A ll rig © ht Ze s no re se rv e d. A ll rig © ht Ze s no re se rv e d. Discovering Measurement Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity A Ten Lesson Unit Inside this Unit Lesson 1: Non-standard Inch Measure- 5-6 Lesson 2: Non-standard Linear Measurements 7-8 Lesson 3: Feet to Yards Conversions 9-10 Lesson 4: Standard Units of Measure— inches, feet, yards 11-12 Lesson 5: Area and Perimeter 13-14 Lesson 6: Weight 15-16 Lesson 7: 17-18 Understand that measurement is the comparison of an attribute of an object or situation with a unit that has the same attribute, using non-standard and standard units. Understand differences between non-standard and standard units of measurement for length and weight in the U.S. system. Understand how measurement of money value, length, capacity/volume and time are organized in the U.S. system rig © ht Ze s no re se rv e Lesson 8: Understand and use a procedure to measure length, weight, capacity, time, temperature or money value with non-standard and standard units Understand how to estimate in measurement situations 19-20 Teaching Tips Time Lesson 9: 21-22 Allow time for the students to figure out the problem. It is much more meaningful for the students to discover the problem on their own than for the teacher to tell them the answer. 23 Once one student answers the question, thinking will stop for all the others. Slow down and let students apply the knowledge that they have learned to the questions. Some students will do this rapidly; others will need time to process. A ll Comparisons Review and Evaluation Final Evaluations: At the last class, please take the time to have students complete the final Club Evaluation Form so that Zeno can measure club effectiveness. Also, teachers please fill out the Curriculum Evaluation Form so that Zeno learns how to better serve you and the students in the future. Thank You Attributes, units and systems d. Understand and apply concepts and procedures for measurement. Procedures and estimation Volume/Capacity Lesson 10: Unit Standards for Grades Go through the lessons at your own pace. It is more important for the students to enjoy the spirit of discovery and inquiry than it is to get through all of the lessons. If students are enjoying an activity or game, try doing it again another day. The first time through a game or activity students are just trying to figure out the rules and what is expected. It is not until two or three times through an activity or game that students start to understand the concepts and to develop mathematical strategies. At the end of this unit are websites that can be used to enhance lessons or to further challenge students who complete their work quickly. Refer to the students as “mathematicians.” The title may give them confidence in their abilities and pride at being a member of the club. Most importantly, have fun! Remember that this is a math club, not a math class. Discovering Measurement Supply List for 16 students Activity Sheets: Books and Supplies: 1 How Big is a Foot? By Rolf Myller Parent Letter 1 Measuring Penny by Loreen Leedy Dog Biscuits Template 1 set of liquid capacity containers Penne Penny Example 1 Measurement Hunt Cotton Ball Activity Mr. Gallon Giant G Area and Perimeter Stopwatch Time cards scale 4 time dice 8 dot dice 8 scissors 16 clock dials 16 pencils 16 rulers 16 tape measures 100 pipe cleaners 400 cotton balls 500 links Replenishable Supplies: Games: 1 1 lb box of Barilla Mini Penne or similar sized pasta 1 roll of masking tape 1 package 9 x 12 yellow construction paper 1 package 9 x 12 orange construction paper 1 package 9 x 12 blue construction paper 1 package 9 x 12 white construction paper 1 package 12 x 8 white construction paper 3 1 1b. tubs of play clay 8 1.25 oz. bottles of glue 200+ vinyl coated paperclips How Tall Am I? by Jax, Ltd., Inc. A ll 2 1 stopwatch rig © ht Ze s no re se rv e Body Measurements d. Student Contract Club Evaluations: Return envelope for evaluations Student Club Evaluation form Teacher Curriculum Evaluation form Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 5 Lesson 1 Focus: Non-standard “inch” measurements Students will use non-standard units of measure to understand inches. Introductions and Behavior Contract Lesson Prep: Make copies of the Student Contract and Parent Letter. Welcome students, go over the Student Contract and then discuss what they currently know about measurement. Hand out the Pre-Math Club Student Evalua- member to send home the Parent Letter at the end of class. rig © ht Ze s no re se rv e Activity 1: Penne Penny d. tion sheet (copies are in the manila envelope in the back of the Teaching Manual), and ask students to answer the questions as best they can. Remind students that this is not a test, but rather a way for you to understand their thinking. When students have finished, collect the sheets and hold onto them until the last day of club. Re- Read the first half of the book Measuring Penny by Loreen Leedy, but stop at page 14 after Lisa measures how high Penny can jump. Ask students to keep track of the different units of measurement that Lisa uses. (The rest of the story is read in lesson six.) What are the different units of measure mentioned in the story? inches, dog biscuits, cotton swabs, and centimeters Mr. Jayson’s poster, on page 4, states “Measuring helps us to understand the world.” Is that true? How does it help us? In Measuring Penny, Penny’s nose is 1 inch long. What would you use inches to measure? Look for terms like, how high/height, how long/length, how wide/width. Take out a piece of pasta. How long do you think this pasta is? Pasta is close to an inch long. A ll Show students the Penne Penny Example. Students are going to draw Penny’s face, then glue 1 inch pasta pieces around the face perimeter. Each student will need white construction paper, a pencil, glue, and pasta. Once students are finished gluing their perimeter, have them count how many pastas they used to design the outline of Penny’s face and record it on the drawing. Remind them that a measurement always has two parts: a number and a unit. Create a chart on the board and record results as per the example below. Name Number Unit Troy 14 pastas Alicia 20 pastas Tony 28 pastas Materials: *Student Contract *Parent Letter Pre-Math Club Student Evaluation * Measuring Penny by Loreen Leedy *9 x 12 white construction paper *Penne pasta *White glue * Links *Pencils *Penne Penny Example ? Who drew the smallest Penny face? ? Who drew the largest Penny face? VOCABULARY PERIMETER: the measured distance around the outside of a closed figure. Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 6 Activity 2: Measuring with Play Clay Students will use links to learn how to accurately measure lengths. d. Give each student a small ball of play clay and a link. Have students roll out their ball so that it becomes a long cylinder or “worm,” and then flatten the material. The width of the flattened worm needs to be large enough to accommodate the imprint of a link. rig © ht Ze s no re se rv e Once they have flattened the worm, the students will place it horizontally in front of them. They can then take their link and starting at one end of the play clay make horizontal imprints of that link into their worm. (For accurate measurement, make sure that the imprint of one link touches the imprint of the next.) Then count the units (link imprints) to determine the worm’s measurement. Make a chart on the board and have each student record his or her worm measurement. Play clay Worm Name Number Unit Vince 6 links Tina 8 links A ll After students have measured and recorded one play clay worm, have them roll it back into a ball, switch balls with a partner at the table, create another long cylinder “worm,” and measure it with the link. Have partners compare measurements. Did partners each count the same number of imprints for the same play clay ball? Was it the same measurement as their own previous “worm”? NOTES: Materials: *Play clay * Links Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 7 Lesson 2 Focus: Non-Standard Linear Measurement Students will use a non-standard unit to explore linear measurement. Lesson Prep: Photocopy the Dog Biscuit Template and cut out the dog biscuit rectangles. Photocopy the Body Measurement sheet. Note: Students will need floor space to lie down while being measured. Activity 1: Penny’s Biscuits rig © ht Ze s no re se rv e d. Students will be measuring their partners using a dog biscuit and recording results. Review page 8 in Measuring Penny where Lisa measures dog tails using dog biscuits. Students will measure their partner’s height, arm length, leg length...etc. using one biscuit. Remind students to be accurate with their measurement by using their finger to mark the stop/start place of the biscuit rectangle, counting each biscuit move as they measure. This is similar to Lesson 1 when students imprinted a link right next to the previous imprint. Materials: *Measuring Penny by Loreen Leedy *Dog Biscuit template *Masking tape *Body Measurement Sheet Group students into pairs; give each student a Body Measurement Sheet and each pair a dog biscuit. As a class, work on one measurement at a time. For example, one student lies down and gets measured by his/her partner; that measurement is recorded in the appropriate space on the chart. Alternate turns. Height of body—Measure from heel to top of head. Arm length—Measure the top of the shoulder to the tip of the middle finger. Leg length—Measure from the hip to the heel. “Paw” width—Spread fingers wide and measure from pinky to thumb. A ll Standing long jump– Use masking tape to create the starting line. Students stand with toes behind the tape line and jump forward with both feet and freeze; partner measures from the tape line to the jumper’s heel. to Were any partners the same length in any of the body measurements? Who was the tallest? Who was the shortest? BODY MEASUREMENTS Number Unit of measure Body height Arm length Leg length Standing long jump “Paw” width VOCABULARY LENGTH– the longest dimension of an object. WIDTH– the measurement taken from side-toside. HEIGHT– the highest point; distance from bottom to the top. STANDARD— commonly accepted precise unit of measure. Example: inch. NON-STANDARD — unit of measure that is not precise. Example: dog biscuits or pasta piece. Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 8 Activity 2: How Big is a Foot? Read How Big is a Foot? by Rolf Myller. Ask the children if they have ever experienced any kind of measurement confusion. An example might be that they were given the wrong size clothes or maybe they have overheard a parent complain that something was the wrong size. Materials: *How Big is a Foot? by Rolf Myller Is this the same problem the carpenter had in the story? What should be done to make all our measurements consistent? rig © ht Ze s no re se rv e Why did we get several different numbers for our measurement? Number of students A ll Number of feet around person NOTES: d. Lie on the floor or have a student lie on the floor. Let each student count their steps as they walk around the person, like the king did to the queen in the story. Use the results to create a line chart on the board (see the example below). Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 9 Lesson 3 Focus: Standard Measure Inches to Feet to Yards Students will be learning that twelve inches equal one foot and three feet equal one yard. Materials: *Scissors *Pipe cleaners *Links Lesson Prep: Cut six pipe cleaners into 2 inch lengths. Cut 9 x 12 construction paper in half (use a variety of colors) to create pieces 9 x 6 in dimension. Photocopy the Measurement Hunt sheet. Make a sample “yard stick” by creating three 12 inch “feet” on a 9 x 12 piece of construction paper, cut out and tape together (see the sample on page 10). Who can show how long an inch is with their fingers? Who can show how long a foot is? How many inches are there in a foot? rig © ht Ze s no re se rv e d. Activity 1: Inches to Feet Teach the students the “Inch Worm” song. Then tell students to create their own inch worms by hooking 12 links together. Give each student 12 Links and 2 small cut strips of pipe cleaner. The pipe cleaners can be twisted and then bent on the first link to look like eyes. Sing the Inch Worm song together as students work. Inch Worm Song (To the tune of Ten Little Inch Worms.) Two little, four little, six little inch worms, Eight little, ten little, twelve little inch worms, A ll Twelve little inch worms make a big foot worm. Twelve inches equal a foot NOTES: “inch” worm Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 10 Activity 2: Making a “Yard Stick” What is a yard? Have you ever heard that term used with regard to measurement? How many feet are in a yard? 3 feet What would we measure using yards? sport fields, golf drives, fabric What sport has a field that is 100 yards long? football rig © ht Ze s no re se rv e d. Inform students that they are going to be making yard sticks. Give each student three 9 x 6 sheets of construction paper in the same color; students will trace their foot these pieces of paper, cut them out and tape them together as in your sample. The 9 x 6 size construction paper (cut previously) should fit the length of most students’ feet, but have several full sheets on hand for larger feet. Materials: *9 x 12 assorted colored construction paper *Scissors *Masking tape *Measurement Hunt Sheet Remind students to write their name and “yard stick” on it. Is your “yard stick” shorter than the teacher’s? Why or why not? “Yard Stick” Activity 3: Measurement Hunt Give each student a Measurement Hunt sheet. Students can take their “yard stick” and their link “inch/foot” worms to measure their heights and the dimensions of other items in the room. How long is the table? How wide is the doorway? ...etc. A ll Have students fill out the Measurement Hunt sheet as best they can, including such information as the object being measured, the number and the unit of measurement. Item Number Unit table 25 inches desk 3 yards pencil 9 inches Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 11 Lesson 4 Focus: Converting Standard Units of Measure: Using standard measurements and converting inches to feet and feet to yards. Lesson Prep: Photocopy the Body Measurement sheet. Mark with masking tape the 36th inch of every tape measure; students now have a standard yard measure. Cut ten pipe cleaners into 2 inch lengths. Activity 1: Measurement Practice Number Unit rig © ht Ze s no re se rv e Demonstrate to the students how an object can be measured and then labeled with more than one unit of measure, for example: body height can be inches or feet or a combination of both. Remind students to mark the end of a measurement with a finger to hold their place when moving a ruler or tape measure. d. Use the tape measures, rulers and new copies of the Body Measurement sheet to measure the same items the students measured with biscuits in Lesson 2, only this time students will use standard units of measurement (tape measures and rulers). Body Height Arm length 36 inches OR 3 feet 18 inches OR 1 foot, 6 inches feet Activity 2: Chain Game A ll Materials: *Tape measures *Masking tape *Rulers *Body Measurement Sheetss *Links *Dice *Pipe cleaners Place students into groups of four. Give each group a pile of Links, 2 dice and a few pipe cleaners. Taking turns, students will roll the dice, add the numbers together, and then chain links together totaling the sum of the numbers. At the end of four rounds, the person with the most link “inches” wins. After they have counted all their “inches,” students will now convert the chain measurement from inches to feet. Students will count the links on their chains in sets of twelve, twisting a pipe cleaner to every twelfth link. At the end, students should be able to articulate their own chain length: that their chain is, for example, 2 feet and 3 extra links or 2 “feet”, 3 “inches” in length. Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 12 Activity 3: Mother May I ? Reinforce the measurements of inches, feet and yards with the game Mother May I ? Materials: Choose a spot in the room or hall to be the start line and the finish line. Make the distances fairly close so as to shorten the duration of the game. Divide the class into groups of three or four and have them stand in a single file line (as if in a relay). d. The object of the game is to be the first team with all players across the finish line. rig © ht Ze s no re se rv e Traditionally in Mother May I? a child requests to move a certain way; in this game however, students simply request permission to move. Example: The first student in line would ask “Mother, may I move?” The “mother” would then respond with one of the examples on the right, or she/he can create some of his/her own. Once that student has moved, then move to the next line of students and have the first student in line ask “Mother, may I move?” (some of these may require some help from the teacher or other students ) You may move forward 1 yard— student takes 3 steps forward. You may move 12 inches forward 2 times—student takes 2 steps forward. You may move 6 inches backwards—student takes a half step backwards. You may move forward 2 yards— student takes 6 steps forward. You may move forward 24 inches—student takes 2 steps forward. A ll Once the first person in line has reached the finish line the next person can start participating by asking “Mother, may I move?” NOTES: Mother May I Examples: Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 13 Lesson 5 Focus: Area and Perimeter Students will use non-standard and standard units to explore perimeter, and non-standard units to explore area. Lesson Prep: Photocopy the Area and Perimeter and Cotton Ball Activity sheets. Materials: *Tape measures *Area and Perimeter Sheet rig © ht Ze s no re se rv e d. Activity 1: Perimeter Ask students if they know what the term “perimeter” means. Explain that perimeter means the distance around the edge of a figure. In this lesson, the figure is the room, a section of the hallway or wherever this activity would work best. Choose two activities below or create your own; give each student an Area and Perimeter sheet for use in recording and calculating perimeter. Perimeter measurement #1—line students up along one wall. Have them spread out so that their finger tips touch and the students on each end can touch a corner of the wall. Record how many students fill one wall and then move students to the next wall. After all walls are measured, record the amounts; have the students add the numbers to determine the perimeter. Room perimeter = ? standing students. A ll Perimeter measurement # 2—have students lie down by a wall one person at a time, stretching out along the wall head to toe. Record how many students fill one wall and then move students to the next wall. After all walls are measured, once again record results and have students add all results to calculate the perimeter. Room perimeter = ? student body lengths Perimeter measurement #3—have students use the tape measures now to measure the perimeter of the room. After figuring out the perimeter in yards, see if they can try to convert the yards to feet by having the students count by threes. VOCABULARY PERIMETER: the distance around the outside of a closed figure. AREA: measurement of the space inside a closed figure. DISTANCE: how far apart objects are from each other. Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 14 Activity 2: Area and Perimeter Using cotton balls to represent area and links to represent perimeter, students will get experience in differentiating area and perimeter. What is area? The measurement of the space inside a closed figure. Show the students a few examples of how to create link perimeters and cotton ball areas. Link 20 links, create a perimeter shape, and then fill the figure with cotton balls. Label your example. Materials: *Cotton balls *Links *Cotton Ball Activity Sheet Example: Perimeter = 20 links and Area = 16 cotton balls. d. Helpful Hint: Have students remove cotton balls from the area one at a time to prevent double counting. rig © ht Ze s no re se rv e Pass out the following supplies to each student: Cotton Ball Activity sheet, 20 Link ‘n Learn Links and 20 cotton balls. Have the students connect their links to create a figure according to the sheet and then fill figure with cotton balls. Record some of their results on the board. Does everyone get the same area measurement? What perimeter shapes created the biggest/smallest area? Can we use a different object for figuring out area? Cotton Ball Activity A ll Perimeter Area 10 Links ___Cotton balls 16 Links ___Cotton balls 8 Links ___Cotton balls 12 Links ___Cotton balls EXTENSION: The Area and Perimeter sheet can be used by students to explore the area and perimeter of other objects around the room such as a desk, book, paper...etc. For larger areas, students can find another unit of measure to replace the cotton balls or you could group students to maximize the amount of cotton balls. VOCABULARY PERIMETER: the distance around the outside of a closed figure. AREA: measurement of the space inside a closed figure. DISTANCE: how far apart objects are from each other. Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 15 Lesson 6 Focus: Introduction of weight Students will compare weight to determine the heaviest object and will also compare different shapes to see if a change of shape changes weight. Activity 1: Measuring Penny Read the second half of Measuring Penny starting on page 15 (the “see saw” page). Penny weighs 16 pounds. Ask the students if they can think of other objects that weigh 16 pounds. Materials: *Measuring Penny by Loreen Leedy *Paper *Scale Show the students the scale. rig © ht Ze s no re se rv e d. Could Penny be weighed on this scale? Discuss the weight markings on the scale and show them that this scale can only weigh items that are five pounds or less. Activity 2: Paper Weight Discuss ounces. Does anyone know what an ounce is? Is it more than a pound, or less than a pound? What can weigh an ounce? Weigh some paper on the scale; show the students the difference between 1 and 2 ounces. (Four flat sheets of copy paper is about 1 ounce and 8 sheets would be 2 ounces.) Explain that even little differences can change the price of mailing a letter. A letter weighing 1 ounce or less will cost $.42 to mail, but a 2 ounce letter will cost $.59. A ll Point out 16 ounces on the scale and tell the students that 16 ounces is the same weight as 1 pound (just as 12 inches is the same as 1 foot). Show students a container of play clay from the club box. Have the students take turns holding the play clay container and ask them how much they think it weighs. Weigh it and see if the weight matches the label on the tub. Choose a few books from the room and have students compare the weights using their arms and body as a balance. Then weigh books on the scale to test if students could guess which book was the heaviest. Ask students to think of other things in the room or their backpacks that could be compared and weighed. What is the next standard weight after a pound? Ton TEACHER OPTION FOR NEXT LESSON: Bring in lemonade mix or food coloring. If you choose to make lemonade, remember to bring drinking cups. Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 16 Activity 3: Play Clay Penny Weight Can differently shaped objects of the same mass and from the same material weigh the same amount? Give each student a golf ball sized amount of play clay and let them play with it while waiting their turn to use the scale. Call one student at a time and help him/her weigh the play clay, making sure each student has 3 ounces. (The club box is equipped with 48 ounces of play clay or 3 ounces each for 16 students. If you have more or fewer students, adjust accordingly.) rig © ht Ze s no re se rv e d. Once the students have their 3 ounces they can create a play clay Penny. After they have created their Penny, students in turn will weigh the figure. After each Penny is weighed, have each student go back to his/her seat, create a different figure using all of their play clay ball, then come back to the scale and reweigh. Ask students to predict if the second shape they create will weigh more, less or the same as the first. Did the second play clay figure weigh the same as their first (Penny)? Why or why not? Can students think of other examples in which something can be different sizes and shapes yet still have the same weight? A tall dog and a short dog could still weigh the same. Four crumpled pieces of paper will still weigh an ounce. Can one thing look lighter, but actually be heavier? Discuss the variety of answers. Ask students which weighs more: a pound of feathers or a pound of beans? NOTES: A ll Materials: *Play clay *Scale Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 17 Lesson 7 Focus: Volume Students will practice converting different volume amounts. Lesson Prep: You can make a Mr. Gallon in advance, but you will need to make one in front of the students as well so that the children can follow your example as you fold and cut out the cups, pints and quarts. This is a timeconsuming activity, but very popular. Activity 1: Mr. Gallon rig © ht Ze s no re se rv e d. Give each student a 12 x 18 sheet of white and a 9 x 12 sheet each of yellow, orange and blue paper. Review page 18 in Measuring Penny by Loreen Leedy as a starter for discussing volume. Show the Mr. Gallon sheet or your model and explain that they will explore the measuring tools (cups, pints, quarts and gallon) used in the U.S. customary system for liquid measure. Materials: *Measuring Penny by Loren Leedy *12 x 18 white construction paper *9 x 12 yellow, orange and blue construction paper *Mr. Gallon sheet *Scissors *Masking tape Have you ever heard these measurement words before and in what context? Examples: a gallon of gas, a cup of water, a quart of milk, a pint of ice cream. Making Mr. Gallon: Take the yellow paper and fold it in half, then in half again three more times. When the paper is opened, there will be 16 squares. Have the students write the word CUP on each square and then cut out. Repeat the procedure with pints and quarts, folding three times for pints and two times for quarts. Write the appropriate label and cut out the rectangles. Tape Mr. Gallon together as shown at right, and then draw the face with pencils . Review conversions and have students write the conversions below the mouth of Mr. Gallon: A ll 2 cups = 1 pint 2 pints = 1 quart 4 quarts = 1 gallon 2 quarts = 1/2 gallon Why should we memorize these conversions? Example: You want to make lemonade and the directions are for a 2 quart container but you only have a gallon container. How can you be precise with the recipe directions when you do not have the right measuring containers? You’ll need to convert cups to quarts or pints to quarts in some cases. Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 18 Activity 2: Filling a Gallon Divide the class in half; one half will draw the Giant G in Activity 3 while the other half does the following activity with you. (Alternatively, students can choose an activity listed in the box on the right.) Use water and fill the cups to make a pint, then fill the pints to make a quart and then the quarts to make a gallon. Let students take turns filling the cup, pint and quart containers to make a gallon of water. Make lemonade at this point if you wish, and then switch groups. Materials: *9 x 12 white construction paper *Capacity containers *Giant G sheet rig © ht Ze s no re se rv e Activity 3: Giant G d. ADDITIONAL Reinforce the capacity conversions learned in the Mr. Gallon activity. Give the students a sheet of 9 x12 white construction paper. Show students the Giant G sheet and let the children copy it to their paper. Teach this mnemonic for gallon conversions: Two CUPS make a PINT and two PINTS make a QUART, but you’ll never get a GALLON unless you add four QUARTS. NOTES: A ll If there is time, have students make up their own memory rhymes. ACTIVITIES *How Tall Am I? by Jax, Ltd., Inc. *Play clay shapes and weight *Chain game Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 19 Lesson 8 Focus: Time Materials: *Clocks *Time cards Practice setting the correct time on a clock when given different time values. Lesson Prep: Photocopy the Time Cards and cut apart. Activity 1: “Miss Fox, Miss Fox, What Time Is It?” To play “Miss Fox, Miss Fox, what time is it?” the teacher stands at the front of the room and the students stand at the back of the room with their clocks. rig © ht Ze s no re se rv e d. Students ask in unison, “Miss Fox (or Mr. Fox), what time is it?” and the teacher calls out a time. Students need to set their clocks to the given time. Have the students show their clock by turning the clock face towards the front of the room; if they position the clock hands correctly, they can move forward two steps. For those that set their clock to the wrong time, briefly explain where the hour hand and minute hand should be. Students with incorrect answers do not move forward. The first student(s) that reaches you wins. If setting time is easy for most students, call out more complex times such as 12:45, 2:15, 4:50...etc. I have 1:00. Who has 2:30? Activity 2: Passing Time I have 2:30. Who has 12:00? Model how to read the time cards and how to set the clock. You may need to review times that are 15 minutes past the hour — 1:15, 2:15, 3:15 and so on. I have 12:00. Who has 11:30? A ll Give each student two time cards and a clock. To start the game, determine which student has the “I have 1:00” time card and approach him/her saying, “Excuse me, do you have the time?” That student must silently read the time card and set the clock to the time displayed next to the words “I have” on their time card, (1:00.) Then that student stands up and shows to the group his/her clock that is set to 1:00; she/he then reads the whole time card out loud. The student with the time card that matches the new time goes next. Time Cards I have 11:30. Who has 11:00? I have 11:00. Who has 2:00? I have 2:00. Who has 12:30 I have 12:30. Who has 9:00? Remind students to flip the time card they have read upside down so they can concentrate better on listening for the second time to be read. I have 9:00. Who has 1:30? Continue the game until the cycle returns to the beginning time, 1:00. I have 1:30. Who has 3:00? I have 3:00. Who has 8:00? I have 8:00. Who has 6:30? I have 6:30 Who has 4:00? Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 20 Activity 3: Time Dice rig © ht Ze s no re se rv e Activity 4: Simon Says, “Show me the time.” d. Divide the class in half and instruct each group to sit in a circle. Give each student a clock and each circle an hour die and a minute die. Students should take turns rolling the dice. Once the dice lands, the students need to set their clock to the time rolled. Students will use their clocks to practice their time-setting and listening skills. Start the game with all students standing. Tell students that you will be calling out times for them to set on the clocks. However, students will need to sit down if they show you a time when you did not say, “Simon says,” first or if the time they show on the clock is not accurate. Times to call out: 9:15, 9:45, 7:11, 5:55, 12:00, 10:45, 11:11...etc. NOTES: A ll Call out easier or more difficult times depending on your students’ practice needs. Materials: *Clocks *Time dice Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 21 Lesson 9 Focus: Comparisons Students play games to test measurement knowledge. Materials: *Stopwatch Sheets *Stopwatch *Pencils *Clocks *Time dice *How Tall Am I? by Jax Ltd. Lesson Prep: Photocopy the Stopwatch sheet. Activity 1: Second Hand Fun d. Students will explore seconds as a measurement of time. Group students in pairs; give each group a pencil and a Stopwatch sheet. The teacher will start the stopwatch and one student of each pair will do the activity while his/her partner counts how many sit ups, jumping jacks, hops ...etc. their partner does during the allotted time. The counting partner will record the results on the Stopwatch sheet. Switch roles. rig © ht Ze s no re se rv e Have students do the timed activities more than once to provide an opportunity at bettering their time. ? How many sit-ups can you do in 30 seconds? ? How many jumping jacks can you do in 30 seconds? ? How many times can you touch your toes and stand straight again in 1 minute? ? How many times can you hop on one foot in 30 seconds? Make a bar graph on the board using the activity sheet results from every pair. Activity 2: Simon Says, “Show me the Measurement.” Simon Says is a short review to test conversion knowledge. HELPFUL HINT For these activities put students into groups of four and create stations for the students to rotate through. Stations: How Tall Am I? Game Suggestions for Simon Says Commands— “Simon says, show me with your fingers …” Show Me the Measurement Mrs. Fox, What Time is It? (Lesson 8 Activity 1) How many pints are in a quart? How many cups are in a quart? How many quarts are in a gallon? How many pints are in a gallon? Time Dice (Lesson 8, activity 3) How many quarts are in a half gallon? How many pounds is 16 ounces? How many feet is 12 inches? How many hours is 60 minutes? How many feet are in a yard? How many minutes is 60 seconds? A ll Example: Simon says, “Show me with your fingers how many cups are in a pint.” Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 22 Activity 3: Game, How Tall Am I? Play the game, How Tall Am I? by Jax, Ltd., Inc. Students roll a die to select hats, head, feet, body, legs and shoes to build fun characters piece by piece. They estimate and then measure their silly creations. The winner is the student who builds the tallest character. Materials: *How Tall am I? by Jax, Ltd., Inc. A ll NOTES: rig © ht Ze s no re se rv e d. Only four students can play at a time. Learning Linear Measurement, Area, Perimeter, Time, Weight and Capacity Page 23 Lesson 10 Focus: Review and Evaluations Post-Math Club Evaluations: Please ask the students to fill out a Post-Math Club Student Evaluation sheet. Remind students that this is not a test, but rather a way for you to understand their thinking. Also, teachers please fill out the Curriculum Evaluation form so that Zeno learns how to better serve you and the students in the future. Please mail all the Student Evaluations (those from the first day of class, and those from the last) and your Curriculum Evaluation back to Zeno in the self-addressed envelope provided. Books/ Games: How Tall Am I? by Jax, http://illuminations.nctm.org/ActivitySearch.aspx Ltd., Inc. http://www.apples4theteacher.com/measure.html Measuring Penny by Loreen Leedy How Big is a Foot? by Rolf Myller Chain Game Cotton ball area and perimeter Play clay link “inch/foot” worms Stopwatch activities Penny Biscuits Mother May I? A ll Activities: Websites on Measurement rig © ht Ze s no re se rv e Games/Activities for Review d. Thank You Filling a gallon Passing Time Time Dice Simon Says, “Show Me the Time.” Simon Says, “Show Me the Measurement.” Play with links http://www.bbc.co.uk/schools/revisewise/maths/ shape/13_act.shtml http://www.funbrain.com/measure/index.html http://www.quia.com/mc/65838.html Bibliography Adler, David. How Tall, How Short, How Faraway Holiday House, 1999 Fawcett, Linda, Gossett, Carol, and Mitchell, Myrna. It’s About Time. 2004 AIMS Education Foundation Leedy, Loreen. Measuring Penny Henry Hold and Company, Inc., 1997 Myller, Rolf. How Big is a Foot? Dell Yearling, 1991 NCTM. Exploring Mathematics through Literature: Articles and Lessons for Prekindergarten through Grade 8 NCTM, 2004 www.ehow.com http://illuminations.nctm.org/LessonDetail.aspx?ID=L125 http://www.teachnet.com/lesson/math/units052499.html Dear Parents/Guardians and Students, d. Welcome to a Zeno math club. We are excited to have your young mathematician participating in one of our clubs. This unit is an introduction to the mathematics of measurement for elementary students in first and second grades. In this ten lesson unit, your child will be working on fun activities to reinforce and expand on the classroom math curriculum. rig © ht Ze s no re se rv e Students will explore several branches of measurement: length, width, height, area, perimeter, volume/capacity, weight and time. Your child will learn how to make comparisons in the world of measurement. We will start out with hands-on activities and engaging stories that use non-standard units of measure to help introduce the concepts of standard units of measurement. Students will make playdough rulers, will link “inch/foot” worms and will create personalized “yard” sticks. We will play the game How Tall Am I? by Jax, Ltd., and several other activities to reinforce measurement concepts. They will learn the units of measure to make up a gallon capacity and will use a stopwatch to time the duration of particular actions. Finally, we chose highly praised story books to engage children in learning measurement concepts: A ll Measuring Penny by Loreen Leedy How Big is a Foot? by Rolf Myller Look for these books at one of your future trips to the library. We hope your child enjoys participating in math club. If you would like to learn more about our programs, be sure to call our office at 206-325-0774 or check out our website at www.zenomath.org. Sincerely, Zeno Student Contract Welcome to a Zeno math club. In order for all students to have a positive experience in this club we have developed the following guidelines. The guidelines explain the positive behaviors we expect as well as behaviors that are unacceptable. rig © ht Ze s no re se rv e d. Positive behavior will allow us to learn, play, grow and have fun together. Unacceptable behaviors will be handled by the club instructor, who may choose to contact the parents, teacher, or principal of the misbehaving student. Consequences of unacceptable behavior could include a warning or suspension from club activities. Positive Behaviors Listen and cooperate with students and teachers in the program. Follow directions. Wait quietly. Be responsible and respectful with your words and actions. Treat the materials carefully and use them in the way that you are instructed. Help with cleanup. A ll Unacceptable Behaviors Not following school rules. Put-downs, teasing, and swearing. Roughhousing, pushing, tripping, hitting, kicking or play fighting. Damaging materials or taking them out of the room (without teacher permission). I agree to follow these behavior guidelines and to do my best to help everyone have a positive experience. ___________________________________ Signature __________ Date Pre-Math Club Student Evaluation Discovering Measurement Club Teacher: Please read aloud the questions below to all students and allow a few seconds for response. Please mail to EIM pre and post student evaluations, along with the teacher evaluation at the completion of the math club. Thank you. d. Student Name: _______________________________________________ Date: __________________ rig © ht Ze s no re se rv e School: ______________________________________________________ Grade: ________________ Is this your first time in a Zeno club? ____ Yes ____ No ———————————————————————————————————————————— I think math is fun. No Maybe Yes I am comfortable answering questions in math class. Agree Neutral Disagree A ll Mathematics helps me develop my mind and teaches me to think. Agree Neutral Disagree I believe I am good at solving math problems. Agree Neutral Disagree Math is _____________________________________________________________ ____________________________________________________________________ . Pre-Math Club Student Evaluation Discovering Measurement 1. What unit would you use to measure the length of a book? a foot a yard rig © ht Ze s no re se rv e d. an inch 2. What unit would you use to measure the length of a football field? an inch a foot a yard There are _____ inches in one foot and ____ feet in two yards. 4. When you measure the distance around a room, you are measuring its... perimeter area 5. Write these units in order from smallest to largest: A ll 3. gallon, smallest cup, pint, quart largest A ll rig © ht Ze s no re se rv e d. Penne Pasta Zeno: Discovering Measurement: Lesson 1 Activity 1 Body Measurements A measurement always has two parts: 1. a number 2. a unit Example: body height = 10 biscuits rig © ht Ze s no re se rv e Body height d. Number Unit of measure Arm length A ll Leg length Standing long jump “Paw” width Zeno: Discovering Measurement: Lesson 2 Activity 1 A ll rig © ht Ze s no re se rv e d. Dog Biscuit Template Zeno: Discovering Measurement: Lesson 2 Activity 1 Measurement Hunt Number Unit of Measure A ll rig © ht Ze s no re se rv e d. Item Measured Zeno: Discovering Measurement: Lesson 3 Activity 3 COTTON BALL ACTIVITY d. AREA rig © ht Ze s no re se rv e PERIMETER ______COTTON BALLS 10 LINKS ______COTTON BALLS 12 LINKS ______COTTON BALLS 16 LINKS ______COTTON BALLS A ll 8 LINKS Zeno: Discovering Measurement: Lesson 5 Activity 2 AREA & PERIMETER Area Perimeter: The distance around a shape Area: The amount of space inside a shape 3) 4) 5) rig © ht Ze s no re se rv e 2) Unit A ll 1) Number d. Object Measuring 6) 7) Zeno: Discovering Measurement: Lesson 2 Extension A ll rig © ht Ze s no re se rv e d. Mr. Gallon Zeno: Discovering Measurement: Lesson 7 Activity 1 A ll rig © ht Ze s no re se rv e d. Giant G Zeno: Discovering Measurement: Lesson 7 Activity 3 Time Cards Who has 1:15? I have 1:15. Who has 2:00? I have 2:00. Who has 1:00? rig © ht Ze s no re se rv e d. I have 12:00. Who has 12:15? I have 12:15. Who has 2:15? I have 2:15. Who has 3:00? I have 3:00. Who has 4:00? I have 4:00. Who has 3:15? I have 3:15. Who has 1:30? I have 1:30. Who has 2:30? A ll I have 1:00. Zeno: Discovering Measurement: Lesson 8 Activity 2 Time Cards Who has 3:30? I have 3:30. Who has 5:00? I have 5:00. Who has 6:00? I have 6:00. Who has 7:15? I have 7:15. Who has 8:30? I have 8:30. Who has 7:00? I have 7:00. Who has 9:00? I have 9:00. Who has 6:30? I have 6:30. Who has 9:30? I have 9:30. Who has 10:30? A ll rig © ht Ze s no re se rv e d. I have 2:30. I have 10:30. Who has 11:00? Zeno: Discovering Measurement: Lesson 8 Activity 2 Time Cards Who has 7:30? I have 7:30. Who has 8:00? I have 8:00. Who has 10:00? I have 10:00. Who has 4:30? I have 4:30. Who has 5:30? I have 5:30. Who has 5:15? I have 5:15. Who has 11:30? I have 11:30. Who has 4:15? I have 4:15. Who has 8:15? I have 8:15. Who has 12:30? I have 12:30. Who has 12:00? A ll rig © ht Ze s no re se rv e d. I have 11:00. Zeno: Discovering Measurement: Lesson 8 Activity 2 STOPWATCH WORKSHEET Activity How Many Sit-ups (30 seconds) _______________ rig © ht Ze s no re se rv e Toe touch (1 minute) _______________ d. Jumping jacks (30 seconds) _______________ Hop on one foot (30 seconds) ______________ STOPWATCH WORKSHEET How Many A ll Activity Jumping jacks (30 seconds) _______________ Sit-ups (30 seconds) _______________ Toe touch (1 minute) _______________ Hop on one foot (30 seconds) ________________ Zeno: Discovering Measurement: Lesson 9 Activity 1 Post-Math Club Student Evaluation Discovering Measurement Club Teacher: Please read aloud the questions below to all students and allow a few seconds for response. Please mail to EIM pre and post student evaluations, along with the teacher evaluation at the completion of the math club. Thank you. d. Student Name: _______________________________________________ Date: __________________ rig © ht Ze s no re se rv e School: ______________________________________________________ Grade: ________________ Would you like to attend another Zeno club? ____ Yes ____ No ———————————————————————————————————————————— I think math is fun. No Maybe Yes I am comfortable answering questions in math class. Agree Neutral Disagree A ll Mathematics helps me develop my mind and teaches me to think. Agree Neutral Disagree I believe I am good at solving math problems. Agree Neutral Disagree Math is _____________________________________________________________ ____________________________________________________________________ . Post-Math Club Student Evaluation Discovering Measurement 1. What unit would you use to measure the length of a book? a foot a yard rig © ht Ze s no re se rv e d. an inch 2. What unit would you use to measure the length of a football field? an inch a foot a yard There are _____ inches in one foot and ____ feet in two yards. 4. When you measure the distance around a room, you are measuring its... perimeter area 5. Write these units in order from smallest to largest: A ll 3. gallon, smallest cup, pint, quart largest Curriculum Evaluation Form Discovering Measurement Dear Club Teacher, Thank you so much for making math fun for students. In order to make these clubs most effective for students and the club teachers we need to get some information from you on the lessons and games. Please include on the back of this form any additional information you would like us to know. Thank you. Ages/Grades of Students: How many weeks was the club? How many lessons were completed: How many students did you teach? d. _________________________________________________________________________________________________________ From the beginning to the end of math club, overall, did you observe any shift in student confidence? Please explain. No change More confidence rig © ht Ze s no re se rv e Less confidence __________________________________________________________________________________________________________ __________________________________________________________________________________________________________ What lessons and games did you find to be most helpful, and why? __________________________________________________________________________________________________________ __________________________________________________________________________________________________________ What lessons and games did you find to be least effective, and why? __________________________________________________________________________________________________________ __________________________________________________________________________________________________________ Is there anything that you feel needs to be changed or restructured? __________________________________________________________________________________________________________ A ll __________________________________________________________________________________________________________ Do the daily lessons provide enough activities to fill an hour? __________________________________________________________________________________________________________ __________________________________________________________________________________________________________ Were there any supplies missing from the club kit? __________________________________________________________________________________________________________ __________________________________________________________________________________________________________ Please return evaluation forms to: Zeno 1404 East Yesler Way, Suite 204 Seattle, WA 98122 If you have any other questions or concerns please feel free to contact: Program Director, Jennifer Gaer at 206-325-0774 or [email protected]
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