackwards Numbers: A Study of Place Value. Catherine Perez
Backwards Numbers: A Study of Place Value Catherine Perez Introduction I was reaching for my daily math sheet that my school has elected to use and in big bold letters in a box it said: TO ADD NUMBERS
More informationLet s think about how to multiply and divide fractions by fractions!
Let s think about how to multiply and divide fractions by fractions! June 25, 2007 (Monday) Takehaya Attached Elementary School, Tokyo Gakugei University Grade 6, Class # 1 (21 boys, 20 girls) Instructor:
More informationDraft Unit 1. Whole Number Computation and Application 8 Weeks. 1 Joliet Public Schools District 86 DRAFT Curriculum Guide , Grade 5, Unit 1
Draft Unit 1 Whole Number Computation and Application 8 Weeks 1 Joliet Public Schools District 86 DRAFT Curriculum Guide 20172018, Grade 5, Unit 1 2 Joliet Public Schools District 86 DRAFT Curriculum
More informationFinal Teach For America Interim Certification Program
Teach For America Interim Certification Program Program Rubric Overview The Teach For America (TFA) Interim Certification Program Rubric was designed to provide formative and summative feedback to TFA
More informationSample Problems for MATH 5001, University of Georgia
Sample Problems for MATH 5001, University of Georgia 1 Give three different decimals that the bundled toothpicks in Figure 1 could represent In each case, explain why the bundled toothpicks can represent
More informationMathematics process categories
Mathematics process categories All of the UK curricula define multiple categories of mathematical proficiency that require students to be able to use and apply mathematics, beyond simple recall of facts
More informationDiagnostic Test. Middle School Mathematics
Diagnostic Test Middle School Mathematics Copyright 2010 XAMonline, Inc. All rights reserved. No part of the material protected by this copyright notice may be reproduced or utilized in any form or by
More informationFourth Grade. Reporting Student Progress. Libertyville School District 70. Fourth Grade
Fourth Grade Libertyville School District 70 Reporting Student Progress Fourth Grade A Message to Parents/Guardians: Libertyville Elementary District 70 teachers of students in kindergarten5 utilize a
More informationCurriculum Design Project with Virtual Manipulatives. Gwenanne Salkind. George Mason University EDCI 856. Dr. Patricia MoyerPackenham
Curriculum Design Project with Virtual Manipulatives Gwenanne Salkind George Mason University EDCI 856 Dr. Patricia MoyerPackenham Spring 2006 Curriculum Design Project with Virtual Manipulatives Table
More informationStatistical Analysis of Climate Change, Renewable Energies, and Sustainability An Independent Investigation for Introduction to Statistics
5/22/2012 Statistical Analysis of Climate Change, Renewable Energies, and Sustainability An Independent Investigation for Introduction to Statistics College of Menominee Nation & University of Wisconsin
More informationSample Performance Assessment
Page 1 Content Area: Mathematics Grade Level: Six (6) Sample Performance Assessment Instructional Unit Sample: Go Figure! Colorado Academic Standard(s): MA10GR.6S.1GLE.3; MA10GR.6S.4GLE.1 Concepts
More informationAbout the Mathematics in This Unit
(PAGE OF 2) About the Mathematics in This Unit Dear Family, Our class is starting a new unit called Puzzles, Clusters, and Towers. In this unit, students focus on gaining fluency with multiplication strategies.
More informationLearning Disability Functional Capacity Evaluation. Dear Doctor,
Dear Doctor, I have been asked to formulate a vocational opinion regarding NAME s employability in light of his/her learning disability. To assist me with this evaluation I would appreciate if you can
More informationUnit 3: Lesson 1 Decimals as Equal Divisions
Unit 3: Lesson 1 Strategy Problem: Each photograph in a series has different dimensions that follow a pattern. The 1 st photo has a length that is half its width and an area of 8 in². The 2 nd is a square
More informationKindergarten Lessons for Unit 7: On The Move Me on the Map By Joan Sweeney
Kindergarten Lessons for Unit 7: On The Move Me on the Map By Joan Sweeney Aligned with the Common Core State Standards in Reading, Speaking & Listening, and Language Written & Prepared for: Baltimore
More informationCharacteristics of Functions
Characteristics of Functions Unit: 01 Lesson: 01 Suggested Duration: 10 days Lesson Synopsis Students will collect and organize data using various representations. They will identify the characteristics
More informationMath 150 Syllabus Course title and number MATH 150 Term Fall 2017 Class time and location INSTRUCTOR INFORMATION Name Erin K. Fry Phone number Department of Mathematics: 8453261 email address erinfry@tamu.edu
More informationAfter your registration is complete and your proctor has been approved, you may take the Credit by Examination for MATH 6A.
MATH 6A Mathematics, Grade 6, First Semester #03 (v.3.0) To the Student: After your registration is complete and your proctor has been approved, you may take the Credit by Examination for MATH 6A. WHAT
More informationQUICK START GUIDE. your kit BOXES 1 & 2 BRIDGES. Teachers Guides
QUICK START GUIDE BOXES 1 & 2 BRIDGES Teachers Guides your kit Your Teachers Guides are divided into eight units, each of which includes a unit introduction, 20 lessons, and the ancillary pages you ll
More informationCopyright Corwin 2015
2 Defining Essential Learnings How do I find clarity in a sea of standards? For students truly to be able to take responsibility for their learning, both teacher and students need to be very clear about
More informationMissouri Mathematics GradeLevel Expectations
A Correlation of to the Grades K  6 G/M223 Introduction This document demonstrates the high degree of success students will achieve when using Scott Foresman Addison Wesley Mathematics in meeting the
More informationUnderstanding Language
Understanding Language Language, Literacy, and Learning in the Content Areas The Common Core for English Language Learners: Challenges and Opportunities http://ell.stanford.edu A Nation at Risk (1983)
More informationFunction Tables With The Magic Function Machine
Brief Overview: Function Tables With The Magic Function Machine s will be able to complete a by applying a one operation rule, determine a rule based on the relationship between the input and output within
More informationWhat's My Value? Using "Manipulatives" and Writing to Explain Place Value. by Amanda Donovan, 2016 CTI Fellow David Cox Road Elementary School
What's My Value? Using "Manipulatives" and Writing to Explain Place Value by Amanda Donovan, 2016 CTI Fellow David Cox Road Elementary School This curriculum unit is recommended for: Second and Third Grade
More informationINTERMEDIATE ALGEBRA PRODUCT GUIDE
Welcome Thank you for choosing Intermediate Algebra. This adaptive digital curriculum provides students with instruction and practice in advanced algebraic concepts, including rational, radical, and logarithmic
More informationBUILDING CAPACITY FOR COLLEGE AND CAREER READINESS: LESSONS LEARNED FROM NAEP ITEM ANALYSES. Council of the Great City Schools
1 BUILDING CAPACITY FOR COLLEGE AND CAREER READINESS: LESSONS LEARNED FROM NAEP ITEM ANALYSES Council of the Great City Schools 2 Overview This analysis explores national, state and district performance
More informationMathematics Assessment Plan
Mathematics Assessment Plan Mission Statement for Academic Unit: Georgia Perimeter College transforms the lives of our students to thrive in a global society. As a diverse, multi campus two year college,
More informationMath 121 Fundamentals of Mathematics I
I. Course Description: Math 121 Fundamentals of Mathematics I Math 121 is a general course in the fundamentals of mathematics. It includes a study of concepts of numbers and fundamental operations with
More informationUpdate on Standards and Educator Evaluation
Update on Standards and Educator Evaluation Briana Timmerman, Ph.D. Director Office of Instructional Practices and Evaluations Instructional Leaders Roundtable October 15, 2014 Instructional Practices
More informationDMA CLUSTER CALCULATIONS POLICY
DMA CLUSTER CALCULATIONS POLICY Watlington C P School Shouldham Windows User HEWLETTPACKARD [Company address] Riverside Federation CONTENTS Titles Page Schools involved 2 Rationale 3 Aims and principles
More informationINSTRUCTIONAL FOCUS DOCUMENT Grade 5/Science
Exemplar Lesson 01: Comparing Weather and Climate Exemplar Lesson 02: Sun, Ocean, and the Water Cycle State Resources: Connecting to Unifying Concepts through Earth Science Change Over Time RATIONALE:
More informationMaximizing Learning Through Course Alignment and Experience with Different Types of Knowledge
Innov High Educ (2009) 34:93 103 DOI 10.1007/s1075500990952 Maximizing Learning Through Course Alignment and Experience with Different Types of Knowledge Phyllis Blumberg Published online: 3 February
More informationChapter 4  Fractions
. Fractions Chapter  Fractions 0 Michelle Manes, University of Hawaii Department of Mathematics These materials are intended for use with the University of Hawaii Department of Mathematics Math course
More informationMath 098 Intermediate Algebra Spring 2018
Math 098 Intermediate Algebra Spring 2018 Dept. of Mathematics Instructor's Name: Office Location: Office Hours: Office Phone: Email: MyMathLab Course ID: Course Description This course expands on the
More informationCAAP. Content Analysis Report. Sample College. Institution Code: 9011 Institution Type: 4Year Subgroup: none Test Date: Spring 2011
CAAP Content Analysis Report Institution Code: 911 Institution Type: 4Year Normative Group: 4year Colleges Introduction This report provides information intended to help postsecondary institutions better
More informationMath 96: Intermediate Algebra in Context
: Intermediate Algebra in Context Syllabus Spring Quarter 2016 Daily, 9:20 10:30am Instructor: Lauri Lindberg Office Hours@ tutoring: Tutoring Center (CAS504) 8 9am & 1 2pm daily STEM (Math) Center (RAI338)
More informationFEEDBACK & MARKING POLICY. Little Digmoor Primary School
FEEDBACK & MARKING POLICY Little Digmoor Primary School This policy complements the Teaching and Learning policy at Little Digmoor Primary School. It is a vital component in maximising the full learning
More informationFirst and Last Name School District School Name School City, State
Unit Plan  Fractions Unit Author First and Last Name School District School Name School City, State Allison Cooper (King) Putnam County Rock Branch Elementary School Rock Branch, WV Unit Overview Unit
More informationMooresville Charter Academy
NORTH CAROLINA CHARTER SCHOOL APPLICATION Mooresville Charter Academy Public charter schools opening the fall of 2015 Due by 5:00 pm, December 6, 2013 North Carolina Department of Public Instruction NCDPI/Office
More informationUsing Proportions to Solve Percentage Problems I
RP71 Using Proportions to Solve Percentage Problems I Pages 46 48 Standards: 7.RP.A. Goals: Students will write equivalent statements for proportions by keeping track of the part and the whole, and by
More informationFirst Grade Standards
These are the standards for what is taught throughout the year in First Grade. It is the expectation that these skills will be reinforced after they have been taught. Mathematical Practice Standards Taught
More informationFoothill College Summer 2016
Foothill College Summer 2016 Intermediate Algebra Math 105.04W CRN# 10135 5.0 units Instructor: Yvette Butterworth Text: None; Beoga.net material used Hours: Online Except Final Thurs, 8/4 3:30pm Phone:
More informationArizona s English Language Arts Standards th Grade ARIZONA DEPARTMENT OF EDUCATION HIGH ACADEMIC STANDARDS FOR STUDENTS
Arizona s English Language Arts Standards 1112th Grade ARIZONA DEPARTMENT OF EDUCATION HIGH ACADEMIC STANDARDS FOR STUDENTS 11 th 12 th Grade Overview Arizona s English Language Arts Standards work together
More informationKannapolis Charter Academy
NORTH CAROLINA CHARTER SCHOOL APPLICATION Kannapolis Charter Academy Public charter schools opening the fall of 2015 Due by 5:00 pm, December 6, 2013 North Carolina Department of Public Instruction NCDPI/Office
More informationAssociation Between Categorical Variables
Student Outcomes Students use row relative frequencies or column relative frequencies to informally determine whether there is an association between two categorical variables. Lesson Notes In this lesson,
More informationLearning to Think Mathematically With the Rekenrek
Learning to Think Mathematically With the Rekenrek A Resource for Teachers A Tool for Young Children Adapted from the work of Jeff Frykholm Overview Rekenrek, a simple, but powerful, manipulative to help
More informationMaking the ELPSTELPAS Connection Grades K 12 Overview
Making the ELPSTELPAS Connection Grades K 12 Overview 20172018 Texas Education Agency Student Assessment Division. Disclaimer These slides have been prepared by the Student Assessment Division of the
More informationTop Ten: Transitioning English Language Arts Assessments
Top Ten: Transitioning English Language Arts Assessments White Paper Delise Becker Michael BayBorelli Lee Brinkerhoff Kellie Crain Laurie Davis Charles Fuhrken Tiffany Hartmann Jay Larkin Kimberly O Malley
More informationHonors Mathematics. Introduction and Definition of Honors Mathematics
Honors Mathematics Introduction and Definition of Honors Mathematics Honors Mathematics courses are intended to be more challenging than standard courses and provide multiple opportunities for students
More informationLanguage Acquisition Chart
Language Acquisition Chart This chart was designed to help teachers better understand the process of second language acquisition. Please use this chart as a resource for learning more about the way people
More informationGUIDE TO THE CUNY ASSESSMENT TESTS
GUIDE TO THE CUNY ASSESSMENT TESTS IN MATHEMATICS Rev. 117.016110 Contents Welcome... 1 Contact Information...1 Programs Administered by the Office of Testing and Evaluation... 1 CUNY Skills Assessment:...1
More informationGrade 11 Language Arts (2 Semester Course) CURRICULUM. Course Description ENGLISH 11 (2 Semester Course) Duration: 2 Semesters Prerequisite: None
Grade 11 Language Arts (2 Semester Course) CURRICULUM Course Description ENGLISH 11 (2 Semester Course) Duration: 2 Semesters Prerequisite: None Through the integrated study of literature, composition,
More information21st Century Community Learning Center
21st Century Community Learning Center Grant Overview This Request for Proposal (RFP) is designed to distribute funds to qualified applicants pursuant to Title IV, Part B, of the Elementary and Secondary
More information(I couldn t find a Smartie Book) NEW Grade 5/6 Mathematics: (Number, Statistics and Probability) Title Smartie Mathematics
(I couldn t find a Smartie Book) NEW Grade 5/6 Mathematics: (Number, Statistics and Probability) Title Smartie Mathematics Lesson/ Unit Description Questions: How many Smarties are in a box? Is it the
More informationBroward County Public Schools G rade 6 FSA WarmUps
Day 1 1. A florist has 40 tulips, 32 roses, 60 daises, and 50 petunias. Draw a line from each comparison to match it to the correct ratio. A. tulips to roses B. daises to petunias C. roses to tulips D.
More informationContent Language Objectives (CLOs) August 2012, H. Butts & G. De Anda
Content Language Objectives (CLOs) Outcomes Identify the evolution of the CLO Identify the components of the CLO Understand how the CLO helps provide all students the opportunity to access the rigor of
More informationIntroduce yourself. Change the name out and put your information here.
Introduce yourself. Change the name out and put your information here. 1 History: CPM is a nonprofit organization that has developed mathematics curriculum and provided its teachers with professional
More informationAP Statistics Summer Assignment 1718
AP Statistics Summer Assignment 1718 Welcome to AP Statistics. This course will be unlike any other math class you have ever taken before! Before taking this course you will need to be competent in basic
More information