# What Are Rational Numbers? [8th grade]

Size: px
Start display at page:

Transcription

2 Education Department Understanding by Design Curriculum Units Trinity University Year 2005 What Are Rational Numbers? Catherine Risinger Trinity University, This paper is posted at Digital

3 UNDERSTANDING BY DESIGN Unit Title: What Are Rational Numbers? Grade Level: 8 Subject/Topic Area(s): Pre-Algebra Designed By: Catherine Risinger Time Frame: 4 weeks Unit Cover Page School District (One Designer): North East ISD School: Tejeda Middle School School Address and Phone: 2909 East Evans Road San Antonio, TX (210) Brief Summary of Unit (Including curricular context and unit goals): In this pre-algebra unit of rational numbers, students will further their understanding of rational numbers and its application to everyday experiences. Pre-algebra is the stepping stone to high school mathematics. Therefore, it is imperative for students to recognize and demonstrate that there are appropriate situations in which rational numbers should be used and their usefulness to us. In the culminating performance task, students are asked to develop and present a plan for the BBQ that they will be hosting for a specified number of people. The BBQ scenario allows students to apply their knowledge of rational numbers in order to do comparison shopping at 3 different grocery stores. The unit concludes with why students shopped the way that they did and a self-evaluation of what they have learned. 1

4 STAGE 1 DESIRED RESULTS Content Standard(s) 8.1b selects and uses appropriate forms of rational numbers to solve real-life problems including those involving proportional relationships 8.3b estimate and find solutions to application problems involving percents (& proportional relationships such as similarity rates) 8.14a identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics Understanding(s) Students will understand that Rational numbers can be represented as decimals, fractions, and percents -Strategies can be used to simplify expressions and to compare and order rational numbers -There are advantages and disadvantages to each type of representation (fractions, decimals, and percents) Sometimes the correct unit rate (i.e., fractions, decimals, and percents) is not the best solution to realworld problems Essential Question(s) Overarching Question Why do we need numbers? (Year Overview) What couldn t we do if we didn t have numbers? What is a number? Topical Question(s) What is a rational number? When is it best to use a fraction? When is it best to use a decimal? When is it best to use a percent? Q Students will know: Students will be able to: K Key Terms unit rate, ratio, percent, decimal, fraction, rational number The properties of rational numbers expressed in a variety of forms Compute with rational numbers being expressed in a variety of forms Determine if a solution is appropriate and moving beyond a particular problem by thinking of other situations 2

6 STAGE 2 ASSESSMENT EVIDENCE (cont.) Key Criteria: CATEGORY Explanation shows Explanation shows Explanation shows complete substantial some understanding of understanding of understanding of the mathematical the mathematical the mathematical concepts used to concepts used to concepts needed solve the solve the to solve the problem(s). problem(s). problem(s). Mathematical Concepts Strategy/Procedures Mathematical Errors Uses an efficient and effective strategy to solve the problem(s) % of the steps and solutions have no mathematical errors. Uses an effective strategy to solve the problem(s). Almost all (85-89%) of the steps and solutions have no mathematical errors. Sometimes uses an effective strategy to solve problems, but does not do it consistently. Most (75-84%) of the steps and solutions have no mathematical errors. Explanation shows very limited understanding of the underlying concepts needed to solve the problem(s) OR is not written. Rarely uses an effective strategy to solve problems. More than 75% of the steps and solutions have mathematical errors. Completion All problems are completed. All but 1 of the problems are completed. All but 2 of the problems are completed. Several of the problems are not completed. Neatness and Organization The work is presented in a neat, clear, organized fashion that is easy to read. The work is presented in a neat and organized fashion that is usually easy to read. The work is presented in an organized fashion but may be hard to read at times. The work appears sloppy and unorganized. It is hard to know what information goes together. Other Evidence: Skill Check: Daily warm-ups Prompt: In what kind of situations would it be beneficial and not beneficial to use fractions, percents, and decimals & does it really matter what kind of rational number we use? Homework (sometimes daily) Quizzes: Percents, Decimals, and Fractions Test: Percents, decimals, and fractions 4

7 Stage 3 Learning Plan 1. Have students respond to: What do I already know about rational numbers, fractions, decimals, and percents? 2. Discuss student responses and revisit What is a number? 3. Introduce the essential questions, key terms, and the performance task 4. Present lesson on unit rates and its application to rational numbers 5. Discuss the various types of unit rates found in the real world 6. Present lesson on ratios and types of representation 7. Present lesson on using proportions to solve real-world problems 8. Assess students by having them take a quiz 9. Return and discuss quiz, clarify any misunderstandings 10. Academic Prompt: In what kind of situations would it be beneficial and not beneficial to use fractions, percents, and decimals? 11. Have students use research material that has already been gathered to begin working on performance task & answer any further questions 12. Present lesson on using percent proportions 13. Present lesson on converting fractions, decimals, and percents 14. Discuss the appropriate use of fractions, decimals, and percents. 15. Academic Prompt: Does it really matter what kind of rational number we use? 16. Present lesson on fractions of a percent & its use 17. Students take a brief quiz 18. Observe and watch students as they work on finishing their performance assessment 19. Return & discuss quiz with students, clarify any misunderstandings 20. Review with students concepts for upcoming test 21. Students take test on fractions, decimals, and percents 22. Conclude the unit with project presentations and completion of a self-evaluation 5

8 Unit Calendar Period Length: 45 minutes Monday Tuesday Wednesday Thursday Friday Have students respond to prompt 4. Present lesson on unit rates and its Cont. Day 2 6. Present lesson on ratios and types of Cont. Day 4 2. Discuss applications representation student responses 3. Introduce 5. Discuss various unit rates essential questions 7. Present lesson on using proportions for realworld problems 12. Present lesson on using percent proportions Cont. Day Students present projects & complete selfevaluation Cont. Day 6 Cont. Day Academic Prompt 16. Present lesson on fractions of a percent 8. Assess students by giving quiz Cont. Day Take brief quiz 18. Observe & watch students on performance task 9 9. Return and discuss quiz & clarify any misunderstandings 10. Academic Prompt Present lesson on converting fractions, decimals, & percents 14. Discuss appropriate use Return & discuss quiz clarify any misunderstandin gs 20. Review for test Students work on performance assessment Cont. Day Take test on fractions, decimals, percents 6

Trinity University Digital Commons @ Trinity Understanding by Design: Complete Collection Understanding by Design 6-14-2006 Plant and Animal Adaptations [4th grade] Jennifer Mahler Trinity University Follow

### Number, Operation, and Quantitative Reasoning

Number, Operation, and Quantitative Reasoning Activity: TEKS: Problem Solving with Fractions (6.2) Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, and divides to

### U. S. Constitution [8th grade]

Trinity University Digital Commons @ Trinity Understanding by Design: Complete Collection Understanding by Design 6-15-2006 U. S. Constitution [8th grade] Ben Altman Trinity University Follow this and

### Financial Mathematics

Financial Mathematics For the next few weeks we will study the mathematics of finance. Apart from basic arithmetic, financial mathematics is probably the most practical math you will learn. practical in

Trinity University Digital Commons @ Trinity Understanding by Design: Complete Collection Understanding by Design 6-15-2006 French Revolution [10th grade] Jenna Smith Trinity University Follow this and

### Explain Yourself: An Expository Writing Unit for High School

Trinity University Digital Commons @ Trinity Understanding by Design: Complete Collection Understanding by Design 2013 Explain Yourself: An Expository Writing Unit for High School Adele Barnett Trinity

Trinity University Digital Commons @ Trinity Understanding by Design: Complete Collection Understanding by Design 7-2012 Habitats [3rd grade] Leslie Davenport Trinity University Follow this and additional

### Teaching Pre-Algebra in PowerPoint

Key Vocabulary: Numerator, Denominator, Ratio Title Key Skills: Convert Fractions to Decimals Long Division Convert Decimals to Percents Rounding Percents Slide #1: Start the lesson in Presentation Mode

### UNIT PLAN: EXPONENTIAL AND LOGARITHMIC FUNCTIONS

UNIT PLAN: EXPONENTIAL AND LOGARITHMIC FUNCTIONS Summary: This unit plan covers the basics of exponential and logarithmic functions in about 6 days of class. It is intended for an Algebra II class. The

### BUS315: INTRODUCTION TO FINANCIAL MANAGEMENT COURSE OUTLINE

BUS315: INTRODUCTION TO FINANCIAL MANAGEMENT Lynda Livingston Fall, 2012 office: McIntyre 111-J e-mail: llivingston@ups.edu office phone: (253) 879-3471 fax: (253) 878-3156 office hours: MF 12:00-1:00

### Sixth Grade Problem Solving Tasks Weekly Enrichments Teacher Materials. Summer Dreamers 2013

Sixth Grade Problem Solving Tasks Weekly Enrichments Teacher Materials Summer Dreamers 2013 SOLVING MATH PROBLEMS KEY QUESTIONS WEEK 1 By the end of this lesson, students should be able to answer these

### Charts, Tables, and Graphs

Charts, Tables, and Graphs The Mathematics sections of the SAT also include some questions about charts, tables, and graphs. You should know how to (1) read and understand information that is given; (2)

### Maths Assessment Year 4: Fractions

Name: Maths Assessment Year : Fractions 1. Recognise and show, using diagrams, families of common equivalent fractions. 2. Count up and down in hundredths. 3. Solve problems involving increasingly harder

### Liberal Arts Mathematics 56-1723 (MA), Summer 2015

Liberal Arts Mathematics 56-1723 (MA), Summer 2015 Department of Science & Mathematics Columbia College Chicago 600 South Michigan Avenue Chicago, Illinois 60605 Course Title: Liberal Arts Mathematics

### LESSON 5 - DECIMALS INTRODUCTION

LESSON 5 - DECIMALS INTRODUCTION Now that we know something about whole numbers and fractions, we will begin working with types of numbers that are extensions of whole numbers and related to fractions.

### Course Plan Environmental Management Systems and Certification

Course Plan Environmental Management Systems and Certification Prepared for Teacher s Conference in Borki, Poland, June 28 to July 2. Note: This document will be part of a complete Teacher s Guide. 1 Week

### 20(-1) - (-4) (-5) 10)

Pre-Algebra Final Exam Review Name Write the whole number in words. 1) 9,300,695 1) Add. 2) 58,142 30,645 + 5,300,621 2) Round the whole number to the given place. 3) 49,815,425 to the nearest million

### ACTIVITY: Identifying Common Multiples

1.6 Least Common Multiple of two numbers? How can you find the least common multiple 1 ACTIVITY: Identifying Common Work with a partner. Using the first several multiples of each number, copy and complete

### Models of a Vending Machine Business

Math Models: Sample lesson Tom Hughes, 1999 Models of a Vending Machine Business Lesson Overview Students take on different roles in simulating starting a vending machine business in their school that

### HOMEWORK PROGRAM JANUARY, 2002 HOMEWORK PHILOSOPHY STATEMENT

JANUARY, 2002 HOMEWORK PHILOSOPHY STATEMENT Well chosen, clearly communicated homework is an integral part of the instructional process. Challenging homework assignments help students learn. Homework that

### FRACTIONS. The student will be able to: Essential Fraction Vocabulary

FRACTIONS The student will be able to:. Perform basic operations with common fractions: addition, subtraction, multiplication, and division. Common fractions, such as /, /, and /, are used on the GED Test

### PERCENTS - compliments of Dan Mosenkis

PERCENTS - compliments of Dan Mosenkis Percent Basics: Percents are connected to many ideas: fractions, decimals, proportions, relative amounts, and multiplicative change. You could say they are like the

### Level 2 6.4 Lesson Plan Session 1

Session 1 Materials Materials provided: image of 3R symbol; 4 environment images; Word Map; homework puzzle. Suggested additional materials: examples of compostable and non-compostable waste, i.e., apple

### Engineering Concepts Elective

Engineering Concepts Elective Copyright 1996 Karen Falkenberg Emory College Atlanta, Georgia Course description This interdisciplinary elective is designed for students who have had two years of both science

### Hoping that a project comes out the way you want is not a PLAN!! This is true in life, in school and on the job.

Project management is the discipline of planning, organizing, securing and managing resources to bring about the successful completion of specific project goals and objectives. (Wikipedia) Hoping that

### TeachInG UnIT. Grade Level: Grade 6 Recommended Curriculum Area: Mathematics Other Relevant Curriculum Area(s): Language Arts

BUILDING FUTURES IN ONTARIO TeachInG UnIT General Topic: Budgeting, Planning, and Goal-Setting Unit Title: Importance of Planning Grade Level: Grade 6 Recommended Curriculum Area: Mathematics Other Relevant

### Lesson 4. Factors and Multiples. Objectives

Student Name: Date: Contact Person Name: Phone Number: Lesson 4 Factors and Multiples Objectives Understand what factors and multiples are Write a number as a product of its prime factors Find the greatest

### Translating between Fractions, Decimals and Percents

CONCEPT DEVELOPMENT Mathematics Assessment Project CLASSROOM CHALLENGES A Formative Assessment Lesson Translating between Fractions, Decimals and Percents Mathematics Assessment Resource Service University

### Scarcity and Choices Grade One

Ohio Standards Connection: Economics Benchmark A Explain how the scarcity of resources requires people to make choices to satisfy their wants. Indicator 1 Explain that wants are unlimited and resources

### Integer Operations. Overview. Grade 7 Mathematics, Quarter 1, Unit 1.1. Number of Instructional Days: 15 (1 day = 45 minutes) Essential Questions

Grade 7 Mathematics, Quarter 1, Unit 1.1 Integer Operations Overview Number of Instructional Days: 15 (1 day = 45 minutes) Content to Be Learned Describe situations in which opposites combine to make zero.

### Math Common Core Sampler Test

Math Common Core Sampler Test The grade 6 sampler covers the most common questions that we see on the Common Core tests and test samples. We have reviewed over 40 different past exams and samples to create

### Lesson on Repeating and Terminating Decimals. Dana T. Johnson 6/03 College of William and Mary dtjohn@wm.edu

Lesson on Repeating and Terminating Decimals Dana T. Johnson 6/03 College of William and Mary dtjohn@wm.edu Background: This lesson would be embedded in a unit on the real number system. The set of real

### BEFORE DURING AFTER PERSEVERE. MONITOR my work. ASK myself, Does this make sense? CHANGE my plan if it isn t working out

Make sense of problems and persevere in solving them. Mathematical Practice When presented with a problem, I can make a plan, carry out my plan, and evaluate its success. BEFORE DURING AFTER EXPLAIN the

### Decomposing Numbers (Operations and Algebraic Thinking)

Decomposing Numbers (Operations and Algebraic Thinking) Kindergarten Formative Assessment Lesson Designed and revised by Kentucky Department of Education Mathematics Specialists Field-tested by Kentucky

### Renewable and Nonrenewable Resources

Grades: 3 4 Renewable and Nonrenewable Resources Time Allotments: Teacher preparation: 15 minutes Lesson and activity: 45-60 minutes Vocabulary: Conservation Natural Resources Nonrenewable Resources Renewable

### 6th Grade Lesson Plan: Probably Probability

6th Grade Lesson Plan: Probably Probability Overview This series of lessons was designed to meet the needs of gifted children for extension beyond the standard curriculum with the greatest ease of use

### CAPS. Mathematics. Grade 2. Practice Book. Practice Book. Practice. Book. Book. Book. Book. Book. Book. Book. Book. Book. Book. Book. Book.

Mathematics Grade 2 Name: CAPS Worksheet 1: Puzzle problems 1. Work out these puzzles with a partner. Make sure that each line for each puzzle adds up to the same number. a. b. 2 3 Each line must add up

### Unit 1: Family Letter

Name Date Time HOME LINK Unit 1: Family Letter Introduction to Third Grade Everyday Mathematics Welcome to Third Grade Everyday Mathematics. It is part of an elementary school mathematics curriculum developed

### Trip to Kristiansund - Norway

Trip to Kristiansund - Norway Sophia, Nico and Vincent from Germany Thursday, 20.09.2012 This is my story of the unforgettable days in Kristiansund, Norway. We went from our hometown Mering with the train

### Heating and Cooling [kindergarten]

Trinity University Digital Commons @ Trinity Understanding by Design: Complete Collection Understanding by Design 7-2012 Heating and Cooling [kindergarten] Kyla McGlynn Trinity University Follow this and

Accelerated Reader Record Name... Do: Don t: Have your reading book and AR Record in your bag at all times. Take a as soon as you are finished your reading book. Keep your AR let up to date. on books that

### Introduction to Fractions, Equivalent and Simplifying (1-2 days)

Introduction to Fractions, Equivalent and Simplifying (1-2 days) 1. Fraction 2. Numerator 3. Denominator 4. Equivalent 5. Simplest form Real World Examples: 1. Fractions in general, why and where we use

### Activity 1: Using base ten blocks to model operations on decimals

Rational Numbers 9: Decimal Form of Rational Numbers Objectives To use base ten blocks to model operations on decimal numbers To review the algorithms for addition, subtraction, multiplication and division

### My Office Control Journal

My Office Control Journal C 2001 FlyLady & Co. Inc Copyright 2004 All rights reserved; FlyLady and Company Inc. How to Build Good Work Habits As SHEs we pride ourselves in working well under pressure.

### Biology 120-251W Fundamentals of Nutrition 13 week online Spring 2015

Parkland College Biology Courses Natural Sciences Courses 2015 Biology 120-251W Fundamentals of Nutrition 13 week online Spring 2015 Toni Burkhalter Parkland College, TBurkhalter@parkland.edu Recommended

### Lesson Description. Texas Essential Knowledge and Skills (Target standards) Texas Essential Knowledge and Skills (Prerequisite standards)

Lesson Description This lesson gives students the opportunity to explore the different methods a consumer can pay for goods and services. Students first identify something they want to purchase. They then

### 1 st Grade Math Do-Anytime Activities

1 st Grade Have your child help create a number line (0-15) outside with sidewalk chalk. Call out a number and have your child jump on that number. Make up directions such as Hop to the number that is

### Emden in Austria for the International Week

Emden in Austria for the International Week 1 st day for the international group. The 14 th of April, 6 students, Marine, Eva, Annika, Helena, Karolin and Hivda from the Sozial Arbeit department of the

### Sunny Hills Math Club Decimal Numbers Lesson 4

Are you tired of finding common denominators to add fractions? Are you tired of converting mixed fractions into improper fractions, just to multiply and convert them back? Are you tired of reducing fractions

### Supplemental Activity

Materials: Test-Taking Skills Assessment on page 80 in this workbook (page 19 in the student workbook) Test-Taking Tips on page 81 in this workbook (page 20 in the student workbook) Tactics for Studying

### GRADE 6 MATH: SHARE MY CANDY

GRADE 6 MATH: SHARE MY CANDY UNIT OVERVIEW The length of this unit is approximately 2-3 weeks. Students will develop an understanding of dividing fractions by fractions by building upon the conceptual

### Using Percents in the Real-World Grade Six

Ohio Standards Connection Number, Number Sense and Operations Benchmark I Use a variety of strategies including proportional reasoning to estimate, compute, solve and explain solutions to problems involving

### Production: Specialization and Division of Labor Grade Three

Ohio Standards Connection: Economics Benchmark B Explain why entrepreneurship, capital goods, technology, specialization and the division of labor are important in the production of goods and services.

### SCOTTISH RESOURCES. First Level/Second Level Autumn 2008. Tuesdays 03.45 04.00 16 and 23 September BBC Radio 4 digital (terrestrial, cable, satellite)

B B C Learning Scotland SCOTTISH RESOURCES First Level/Second Level Autumn 2008 Tuesdays 03.45 04.00 16 and 23 September BBC Radio 4 digital (terrestrial, cable, satellite) China Stories Programmes in

### FEBRUARY 2016 PTAB Public Hearing Schedule

2013-004485 11629982 Tuesday, February 02, 2016 9:00 AM (EST) B ALEXANDRIA, VA 2013-004694 12520565 Tuesday, February 02, 2016 9:00 AM (EST) B ALEXANDRIA, VA 2013-005264 13196232 Tuesday, February 02,

### Cruise Line Agencies of Alaska. Cruise Ship Calendar for 2016 FOR PORT(S) = KTN AND SHIP(S) = ALL AND VOYAGES = ALL

Cruise Line Agencies of Alaska Cruise Ship Calendar for 2016 FOR PORT(S) = KTN AND SHIP(S) = ALL AND VOYAGES = ALL Page 1 of 5 Sunday, May 1 07:0-18:0 Monday, May 2 Tuesday, May 3 Wednesday, May 4 Thursday,

### This section contains guidelines that will help you to leave a professional and courteous impression on those around you.

Practicing proper etiquette is essential for success in any field. It can be difficult to build relationships if they are being strained by a lack of common courtesy. Hiring managers are watching to see

### Cruise Line Agencies of Alaska. Cruise Ship Calendar for 2016 FOR PORT(S) = KTN AND SHIP(S) = ALL AND VOYAGES = ALL

Cruise Line Agencies of Alaska Cruise Ship Calendar for 06 FOR PORT(S) = KTN AND SHIP(S) = ALL AND VOYAGES = ALL 6: Friday, April 5, 06 Cruise Line Agencies of Alaska, Cruise Ship Calendar for 06 Page

### PERCENT COMPETENCY PACKET

PERCENT COMPETENCY PACKET Developed by: Nancy Tufo Revised 2001: Sharyn Sweeney Student Support Center North Shore Community College In this booklet the relationship between percents, fractions and decimals

### 7 th Grade Math Foundations for Teaching Unit One: Numbers & Operations Module One: Rational Number s

Unit One: Numbers & Operations Module One: s Day/Date TEKS Activities and Resources Essential Question Aug 25 Aug 26 Aug 27 Aug 28 Aug 29 (SS) (SS) (SS) (SS) - First Day Procedures - Math Class Student

### INTERVIEW QUESTIONS FOR TEACHERS

INTERVIEW QUESTIONS FOR TEACHERS The following questions are examples of questions frequently asked by school system recruiters. This list is certainly not all inclusive and should be used as a starting

### Sarah Clements, 5 th grade, Peter Howell Elementary School, Tucson Unified School District Stephanie Greene-Hunley, 4 th grade, Peter Howell

Sarah Clements, 5 th grade, Peter Howell Elementary School, Tucson Unified School District Stephanie Greene-Hunley, 4 th grade, Peter Howell Elementary School, Tucson Unified School District Michelle Hine,

### GRADE 6 MATH: RATIOS AND PROPORTIONAL RELATIONSHIPS

GRADE 6 MATH: RATIOS AND PROPORTIONAL RELATIONSHIPS UNIT OVERVIEW This 4-5 week unit focuses on developing an understanding of ratio concepts and using ratio reasoning to solve problems. TASK DETAILS Task

### GUIDEBOOK. Version 1. 2006-07

GUIDEBOOK Version 1. 2006-07 Table of Contents Introduction...1 How to Register...2 Lesson Plan...3 Make the Game Interesting...5 How to Initiate the Activity...6 Letter to Teachers...7 Class Mileage Tracker...8

### Back-To-School Packet

This information packet is to familiarize you with our classroom expectations and policies. If you have any questions or comments please feel free to contact me. Mrs. Catron First Grade Teacher Woodmen

### Numeracy and mathematics Experiences and outcomes

Numeracy and mathematics Experiences and outcomes My learning in mathematics enables me to: develop a secure understanding of the concepts, principles and processes of mathematics and apply these in different

### PERCENTS. Percent means per hundred. Writing a number as a percent is a way of comparing the number with 100. For example: 42% =

PERCENTS Percent means per hundred. Writing a number as a percent is a way of comparing the number with 100. For example: 42% = Percents are really fractions (or ratios) with a denominator of 100. Any

### MATHEMATICAL LITERACY LESSON PLANS

MATHEMATICAL LITERACY LESSON PLANS GRADE 11. LESSON PLAN 1. Lesson Plan: Personal finance Number f Activities : 3 Duration : +/- 13H30 Week : 1-3 Date: Context : Personal finance management, Business context.

### Skateboard Assembly - Line Balance Lesson Plan (45-60 minutes)

Overview This activity demonstrates the process of balancing an assembly line, which is designing the same amount of work content, or time, at each workstation. Work that is done to build skateboards is

### Turn Off TV Turn On the Possibilities. TV Turn-Off Week. What is TV Turn-Off Week?

Turn Off TV Turn On the Possibilities TV Turn-Off Week I really didn t like TV Turn-off week except I did notice that my grades went up and I was in a good mood all week Drew Henderson, 2 nd Grader, Pennsylvania

### Customer Analysis I. Session 3 Marketing Management Prof. Natalie Mizik

Customer Analysis I Session 3 Marketing Management Prof. Natalie Mizik Outline How do you think about customers? How do customers think? Overview of approaches. Focus on behavioral economics. Useful in

### DRAFT. New York State Testing Program Grade 7 Common Core Mathematics Test. Released Questions with Annotations

DRAFT New York State Testing Program Grade 7 Common Core Mathematics Test Released Questions with Annotations August 2014 Developed and published under contract with the New York State Education Department

### eday Lessons Physical Education: High School PE I, PE II, and Advanced PE

Physical Education: High School PE I, PE II, and Advanced PE Lesson #1: High School Physical Education E-Lessons, PE I, PE II, and Advanced PE. Standard 3 Participates regularly in physical activity. Grade

### Grade Four Reasoning Sample Test

Grade Four Reasoning Sample Test. The top shelf held 7 books. The bottom shelf held books. books from the top shelf were checked out. 6 books from the bottom shelf were missing. How many books are left

### M-DCPS 2014-2015 Mathematics Department K-8 i-ready Implementation Plan

Recommended Mathematics Implementation Options: Option #1 (Please note recommended rotations for Model A and Model B on pages 3-4) Administer i-ready Diagnostic to all K-8 students enrolled in mathematics

### Grade 4 - Module 5: Fraction Equivalence, Ordering, and Operations

Grade 4 - Module 5: Fraction Equivalence, Ordering, and Operations Benchmark (standard or reference point by which something is measured) Common denominator (when two or more fractions have the same denominator)

### Riverside City College Arithmetic-Pre-Algebra/Math 65 (48422), Fall 2014 MTSC 103-MTWTh: 06:00PM - 07:10PM

Riverside City College Arithmetic-Pre-Algebra/Math 65 (48422), Fall 2014 MTSC 103-MTWTh: 06:00PM - 07:10PM Instructor: Jesús Magaña Email: Jesus.Magana@rcc.edu Welcome to Mathematics: The course will cover

### Authority versus Power by Melissa McDermott

Authority versus Power by Melissa McDermott Lesson Description: This formative lesson focuses on developing an understanding of the concept of authority. Students will identify and role play scenarios

### CHECK IT OUT CHECK IT OUT! Spring 2001

Age 9 11 Key Stage 2! NEEDS & WANTS Series Producer: Henry Laverty Spring 2001 Friday 12.10-12.30 p.m. from 19 January to 2 March Summer 2001 Tuesday 11.30 11.50 a.m. from 24 April to 5 June Transmission:

### DECEMBER 2015 PTAB Public Hearing Schedule

IPR 2015-00021 Tuesday, December 01, 2015 9:00 AM A ALEXANDRIA, VA 2013-003491 12422863 Tuesday, December 01, 2015 9:00 AM (MST) 14-133 DENVER, CO 2013-003763 11839384 Tuesday, December 01, 2015 9:00 AM

### TEaching UniT. Grade Level: Grade 4 Recommended Curriculum Area: Mathematics Other Relevant Curriculum Area(s): Language Arts

BUILDING FUTURES IN ONTARIO TEaching UniT General Topic: Money and Decision-making Unit Title: Early Experiences with Money Grade Level: Grade 4 Recommended Curriculum Area: Mathematics Other Relevant

### ECON 102 Spring 2014 Homework 3 Due March 26, 2014

ECON 102 Spring 2014 Homework 3 Due March 26, 2014 1. For this problem, you need to download data about the country Badgerstan from the website: https://mywebspace.wisc.edu/mmorey/web/102data.xls The file

### How Do You Manage Money? Lesson 3a: How Do People Make Good Spending Decisions?

How Do You Manage Money? Lesson 3a: How Do People Make Good Spending Decisions? Adopted from lesson plans created by Jennifer Raeder for the San Francisco Unified School District s Kindergarten to College

### GRADE 2 SUPPLEMENT. Set A7 Number & Operations: Numbers to 1,000 on a Line or Grid. Includes. Skills & Concepts

GRADE 2 SUPPLEMENT Set A7 Number & Operations: Numbers to 1,000 on a Line or Grid Includes Activity 1: Mystery Numbers on a 101-200 Grid A7.1 Activity 2: What s My Number? A7.7 Independent Worksheet 1:

### INTRODUCTION TO ETHICS PHIL 160 Summer Session I

INTRODUCTION TO ETHICS PHIL 160 Summer Session I This is a draft syllabus. The finalized syllabus will be available one week before the beginning of Summer Session I. Kiran Bhardwaj kbhardwa@live.unc.edu

### SYLLABUS MAC 1105 COLLEGE ALGEBRA Spring 2011 Tuesday & Thursday 12:30 p.m. 1:45 p.m.

SYLLABUS MAC 1105 COLLEGE ALGEBRA Spring 2011 Tuesday & Thursday 12:30 p.m. 1:45 p.m. Instructor: Val Mohanakumar Office Location: Office Phone #: 253 7351 Email: vmohanakumar@hccfl.edu Webpage: http://www.hccfl.edu/faculty-info/vmohanakumar.aspx.

### The Brown Family Scenario Worksheet

The Brown Family Scenario Total Points Earned 71 Total Points Possible Percentage Name Date Class Directions: Read the scenario and underline all sources of income for the Brown family; put a box around

### GMAT SYLLABI. Types of Assignments - 1 -

GMAT SYLLABI The syllabi on the following pages list the math and verbal assignments for each class. Your homework assignments depend on your current math and verbal scores. Be sure to read How to Use

### What are some things to consider when deciding if a career is a good fit?

Career Fair: Career Research 1 4 CAREERS The BIG Idea What are some things to consider when deciding if a career is a good fit? AGENDA Approx. 45 minutes I. Warm Up: Career Fair Announcement and Expectations

### Chapter 4 -- Decimals

Chapter 4 -- Decimals \$34.99 decimal notation ex. The cost of an object. ex. The balance of your bank account ex The amount owed ex. The tax on a purchase. Just like Whole Numbers Place Value - 1.23456789

### TEACHING UNIT. Budgeting, Planning, and Goal-Setting Importance of Planning Grade 6 Mathematics Language Arts

TEACHING UNIT General Topic: Unit Title: Grade Level: Recommended Curriculum Area: Other Relevant Curriculum Area(s): Budgeting, Planning, and Goal-Setting Importance of Planning Grade 6 Mathematics Language

### From the Webisode: Math Meets Fashion

lesson CCSS CONNECTIONS Percent Markups From the Webisode: Math Meets Fashion In this lesson, s solve a multi-step problem by identifying percent markups of a whole and calculating a final sale price.

### CORE Assessment Module Module Overview

CORE Assessment Module Module Overview Content Area Mathematics Title Speedy Texting Grade Level Grade 7 Problem Type Performance Task Learning Goal Students will solve real-life and mathematical problems

### lesson three budgeting your money teacher s guide

lesson three budgeting your money teacher s guide budgeting your money lesson outline lesson 3 overview I m all out of money, and I won t get paid again until the end of next week! This is a common dilemma

### Aquatic Animal Nutrition: Understanding Feed Conversion Ratios

Aquatic Animal Nutrition: Understanding Feed Conversion Ratios Grade Level: 9-12 Subject Area: Aquaculture, Nutrition Time: 30 minutes +introduction/discussion time Student Performance Standards (Sunshine

### Division of whole numbers is defined in terms of multiplication using the idea of a missing factor.

32 CHAPTER 1. PLACE VALUE AND MODELS FOR ARITHMETIC 1.6 Division Division of whole numbers is defined in terms of multiplication using the idea of a missing factor. Definition 6.1. Division is defined

### Lesson Plan -- Integers, Opposites, Absolute Value

Lesson Plan -- Integers, Opposites, Absolute Value Chapter Resources - Lesson 3-1 Integers and the Number Line - Lesson 3-1 Integers and the Number Line Answers - Lesson 3-2 Opposites and Absolute Value