Backward Plan: Measurement, Grade 3 Advanced Targeting Big Idea/Enduring Understanding Measurement can be used to compare attributes of objects There are a variety of measurement tools that can be used to measure objects Measurement aids people to make better sense of their world. Skills and Concepts—Need to know and be able to do Estimate measurements to the nearest unit of measurement. Compare like units of measurement. Measure objects to the nearest unit of measurement Worth Being Familiar With (Academic vocabulary and Concepts 1-2 years above grade level) volume area decimal amounts Conceptual Lens: Measurement aids people in performing and completing tasks on a daily basis. Created by Jordana Belch Summer 2011 1 Backwards Plan Grade Level: 3 Name of Unit: Measurement Author(s): Jordana Belch with contribution from members of the Pasco School District Unit Description: Students will explore concepts of measurement including weight, capacity, temperature, and length. Students will compare and contrast like units of measurement. They will make predictions about the relationships between measurements as the perform hands on activities that familiarize them to different forms of measurement. Core Content: Math Stage 1-Desired Results Enduring Understandings/Big Ideas: Essential and Guiding Questions: Why do we measure objects? Measurement can be used to compare How do people use measurement on a daily basis? attributes of objects. Different measurement systems will explain Why are their different units of measurement? What could you learn by measuring an object using different attributes about the same object. different measurement? Measurement is used on a daily basis by How do you compare the size of a baseball to the many professionals all over the world. size of a basketball using units of measure? Students will understand that… Students will be able to… There are different forms of measurement that are used to measure different characteristics about objects When used accurately, measurement tools explain important characteristics about objects. Precision is important when measuring and comparing objects. Estimate measurements to the nearest unit of measurement. Compare like units of measurement. Measure objects to the nearest unit of measurement Compare and contrast uses for different measurement systems Stage 2-Assessment and Evidence Performance Tasks: Other Evidence: Measurement station performance Discussion Formative and summative assessment Narrative writing Poetry Science Standards Students will understand that… Students will be able to… 2-3 INQB Investigate A scientific investigation may include making and following a plan to accurately observe and describe objects, events, and organisms; make and record measurements, and predict outcomes Record measurements of different objects. Analyze the importance of measurement tools. Choose the correct measurement tool to measure different items. 2-3 INQD Investigate Simple instruments, such as magnifiers, thermometers, and rulers provide more information than scientists can obtain using only their unaided senses Created by Jordana Belch Summer 2011 2 Students will understand that… Math Standards Students will be able to… 3.5.C Estimate, measure, and compare weight and mass using appropriate-sized U.S. customary and metric unit 3.5.D Estimate, measure, and compare capacity using appropriate-sized U.S. customary and metric units. 3.6.I Summarize mathematical information, draw conclusions, and explain reasoning. Students will understand that… Social Studies Standards Students will be able to… 4.2.2 Understands how contributions made by various cultural groups have shaped the history of the community and world Students will understand that… 1.2.2. Apply vocabulary strategies in grade-level text. 1.3.2 Understand and apply content/academic vocabulary critical to the meaning of the text. 3.2.1. Understand information gained from reading to perform a specific task. 3.2.2. Apply understanding of a variety of functional documents. 2.1.4. Apply comprehension monitoring strategies before, during, and after reading: use prior knowledge/schema. Estimate measurements to the nearest unit of measurement. Compare like units of measurement. Measure objects to the nearest unit of measurement Compare and contrast different systems of measurement used in the USA, Mexico, and Canada Reading Standards Students will be able to… Define words and concepts necessary for understanding math, science, social studies, literature, and other content area text. Explain connections between self and characters, events, and information occurring within culturally relevant text or among multiple texts. Call on prior knowledge about a topic and organize information into a graphic organizer to aid in comprehension of text. Uses meaning of prefixes, suffixes and abbreviated words to determine the meaning of unknown words in grade level text. Use prior knowledge, context, pictures, illustrations, and diagrams to predict, clarify, and/or expand word meaning including multiple meaning words. ELD Reading Standards—These will vary with needs of students Created by Jordana Belch Summer 2011 3 Students will understand that… Students will be able to… 1.2.2. Apply vocabulary strategies in grade-level text. B: Given pictures and illustrations, indicate word meaning. Identify pictures from written labels or identify text words or phrases from pictures AB: Demonstrate understanding of affixes and roots in familiar words. Apply word-meaning strategies in text (e.g., word structure, phonics, abbreviations, illustrations, prior knowledge and context). I: Re-read, read on, and ask for help to gain meaning of unknown words. T: Explain how to derive word meanings from knowledge of affixes and roots. 1.3.2 Understand and apply content/academic vocabulary critical to the meaning of the text. B: Produce one-word responses to simple questions or a prompt.; Use a word or gesture to participate in a discussion or activity around content area concepts and vocabulary. AB: Use words and/or phrases to participate in discussions of short, illustrated stories and show understanding of vocabulary. I: Use descriptive sentences to discuss words and concepts across content areas; Identify familiar words with multiple meanings. A: Identify and define words and concepts across content areas; Identify words with different meanings in different content areas. T: Explain how some words have different meanings in different content areas (e.g., area in math and geography). 3.2.1. Understand information gained from reading to perform a specific task. B: Match printed word with common school item. Use word, gesture, or drawing to demonstrate comprehension of environmental print (e.g., school signs and labels in classroom). AB: Match simple sentences to demonstrate comprehension of environmental print (e.g., school signs, labels in classroom). I: Use simple sentences to demonstrate comprehension of environmental print (e.g., school signs, labels, street signs). A: Use descriptive sentences to demonstrate comprehension of environmental print (e.g., school signs and labels in classroom) 3.2.2. Apply understanding of a variety of functional documents. AB: Use words and/or phrases to identify functional documents (e.g., letters, forms, and menus). I: Use simple sentences to discuss the use of functional documents that are used in a school setting (e.g., bus schedules, lunch menus). T: Use specialized vocabulary to locate and use functional grade-level Created by Jordana Belch Summer 2011 4 2.1.4. Apply comprehension monitoring strategies before, during, and after reading: use prior knowledge/schema. B: Use gesture or words to participate in a discussion connecting self with characters, events and information from text read aloud. AB: Use words and/or phrases to participate in a discussion connecting self to characters, events and information from text read aloud. I: Use simple sentences in discussion or on a graphic organizer to connect prior experience and knowledge to characters, events, and information within a text. A: Use descriptive sentences to connect current issues, prior knowledge and experience to characters, events, and information within a text. T: Use appropriate graphic organizer to connect current issues, prior experience and knowledge to characters, events, and information across texts. Writing Standards Students will understand that… 1.1.1 Applies at least one strategy for generating ideas and planning writing. 3.2.2. Uses language appropriate for a specific audience and purpose. 3.3.6. Uses complete sentences in writing. Students will be able to… Plan intentionally with a graphic organizer. Take notes from more than one source. Uses content vocabulary in written work Uses prior conventional skills from L1 3.3.8 Applies conventional forms for citations ELD Writing Standards Students will be able to… Beginning Draws, labels Writes familiar words and sight words Writes to name, describe, or complete a list Begins to use invented spelling, capital letters, participates in group editing Identifies an intended audience Sequences pictures to assist with organization Uses graphic organizers to convey main ideas and details Participates in group writing process Advanced Beginning Writes unfamiliar words and phrases Begins to write based on a model or frame Demonstrates inconsistent use of: Capitals Punctuation Correct spelling Writes for self, family, friends, and teacher Brainstorms and writes rough draft Participates in group revision Created by Jordana Belch Summer 2011 5 Intermediate Writes simple sentences Demonstrates increasing control of: o Capitals o Punctuation o Correct spelling o Word order o Subject/verb agreement Develops own voice in writing Distinguishes among registers for different audiences Recognizes the cultural backgrounds of potential audience Uses basic transitions Writes individually and in a group process Advanced Uses descriptive sentences Writes for a variety of audiences and purposes Uses grade level conventions inconsistently Refines voice in writing Begins to adjust registers for different audiences Respects the cultural backgrounds of potential audience Uses a topic sentence and supporting details Communication Standards Students will understand that… Students will be able to… • Makes inferences (e.g., Music/Dance: moves to the 1.2.1 Applies strategies to comprehend music and/or creates a movement to demonstrate what auditory and visual information. he/she heard or saw). • Listens for, identifies, and explains personal connections to events and emotions and connections between events (e.g., the feelings expressed by a character on stage, a news story, and a school service project). • Draws simple conclusions from auditory and visual information in content areas (e.g., Math: “You can make your graph look like a lot of people want a party if you make the scale unit very small.”). • Summarizes stories, information, and videos with teacher assistance (e.g., Science: summarizes an investigation by describing reasons, observations, data, and results). Listening and Speaking ELD Standards Created by Jordana Belch Summer 2011 6 Students will understand that… 1.2.1 Applies strategies to comprehend auditory and visual information. Students will be able to… 1.2B Use physical actions and/or words to respond to simple directions and questions. 1.2AB Respond to directions and questions; Use phrases to identify main points of simple conversations and stories. 1.2I Respond to directions, questions, and some idiomatic expressions; Use simple sentences to retell or state main point and details of conversations and stories; Recognize inappropriate use of register; Recognize that words may have different meanings in different contexts. 1.2A Respond to multi-step directions and to questions; Use descriptive sentences to retell stories in detail including characters, setting, and plot; Independently recognize inappropriate use of register; Use context to determine appropriate meaning of multiple meaning words. 1.2T Respond to multi-step directions and to questions; Use descriptive sentences to retell or state main point and supporting details of conversations, oral presentations and familiar literature and subject area content; Recognize inappropriate use of register and suggest alternatives; Use context to determine appropriate meaning of multiple meaning words. Process Grid Attributes of Measurement Capacity Why Units & Tools Capacity is used to determine: US standard units include: pints, cups, quarts, and gallons, tablespoons and teaspoons. how much cereal can fit in a box. how much water can fit in a bottle to add the correct amount of ingredients to a recipe to know how much to charge for gas Weight/Mass To know how heavy Created by Jordana Belch Summer 2011 Metric units are Liters and deciliters. Measuring cups Who Chefs Scientists Interesting Facts In Canada, gasoline is sold by the liter. Engineers Surveyors Construction workers Long ago people based units of capacity on how much their baskets or clay pots would hold. Architects Many American colonists immigrated from England. We still use the many English units of dry and liquid measurements. Measuring spoons Beakers (science labs) Graduated cylinder (science lab Ounce (oz.) Physicists Very small things are measured in 7 something is Pound (lb.) Biologists nanograms. Balance scale Doctor Scale Us The abbreviation lb. for pound came from the Roman word “libra”. Spring scale Time Show the passage of time Years-calendar Chef Months-calendar Bus driver Days-calendar Teacher Hours- clock/watch Biologist Minutesclock/watch Doctor There are 365.26 days in a year. For this reason ever fourth year February has 29 days instead of 28. The Aztec sacred calendar has 260 days and is called the Nahuatl Big Ben in England is known all over the world as one of the most accurate clock towers ever built. Sun Length People want to know how wide, how long, how far, how high, and how deep something is U.S. Customary Units Foot Yard Construction workers Metric Units Police Centimeter Biologists Mete Stick Carpenters Yard Stick Interior designers Odometer Rollatape Temperature People measure temperature to tell the amount of hot or cold in a substance. U.S. Customary Degrees Fahrenheit(F) Metric Units DegreesCelsius Created by Jordana Belch Summer 2011 Architects People used to use cubits to measure length. A cubit is a length of your arm. King Henry the I determined that a yard would be the distance from the tip of his nose to the tip of his thumb. Doctor Yearscalendar Monthscalendar (C) Dayscalendar Thermometers Hours- On the Fahrenheit scale 32 is freezing and 212 is boiling. On the Celsius scale 0 is freezing and 100 is boiling. 8 clock/watch Minutesclock/watch Sun Stage 3-Learning Plan All vocabulary that supports your unit of study Tier 1 Tier 2 Tier 3 Basic Words Transferable-High Utility Content Specific Good for Spelling, work Good for CCD Good for Pictorials, with phonics, realia Ex: process, transparent, Chants, Poems, Ex: baby, happy graphic organizers characteristics Ex: isotope, lathe, peninsula Cup Pint Quart Gallon Liter Milliliter Inch Foot Meter Yard Centimeter Pound Ounce Gram Kilogram Heavy Light Long Short Compare Created by Jordana Belch Summer 2011 Weight Mass Capacity Measurement Estimate Volume Perimeter Length Width Area 9 Cognitive Content Dictionary Planning Word Synonym and Gesture Definition Word Study L1 and Sketch Holding ability Capacity (make the shape of a botte) Weight Heavy or light (drop hands low and raise them up like they are floating) Mass Gravity (hold a fake spring scale and have it go up and down) Example of Teacher’s Oral Sentence -ity The maximum amount that can be Forms nouns contained by an object. Indicates a state or condition (capacidad‐draw gallon of milk) Ability, charity, maturity The capacity of water that a swimming pool can hold is more that a glass. How heavy something is. The weight of the watermelon is more than the apple. (peso-picture of a bathroom scale) a physical quantity expressing the amount of matter in a body. Other words containing spelling pattern –eight Eight, eighty, sleight, freight, neighbor Mass from Latin massa that which forms a lump The mass of the paperclip is smaller than the mass of the apple. (picture of a spring scale) Measurement Fid the size The act of process of measuring (hands like a cup) -ment A suffix of an noun I can find the measurement of the apple by weighing it. Indicates of process or action Estimate About how much (hold hand in front of you like you are measuring something) Created by Jordana Belch Summer 2011 To form an opinion regarding the amount, size or weight of an object -ate Spelling pattern A consonant e State, create, date I estimate that the tomato weighs 7 ounces. 10 Preparatory Research Bibliography: Include text books, website URLs, magazines, books, and videos that helped to build your knowledge of the subject http://www.historyworld.net/wrldhis/PlainTextHistories.asp?ParagraphID=cah https://standards.nasa.gov/history_metric.pdf http://library.thinkquest.org/J002831/metrictimeline.htm http://www.cftech.com/BrainBank/OTHERREFERENCE/WEIGHTSandMEASURES/MetricHistory.html http://www.azteccalendar.com/azteccalendar.html Student Texts for Research Library: (Bibliography and list of books, realia, primary documents, etc.) Millions to Measure by David M. Schwartz and Steven Kellog How Big is a Foot? By Rolf Myller Pastry School in Paris: An Adventure in Capacity by Cindy Neuschwander and Langdo Capacity (Math Counts) by Henry Pluckrose and Ramona G. Choos Dime Cuanto Pesa (Los Estupendos Whiz Kids, Spanish Edition) by Shirley Willis Tell Me How Far It Is (Whiz Kids) by Shirley Willis What's Up With That Cup? (level 2) (Hello Reader, Math) by Sheila Keenan and Jackie Snide How Do We Measure? - Temperature by Chris Woodford and Darren Awuahr Is It Hot or Cold? Learning to Use a Thermometer (Math for the Real World: Upper Emergent) by Wes Lipschultz Jim and the Beanstalk by Raymond Briggs Observation Charts: 3-4 pictures per chart. 6-10 charts. Pictures are high interest, and grouped by theme. Briefly describe each theme for each chart. 1. Different scales 2. Measuring spoons and cups 3. Digital and analog clocks 4. Length measuring tools 5. Temperature measuring tools 6. Metric and gallon measuring tools Inquiry Chart Questions: Record questions below What do you know about measurement(weight, What do you want to know about measurement capacity, mass, temperature, and length)? (weight, capacity, mass, temperature, and length)? Teacher Made Big Book that supports your big idea or theme: Title: The Adventures of Pablo: Comparing Measurements Created by Jordana Belch Summer 2011 11 Big idea or theme to be covered: Measurement can be used to compare attributes of objects Vocabulary: attribute, length, weight, temperature, capacity, contain Low Affective Filter/ Repeating Phrase or Pattern: The important thing is that measurement can be used to compare attributes of objects. Write Big Book Text Here: Length is an attribute that tells how long, how wide, how far, or how thin an object is. Pablo curiously entered the shoe store. The salesman asked, Are the brown shoes longer than the red shoes? Yes, the red shoes are shorter than the brown. shoes. Weight is an attribute that tells how heavy or light the object is. Next, Pablo hurried along to the market. The produce clerk asked, Is the pumpkin heavier than the strawberry? Yes, the strawberry is lighter than the pumpkin. Temperature is an attribute that tells how hot or cold a substances measures. Pablo perspired as he walked toward the bank. He looked up to check the temperature on the sign. He wondered, Is it warmer than 70 degrees Fahrenheit? Yes , but it's cooler than 90 degrees Fahrenheit. Capacity is an attribute that tells how much an object can contain. Pablo decided to buy an ice cream. He asked the server, Is a cup less ice cream than a quart of ice cream? Yes, a quart is more ice cream than a cup of ice cream. Money is an attribute that tells the value of goods or services. Pablo excitedly took his piggy bank to the bank. He asked the banker, Do 85 pennies have a greater value than 7 dimes? Yes, 7 dimes have a greater value than 85 pennies Time is an attribute that tells how long until an event, how long an event lasts, or identifies a specific moment. After a busy day in town, Pablo was restless to go play. He wondered, Will it take more time to ride my bike to the park or to walk to the park? Yes, riding my bike to the park will take less time than walking to the park. Big Idea Pictorial Input Chart Insert picture of or create electronically one of the following Timeline, World Map, or Six Kingdoms or other Big Idea Input Chart Include teaching notes—What are you going to say as you draw the input chart? Time Line for Measurement Unit‐Metric Timeline Created by Jordana Belch Summer 2011 12 Input 1670 Gabriel Mouton, Vicar of St. Paul's Church in Lyons and an astronomer, proposed comprehensive decimal measurement system 1670 The meter is invented as 1/10,000,000 of the distance from the equator to the North Pole on the meridian line. 1790 National Assembly of France requested that there be a standard for measures and scales‐ created the metric system 1790 Thomas Jefferson introduced a measurement system based on ten for the United States. 1795 France was the first country to adopt the metric system. 1840 The metric system was made compulsory in France 1866 The United States made it lawful to use the metric system 1875 "Treaty of the Meter” 17 countries finalized the metric system 1879 The United States approves the Treaty of the Metre. 1893 U.S. customary measurements (inches, feet, pounds, ounces, etc.) are officially defined in metric terms by The Mendenhall Order. 1974 A United States law that encourages schools to teach the Metric System is passed. 1975 The Metric Conversion Act was passed to plan for and encourage the change to metric in the U.S. 1983 The meter is redefined in terms of the speed of light. 1902 A bill brought before the Congress to make the Metric System mandatory within the Federal Government was defeated. 1991 President Bush signed an order that made anyone who worked for him or a federal agency use the metric system. 2009 All products sold in Europe must be labeled ONLY in metric units. Created by Jordana Belch Summer 2011 13 Background knowledge When the Roman Empire passed into history about six hundred years after the time of Christ, Europe then drifted into the Dark Ages. For six or seven hundred years mankind generally made little progress with regard to standardizing measurement. Sometime after the Magna Charta was signed in the Thirteenth Century, King Edward I of England took a step forward. He ordered a permanent measuring stick made of iron to serve as a master standard yardstick for the entire kingdom. This master yardstick was called the "iron ulna", after the bone of the forearm, and it was standardized as the length of a yard, very close to the length of our present-day yard. King Edward realized that constancy and permanence were the key to any standard. He also decreed that the foot measure should be one-third the length of the yard, and the inch one thirty-sixth. King Edward II, in 1324, reverted back to the seed concept of the ancients and passed a statute that "three barleycorns, round and dry," make an inch. However, seeds as well as fingers and feet were no match for a world that soon was to emerge from the ignorance and unrefined practices of the Dark Ages. In 1672, Sir Isaac Newton presented the world with new ideas on the nature of light and color. He had noticed that when two flat pieces of glass were pressed together, he could see circular bands of rainbow-like colors. These were called Newton's Rings. Actually, Newton had come upon a very precise method of measurement, but he didn't recognize it as such at the time. Later, other scientists were to build on Newton's seminal findings and establish a new branch of science called interferometry . Today, this method of using a ray of light as a measuring stick enables man to measure distances within millionths of an inch or a millimetre. As the scientists were experimenting in their laboratories, practical tradesmen were making themselves permanent standards. In 1793, during Napoleon's time, the French government adopted a new system of standards called the metric system, based on what they called the metre. The metre was supposed to be one tenth-millionth part of the distance from the North Pole to the Equator when measured on a straight line running along the surface of the earth through Paris. With the metre now determined as the basis of the metric system, other linear units of the system were set up in decimal ratios with the metre. With this system, all units are in multiples of ten: ten decimetres in a metre, a hundred centimetres in a metre, and a thousand millimetres in a metre. In the other direction, there are ten metres in a dekametre, a hundred metres in a hectometre, and a thousand metres in a kilometre. Compared to the yardstick, the metre is just a little longer: 39.37 inches long. The metric system also has volume, liquid capacity, and weight measures. The litre is the basic measure of liquid capacity. It corresponds roughly to a quart. For weight, the basic unit in the metric system was at first the gram; now it is the kilogram. The gram was a very small unit, for it takes a thousand grams -- or what is known as a kilogram -- to equal about 2.2 pounds. The French government thought it had an infallible system of weights and measures that would be easy to use and would be embraced by everyone. But people were accustomed to thinking in terms of yards, inches, pounds and quarts. At first the new metre as a measure of length proved confusing. Most Frenchmen thought in the old familiar terms, doing some mental arithmetic to convert one quantity into another and, after nineteen years, Napoleon finally was forced to Created by Jordana Belch Summer 2011 14 renounce the metric system. However, in 1837, France again went back to the metre, this time for good, hoping to make it universal throughout the world. Today almost all of the countries of the world use a modernized metric system called the SI metric system. While France was evolving the metric system, England also was setting up a more scientifically accurate determination of the yard. Where the French relied on the assumed constancy of the earth's size as a basis for the permanency of their standards, the British turned to the measured beat of the pendulum. Galileo already had learned the secrets of a pendulum. He found that the length of time it took for a pendulum to complete a swing depended upon the length of the pendulum itself. The longer the pendulum, the slower it swung. He also found that a pendulum a little over 39 inches long would swing through its arc in exactly one second. Since a pendulum always behaves exactly the same way under the same conditions, here was another unchanging distance upon which to base a standard measurement. In 1824, the English Parliament legalized a new standard yard which had been made in 1760. It was a brass bar containing a gold button near each end. A dot was engraved in each of these two buttons. These two dots were spaced exactly 1 yard apart. The same act that legalized this bar as the standard for England also made the provision that, in the event it was lost or destroyed, it should be replaced using the pendulum method to determine its length. A few years copies of both the English yard and the French metre standards were brought to the United States. The English system of measuring was almost universally adopted in the United States. Taken from http://www.cftech.com/BrainBank/OTHERREFERENCE/WEIGHTSandMEASURES/MetricHi story.html Narrative Input Chart Write text here if you are creating your own or cite the text you are going to use if using a published text. Fannie in the Kitchen: The Whole Story from Soup to Nuts of How Fannie Farmer Invented Recipes with Precise Measurements by Deborah Hopkinson and Nancy Carpenter Created by Jordana Belch Summer 2011 15 Pictorial Input for Process Grid Capacity The maximum amount that can be contained by an object Why Units and Tools Used to determine: US standard units: pints, cups, quarts, and gallons, tablespoons and teaspoons. Metric units: Liters, milliliters and deciliters. Tools: o Measuring cups o Measuring spoons o Beakers (science lab) o Graduated cylinder (science lab) how much cereal can fit in a box. how much water can fit in a bottle to add the correct amount of ingredients to a recipe to know how much to charge for gas Who Interesting Facts Chefs Scientists Engineers Surveyors Construction workers Architects Created by Jordana Belch Summer 2011 In Canada, gasoline is sold by the liter. Long ago people based units of capacity on how much their baskets or clay pots would hold. Many American colonists immigrated from England. We still use the many English units of dry and liquid measurements. 16 Mr. Gallon Man 4 quarts=1 gallon 2 pints= 1 quart 2 cups= 1 pint Created by Jordana Belch Summer 2011 17 Chants and Poetry Measurement Systems By Velma Cassa, Edelina Etsitty, Ella Shortey, & Jabbar Beig Is this the metric system? Is this the metric system? How do you know? How do you know? Give me an example. Give me an example. Oui, oui Ja, ja Liters and meters Mili- and centiKilometer (km) Kilogram (kg) Is this the US customary system? Is this the US customary system? How do you know? How do you know? List a few. List a few. Name the rest. Woo hoo! Yes, yes Aơ, aơ No easy way Studied it Inches, feet, yards Spoons, ounces, cups Pints, quarts, gallons Created by Jordana Belch Summer 2011 18 10 Little Millimeters Lyrics © 2006 by Casandra Benedict Frost Elementary, Pasco WA Adapted from: Ten Little Indians One little, two little, three little millimeters, Four little, five little, six little millimeters, Seven little, eight little, nine little millimeters, Ten millimeters in a centimeter. One little, two little, three little centimeters, Four little, five little, six little centimeters, Seven little, eight little, nine little centimeters, Ten centimeters in a decimeter. One little, two little, three little decimeters, Four little, five little, six little decimeters, Seven little, eight little, nine little decimeters, Ten decimeters in a meter. One hundred, two hundred, three hundred meters, Four hundred, five hundred, six hundred meters, Seven hundred, eight hundred, nine hundred meters, One thousand meters in a kilometer. The Metric System is easy to learn, The Metric System is fun to use, The Metric System is based on tens, Let’s sing about it again. Created by Jordana Belch Summer 2011 19 Length is Fun © 2005 by Debbie O'Donnell Westgate Elementary, Kennewick School District Tune: "Row, Row, Your Boat" 12, 12, 12 Inches make a foot. Measure short things with the foot. Length is so much fun. 3,3,3, Feet are in a yard. Measure long things with a yard. Length is so much fun. Inch, inch, inch Inches are in yards. Thirty-six, thirty-six, Inches make a yard. Created by Jordana Belch Summer 2011 20 Mathematics Bugaloo Lyrics © 2004 by Vickie Kaufman Pasco School District Adapted from "I'm a Crustacean" by Andy Brechtel I’m a mathematician and I’m here to say I do mathematics every day. Sometimes I just use paper Sometimes I use my head Or maybe a calculator will do instead. Problem solving, number sense, Statistics too Doing the mathematics Bugaloo. First, I study the problem To get a clue Just what’s the problem asking me to do? Next I choose a strategy Which one shall I try? Once I have decided The strategy I apply. Then I work the problem showing All the steps too, Last I check my answer, Bugaloo. Created by Jordana Belch Summer 2011 21 Weighing By S.K. Ware An ounce, a pound, or even a ton, Weighing things can be so much fun. An ounce to weigh something really tiny, Like a penny, so bright and shiny. Use pounds to weigh larger things Or groups of more People, some animals, and vegetables for sure! But what about things that are really GIGANTIC, Like big trucks and ships as large as the TITANIC? Use tons, to weigh things that are super heavy, Like elephants, whales, and your grandpa’s old Chevy! Created by Jordana Belch Summer 2011 22 Expert Group 1 Write the expert group text. Be sure to include text boxes below each paragraph for sketching. Capacity Why Capacity is used to determine how much cereal can fit in a box. It can also be used to show how much water can fit in a bottle or bath tub. In the kitchen capacity allows a chef to add the correct amount of ingredients to a recipe. When filling a car up at a gas station, capacity allows the person to know how much to pay for the gasoline. Units and Tools Capacity can be measured using US standard units which include pints, cups, quarts, and gallons as well as the smaller measurements of tablespoons and teaspoons. Some tools that are used to measure capacity in US standard units are measure cups and spoons. Capacity can also be measured using the metric units of liters, milliliters, and deciliters. Some tools that are used to measure capacity using the metric system are beakers and graduated cylinders. Created by Jordana Belch Summer 2011 23 Who There are many professions that use capacity on a daily basis. For example, chefs use pints, cups, quarts, gallons, tablespoons and teaspoons to ensure that their recipes turn out perfectly. In science laboratories scientists use beakers and graduated cylinders to measure liquids they are testing. Architects use capacity to find the exact size of the buildings they are building. Truck drivers need to know the capacity of their gas tank so that they know how far they can drive before they refuel. Interesting Facts In Canada and Mexico gasoline is sold by the liter instead of the gallon like in the United States. Long ago people base units of capacity on how much their baskets or clay pots would hold. Many American colonists immigrated from England. We still use the many English units of dry and liquid measurements. Created by Jordana Belch Summer 2011 24 Expert Group 2 Write the expert group text. Be sure to include text boxes below each paragraph for sketching. Weight and mass Why Weight and mass are used to tell how heavy something is. It is a task people perform almost every day. People weigh food, the mail, and many commodities. Units and Tools The US standard units weigh items using ounces for light items and pounds for heavier items. The metric system weighs using grams for light items and kilograms for heavier items. For both US standard units and metric units balance scales, scales, and spring scales are the tools of measurement that are used. Created by Jordana Belch Summer 2011 25 Who Have you ever gone to the doctor? Well if you have you know that as part of the routine they tell you to stand on a scale to determine your weight. Engineers must know the weight of the steel, wood and other materials they are using to make sure the structures they make can hold the weight. Chefs also weigh some ingredients when finding the capacity would be too difficult. Your mom and dad use weight every time they go to the store and buy fruits and vegetables because the price of many of these items is determined by their weight. Interesting Facts If a scientist wants to measure something very small they will measure it in nanograms. Also, the abbreviation lb. for pound came from the Roman word “libra” which also sounds like the Spanish word libre. Another interesting fact about measurement is that in Canada and Mexico they weight items using the metric system. Created by Jordana Belch Summer 2011 26 Expert Group 3 Write the expert group text. Be sure to include text boxes below each paragraph for sketching. Length Why People want to know how wide, how long, how far, how high, and how deep something is. For this reason length is such an important form of measurement in the world today. In order to travel to the moon scientist need to measure the distance between the earth and the moon. Length was the measurement they used. Units and Tools Using U.S. customary units, people measure using inches, feet, and yards. The tools used to measure are the ruler, measuring tape, and yard stick. People select the most appropriate measuring tool when beginning to measure the length of something. When using the metric system, people measure using centimeters, meters, and kilometers. The tools used to measure these distances are similar to the U.S. customary units: the ruler, a meter stick, and a measuring tape. For long distances, odometers, like the ones in cars can also be used. Created by Jordana Belch Summer 2011 27 Who Many professions need to measure the length of objects in order to be successful. For example, architects must take accurate measurement of buildings they are designing so that the construction workers know exactly how long to cut the materials. It these measurements are not perfect the building could collapse or not go together at all. Car designers need to measure each part of the car to make sure that it will fit together. Doctors measure the height of individuals and also know the average measurements of bones and human organs. They use these to diagnose many diseases. Interesting Facts Before the development of the US standard system and metric system, people used to use cubits to measure length. A cubit is a length of your arm. After this, King Henry the I, the king of England determined that a yard would be the distance from the tip of his nose to the tip of his thumb. Created by Jordana Belch Summer 2011 28 Expert Group 4 Write the expert group text. Be sure to include text boxes below each paragraph for sketching. Temperature Why People measure temperature to tell the amount of hot or cold in a substance. We measure the environmental temperature so that we know how to dress when we go outside. Finding the temperature that water freezes made it possible for scientists to create freezers so that we can enjoy cold beverages all year long. Units and Tools The U.S. customary measurement of temperature is degrees Fahrenheit or ˚F. The metric system uses degrees Celsius or ˚C. But measurements are measured using a thermometer. Created by Jordana Belch Summer 2011 29 Who Scientists use specific temperatures to melt different solids or vaporize liquids. Doctors know the exact temperature the body should be kept at and use internal body temperature to help identify why someone is sick. Chefs must heat foods to a certain degree in order for it to be cooked correctly. Health codes also stipulate that foods such as chicken be heated to 160˚F in order to be considered cooked. Interesting Facts On the Fahrenheit scale 32˚ is freezing and 212˚ is boiling. On the Celsius scale 0˚ is freezing and 100˚ is boiling. The hottest recorded day in Washing to was 1180 F, on Aug 5, 1961 at Ice Harbor Dam. The coldest recorded temperature in Washington was -48˚F on Dec. 30, 1968 in Winthrop. Created by Jordana Belch Summer 2011 30 Expert Group 5 Write the expert group text. Be sure to include text boxes below each paragraph for sketching. Time Why Time shows the passage of time so that humans can measure how long it takes to do something. People use time to ensure that schedules room smoothly so that people do not have to wait for events to happen. Units and Tools Most countries of the world use the same time system. For measuring large amounts of time people use a year that consists of 365 days. Scientist figured out how many days were in a year by measuring how long it takes for the earth to travel all the way around the sun. This year is partitioned into 12 months which are then divided into days. People organize years, months and days on a calendar. When people measure the unit of time for one day they rely on clocks or watches that tell them the hours, minutes, and seconds of the day. There are 24 hours in every day and 60 minutes in every hour. Created by Jordana Belch Summer 2011 31 Who Chefs use time to measure how long they need to cook, broil, or bake whatever they are making. A bus driver must use time to ensure that the bus arrives at every designated bus stop at precisely the correct time. Biologists must time their different experiments to measure how fast reactions for changes occur. Doctors too use time to help the understand when a sickness began. Interesting Facts There are 365.26 days in a year. For this reason ever fourth year February has 29 days instead of 28.The Aztec sacred calendar has 260 days and is called the Nahuatl. Big Ben in England is known all over the world as one of the most accurate clock towers ever built. Created by Jordana Belch Summer 2011 32 Mind Map Adapt to fit process grid if needed Why Units and Tools Measurement Who Interesting Facts Created by Jordana Belch Summer 2011 33 Listen and Sketch: How tall, how short, how far away? - Adler Poetry Frame Select an additional poetry frame to support your unit. This will become an option for team tasks and for individual closure activities. Measurement by Jordana Belch Measurement here, measurement there Measurement, measurement everywhere Skillful measurement estimating precisely Massive measurement adjusting heavily Long measurement assessing accurately And magnificent measurement weighing carefully Measurement in the kitchen Measurement at the grocery store Measurement during doctors’ visits And measurement around the classroom Measurement here, measurement there Measurement, measurement everywhere Measurement! Measurement! Measurement! Created by Jordana Belch Summer 2011 34 Home/School Connection 1 Capacity is the maximum amount that can be contained by an object. With your child go to the kitchen and show them what tools you use to measure the capacity of an object. Then draw a picture these different kitchen measurement tools. Capacidad es el máximo cantidad que un objeto puede contener. Con su hijo/a vaya a la cosina y muestra las heramientas para medidir que usan en la cosina. Después hagan un dibujo de las diferents heramientas que tienen para medir la capacidad. ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ Parent Signature____________________________________________________________Date___________ Student Signature___________________________________________________________Date___________ Created by Jordana Belch Summer 2011 35 Home/School Connection 2 Weight is how heavy something is. With your child compare the weight of different items in your house. Then write down at least 5 of these comparisons. El peso de algo es que pesado es ese objeto. Con su hijo/a compara el peso de diferentes objetos de la casa. Después escribe por lo menos 5 de estas comparaciones. ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ Parent Signature____________________________________________________________Date___________ Student Signature___________________________________________________________Date___________ Created by Jordana Belch Summer 2011 36 Home/School Connection 3 Think about different items you buy at the grocery store. Which items do you have to weigh to find out how much they cost? Why is the weight of an item so important when you buy it at the store. Write down some of you ideas. Piensa en diferentes cosas que compran en el supermercado. ¿Cuál de estas cosas tienes que pesar para saber cuanto cuestan? ¿Por qué es importante el peso de cado cosa que compras en la tienda? Escribe algunas de tus ideas. ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ Parent Signature____________________________________________________________Date___________ Student Signature___________________________________________________________Date___________ Created by Jordana Belch Summer 2011 37 Home/School Connection 4 With a family member brainstorm different reasons that we use measurement on a daily basis. How do different professions use measurement? Con alguien de tu familia haga una lista de diferentes razones por lo cual utilizamos medidas diariamente. ¿Cómo se usan medidas en diferentes profesiones? ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ Parent Signature____________________________________________________________Date___________ Student Signature___________________________________________________________Date___________ Created by Jordana Belch Summer 2011 38 Home/School Connection 5 Time is use to measure the passing of time. Tonight record how much time you spend doing each activity of your evening. Tiempo es la medida del paso del tiempo. Esta noche anota cuanto tiempo pasan haciendo cada actividad de la tarde. ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ Parent Signature____________________________________________________________Date___________ Student Signature___________________________________________________________Date___________ Created by Jordana Belch Summer 2011 39 Home/School Connection 6 People have been measuring things since the world began. Why do you think it is important that we have standard units of measurement? What would happen if these did not exist? Las personas han medido cosas desde el principio el mundo. ¿Por qué es tan importante tener unidades estándares de medidas? ¿Qué pasaría si no existieran? ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ Parent Signature____________________________________________________________Date___________ Student Signature___________________________________________________________Date___________ Created by Jordana Belch Summer 2011 40 Team Tasks List the team tasks teams will need to create. Remember to include both note-taking and application tasks. Timeline Pictorial input on Capacity Pictorial input the Gallon Man Narrative input – retell Exploration report Found poetry Team SPC Poetry frame Team process grid Cooperative strip paragraph Measurement stations Created by Jordana Belch Summer 2011 41 Closure and Evaluation—Beyond Team Tasks Understand that… there should be independent student accountability after team tasks there should be student choice in final projects final projects can be a combination of individual and team projects rubrics are an important piece in the assessment process Example Rubric: Score Criteria 4 In addition to exhibiting level 3 performance, the student’s responses demonstrate in-depth inferences and applications that go beyond what was taught in class. 3 The student’s responses demonstrate no major errors or omissions regarding any of the information and/or processes. (THAT WERE EXPLICITLY TAUGHT) 2 The student’s responses indicate major errors or omissions regarding the more complex ideas and processes; however they do not indicate major errors or omissions relative to the simpler details and processes. 1 The student provides responses that indicate a distinct lack of understanding of the knowledge. However, with help, the student demonstrates partial understanding of some of the knowledge For each closure and evaluation activity, task, project, etc, think about the following: How am I going to provide feedback in a way that students know what they are learning and how well they are progressing and can explain what they need to do to get better? How am I incorporating my knowledge of my students’ different learning styles? How am I embedding metacognition as part of the process, the assessment, and the evaluation? Created by Jordana Belch Summer 2011 42 Expository, Persuasive, or Narrative Closure and Evaluation—Beyond Team Tasks In each unit every student should produce an expository, persuasive, or narrative piece of writing, a piece of poetry, and each student should have a chance to complete a project in which they have some choice. Expository, Persuasive, or Narrative Prompt or Topic: Measurement in Real life Create an expository, persuasive, or narrative piece of writing that explains how people use measurement in their daily lives. Create a Rubric for the Essay or Narrative here: Score Criteria 4 3 2 1 Includes a real life example of all five forms of measurement studied Explains the units of measure used for different measurement systems for each type of measurement Uses logical, insightful, and higher-level vocabulary Includes a real life example of 4 forms of measurement studied Explains the units of measure used for different measurement systems for 4 types of measurement Uses logical grade level vocabulary for the most part Includes a real life example of 3 forms of measurement studied Explains the units of measure used for different measurement systems for 3 types of measurement Uses vocabulary from the unit Includes a real life example of 2 or less forms of measurement studied Explains the units of measure used for different measurement systems for 2 or less types of measurement Does not use vocabulary from the unit Created by Jordana Belch Summer 2011 43 Poetry Closure and Evaluation—Beyond Team Tasks In each unit every student should produce an expository, persuasive, or narrative piece of writing, a piece of poetry, and each student should have a chance to complete a project in which they have some choice. Poetry Frame: Measurement here, measurement there Create a Rubric for the Poetry Frame here: Score Criteria 4 Follows the pattern of the poem Makes sense Uses logical, insightful, and higher-level verbs, adjectives, adverbs and prepositional phrases 3 Follows the pattern of the poem Makes sense Uses logical verbs, adjectives, adverbs and prepositional phrases effectively for the most part 2 Mostly follows the pattern of the poem Makes sense some of the time Uses verbs, adjectives, adverbs and prepositional phrases metaphors 1 Does not follow the pattern of the poem, is not complete Does not make sense Does not use verbs, adjectives, adverbs and prepositional phrases Created by Jordana Belch Summer 2011 44 Created by Jordana Belch Summer 2011 45 http://i.zdnet.com/blogs/ arrowhead.jpg 46 Burj Khalifa, formerly known as Burj Dubai prior to its inauguration, is a skyscraper in Dubai, United Arab Emirates, and the tallest man‐made structure ever built, at 828 m. In North America both Canada and Mexico us the metric system while the United States still uses US standard units of measure. Place Stamp Here ________________________________ ________________________________ ________________________________ It is important to remember that when measuring capacity a gallon is bigger that a quart. A quart is larger than a pint and a pint is larger than a cup. Plac Stam Her _______________________________ _______________________________ _______________________________ ________________________________ _______________________________ ________________________________ _______________________________ Place Stamp Here ________________________________ ________________________________ A polar bear weighs 7701,400 pounds while a male grizzly bear weighs 350-800 pounds. Place Stamp Here _______________________________ _______________________________ ________________________________ _______________________________ ________________________________ _______________________________ ________________________________ _______________________________ 47 Capacity 1 Gallon = 4 Quarts The maximum amount that can be contained by an object Adult male elephants can reach weights of six to eight tons! That’s between 12,000 and 14,000 pounds! 1 Quart = 2 Pints 1 Pint = 2 Cups A "light year" is a measure of distance, not time. It is defined as the distance light travels in one year. Light moves at a velocity of about 300,000 kilometres each second, so in one year, it travels about 9,500,000,000,000 kilometres. The Gallon Man The highest recorded temperature in the United States was 134˚ F in Death Valley, California in 1913. There are 24 hours in a day and 1,440 minutes in a day. How many seconds are in a day? 48 49 Mathematician Notebook Name_____________________________________________________ Mathematician Notebook Name_____________________________________________________ Mathematician Notebook Name_____________________________________________________ Mathematician Notebook Name_____________________________________________________ 50 Materials to Create and Gather Collect Picture File Cards and place in a PowerPoint with four pictures on each slide. (This can be done very easily by creating a Photo Album.) Observation Charts (grouped by theme) Input Charts Chants Expert Groups and Mind Maps Clunkers and Link text Exploration Report Free Exploration, Open Sort, Closed Sort Create covers for student portfolios and packets Student Portfolio Cover Poetry Packet Cover Create Narrative Input Make illustrations, find pictures for, or take pictures of the illustrations in the book Create a narrative background Make conversation/dialogue bubbles Big Book Create in a big book format (use Excel version or create your own) Add pictures Create cover Materials to Prep Prep Cognitive Content Dictionary with headings Print picture file cards and laminate Print Awards on colored paper-do not use colored ink Assemble and laminate observation charts Prep Inquiry Chart Assemble and laminate Big Book Write up all chants Trace Big Picture Input Trace Pictorial/Comparative Input Prep Smart Cards for Input Review Prep T-Graph for Social Skills on yellow paper Prep Team Points Chart on yellow paper Laminate Narrative Input Chart background Print Laminate Narrative Input Chart Print or prep Narrative Input Chart dialogue bubbles for retell Prep Narrative Input Chart word cards for retell Prep found poetry text Prep Story Map Prep Sentence Patterning Chart Prep Process Grid Prep Here, There Poetry Frame or Flip Chant 51 Prep Other Poetry Frame Write topic sentence for Cooperative Strip paragraph Create Jeopardy Review Game Create Exam 52
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