Lafayette Parish School System Curriculum Map Mathematics: Grade 4 Unit 5: Customary and Metric Measurement (LCC Unit 6—Measurement Portion) Time frame: 23 School Days EduSoft Testing Date: February 29, 2012 Guided Questions 1. 2. 3. 4. 5. 6. 7. 8. Can students show mastery of basic division facts through 72 12? Can students recognize, select, and apply appropriate measurement concepts and tools to real-life measurement situations? Can students measure length to the nearest quarter-inch, millimeter, half-inch, and centimeter? Can students connect volume to cubes? Can students find the perimeter of rectangular and irregular shapes? Can students find the area of regular and irregular shapes? Can students use one and two-step unit conversions within the same system to solve real-life problems? Can students relate common standard units with their metric counterpart, (i.e. quarts and liters, inches and centimeters, yards and meters, pounds and kilograms, miles and kilometers, etc.)? 9. Can students demonstrate an intuitive sense of measurement by making ballpark conversions between the U.S. and Metric Systems—a liter is a little more than a quart, it takes a little more than 2 centimeters to make an inch, etc. 10. Can students do elapsed time problems to the hour and half-hour? Vocabulary List The list of vocabulary words is for vocabulary development throughout the year, not for isolated memorization or testing. attribute, area, capacity, centimeter, conversion, cubic units, cubic inch, dozen, fluid ounce, gram, inch, kilogram, kilometer, liter, mass, measure, meter, metric, milliliter, millimeter, ounce, pound, perimeter, quarter-inch, ton, unit, volume, weight, yard, half-inch Please ensure that your students are comfortable with the Ti-15 calculator. Calculator use will be permitted on the Assess2Know tests for units 5, 6, and 7, as well as parts of the LEAP test. LPSS Comprehensive Curriculum 2011-2012 Grade 4: Mathematics Unit 5 38 Lafayette Parish School System Curriculum Map Mathematics: Grade 4 Unit 5: Customary and Metric Measurement Grade Level Expectations TLW be able to: Instructional Notes/Strategies Basic Facts: Multiplication through 9 x 12—continuing daily until mastery 4. Know all basic facts for demonstrate orally and in writing multiplication and division fluency with basic division facts E through 12 x 12 and [72 through 72 12 12], and recognize factors of composite numbers less than 50 [as well as multiples of natural numbers for 2 through 12] (N1) (N6) (N7) See instructional notes/resources in Unit 1, 2, and 3 Resources ☛See resources list from Unit 1, 2, ad 3 ☛LCC Activities—LCC Unit 5: Activity 11 (Professor Know-It-All) Bloom—Knowledge Focus 5-1: Time (3 days) 23. E Set up, solve, and interpret elapsed time problems [to the nearest hour and ½ hour] (M2) (M5) Bloom—Application tell time to the nearest hour, halfhour and quarter hour using a standard and digital clock and watch determine whether a given time is a.m. or p.m. use a calendar to determine how much time (days, weeks, months, and years) has elapsed use a number line, T-Chart or other concrete or pictorial representation to demonstrate understanding of elapsed time Practice, Practice, Practice Have students recall the number of seconds in a minute; minutes in an hour; hours in a day; days in a week, month, and year; weeks in a month; months in a year, etc. Ensure that your students can tell time before attempting elapsed time Have students keep a log of activities for a week and then determine the daily and total elapsed time On page one of the mini-book, have students create a story problem such as: "Tara woke up at 7:15 a.m. Monday morning. Fifteen minutes went by before she actually got out of bed. What time did Tara get out of bed?" Have the student draw a clock with the starting time and a picture to go along with the story. Then have them switch books. Child #2 solves the problem and then draws the clock with the new time. Child #2 LPSS Comprehensive Curriculum 2011-2012 Grade 4: Mathematics Unit 5 ☛Harcourt—5.1 (96-97) Quick Review (98) See Tables of Measures H42 5.4 (104-106) 5.2 (98-101) ☛Project Lift—Focus 1 ☛Linking Math—A6 ☛LCC Activities— See the Activity Alignment Document for ideas ☛LEAP Tutoring Guide—(123-129, 67B78B) ☛Technology Connection— http://www.harcourtschool.com/activity/telling_t ime_gr4/ http://www.harcourtschool.com/activity/elab200 4/gr4/15.html 39 Lafayette Parish School System Curriculum Map Mathematics: Grade 4 Unit 5: Customary and Metric Measurement Grade Level Expectations TLW be able to: Instructional Notes/Strategies Resources then creates a story problem on the next page and gives to another child to solve. Focus 5-2: Linear Measurement, Area, and Perimeter (5 Days) Help students internalize the measurement strand by having them participate in a variety of hands-on activities. Additionally, you may want to concentrate on the customary units of measurement before you teach the metric system. Regardless of the approach you take, please make the appropriate connections between the metric and customary system of measurement ( i.e. a liter is a little bit bigger than a quart; it takes a little more than 2 ½ centimeters to make an inch, etc.). You are encouraged to integrate the measurement GLEs as you teach. One way to do this is to teach compatible GLEs, such as GLEs 20, 24, and 22. GLE 20 deals with measuring to the nearest ¼-inch and millimeter. It is a natural fit for GLE 24 (Recognize the attributes to be measured in a real-life situation) and GLE 22 (Select and use the appropriate standard units of measure, abbreviations, and tools…). Activate Prior Knowledge/Build Background on linear measurement 1 1 measure to the nearest inch, ½ inch, and centimeter discuss situations in which length is used to measure identify the tools used to measure customary and metric linear measurement Review common benchmarks - width of your pinky finger is about a centimeter; the width of your index finger and your middle finger is about an inch, the length from end of your fist to elbow is about a foot, length from your nose to the end of your hand (fingers extended) is about a yard, etc. ☛Harcourt—24.1 (518-521) ☛Project Lift—Focus 6 ☛Linking Math—None Suggested ☛LCC Activities—See the Activity alignment Document for ideas Situations in which you may have to measure distance—height of the door, how much material is needed to make a scarf, etc. Please complete the reviews as quickly as possible. LPSS Comprehensive Curriculum 2011-2012 Grade 4: Mathematics Unit 5 40 Lafayette Parish School System Curriculum Map Mathematics: Grade 4 Unit 5: Customary and Metric Measurement Grade Level Expectations 20 I Measure length to the nearest quarter-inch and mm (M2)re (M1) TLW be able to: Instructional Notes/Strategies identify linear units of measure within the customary and metric systems recall or demonstrate how many inches are in a foot and yard (using manipulatives) recall or demonstrate how many centimeters (prefix ―cent‖ means 100) in a meter and kilometer recall how many meters in a kilometer Tools used to measure length (rulers, measuring tapes, yardsticks) and the proper way to use them (start at 0 rather than 1) estimate the length to the nearest Remind students to start at zero to measure correctly quarter-inch and millimeter read and measure length to the nearest ¼ inch Bloom—Application use the abbreviations for inch and millimeter identify the appropriate linear unit for measuring various items ***LEAP assessment guide says go to ½ inch**** Remind students that all measurement answers have labels (inch, foot, centimeter, meter, etc.) and if a measurement unit is not given, the answer must include the word ―units‖ Give students practice measuring reading a ruler when an object’s beginning isn’t at the zero mark Have students note the relationship between inch, ½ inch, and ¼ inch Have students note the relationship between millimeter, centimeter, and meter Relate linear units of measure with their metric counterpart and make ballpark conversions between them— a kilometer is about ½ mile; a meter is a little longer than a yard; it takes about 2 centimeters to equal one inch; etc (From 3rd grade; GLE 27) Resources ☛LEAP Tutoring Guide—Pages 102-108 ☛Technology— http://www.bgfl.org/bgfl/custom/resources_ftp/cl ient_ftp/ks2/maths/measures/index.htm http://www.linkslearning.org/Kids/1_Math/2_Ill ustrated_Lessons/2_Estimation_of_Length/index .html ☛Harcourt—24.2 (522-525) [Exclude 1/8 inch or don’t make a big deal of students having difficulty measuring to 1/8 of an inch] 25.1 (540-543) ☛Project Lift—Focus 26 ☛Linking Math— A31 ☛LCC Activities—See the Activity Alignment Document for ideas ☛LEAP Tutoring Guide—None ☛Technology— http://www.funbrain.com/cgibin/meas.cgi?A1=s&A2=0&A3=2&COBR=2 http://www.harcourtschool.com/activity/length_ strength3/ http://harcourtschool.com/activity/length_streng th1_centi/ LPSS Comprehensive Curriculum 2011-2012 Grade 4: Mathematics Unit 5 41 Lafayette Parish School System Curriculum Map Mathematics: Grade 4 Unit 5: Customary and Metric Measurement Grade Level Expectations 25. I Use estimates and measurements to calculate perimeter and area of rectangular objects (including squares) in U.S. (including square feet) and metric units (M3) Bloom—Application TLW be able to: estimate and then measure the perimeter of polygons using customary and metric units identify situations that require calculating perimeter identify the appropriate linear unit for measuring perimeter based on situations Instructional Notes/Strategies Resources Concentrate on perimeter first and then take up area. ☛Harcourt—28.1 to 28.2 (612-617) [Exclude suggestion to multiply to find perimeter until students absolutely know the difference between perimeter and area] One way to help students remember perimeter is to remind them that perimeter contains the word ―rim‖ which indicates the outside of a figure. Help them see that the ―t‖ in perimeter resembles the addition sign which indicates that one adds the sides to find the perimeter. Have students estimate and find the perimeter of a geometric shape (especially a rectangular object) by measuring the sides of the figure. Have students find the perimeter when given the lengths of the sides in a labeled illustration or word problem, and by using grid paper ☛Project Lift—Focus 8 ☛Linking Math— A32, A50, A29 ☛LCC Activities—See the Activity Alignment Document for ideas ☛LEAP Tutoring Guide—Pages109-115 ☛Technology— http://www.bgfl.org/bgfl/custom/resources_ftp/c lient_ftp/ks2/maths/perimeter_and_area/index.ht ml Situations in which one would measure perimeter—your head to find out what size cap to purchase [Circumference will be discussed in later grades.], a picture to buy a picture frame (GLE 24) 25 I Use estimates and measurements to calculate perimeter and area of rectangular objects (including squares) in U.S. (including square feet) and metric units (M3) Remind students that area is the number of define area and explain why the answer is given in square units estimate and then measure the area of rectangular figures using customary and metric units square units (square foot, square inch, square centimeter, square meter, etc.) it takes to cover something Use the words such as square meter and NOT 2 m Perimeter/Area Songs Bloom—Application ☛Harcourt— 29.1-29.3 (628-635) ☛Project Lift—Focus10 ☛Linking Math—A49, A50 ☛LCC Activities—Activity 5 (Area vs. Perimeter) ☛LEAP Tutoring Guide—Pages 109-115 http://www.teachertube.com/viewVideo.php?ti tle=Perimeter_and_Area&video_id=17665 LPSS Comprehensive Curriculum 2011-2012 Grade 4: Mathematics Unit 5 42 Lafayette Parish School System Curriculum Map Mathematics: Grade 4 Unit 5: Customary and Metric Measurement Grade Level Expectations TLW be able to: Instructional Notes/Strategies identify the appropriate square unit for measuring area Have students use multiplication to find the area of rectangles when given lengths of one side (square) or two sides (other rectangles) in a labeled illustration or word problem Situations in which one would measure area—laying carpet in the living room, purchasing a tablecloth for the dining room table, etc. (GLE 24) 26. Estimate the area of an irregular shape drawn on a unit grid (M3) estimate and then find the area of irregular figures by counting whole or partial square units on a unit grid Review finding the area of a regular shaped object by counting whole or partial square units Resources ☛Technology— http://www.funbrain.com/poly/index.html http://www.mathplayground.com/area_perimeter. html http://harcourtschool.com/activity/tile_the_floor/ ☛Harcourt— See correlations at GLE 25 ☛Project Lift—Focus 10 ☛Linking Math—A49, A51 Bloom—Comprehension *** Add all whole units first, then combine partials to make wholes.*** ☛LCC Activities—See the Activity Alignment Document for ideas ☛LEAP Tutoring Guide—Pages 109-115 ☛Technology— http://www.shodor.org/interactivate/activities/Sh apeExplorer/ http://www.mathplayground.com/area_perimeter. html LPSS Comprehensive Curriculum 2011-2012 Grade 4: Mathematics Unit 5 43 Lafayette Parish School System Curriculum Map Mathematics: Grade 4 Unit 5: Customary and Metric Measurement Grade Level Expectations TLW be able to: Instructional Notes/Strategies Resources Focus 5-3: Understanding Volume, Capacity, Weight/Mass, and Temperature (6 Days) 21. Describe the concept of volume, and measure volume using cubic in. and cubic cm. and capacity using fl. oz. and ml (M2) (M3) Bloom—Application use models of standard cubic units to measure volume Volume is the amount of space a threedimensional object occupies. determine the volume of a figure by counting models of cubic units Fill a rectangular prism with cubes to explore the concept of volume identify and discuss situations in which one may need to measure volume Determine volume by counting the number of cubes used and label the answer as cubic inch and cubic centimeter Situations in which one would measure volume—to find out how many boxes you can carry in a car trunk, the size of a box needed to store a hat, etc. (GLE 24) ☛Harcourt—24.4 (528-529) 25.3 (546-547) 30.3 (650-653) ☛Project Lift—Focus 27, 29 ☛Linking Math— C16 ☛LCC Activities—See the Activity Alignment Document for ideas ☛LEAP Tutoring Guide—None ☛Technology— http://www.mrnussbaum.com/soda/index.html http://www.shodor.org/interactivate/activities/Sur faceAreaAndVolume/ http://www.figurethis.org/challenges/c03/challen ge.htm http://www.besd61.k12.il.us/webquests/4th%20Gr ade/measurement/msmnt.htm LPSS Comprehensive Curriculum 2011-2012 Grade 4: Mathematics Unit 5 44 Lafayette Parish School System Curriculum Map Mathematics: Grade 4 Unit 5: Customary and Metric Measurement Grade Level Expectations 21 Describe the concept of volume, and measure volume using cubic in. and cubic cm. and capacity using fl. oz. and ml (M2) (M3) Bloom—Application TLW be able to: Instructional Notes/Strategies find the capacity of containers using fluid ounces and then milliliters and liters; also relate cups, pints, and quarts relate customary units of capacity with the liter and milliliter (a liter is a little more than a quart) convert between milliliters and liters identify and discuss situations in which one may need to measure capacity identify the appropriate capacity unit for measuring various items identify that a liter is a little more than a quart Background—Capacity is the amount of liquid or gas that a three-dimensional object can hold. A fluid ounce measures capacity, and a regular ounce measures weight. A fluid ounce weighs a little bit more than a dry ounce. It takes about 30 drops from an eye dropper to make 1 ounce and about 10 drops to make a milliliter Select the appropriate units of measure (fluid ounce, cup, pint, quart, gallon, milliliter, liter), abbreviations (fl. oz., L) and tools (beakers, spoons, measuring cup, quart container, gallon containers, etc.) to measure capacity (GLE 22) Situations in which one would measure capacity—determine the amount of water in a swimming pool; the correct amount of milk to use in a cake recipe; etc. (GLE 24) Place customary units (fluid ounce, cup, pint, Resources ☛Harcourt—24.4 (528-529) 25.3 (546-547) ☛Project Lift—Focus 18 ☛Linking Math—A57, B17 ☛LCC Activities— Activity 20: What’s My Capacity? Activity 21: What’s My Volume? Activity 22: Can iT Be True? ☛LEAP Tutoring Guide—Pages116-122 ☛Technology— http://www.netrover.com/~kingskid/jugs/jugs.ht ml http://pbskids.org/cyberchase/games/hardproble ms/ http://pbskids.org/cyberchase/games/liquidvolu me/liquidvolume.html quart, gallon) and metric units (milliliters, liters) in order from smallest to largest and vice versa (From 3rd grade; GLE 26) Relate capacity units of measure with their metric counterpart and make ballpark conversions between them—a liter is a little bit bigger than a quart; an ounce is more than a milliliter; a fluid ounce is about 3 times more than a milliliter etc. (From 3rd grade; GLE 27) LPSS Comprehensive Curriculum 2011-2012 Grade 4: Mathematics Unit 5 45 Lafayette Parish School System Curriculum Map Mathematics: Grade 4 Unit 5: Customary and Metric Measurement Grade Level Expectations Activate Prior Knowledge/Build Background on weight/mass TLW be able to: Instructional Notes/Strategies measure the weight of objects in customary units and then the mass of objects in metric units Choose the most reasonable measurement Select appropriate units of mass relate kilograms and pounds using approximate reference point relate benchmark measures to standard units for weight and mass identify and discuss real life situations that require finding the weight/mass of an object identify the appropriate weight/mass unit for measuring various items Background—Mass is the amount of matter in an object and it is measured in metric units. Weight is a measure of how heavy an object is and it is measured in customary units. Do not make a big distinction between weight and mass with 4th grade students. The abbreviation for pound (lb) comes from the word Libra, which means pound or weight Have students estimate before they perform the actual weighing Demonstrate how to properly read and calibrate various types of scales—kitchen, bathroom, and balance Common benchmarks for measuring weight/mass such as— a loaf of bread = 1 pound; a slice of bread = 1 ounce; a small car = 1 ton; a shoelace = 1 gram; 2 loaves of bread = about 1 kilogram (a kilogram is a little more than 2 pounds) Resources ☛Harcourt—24.4 (528-529) 25.4 (548-549) ☛Project Lift—Focus 13 ☛Linking Math—A58, B18 ☛LCC Activities—See the Activity Alignment Document for ideas ☛LEAP Tutoring Guide—Pages116-122 ☛Technology— http://www.bbc.co.uk/schools/ks1bitesize/numer acy/measurements/index.shtml http://harcourtschool.com/activity/heavier/ http://harcourtschool.com/activity/elab2004/gr4/ 18.html http://www.linkslearning.org/Kids/1_Math/2_Ill ustrated_Lessons/6_Weight_and_Capacity/inde x.html Appropriate unit (ounce, pound, ton, gram, kilogram ), abbreviation (oz., lb, g, kg, etc.), and tool (kitchen scale, bathroom scale, balance scale, etc.) to measure weight/mass Situations in which you might want to measure weight/mass—to buy fruits, determine how much an object weighs (GLE 24) LPSS Comprehensive Curriculum 2011-2012 Grade 4: Mathematics Unit 5 46 Lafayette Parish School System Curriculum Map Mathematics: Grade 4 Unit 5: Customary and Metric Measurement Grade Level Expectations TLW be able to: Instructional Notes/Strategies Resources Order units within same system (ounce, pound, ton) and (gram, kilogram) Tell what weight/mass units you would use to measure a White Rhinoceros, bag of potatoes, paper clip, etc. Activate Prior Knowledge/Build Background on temperature Common benchmarks, such as normal room use a thermometer to measure temperature determine the degree of change in temperature identify common temperature benchmark readings for degrees Fahrenheit identify common temperature benchmark readings for degrees Celsius identify and discuss real life situations that require measuring temperature temperature (68 degrees Fahrenheit, 20 degrees Celsius), normal body temperature (98.6 degrees Fahrenheit and 37 degrees Celsius); freezing point of water (32 degrees Fahrenheit, 0 degrees Celsius), boiling points of water (212 degrees Fahrenheit, 100 degrees Celsius), etc. Situations in which you might want to measure temperature—how hot the oven should be to cook a pie, deciding what to wear, etc. (GLE 24) Select the appropriate abbreviation (C and F) and tool (thermometer) to measure temperature (GLE 22) Use models (including pictorial) of real thermometers to review the proper way to read Celsius and Fahrenheit thermometers to the nearest degree above and below zero LPSS Comprehensive Curriculum 2011-2012 Grade 4: Mathematics Unit 5 ☛Harcourt—20.1-20.2 (418-423) ☛Project Lift—None ☛Linking Math—None ☛LCC Activities—See the Activity Alignment Document for ideas ☛LEAP Tutoring Guide—Pages 123-127 ☛Technology— http://www.softschools.com/measurement/tempe rature/games/thermometer/ http://www.ixl.com/math/practice/grade-3-reada-thermometer http://www.mathsisfun.com/measure/thermomet er.html http://www.figurethis.org/challenges/c67/challe nge.htm http://funphysics.jpl.nasa.gov/adventures/temper ature-game.html 47 Lafayette Parish School System Curriculum Map Mathematics: Grade 4 Unit 5: Customary and Metric Measurement Grade Level Expectations TLW be able to: Instructional Notes/Strategies Focus 5-4: Using Appropriate Standard Units, Unit Conversions, and Attributes to be Measured (5 Days) recognize and use abbreviations (cm, Take a little time to ensure that students have 22 Select and use the ft., yd., mile, m, km, fl. oz., cup, pt., mastered this GLE even if you have appropriate standard units E qt., gal., l, ml, oz., lb., g, kg ) of incorporated it with other GLEs. of measure, abbreviations, measurement units correctly and tools to measure length and perimeter (i.e., in., cm, select and use the appropriate ft., yd., mile, m, km), area standard units for determining length (i.e., square inch, square (including perimeter), area, capacity, foot, square centimeter), and weight/mass capacity (i.e., fl. oz., cup, pt., select and use appropriate tools to qt., gal., l, ml), weight/mass measure length, perimeter, area, (i.e., oz., lb., g, kg, ton), and capacity, weight/mass, and volume. volume (i.e., cubic cm, cubic in.) (M2), (M1) Resources ☛Harcourt— 24.1 (518-521) Constructed Response—PA 75 (House Addition ☛Project Lift—Focus 6, 8, 13, 18 ☛Linking Math— A32, A57, A58, B12, B18, C16 ☛LCC Activities—See the Activity Alignment Document for ideas ☛LEAP Tutoring Guide—Pages 102-122 ☛Technology— http://harcourtschool.com/activity/which_tool/ http://www.allentownsd.org/EETT/ppt/appropri ateunitsofmeasure.ppt Bloom—Application http://www.beaconlearningcenter.com/WebLess ons/MeasuringTools/default.htm http://www.quia.com/rr/78611.html http://www.besd61.k12.il.us/webquests/4th%20 Grade/measurement/msmnt.htm 24 E Recognize the attributes to be measured in a real-life situation (M2) (M5) Bloom—Comprehension apply measurement concepts and solve real-life problems involving length, (including perimeter, area) volume, capacity, and weight/mass identify what attributes are measured in real-life Attributes measured in real-life (temperature, length/distance, capacity, volume, area, perimeter, weight/mass) Situations in which you may need to measure length, perimeter, capacity, weight/mass, and volume—see note near appropriate GLE LPSS Comprehensive Curriculum 2011-2012 Grade 4: Mathematics Unit 5 ☛Harcourt—24.6 (532-533) ☛Project Lift—None ☛Linking Math— B12 ☛LCC Activities—See the Activity Alignment Document for ideas 48 Lafayette Parish School System Curriculum Map Mathematics: Grade 4 Unit 5: Customary and Metric Measurement Grade Level Expectations TLW be able to: Instructional Notes/Strategies Resources ☛LEAP Tutoring Guide—None identify and discuss situations in which you may want to measure length, perimeter, capacity, weight/mass, and volume ☛Technology— http://www.beaconlearningcenter.com/WebLess ons/BeAScientist/default.htm http://oncampus.richmond.edu/academics/educa tion/projects/webunits/measurement/ http://www.figurethis.org/challenges/c15/challe nge.htm http://www.bbc.co.uk/schools/ks2bitesize/maths/ shape_space/measures/play.shtml http://www.bbc.co.uk/education/mathsfile/shock wave/games/animal.html 27. E Use unit conversions within the same system to solve real-life problems (e.g., 60 sec. = 1 min., 12 objects = 1 dozen, 12 in. = 1 ft., 100 cm = 1 m, 1 pt. = 2 cups) (M4) (N2) (M5) Bloom— Application calculate one and two-step conversions between different units of length, capacity, and weight/mass within the same system, either customary or metric LEAP HINT: Provide practice with two-step conversions—pints to gallons, inches to yards, centimeters to kilometers, etc Use real-life problem solving context to convert units of measure within the same system Recall or discover how many _____are in a ____ ► seconds/minute ► inches/foot ► centimeters/meter ► meters/kilometer ► centimeters/kilometer ► grams /kilogram ► cups/pint ► objects/dozen LPSS Comprehensive Curriculum 2011-2012 Grade 4: Mathematics Unit 5 ☛Harcourt—24.3 (526-527) [For students still struggling with division, remind them to use the “T-chart”.] 25.2 (544-545) [You may want to make your own worksheet rather than use these pages] ☛Project Lift—Focus 6, 13, 18 ☛Linking Math—A57, C12, C13 ☛LCC Activities— Activity 1: Test Those Measurements Activity 11: Customary and Metric Measurement ☛LEAP Tutoring Guide—None 49 Lafayette Parish School System Curriculum Map Mathematics: Grade 4 Unit 5: Customary and Metric Measurement Grade Level Expectations TLW be able to: Instructional Notes/Strategies Resources ☛Technology— http://harcourtschool.com/activity/con_mat h/g04c24.html http://harcourtschool.com/activity/con_mat h/g03c25.html http://www.mrnussbaum.com/soda/index.ht ml http://www.quia.com/cb/98094.html Focus 5-5: Deductive Reasoning (3 Days) 38 E Solve problems involving simple deductive reasoning (D-3) Bloom-- Synthesis employ deductive reasoning to make conjectures, solve simple logic problems, and judge the reasonableness of answers Deductive reasoning is the process by which a person makes conclusions based on previously known facts. ☛Harcourt—26.6 (576-577) Thinker’s Corner (285, 575) One example: Erica, Tiffany, Jeremy, and Quincy were in a bicycle race. Erica finished after Jeremy, but before Quincy. Tiffany finished first. What order did the children finish the race? ☛Linking Math—None Another example: If a red ball and a blue ball are in a bag, and each color ball is drawn onehalf of the time, we come to believe that each color ball has a 50% probability of being drawn at any one time. ☛Technology— http://www.linkslearning.org/Kids/1_Math/ 2_Illustrated_Lessons/7_Tangrams/index.ht ml LPSS Comprehensive Curriculum 2011-2012 Grade 4: Mathematics Unit 5 ☛Project Lift—Focus20 ☛LCC Activities—See the Activity Alignment Document for ideas ☛LEAP Tutoring Guide—Pages 101B-109B http://www.mathplayground.com/logicgam es.html 50 ACTIVITIES FOR YOUR CONSIDERATION Activity 1: Test Those Measurements (GLEs: 14, 15, 16, 20, 22, 24, 25, 27) Materials List: chart paper and markers, objects that have a traditional measurement, customary and metric rulers, catalogs, paper, pencil Have the class brainstorm (view literacy strategy descriptions) traditional measurements that are accepted standards: 8 ½ x 11-inch paper, 3 x 5 index cards, 3 ½ -inch floppy disk, etc. Ask students to check those measurements and record the results. Using rulers marked in ¼ inch, students should record their measurements to the nearest ¼ inch. Repeat the measurement activities using a ruler marked in mm. Explore what other traditional measurements are considered standard: letter-size envelope or folder and legal-size envelope or folder, 8 x 10 photograph, 5x7 photograph, etc. As an extension to this activity, students create story chains (view literacy strategy descriptions) using some of the customary measurements listed in the brainstorming activity, or they may come up with another object that is made in a traditional measurement that they find in a catalog. Model the exercise, and then students create their own problems. Example: Student 1-Angie was planning a party, and she was going to decorate the tables with tablecloths. Student 2-When she went to the store she didn’t know what size tablecloth to get. Student 3-She went back home and measured her table. Student 4-The table was 4 ft. by 5 ft. The tablecloth had to be at least 4 ft. x 5 ft. to work. Students together (after looking up the dimensions of tablecloths)-The tablecloth that she bought was 50 inches by 70 inches. Would it fit? Students write: 4 ft. = X in., 5 ft. = X in. 50 in. x 70 in. ≥ N (Size of the table) Answer: Yes because 4 ft. = 48 in. and 5 ft. = 60 in. and 50 in. x 70 in. > 40 in. x 60 Activity 5: Area vs. Perimeter (GLEs: 19, 25, 40) Materials List: square tiles, grid paper, pencil Provide square tiles and grid paper for students. Give them an area measurement and have them create all the possible quadrilaterals with that area out of the square tiles. Have them record their findings on the grid paper. After they have found all the possible quadrilaterals with that area, have them record the dimensions and the perimeter of each shape. Have them discover if the perimeters are the same when the areas are the same. Have them repeat this activity but this time all the quadrilaterals must have the same perimeter. Have them discover if the areas of the quadrilaterals remain the same when the perimeter is the same. Example: If the area given is 12 square units, the possible dimensions for a quadrilateral with that area are: 12x1, 1x12, 2x6, 6x2, 3x4, 4x3. Activity 11: Professor Know-It-All (GLEs: 4, 10, 13, 19) * From Unit 5 Materials List: number cards, dry erase marker, whiteboard Play a modified version of professor know-it-all (view literacy strategy descriptions) Put students in groups of four. Have the group choose one person in their group to be the ―professor.‖ Each group will be given a number card. The other members of the group will give clues to their ―professor.‖ The Professor has three chances to guess the number. If he cannot guess the number by that time, a professor from another group may try. If they are correct, that team steals the point and then continues with their group’s turn. For example: If the quotient, The Professor (group member 1) had to guess, was 45, Group member 2 could say, ―It’s a multiple of 5. Group member 3 could say, ―It is greater than 40 but less than 50.‖ Group member 4 could say, ―Nine is a one of the factors.‖ Professor know-it-all would write his answer on the board. LPSS Comprehensive Curriculum 2011-2012 Grade 4: Mathematics Unit 5 51 Activity 11: Customary and Metric Measurements (GLEs: 24, 27) Materials List: Internet or encyclopedias, Customary and Metric Measurements BLM, paper, crayons, pencil, chart paper, learning log notebook Have students create a vocabulary self-awareness (view literacy strategy descriptions) chart using Metric Measurements BLM, about measurement. Do not give students definitions at this time. Ask students to rate their understanding of each word with either a ―+‖ (understands well), a ―√‖ (limited understanding), or a ―-―(don’t know). Over the course of this unit, students will return to this chart and add new information to it. The goal is to replace all √ and – with +. Because they will be returning often to this chart, they will have multiple opportunities to practice and extend their knowledge. Students devise measurement questions like the following, research the answers, and provide customary and metric measurements (linear, weight, capacity or volume measurements). Example: How tall is the Eiffel Tower? How long does an anaconda grow? How much does a baby rhinoceros weigh? Display the results of the activity with pictures and measurements in a classroom measurement chart, from shortest to longest, or lightest to heaviest. Have students add to their Measurement Table in their math learning logs (view literacy strategy descriptions) information about volume, weight, and capacity. LPSS Comprehensive Curriculum 2011-2012 Grade 4: Mathematics Unit 5 52 Activity 20: What’s My Capacity? (GLEs: 21, 27) Materials List: variety of containers, paper, pencil Provide students with several irregularly shaped empty containers that hold a specified number of fluid ounces or milliliters. Provide students with standard measures of capacity (liquid cold medicine cup marked off in ounces, eyedropper marked off in milliliters, cup, pint, quart, liter, and gallon). Working in pairs, students will discover the capacity of each of the containers and label each one appropriately. Have students create a table showing unit conversions for capacity. (2 cups = 1 pint, etc.) Activity 21: What’s My Volume? (GLEs: 15, 18, 20, 21) Materials List: variety of empty boxes, centimeter or inch cubes, paper, pencil Have students bring in several different shoeboxes, cereal boxes, etc. Working in pairs, students will discover the volume of these containers by stacking centimeter cubes or inch cubes inside the boxes. After student pairs have calculated the volume by using the cubes, then have them measure the length, width, and height of the boxes to the nearest quarter inch or millimeter. Using the measurements obtained, students will write a number sentence that describes the volume of the boxes. Activity 22: Can It Be True? (GLEs: 18, 19, 21, 25) Materials List: paper, pencil Students working in cooperative groups will create number sentences that relate to finding perimeter, area, or volume of a set of objects. The number sentences can be either true or false. The challenge is for other student groups to determine if the number sentences are correct. Example: Group 1--- A box is 12 inches long and 8 inches wide. To find its perimeter we would add 12 inches and 8 inches. A group member writes on the board 12 + 8 = P. Another Group responds---That is a false number sentence. To find the perimeter of that box you would add 12 in. + 8 in. + 12 in. + 8 in. A group member writes 12 + 8 +12 + 8 = P. Another Group responds---Group 1’s number sentence is false. To find the perimeter of that box you could multiply 12 by 2 and 8 by 2, and then add that together. (2 Lengths + 2 Widths) A group member writes 2(12) + 2(8) = P. Both teams would receive a point. The team with the most points after all number sentences read is the LPSS Comprehensive Curriculum 2011-2012 Grade 4: Mathematics Unit 5 53
© Copyright 2026 Paperzz