Unit Lesson Plan Unit Conversions Guess and Check: Length, Weight, Volume, and Temperature 5th grade Unit Krista Roop November 18th, 2009 Teaching Elementary and Middle School Math Main Assumption: Students are already familiar with converting within units (meters to centimeters, inches to feet, grams to kilograms, ounces to pounds, etcetera). Day 1: Purpose/Objectives – To understand how to appropriately guess and measure length, volume, and weight of rectangular shapes. Viriginia SOL – The student will estimate and then use actual measuring devices with metric and U.S. Customary units to measure a. length – inches, feet, yards, centimeters, and meters; b. liquid volume – cups, pints, quarts, gallons, and liters; and c. weight/mass – ounces, pounds, grams, and kilograms. Materials/Resources/Manipulatives – Worksheet (attached), rulers, scales, calculators, binder, book, backpack, a pack of note cards, 1 gallon milk jug Procedure – a. Worksheet (attached) – 30 minutes Students get into groups of three to work on the worksheet. First they are to estimate their measures and write them down in the space provided. Next, students will use a ruler and the scale in order to find the lengths and weights in inches and ounces/pounds. Students will compare the lengths and weights of the different objects in groups. Length will be taken in respect to the longest side of the object. b. Problem posed for class discussion – 15 minutes How many gallons would a 25 ft x 75 ft swimming pool hold? (Teacher has a one gallon milk jug in the room and a picture of the swimming pool.) Students discuss the idea of volume verse weight as started on the worksheet. An actual answer does not need to be reached, but the logic and reasoning behind their process should be solid. c. The “Fill it up” project is assigned. ( Due one week from day assigned). Explanation and Rubric attached. Assessments – a. Informal listening to group discussion b. Completion of worksheet c. “Fill it up” project Day 2: Purpose/Objectives – To appropriately estimate and measure length, volume, and weight of an object of any shape. To compare volume and weight and understand the difference between the two. Virginia SOL’s – 4.10 To students will a. estimate and measure weight/mass, using actual measuring devices, and describe the results in U.S. Customary/metric units as appropriate, including ounces, pounds, grams, and kilograms; b. identify equivalent measurements between units within the U.S. Customary system (ounces and pounds) and between units within the metric system (grams and kilograms); and c. estimate the conversion of ounces and grams and pounds and kilograms, using approximate comparisons (1 ounce is about 28 grams, or 1 gram is about the weight of a paper clip; 1 kilogram is a little more than 2 pounds). Materials/Resources/Manipulatives – rulers, scales, water (water fountain), calculators, tennis ball, baseball, basketball, volleyball, football, coffee mugs Procedures – a. Worksheet (continued from Day 1, on the back; see attached) – 30 minutes Students get into groups of three to work on the worksheet. First they are to estimate their measures and write them down in the space provided. Next, students will use a ruler and the scale in order to find the lengths and weights in inches and ounces/pounds. Students will compare the lengths and weights of the different objects in groups. Length will be taken in respect to the longest side of the object. b. Class discussion about volume verse weight continued and expanded on from Day 1 – 10 minutes c. Students will journal about relationships between length, weight, and volume, how they are related and what the units mean. With time left, students will work on “Fill it up” project and ask any questions. Assessments – a. Informal assessment listening to class discussion b. Turning in worksheet for completion c. Journal completion Day 3: Purpose/Objectives – To be able to estimate and measure in various units. Students will be able to convert ounces to grams and pounds to kilograms. Virginia SOL’s – 4.10 Students will d. estimate and measure weight/mass, using actual measuring devices, and describe the results in U.S. Customary/metric units as appropriate, including ounces, pounds, grams, and kilograms; e. identify equivalent measurements between units within the U.S. Customary system (ounces and pounds) and between units within the metric system (grams and kilograms); and f. estimate the conversion of ounces and grams and pounds and kilograms, using approximate comparisons (1 ounce is about 28 grams, or 1 gram is about the weight of a paper clip; 1 kilogram is a little more than 2 pounds). Materials/Resources/Manipulatives – Calculator, scale, ruler, binder, book, backpack, note cards, tennis ball, baseball, basketball, volleyball, football, clear plastic cup (ounce cups), water from fountain. Procedure – a. Introduction into the importance of conversions using an example on money. – 5 minutes Students will go to http://money.howstuffworks.com/currency.htm , read the page and watch the video. We will discuss as a class how conversations between units are just as important as money conversions between countries. b. Students will take previous two days worksheets with measures on it to complete the assignment. – 30 minutes Students will be shown that one paper clip is about one gram and that it takes about 28 paper clips to make up one ounce. (Show students a plastic ounce cup filled with water verse a paper clip to introduce how much larger an ounce is than a gram). Students will also be shown that a pinky nail is about a centimeter and that from the knuckle to the end of your thumb is about an inch. Students will discuss the difference between these units and why there are 2.54 centimeters in every inch and 28 grams in an ounce. Students are to fill in the rest of the blanks by making appropriate conversions on the worksheet. c. Students will be shown the website http://www.unitconversion.org/ and practice using it in order to help make conversions quickly. d. Students will make note cards depicting the different conversions of length, volume, and weight/mass by drawing a picture and for example stating the length in inches and centimeters and writing what one inch equals. Example of note card: Length 1 inch = 2.54 cm, 72 x 2.54 = 182.88 cm = 72 inches = 182.88 centimeters Assessments – a. Informal assessment by listening to class discussion during group work b. Worksheet handed in for correctness c. Examples that the students put on their note cards d. Homework on conversions ( unit scramble; see below) UNIT SCRAMBLE Directions 1. Cut the squares apart. 2. Match equivalent expressions or sentences. 3. You should get a new 4x4 square. 100 grams 400 inches 5.3 ounces 100 cm 10 cm 20 kg 8.8 lbs P 600 inches 6 cm 60 kg 50 kg 10 inches 35 lbs 1.6 ounces 5 lbs 28 grams 1016 cm 0 inches 4 grams 500 inches L 13 kg .5 meters 900 inches O 5,000 kg 150 grams 15 inches .5 kg 16 kg 45 grams 800 cm K H 10 ounces 2 lbs 1.5 kg 40 cm 3 feet N 50 feet 32 ounces 110 lbs 4 inches 36 J G D 500 grams 39 inch 150 ounces 1 lb 12 inches .9 lbs M F 25.4 cm 15 cm 200 inches I 30 grams .03 kg 1 foot 1 ounce E 1500 grams C 2 kg 4 kg 10 grams 3 cm B .4 meters 3.5 ounces A 9 lbs 44 lbs 1 cm 8 meters Day 4: Purpose/Objectives – Students will be able to estimate and measure the temperature of objects used on a daily basis including the weather and body temperature. Students will also be able to express their findings and make comparisons. Virginia SOL’s – 5.11 The student will choose an appropriate measuring device and unit of measure to solve problems involving measurement of e) temperature – Celsius and Fahrenheit units. (Problems will include estimating the conversion of Celsius and Fahrenheit units relative to familiar situations (water freezes at 0o C and 32o F, water boils at 100o C and 212o F, normal body temperature is about 37o C and 98.6o F). Materials/Resources/Manipulatives – thermometer, worksheet (attached), ice, water from fountain, warm water Procedure – a. Students will turn in homework. b. Frosty the Snowman is read. – 5 minutes Questions are posed for discussion: - What was Frosty’s temperature when he was all put together? - Why did Frosty melt? - How warm do you think it was outside when Frosty melted? c. Students will get into groups of 4 and each group will predict in Fahrenheit the temperature of ice, water from fountain, warm water, body temperature, inside, and outside temperature. – 2 minutes d. Half of the groups will start with measuring the inside and outside temperature using the thermometer while the other groups work on the remaining measures. The groups will switch after 5 minutes. – 10 minutes e. Class discussion will involve each group explaining their findings and how they varied from their predictions. – 10 minutes f. Students will visit the following two websites. – 5 minutes http://www.essortment.com/all/temperatureconv_rczy.htm has a great story about why we use different units in different problems, countries, or situations. http://www.usatoday.com/weather/wtempcf.htm has a great picture comparing Fahrenheit and Celsius in the same picture. g. Students will go back and convert their Fahrenheit measures to Celsius. – 10 minutes h. The Frosty questions will be posed again to see if the answers have changed from their original guesses. – 3 minutes Assessment – a. Completion of worksheet b. Informal assessment in class discussion Day 5: Purpose/Objective – Students will be assessed on their understanding of length, volume, weight, and temperature. Virginia SOL’s – 5.11 The student will choose an approximate unit of measure to solve problems involving measurement of length, volume, weight, and temperature. Materials/Resources/Manipulatives – test (attached) Procedure – a. Students will take attached test – 30 minutes b. Students will spend remainder of time (15 minutes) working on their “Fill it up” project which is due the next day. Assessment – a. Test b. “Fill it up” project which is due the next day. (If time after test and people are ready to present their 2 minute presentation we will start to get some done). Description and Rubric “Fill it Up” Project Choose any object that can be filled. Weigh the object 5 times, each time filling it with something different (examples: water, paper clips). Be sure to count how many items fill the object. Compare weights and give explanations for why they are different. Express each weight using 2 different units. Create a poster expressing your findings. Present a 2-3 presentation showing your poster. RUBRIC Appropriate filled object 5 items used to fill the object Number of items it took to fill container shown Each weight expressed using 2 units Explanation of findings Creative Poster 2-3 minute presentation TOTAL 10 10 10 20 15 10 10 85 Estimation and Find It: Unit Conversions Worksheet Length (the longest side) Object Calculator Binder Backpack Pack of note cards Guess Inches Centimeters How many centimeters are in one inch? ____________________ Weight Object Guess Pounds and Ounces Kilograms and grams Calculator Binder Backpack Pack of note cards How many grams are in an ounce? ______________________ Volume If each of these objects were hollow and filled with water, which one would hold the most water? What is the difference between weight and volume? Estimation and Find It: Unit Conversions Worksheet Continues Length (the longest side) Object Golf ball Tennis ball Baseball Basketball Volleyball Football Coffee Mug Guess Inches Centimeters How many centimeters are in one inch? ____________________ Weight Object Guess Pounds and Ounces Kilograms and grams Golf ball Tennis ball Baseball Basketball Volleyball Football Coffee Mug How many grams are in an ounce? ______________________ Volume Given an ounce of water as a reference, how much water would fill the coffee mug? Estimate: ________ Ounces: ________ Grams: ________ List the objects used on both sides of this worksheet in order from lightest to heaviest. Is this the same order as from smallest to largest volume? Why or why not? Guess and Check: Conversion from Fahrenheit to Celsius Worksheet Make a guess for the temperature of the following objects. After you make a guess, measure them with the thermometer in degrees Fahrenheit. Object Ice Water from Fountain Warm Water Body Temperature Inside Temperature Outside Temperature oF Guess Water Freezes at: ________ oF Water Boils at: ________ oF and and __________ oC __________ oC How are Fahrenheit and Celsius related? Visit http://www.essortment.com/all/temperatureconv_rczy.htm What are two reasons for learning unit conversions? 1. 2. Visit http://www.usatoday.com/weather/wtempcf.htm What is the conversion to go from Fahrenheit to Celsius? What is the conversion to go from Celsius to Fahrenheit? Now, go back and convert your measures of Fahrenheit to Celsius. oC Temperature, Length, Weight, and Volume: Unit Conversion Test 1. Number pictures (circle which number) from coldest to hottest and match their temperature in Fahrenheit. The convert to Celsius. Options: 65oF, 18oF, 104oF 1, 2, 3, 1, 2, 3 1, 2, 3 _____ oF _____ oC _____ oF _____ oC _____ oF _____ oC 2. Number pictures from shortest to longest in length. Match their lengths in cm and convert to inches. Options: 42 cm, 1280 cm, 9 cm 1, 2, 3, 1, 2, 3 1, 2, 3 _____ cm _____ in _____ cm _____ in _____ cm _____ in 3. Number pictures from lightest to heaviest in weight. Match in pounds and then convert to kilograms. Options: 1 pound, .2 pounds, 4000 pounds 1, 2, 3, 1, 2, 3 1, 2, 3 ____ lbs ____ kg ____ lbs ____ kg ____ lbs ____ kg Temperature, Length, Weight, and Volume: Unit Conversion Test Page 2 4. What is the difference between weight and volume? 5. Conversions, fill in the blanks! 1 oC = ______ oF 2 inches = _______ cm 3 ounces = ______ grams 4 kilograms = _______ lbs Conversion chart: 1 inch = 2.54 cm 1 ounce = 28 grams 0oC = 32oF 1 kg = 2.2 pounds Extra Credit: What is the weight (within 5 ounces) and the volume (within 5 jellybeans) of the jar of jellybeans?