Ratio & Proportion: from Models to Fluency
|
|
- Matthew Barber
- 5 years ago
- Views:
Transcription
1 California Mathematics Council South Friday, November, 0 rd Annual Mathematics Conference Palm Springs, California Ratio & Proportion: from Models to Fluency by Jeff Simpson Mastery Learning Systems mastery@pacific.net masterylearningsystems.com blog: Topics to be addressed will include some or all of the following: teaching perspectives reviewing fraction equivalents (halves); establish a sense of what is true, then do the math multiplying/dilating; dividing/reducing; comparing top and bottom; cross multiplying using partner pages and timing to develop aniety-free fluency reviewing the forms of division kinds of more using pictures to teach rates (derive generalizations and definitions from repeated observations) comparing amounts (numbers with different units) with rates; why are we comparing? implied repetition word problems: begin with simplified phrasing in plain English (no math jargon) read a little, think a little, draw a little (or use pre-eisting pictures) comparing amounts (numbers with the same units) with ratios; why are we comparing? the forms of ratio notation (pay attention to word order) implied totals (/ ); pre-teach the thinking required for word problems proportions (equal ratios); why are we comparing ratios? draw cartoon character, then enlarge incorrectly ratio reciprocals; fraction:fraction ratios head torso legs Snowman Snowman Snowman Snowman Snowman
2 Teaching Perspectives: Teach R/P as a way of perceiving reality, not as a belief system. Avoid arbitrary statements. Teaching R/P to kids: R/P is the subject, and Kids are the subject; know them both! Educate is from Latin educare, to draw out. We are not pouring R/P into their heads; we are drawing out their natural ability to notice, and to think and perform mathematically. I taught it, but they didn t learn it often means you didn t teach it in ways that they could learn it. Teaching is a game of Are they thinking what I m thinking? Meet students where they are, not where they are supposed to be. Struggling students must be taught differently. One size of instruction does not fit all. In differentiating instruction, use shifting small groups for a few minutes at a time. MIND THE GAPs. Many students have concept and skill gaps with the four basic operations, and with fractions (equivalent fractions; multiplying and dividing; reducing and dilating). How can we fill these gaps by teaching R/P? It is more productive in the long run to directly address these underlying concepts and skills, rather than ignoring them. Provide pictures and stories to make math real, credible, and memorable. Remember what it s like to not know something. Move from concrete to abstract. If the students can repeat what you (or the book) told them, does it really mean they understand it? If the students understand what you (or the book) told them, does it mean they will remember it? Slow down, and you ll all get there faster. ASK, DON T TELL. Don t tell the answer to a problem. Ask a series of questions (starting with the easiest) that will cause the students to tell you the answer with certainty in their voice! Begin by engaging their amount sense in something that is simple and true; develop the sense of relative magnitude, then link that to a a math process that can be trusted to the standard procedural logic. Derive generalizations and definitions from repeated observations of physical phenomena (inductive reasoning precedes deductive reasoning). Instead of saying, Any questions? or Do you understand?, ask individual students questions; their responses will reveal what they understand. Continually look for evidence of the students thinking. Don t wait for students to ask questions. Ask them the questions they should be asking you but are afraid to ask, or don t know how to ask. Don t wait for students to ask for help. Choose a problem of appropriate difficulty and say, Show me how to do this problem, or Let s work this one together, or May I watch you do this problem? Use guided discovery to clarify concepts, and rapid reconstruction to develop fluent, concept-connected, contet-derived memory. GUIDED DISCOVERY: tell them what to do show them how to do it watch them and make sure they do it right ask them questions RAPID RECONSTRUCTION: develop memory ( remembering ) the same way that you learn your way around a new city not by memorizing, the way first-graders learn the Pledge to the Flag. Words that make students think: Read the problem to me. What do you think it means? What do they want to know? What does this number stand for? What does this word mean? Draw a picture of it. How else could we do it? Show me how you got that. Try again. Why? Is this true? How do you know? How did you know that so fast? Could it be (give a false answer, to make them think about what must be true).) Try it, and see if it works.
3 Halves Chart 00 J. Simpson 0 F -
4 Other Names for 00 J. Simpson One Half name: date: corrected by: Write all the equivalents of one half that are pictured on the Halves Chart (-): 0 Look at all the numerators that you just wrote. What do you notice? Look at all the denominators that you just wrote. What do you notice? Study the fractions that you wrote above, then cover them up. Without looking at the Halves Chart, write all the equivalents of one half that are pictured there, in order: 0 Do the math for boes,, and below. Then continue the pattern of multiplication for the other fractions. 0 a F -
5 A Half of a Half 00 J. Simpson A Third of a Half I got a whole pizza. Start here. which was of the original pizza. I cut it in half. I gave of my to my friend I kept half of it. I cut my half in half. I got a whole pizza. Start here. which was of the original pizza. I cut it in half. I gave of my to my friend I kept half of it. I cut my half in thirds. F -0 of
6 Multiplying Fractions 00 J. Simpson name: date due: corrected by: of is the same as of is the same as multiply the numerator times the numerator multiply the denominator times the denominator Multiply the fractions as shown above, and write the products (the answers). a F -
7 A Piece of a Piece I 00 J. Simpson F - b
8 Fraction Timer Critical This page uses the multiplication facts that are hardest to remember plus four others. Use Carmen's Denominator Chart (- ff.) to picture the problems. Practice in different orders until you can say the answers in minute. name: date: corrected by: Progress Chart: :00 :00 :0 :00 : :0 : :00 00 J. Simpson F - of
9 A B Comparing 00 J. Simpson name: date due: Let s compare A to B. Which has more? B, of course. How much more? Most people would say, One more, using addition ( + ) as a way of comparing. But some would say, B has two times as much using multiplication ( ) to make the comparison. Both ways of comparing are useful. Look at this pattern: Check the way of comparing that best describes this pattern: Look at this pattern: Check the way of comparing that best describes this pattern: Look at this pattern: Check the way of comparing that best describes this pattern: In this chapter on ratio, proportion, and scale, we will use multiplication and division as our main way of comparing. Use multiplication ( times ) to compare the figures below. The first eample is done for you. A B C D E F 0 G H I J K L PRR -
10 Comparing with Multiplication 00 J. Simpson name: date due: Use multiplication ( times ) to compare the figures below. The first eample is done for you. A B C D E F G H I J Use multiplication to compare the top amount to the bottom amount. Then write what you see as a fraction. The first eample is done for you. A C E G I B D F H J Is the bottom number always two times as much as the top number? Is the top number always a half of the bottom number? A Do A and I contain the same amount of gray? I B Do B and J contain the same amount of gray? We can see that one half and five tenths are equal fractions. 0 J Here are five ways to use multiplication or division to compare fractions, and show that they are equal PRR - 0 is half of 0
11 The Dollars Per Hour Chart 00 J. Simpson 0 0 MD -
12 Thinking About Stuff # 00 J. Simpson Use The Coin Chart (-), The Dollars Per Hour Chart (-), CookieMultiSorter (-), Make-a-Team Chart (-), Dozens of One-Dollar Bills (-), or The Number Line (-0) to picture the problems.. Two dogs went into the kitchen, where someone put four dimes and si pennies on the table. How much money is that? Also, how many coins are on the table?. Amadi has two sisters and one brother. He also has five dimes and a quarter. How many cents is that? How many coins is that?. Becca has 0. But what she wants to buy costs. She is going to meet five friends at the mall at :00. How many pennies and how many dimes does she need? How many coins is that?. The boss paid Carlo ten dollars every time he worked an hour. He worked four hours. And he watched television for two hours every day. How much money did he earn?. Donna was paid eleven dollars for every hour she worked. She was fourteen years old. She worked five hours, and was given a three-dollar bonus! How much was she paid?. Evan agreed to work for ten dollars per hour. There were si other workers. On payday, he got 0. How many hours did he work?. Friede made cookies for herself and some friends. She worked in the kitchen for hours. How many friends did she invite so that everyone had cookies?. Greg went to a soccer tournament with other players on buses. The referee reminded them that there are eleven players on a team. How many teams were there?. Hannah s allowance is 0 a week and she saved her allowance for weeks. She bought a present for her grandmother, who is, for. How much money does Hannah have left? 0. Izzy has a dog. Her mother gave her cookies to share equally between her and two of her friends. How many cookies will be left over for her dog?. Jose went to summer camp to learn to play soccer. He sat on the bus each day for one and a half hours with other guys. How many teams were there and how many had to stand on the sidelines and watch?. Katherine has. She needs to go on the ski trip to Lake Tahoe. She has a brother and a sister who are not going on the trip this year. How much does she need to earn so she can go on the trip? a MD -
13 TIME PRR - b
14 Each Ticket Costs J. Simpson 0 0 MD - c
15 Each Gallon Costs J. Simpson 0 0 d MD -
16 Shirts & Money 00 J. Simpson 0 0 MD - e
17 f 0 Pages Per Day 0 00 J. Simpson PRR -
3.1 Decimal Place Value
3.1. Decimal Place Value www.ck12.org 3.1 Decimal Place Value Introduction The Ice Cream Stand Julie and her friend Jose are working at an ice cream stand for the summer. They are excited because in addition
More informationCommon Denominators. of a cake. And clearly, 7 pieces don t make one whole cake. Therefore, trying to add 1 4 to 1 3
Common Denominators Now that we have played with fractions, we know what a fraction is, how to write them, say them and we can make equivalent forms, it s now time to learn how to add and subtract them.
More informationGrade 5 Mathematics Mid-Year Assessment REVIEW
Grade 5 Mathematics Mid-Year Assessment REVIEW The learning targets (Texas Essential Knowledge and Skill statements) are listed prior to sample items. The sample items are not an exhaustive list and only
More informationRatios, Rates & Proportions Chapter Questions
Ratios, Rates & Proportions Chapter Questions 1. How are ratios simplified? 2. How are equivalent ratios written? 3. How are unit rates determined? 4. How can equivalent rates help to solve problems? 5.
More informationProofs That Are Not Valid. Identify errors in proofs. Area = 65. Area = 64. Since I used the same tiles: 64 = 65
1.5 Proofs That Are Not Valid YOU WILL NEED grid paper ruler scissors EXPLORE Consider the following statement: There are tthree errorss in this sentence. Is the statement valid? GOAL Identify errors in
More informationTHANK YOU FOR YOUR PURCHASE!
THANK YOU FOR YOUR PURCHASE! The resources included in this purchase were designed and created by me. I hope that you find this resource helpful in your classroom. Please feel free to contact me with any
More informationCourse 1 Unit 4 Practice
Course 1 Unit 4 Practice Lesson 17-1 1. Use ratios to compare the shapes shown. a. black shapes to all shapes 4. Reason quantitatively. The number of ducks to geese in Miller s Pond last year was 2:3.
More informationLearning fun with.
Learning fun with #1 #4 Milton Hershey was born in 1857. How many years ago was he born? Milton Hershey opened his first candy shop in 1876. It closed six years later. What year did his candy shop close?
More informationUnit Four Answer Keys
Multiplication, Division & Fractions Unit Four Unit Four Answer Keys Session Blacklines A.., Unit Four Pre-Assessment Responses will vary. example example a b Sketches will vary. Example: a, Sketches will
More informationUses of Fractions. Fractions
Uses of The numbers,,,, and are all fractions. A fraction is written with two whole numbers that are separated by a fraction bar. The top number is called the numerator. The bottom number is called the
More informationMobile Math Teachers Circle The Return of the iclicker
Mobile Math Teachers Circle The Return of the iclicker June 20, 2016 1. Dr. Spock asked his class to solve a percent problem, Julia set up the proportion: 4/5 = x/100. She then cross-multiplied to solve
More informationModule 1. Ratios and Proportional Relationships Lessons 11 14
Math 7 Module Lessons.notebook September, 05 Module Ratios and Proportional Relationships Lessons Lesson # September, 05 You need: pencil, calculator and binder. Do Now: Find your group and complete do
More informationGrade Two Homework. February - Week 1
Grade Two Homework February - Week 1 MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY 1. SUSTAINED READING - Read for 20 minutes each night, log reading, and thinking. 2. FLUENCY - Set a timer for 1 minute. Read
More informationCreating Color Combos
THE 2016 ROSENTHAL PRIZE for Innovation in Math Teaching Creating Color Combos Visual Modeling of Equivalent Ratios Traci Jackson Lesson Plan Grades 5-6 Table of Contents Creating Color Combos: Visual
More informationHomework Week 1 Grade 5. Name
Homework Week 1 Grade 5 Name Week 1 Day 1 5 yards = feet 1) Draw an array to represent 3 2. 2) Point C is the center of the circle. What is the diameter of the circle? 20 in. C 1) 2) 3) 3) When you find
More informationWeekly Newsletter. January 16-19, 2018 Reading and Grammar Tests: Thursday, January 18 Spelling Test: Friday, January 19.
Weekly Newsletter January 16-19, 2018 Reading and Grammar Tests: Thursday, January 18 Spelling Test: Friday, January 19 Announcements January 18: Class Pictures January 30: 2 nd Grade Performs at APT Performance
More informationCheck back at the NCTM site for additional notes and tasks next week.
Check back at the NCTM site for additional notes and tasks next week. PROOF ENOUGH FOR YOU? General Interest Session NCTM Annual Meeting and Exposition April 19, 2013 Ralph Pantozzi Kent Place School,
More information6th Grade Advanced Topic II Assessment
1. The table shows the number of sport cards of each kind in Monique s collection. Monique s Sport Card Collection Kind of Card Baseball Basketball Football Hockey Total Number of Cards 36 28 20 16 100
More informationMath 81 Graphing. Cartesian Coordinate System Plotting Ordered Pairs (x, y) (x is horizontal, y is vertical) center is (0,0) Quadrants:
Math 81 Graphing Cartesian Coordinate System Plotting Ordered Pairs (x, y) (x is horizontal, y is vertical) center is (0,0) Ex 1. Plot and indicate which quadrant they re in. A (0,2) B (3, 5) C (-2, -4)
More informationLEAPS AND BOUNDS. Sample Activity. To browse or purchase any of our manuals please visit our web site.
LEAPS AND BOUNDS Sample Activity To browse or purchase any of our manuals please visit our web site www.leapsbounds.com The Committment We provide classroom-tested, step-by-step lessons that are clear,
More information[ 4TH GRADE MATH HOMEWORK] 5) Anibal used the model below to help find the sum of +. Does Anibal s model make sense? Explain your reasoning.
Week 4: Thursday 1) 7,643 x 8 = 2) + = 3) 6,523 6 = 4) 8,300 5,678 = 5) While working on a group project for homework three girls snacked on chocolate bars. Each girl had a chocolate bar of the same size.
More informationSummer School: 5 th Grade Math Common Core Activities. Name:
Summer School: 5 th Grade Math Common Core Activities Name: 2- DIGIT SUBTRACTION 3- DIGIT SUBTRACTION 2- DIGIT ADDITION 3- DIGIT ADDITION 4- DIGIT ADDITION PLACE VALUE 5,788-7,342-71,975-5,863-450,555-32,534-12,364-23,954-24,889-5,788-5,360-71,475-850,555-932,534-88,342-283,954-172,364-183,924
More informationI don t think we ve met.
U N I T 1 I don t think we ve met. Getting Ready 1 Write S if the expression is for strangers, and F for friends. I don t think we ve met. What s up? How have you been doing? Don t I know you from somewhere?
More informationFINAL REVIEW m rounded to the nearest centimeter is _. Choose the correct answer, and write its number in the parentheses.
FINAL REVIEW Choose the correct answer, and write its number in the parentheses. 1. What is the value of the digit 4 in 135.847? (1) 4 tenths (3) 4 hundredths 4 tens (4) 4 hundreds 2. What is the value
More informationMUSIC THEORY. The notes are represented by graphical symbols, also called notes or note signs.
MUSIC THEORY 1. Staffs, Clefs & Pitch notation Naming the Notes Musical notation describes the pitch (how high or low), temporal position (when to start) and duration (how long) of discrete elements, or
More informationLesson 10. Here are the first two worked out.
Lesson 10 This page is on word problems. They will be using multiplication, division, addition, and subtraction. They will need to take multiple steps to find the answer to the question. They could use
More informationUnit 7, Lesson 1: Exponent Review
Unit 7, Lesson 1: Exponent Review Let s review exponents. 1.1: Which One Doesn t Belong: Twos Which expression does not belong? Be prepared to share your reasoning. 8 1.2: Return of the Genie m.openup.org/1/8-7-1-2
More informationPreview Library Built Test (Printable Worksheet)
Page 1 of 10 Copyright 2015 Edmentum - All rights reserved. Ratio and Proportion 1. An item is priced at $13.56. If the sales tax is 5%, what does the item cost including sales tax? $0.68 $20.34 $14.24
More informationStudium Języków Obcych
I. Read the article. Are sentences 1 to 7 True (T) or False (F)? A NIGHT IN THE LIFE OF A HOT DOG SELLER In my job I meet a lot of interesting people. People like talking to me, they don t just want a
More informationa Forget Memorization book
a Forget Memorization book Effortless learning through images, stories, hands-on activities, and patterns by Sarah K Major Another great resource for right-brained learners from Childst Publications TABLE
More informationMcRuffy Press Fourth Grade Color Math Test 7
McRuffy Press Fourth Grade Color Math Test 7 Materials: Test pages (Resource pack, 3 sheets) Test Directions Page :. Problem solving: Solve the problems. 2. Fractions to decimals: Change the fractions
More informationTalking REAL Maths. A resource to engage children in discussion based on common errors and misconceptions in mathematics.
Talking REAL Maths A resource to engage children in discussion based on common errors and misconceptions in mathematics. ALGEBRA Discussion mat Suggested year group/ks APP link Simple Sequence Lower KS2
More informationComparing Fractions on Number Lines
s e s s i o n. B Comparing Fractions on Number Lines Math Focus Points Representing fractions on a number line Comparing fractions Identifying equivalent fractions Today s Plan Discussion Comparing Halves,
More informationConnecting Mathematics and Literature
Stories Students Can Count On! Connecting Mathematics and Literature Reasons to Make Connections To explore the relationship of mathematics to the world around us. To assist students in their acquisition
More informationKansas College and Career Ready Standards - Aligned NAEP Sample Questions. 4th Grade Reading
Kansas College and Career Ready Standards - Aligned NAEP Sample Questions 4th Grade Reading Reading Passage [1] Marian's Revolution by Sudipta Bardhan-Quallen Copyright 2005 Highlights for Children, Inc.,
More informationWarm-up: Thinking back to the chart from Friday, explain how you changed a number in scientific notation to standard form.
November 4, 2013 LEQ: How can you represent very large and very small numbers in an easier way? Warm-up: Thinking back to the chart from Friday, explain how you changed a number in scientific notation
More informationTo calculate the estimated number of fish killed by shrimp trawlers every year in the Gulf of Mexico I will 9,400,000 by.
Blue - Divide by Whole Numbers and Powers of 10 Metric Conversions 1. The thickness of a book, including the covers, is 2.1 cm. The front and back cover are each 0.5 cm thick. The book has 230 pages, numbered
More informationMy Book Of Money: Dollars And Cents PDF
My Book Of Money: Dollars And Cents PDF This sequel to My First Book of Money helps children make the difficult transition between cents and dollars. By first reviewing the names and values of coins, and
More informationDIFFERENTIATE SOMETHING AT THE VERY BEGINNING THE COURSE I'LL ADD YOU QUESTIONS USING THEM. BUT PARTICULAR QUESTIONS AS YOU'LL SEE
1 MATH 16A LECTURE. OCTOBER 28, 2008. PROFESSOR: SO LET ME START WITH SOMETHING I'M SURE YOU ALL WANT TO HEAR ABOUT WHICH IS THE MIDTERM. THE NEXT MIDTERM. IT'S COMING UP, NOT THIS WEEK BUT THE NEXT WEEK.
More informationd. Could you represent the profit for n copies in other different ways?
Special Topics: U3. L3. Inv 1 Name: Homework: Math XL Unit 3 HW 9/28-10/2 (Due Friday, 10/2, by 11:59 pm) Lesson Target: Write multiple expressions to represent a variable quantity from a real world situation.
More informationThe Math Maniac Show By: Taylor Loustaunau - Grade 4, Central Ave School, Naugatuck
The Math Maniac Show By: Taylor Loustaunau - Grade 4, Central Ave School, Naugatuck I have been to the Palace Theater in the past; however I have never visited the theater as an invited guest to participate
More informationMath Released Item Grade 5. Whole Number and Fraction Part 0542-M02399
Math Released Item 2017 Grade 5 Whole Number and Fraction Part 0542-M02399 Anchor Set A1 A10 With Annotations Prompt 0542-M02399 - Rubric Part A Score Description Student response includes the following
More informationOverview. Teacher s Manual and reproductions of student worksheets to support the following lesson objective:
Overview Lesson Plan #1 Title: Ace it! Lesson Nine Attached Supporting Documents for Plan #1: Teacher s Manual and reproductions of student worksheets to support the following lesson objective: Find products
More informationA Prickly Situation. Bart, the cowhand, sometimes walked in his sleep. His buddy, Simms, kept the
Name Encyclopedia Brown Read the selection. Then answer the questions that follow. A Prickly Situation Bart, the cowhand, sometimes walked in his sleep. His buddy, Simms, kept the bunkhouse cleaned up
More informationUnit 6. of Anna s family members in the correct spaces in the family tree. Look at the box with
88 Unit 6 Exercise 1. Filling in a Family Tree, p. 149: This is Anna s family tree. Listen carefully to the information. Write the names of Anna s family members in the correct spaces in the family tree.
More informationHEALTHY RELATIONSHIPS PUPPET SHOWS
HEALTHY RELATIONSHIPS PUPPET SHOWS These puppet shows were developed by the Spokane County (Washington State) Domestic Violence Consortium Education Committee. These can be adapted to be sensitive to the
More informationAristotle The Master of those who know The Philosopher The Foal
Aristotle 384-322 The Master of those who know The Philosopher The Foal Pupil of Plato, Preceptor of Alexander 150 books, 1/5 known Stagira 367-347 Academy 347 Atarneus 343-335 Mieza 335-322 Lyceum Chalcis
More informationCopyright 2014 Edmentum - All rights reserved.
Study Island Copyright 2014 Edmentum - All rights reserved. Generation Date: 04/01/2014 Generated By: Cheryl Shelton Title: grade 2 ELA Language Standards Alia saw her best friend Terry sitting by himself.
More informationParent Handbook! Third Grade: Benchmark 3!
Third Grade: Benchmark 3 Parent Handbook This handbook will help your child review material learned this quarter, and will help them prepare for their third Benchmark Test. Please allow your child to work
More informationSPEED DRILL WARM-UP ACTIVITY
SPEED DRILL WARM-UP ACTIVITY Name the operation representative of each of the following: percent left reduction total more half less twice off lower each double Write the equivalents: 20% as a decimal
More informationDevelopmental Sets. 1. Set I: (Spanish speaker)
Developmental Sets 1. Set I: (Spanish speaker) Where the lab report was put? What the girls are having for lunch? Why Lonna is leaving early today? How long Jimmy is going to be gone? 2. Set I: (Ukraine)
More informationHistograms and Frequency Polygons are statistical graphs used to illustrate frequency distributions.
Number of Families II. Statistical Graphs section 3.2 Histograms and Frequency Polygons are statistical graphs used to illustrate frequency distributions. Example: Construct a histogram for the frequency
More informationName&Surname. Level /Group. Room Number
SeatNo: AUSFL 2014 2015 FALL TERM C LEVEL MID-TERM TEST Name&Surname IDNumber Level /Group Room Number :....... :..... :.. :.. TOTAL SCORE : / 60 DURATION: 60 Minutesafter the Listening Section In this
More informationSpring 1 - Curriculum Map - Year Subject Week 1 Week 2 Week 3 Week 4 Week 5. Extending Narrative
Spring 1 - Curriculum Map - Year 6 2017 Subject Week 1 Week 2 Week 3 Week 4 Week 5 English Spellings, Grammar Poetry The Highwayman Introduction to the poem with a focus on imagery and language choices.
More informationFor future researchers: limitations, caveats and lessons learned
For future researchers: limitations, caveats and lessons learned October 2014 As a follow up to the meeting of researchers in Vienna on October 4, 2014, the Artist Revenue Streams team wanted to articulate
More informationBPS 7th Grade Pre-Algebra Revised summer 2014 Year at a Glance Unit Standards Practices Days
BPS 7th Grade Pre-Algebra Revised summer 2014 Year at a Glance Unit Standards Practices Days 1 All Operations with Integers 7.NS.1, 7.NS.2, 7.NS.3 1,4,6,8 7 2 All Operations with Rational Numbers 7.NS.1c,
More informationUnit 07 PC Form A. 1. Use pencil and paper to answer the question. Plot and label each point on the coordinate grid.
1. Use pencil and paper to answer the question. Plot and label each point on the coordinate grid. A (5,2) B (2,2) C (0,0) D (1,3) E (2,4) 2. Use pencil and paper to answer the question. Write two fractions
More informationPlease fax your students rhythms from p.7 to us AT LEAST THREE DAYS BEFORE the video conference. Our fax number is
Class Materials 1 Dear Educator, Thank you for choosing the. Inside this packet, you will find all of the materials your class will need for your upcoming Math and Music video conference. There are lessons
More informationSelena s Story. by: Tanila D.
One day at Jackson high school lived a young 15 year old girl named Selena Castro. She had moved to Jackson high school over spring break. At her new school she had no friends,and she wasn t fitting in
More informationpercents Common Core Standard 7.RP3 Use proportional relationships to solve multistep ratio and percent problems.
Intro All right, welcome to class everybody I need you guys to come in, take your seat Take out everything you need Put it on top of your desk I have something real special planned for you Now make sure
More information6-5 Solving Proportions
Solve each proportion. 24 12.6 34 esolutions Manual - Powered by Cognero Page 1 2.4 29 55 esolutions Manual - Powered by Cognero Page 2 TELEVISION Aspect ratio is the ratio of width to height of a television
More informationOn the weekend UNIT. In this unit. 1 Listen and read.
UNIT 7 On the weekend In this unit You learn time prepositions: on, at, in present continuous for future words for sports and then you can make suggestions talk about sports talk about future plans 49
More information12.1 Creating Systems of Linear Equations
Name Class Date 12.1 Creating Sstems of Linear Equations Essential Question: How do ou use sstems of linear equations to model and solve real-world problems? Resource Locker Eplore Creating Linear Sstem
More informationFractions. Chapter NUMBER. Big Idea. Learning Goals. Essential Question. Important Words
NUMBER Fractions Chapter Big Idea Understanding improper fractions and mixed numbers can help me solve problems. Learning Goals I can relate improper fractions to mixed numbers. Essential Question How
More informationTable of Contents. Introduction...v. About the CD-ROM...vi. Standards Correlations... vii. Ratios and Proportional Relationships...
Table of Contents Introduction...v About the CD-ROM...vi Standards Correlations... vii Ratios and Proportional Relationships... 1 The Number System... 10 Expressions and Equations... 23 Geometry... 27
More informationExamples and Anecdotes
Examples and Anecdotes Grade Level: 5-6 Teacher Guidelines Instructional Pages Activity Page Practice Page Homework Page Answer Key pages 1 2 pages 3 5 pages 6 page 7 page 8 page 9 Classroom Procedure:
More information1/9. Descartes on Simple Ideas (2)
1/9 Descartes on Simple Ideas (2) Last time we began looking at Descartes Rules for the Direction of the Mind and found in the first set of rules a description of a key contrast between intuition and deduction.
More information1. The trail around Lenape Lake is 0.8 mile long. What fraction is equivalent to 0.8? a. 0/8 b. 1/8 c. 8/10 d. 8/100
4.NF.5 1. The trail around Lenape Lake is 0.8 mile long. What fraction is equivalent to 0.8? a. 0/8 b. 1/8 c. 8/10 d. 8/100 2. Melissa lives 0.6 kilometer from her school. Which fraction is equivalent
More informationLittle Jackie receives her Call to Adventure
1 2 Male Actors: Discussion Question-Asker Adam 3 Female Actors: Little Jackie Suzy Ancient One 2 or more Narrators: Guys or Girls Narrator : Remember sixth grader Jackie who met the Ancient One in the
More informationMaths-Whizz Investigations Paper-Back Book
Paper-Back Book are new features of our Teachers Resource to help you get the most from our award-winning software and offer new and imaginative ways to explore mathematical problem-solving with real-world
More informationFunction- Invitations
Function- Invitations When friends get together, they usually do so by an invitation from one person to another. There are several expressions that can be used when extending an invitation. For Beginners
More informationUNIT 6 Ratios, Rates, Proportions and Measurement Conversions CCM6+7+ Name Teacher Estimated Test Date
Page 1 UNIT 6 RATIOS RATES PROPORTIONS Meas. CONVERSIONS CCM6+7+ UNIT 6 Ratios, Rates, Proportions and Measurement Conversions CCM6+7+ Name Teacher Estimated Test Date Main Topics Page Number(s) Unit 7
More informationGRADE 6 WINTER REVIEW MATH PACKET
Student Name: Date: Math Teacher: Period: GRADE 6 WINTER REVIEW MATH PACKET 2014-2015 Find the greatest common factor of each set of numbers. 1. 27, 36, 72 a. 216 b. 8 c. 9 d. 18 2. The table shows the
More informationì<(sk$m)=bdddcb< +^-Ä-U-Ä-U
Suggested levels for Guided Reading, DRA, Lexile, and Reading Recovery are provided in the Pearson Scott Foresman Leveling Guide. Earning Money My Own Way by Jane Cregg Genre Realistic fiction Comprehension
More informationSocial Studies LPA Assessment
Social Studies LPA Assessment 7 th Grade From Gutenberg to the Internet Instructions: Read the following article carefully and make notes in the margin as you read. Your notes should include: o Comments
More informationSelection Comprehension
Selection Comprehension Choose the best answer for each question. 1. How can readers tell The Babe and I is historical fiction? It has a real person and has events that could have happened. It has directions
More informationPresent perfect and simple past. LEVEL NUMBER LANGUAGE Beginner A2_2043G_EN English
Present perfect and simple past GRAMMAR LEVEL NUMBER LANGUAGE Beginner A2_2043G_EN English Goals Review the present perfect and the simple past Practice using the present perfect with adverbs 2 I have
More informationSPIRE MATHS Stimulating, Practical, Interesting, Relevant, Enjoyable Maths For All
Ratio and proportion TYPE: Main OBJECTIVE(S): Understand the relationship between ratio and proportion; use ratio notation, reduce a ratio to its simplest form and divide a quantity into two parts in a
More informationLESSON 1 PITCH NOTATION AND INTERVALS
FUNDAMENTALS I 1 Fundamentals I UNIT-I LESSON 1 PITCH NOTATION AND INTERVALS Sounds that we perceive as being musical have four basic elements; pitch, loudness, timbre, and duration. Pitch is the relative
More informationEmma is looking for a job. She needs to consider a number of different things before she applies. Emma sees the following job adverts.
Emma is looking for a job. She needs to consider a number of different things before she applies. Emma sees the following job adverts. Receptionist required Mon Fri 9am 4.30pm 7.50 per hour Vacancy Waiter/
More informationCreative Process. Colorado 21 st Century Skills. Creation. Expression. Theory. Aesthetic Valuation
Curriculum Development Course at a Glance Planning for 6 th Grade Music Content Area Music Grade Level 6 th Grade Course Name/Course Code General Music Standard Grade Level Expectations (GLE) GLE Code
More informationAn Introduction to Egyptian Mathematics
An Introduction to Mathematics Some of the oldest writing in the world is on a form of paper made from papyrus reeds that grew all along the Nile river in Egypt. The reeds were squashed and pressed into
More informationorca sports Betting Game Heather M. O Connor Orca Sports Teachers Guide Reading level: PB
Betting Game Heather M. O Connor Reading level: 2.0 978-1-4598-0931-4 PB Book Summary Jack s a star player on an elite soccer team along with his brother, Alex. The Lancers are on top of the league, even
More informationENGLISH FILE. End-of-course Test. 1 Complete the sentences. Use the correct form of the. 3 Underline the correct word(s) in each sentence.
CLSS GRMMR 1 Complete the sentences. Use the correct form of the verb in brackets. Example: I usually get up (get up) at seven o clock. 1 He (look for) a job when he leaves university. 2 I (be) to Italy
More information1 Family and friends. 1 Play the game with a partner. Throw a dice. Say. How to play
1 Family and friends 1 Play the game with a partner. Throw a dice. Say. How to play Scores Throw a dice. Move your counter to that You square and complete the sentence. You get three points if the sentence
More informationSTYLE. Sample Test. School Tests for Young Learners of English. Form A. Level 1
STYLE School Tests for Young Learners of English Level 1 Sample Test Form A Hellenic American University, Office for Language Assessment. Distributed by the Hellenic American Union. FREE OF CHARGE LISTENING
More informationSame and Different. Think and Discuss
Same and Different ACADEMIC PATHWAYS Lesson A: Listening to a Lecture Conducting a Survey Lesson B: Listening to a Conversation Giving a Presentation about Yourself 1UNIT Think and Discuss 1. Look at the
More informationACCELERATED MATHEMATICS CHAPTER 3 FRACTIONS TOPICS COVERED:
ACCELERATED MATHEMATICS CHAPTER FRACTIONS TOPICS COVERED: Divisibility Rules Primes & Prime Factorization Greatest Common Factor Least Common Multiple Fraction sense Adding and subtracting fractions and
More informationTRIAL TALK COLORADO TRIAL LAWYERS ASSOCIATION. October/November Years on the Side of People Volume 57 Issue 6
TRIAL TALK COLORADO TRIAL LAWYERS ASSOCIATION October/November 2008 54 Years on the Side of People Volume 57 Issue 6 A Radically New Approach to the Taking of the Deposition of the Defendant in an Auto
More informationMA 15910, Lesson 5, Algebra part of text, Sections 2.3, 2.4, and 7.5 Solving Applied Problems
MA 15910, Lesson 5, Algebra part of text, Sections 2.3, 2.4, and 7.5 Solving Applied Problems Steps for solving an applied problem 1. Read the problem; carefully noting the information given and the questions
More informationWritten Piano Music and Rhythm
Written Piano Music and Rhythm Rhythm is something that you can improvise or change easily if you know the piano well. Think about singing: You can sing by holding some notes longer and cutting other notes
More informationMath Conversation Starters
Math Conversation Starters How do you define? (You can fill this with anything) When do you use it in real life? I am thinking of a number that is less than 100. It s a square number. The sum of the digits
More informationDelta College Middle School Math Competition Practice Test A 2018
Delta College Middle School Math Competition Practice Test A 208 ) In the Noveo music group there are 4 times as many flutes as there are bassoons. The number of clarinets is 8 more than triple the number
More informationThe fear of the Lord is the start of wisdom, and the knowledge of the Holy One gives a wise mind. Bill s day
COLÉGIO SHALOM Ensino Fundamental 8º Ano Profª: Margareth Rodrigues Dutra Disciplina: Língua Inglesa Aluno(a): TRABALHO DE RECUPERAÇÃO Valor: 12,0 pontos Data de entrega: 04/08/2016 The fear of the Lord
More informationUnit 4 Proportional Reasoning: Ratio, Rate, and Proportion
Unit 4 Proportional Reasoning: Ratio, Rate, and Proportion Lesson Outline BIG PICTURE Students will: solve problems involving proportional reasoning. Grade 9 Applied Math Learning Goals Investigate ratio
More informationTEST NAME:Decimal Review TEST ID: GRADE:05 Fifth Grade SUBJECT: Mathematics TEST CATEGORY: My Classroom
TEST NAME:Decimal Review TEST ID:1123506 GRADE:05 Fifth Grade SUBJECT: Mathematics TEST CATEGORY: My Classroom Decimal Review Page 1 of 17 Student: Class: Date: 1. Which number line model represents the
More information1. There are some bananas on the table, but there aren t any apples.
Total Score / 00 points A [Track 6] Listen to the conversation between Rita and Mark. Circle the correct answer to complete each sentence.. Rita and Mark are going to study / watch a movie / eat pizza
More informationIST 101 Credit by Exam
IST 101 Credit by Exam Between independent clauses joined by a conjunction. Conjunctions: But And Or Yet Would you like to renew your membership, or would you like to cancel? We have all of those items
More informationChapter 2--Rhythm. Student: 1. The regular pulse in music is called the A. beat B. meter C. tempo D. rhythm E. measure
Chapter 2--Rhythm Student: 1. The regular pulse in music is called the A. beat B. meter C. tempo D. rhythm E. measure 2. Meter is the A. speed of the music B. regularity of the beat C. pattern of the beats
More informationBart vs. Lisa vs. Fractions
Bart vs. Lisa vs. Fractions The Simpsons is a long-running animated series about a boy named Bart, his younger sister, Lisa, their family, and their town. One episode in the 14th season featured an unexpected
More information