The Inch Objectives To introduce the inch as a standard unit of length; and to provide practice measuring to the nearest inch. a www.everydaymathonline.com ePresentations eToolkit Algorithms Practice EM Facts Workshop Game™ Teaching the Lesson Key Concepts and Skills • Count forward by 1s. [Number and Numeration Goal 1] • Use language of approximation when measuring. [Measurement and Reference Frames Goal 1] • Measure length to the nearest inch. [Measurement and Reference Frames Goal 1] • Compare standard units of measure and lengths of objects. [Measurement and Reference Frames Goal 1] Family Letters Assessment Management Common Core State Standards Ongoing Learning & Practice 1 2 4 3 Playing Time Match per partnership: 16 of 24 Time Match Cards (Math Masters, pp. 354 and 355), 3" by 5" note cards (optional), clock-face stamp (optional) Children practice telling time on analog clocks. Math Boxes 4 4 Math Journal 1, p. 63 Children practice and maintain skills through Math Box problems. Key Activities Home Link 4 4 Children measure using 1-inch long objects and then measure to the nearest inch with a 1-foot ruler. They order and compare lengths of objects. Math Masters, p. 99 Children practice and maintain skills through Home Link activities. Ongoing Assessment: Recognizing Student Achievement Use the Math Message. [Measurement and Reference Frames Goal 1] Curriculum Focal Points Interactive Teacher’s Lesson Guide Differentiation Options READINESS Comparing Lengths Foot-Long Foot (Math Masters, p. 97) per partnership: 10" and 11" paper strips, 1-inch stacking cubes Children use cubes to measure different objects. ENRICHMENT Measuring Objects Longer than One Foot Foot-Long Foot (Math Masters, p. 97) objects between 1 and 2 feet long 12-inch ruler from Part 1 Children measure objects between 1 and 2 feet. ELL SUPPORT Building a Math Word Bank Differentiation Handbook, p. 126 Children add inch to their Math Word Banks. Ongoing Assessment: Informing Instruction See page 293. Key Vocabulary inch in. Materials Math Journal 1, p. 62 Home Link 43 Math Masters, p. 305 Math Masters, p. 313 (2 per child) Foot-Long Foot (Math Masters, p. 97) 1-inch stacking cubes scissors several objects shorter than a foot overhead ruler (optional) Advance Preparation For Part 1, gather 1-inch cubes (or other 1-inch long objects) for each partnership. In Part 2, save the decks of 24 cards from Time Match for reuse in Lesson 410. For the optional Readiness activity in Part 3, half of the children will need 10" strips. The other half will need 11" strips. Teacher’s Reference Manual, Grades 1–3 pp. 166, 167 Lesson 4 4 291_EMCS_T_TLG1_G1_U04_L04_233812.indd 291 291 2/18/11 10:45 AM Getting Started Mental Math and Reflexes Have children show thumbs up for even numbers and thumbs down for odd numbers. 2, 5, 9, 10 2 and 10 are even; 5 and 9 are odd. 14, 18, 23, 31 14 and 18 are even; 23 and 31 are odd. 67, 76, 102, 111 76 and 102 are even; 67 and 111 are odd. Math Message Home Link 43 Follow-Up Did anyone find a person with a foot-long foot? Should people use their own feet as a unit of measure? Why or why not? No; it might give a good estimate, but each person might get a different measurement. Estimate about how many feet it is from your seat to the meeting area. Call children to the meeting area in groups of 3 or 4. Ask them to use the foot-long foot to measure and record in feet how far it is from their seat to the meeting area. 1 Teaching the Lesson Math Message Follow-Up WHOLE-CLASS ACTIVITY Discuss children’s measurements. Ask if anyone had a part of a foot “left over” as he or she reached the meeting area, and, if so, how did he or she record that part of a foot in the total distance. Half of a foot, part of a foot, less than 1 whole foot Ask children if they know of rulers other than the foot-long foot that they can use to measure smaller distances. If no one suggests inches (or centimeters), discuss the need for a unit of measure smaller than a foot. Teaching Aid Master Date 12 Name 11 Rulers Ongoing Assessment: Recognizing Student Achievement Math Message [Measurement and Reference Frames Goal 1] 11 12 7 13 14 8 15 9 10 Use the Math Message to assess children’s ability to measure in feet. Children are making adequate progress if they use the foot-long foot correctly, not overlapping or leaving gaps between units. Some children may get exact measurements. 7 5 8 9 6 10 Introducing the Inch As 5 6 a Standard Unit of Length (Math Masters, p. 313) RS 2 IM E CE NT 1 0 1. Review the process of measuring objects that are longer than one foot by marking and counting with one foot-long foot cutout or by laying several cutouts end to end. NC HE S 1 2 TE 3 3 4 4 Copyright © Wright Group/McGraw-Hill WHOLE-CLASS ACTIVITY 0I 313 Math Masters, p. 313 EM3cuG1MM_U04_91-118_313-356.indd 313 292 3/23/10 10:27 AM Unit 4 Measurement and Basic Facts EM3cuG1TLG1_292-296_U04L04.indd 292 1/20/11 11:45 AM 2. Next, distribute at least eight 1-inch stacking cubes (or other 1-inch objects) to each partnership. (As an alternative, children can use the distance across their index and middle fingers to approximate 1 inch.) Tell children that the inch is a standard unit of length that is shorter than the foot. Each edge of the cube (or other object) is 1 inch long. 3. Partners measure several objects, such as a pencil or a book, by laying a row of cubes next to the object and counting them. The edge of the first cube should align with one end of the object. Observe partners’ actions and interactions. After a few minutes, bring the class together to share results. 4. Children cut out the 12-inch ruler on Math Masters, page 313. Children match a 1-inch cube against a 1-inch space on the ruler. They then compare the ruler to their foot-long foot and count the number of inches in a foot. Adjusting the Activity Ask if anyone knows what the smaller marks on the cutout ruler indicate. half-inches Note that the half-inch marks are positioned halfway between the inch marks. A U D I T O R Y K I N E S T H E T I C T A C T I L E Measuring in Inches with V I S U A L WHOLE-CLASS ACTIVITY the Cutout Ruler ELL (Math Journal 1, p. 62) Display an object shorter than a foot. Show children how to use the cutout ruler to measure the object, as follows: 1. Place the object on or alongside the ruler, with one end at the 0-mark. Explain that this is like lining up objects side by side to compare their lengths. Student Page Date LESSON 4 4 䉬 2. Find the inch mark nearest to the other end of the object by using the mark halfway between whole inches to help you decide. (Children may need several demonstrations at this stage of using a measuring tool.) Time Inches Pick 4 short objects to measure. Draw or name them. Then measure the objects with your ruler. Answers vary. 1. About inches long About inches long About inches long About inches long 2. Ongoing Assessment: Informing Instruction Watch for children who do not align one end of the object with the 0-mark. 3. Adjusting the Activity Draw a large “ruler” on the board or use a transparent ruler on an overhead projector to demonstrate how the ruler should be used. Show children how to line up an object at the 0-mark and how to find a measurement to the nearest inch. A U D I T O R Y K I N E S T H E T I C T A C T I L E 4. V I S U A L Math Journal 1, p. 62 Lesson 4 4 EM3cuG1TLG1_292-296_U04L04.indd 293 293 1/20/11 11:45 AM Adjusting the Activity Have children use crayons to mark the inch marks on their rulers to help them distinguish between the inch and _12 -inch marks. AUDITORY KINESTHETIC TACTILE VISUAL Partners pick four short objects not already measured. They draw or name each object on journal page 62. Then they use their rulers to measure the actual objects to the nearest inch and record their measurements. Put a unit box (labeled inches or in.) on the board. To support English language learners, discuss the difference between the abbreviation in. and the word in. Circulate and help children to line up one end of the object to be measured with the 0-mark on the ruler and then to read the nearest inch at the other end of the object. Explain that inches give more precise measurements than feet, although objects rarely end at an inch mark. Bring the class together to share results. Make the following points: NOTE Some children may give a measurement to the nearest _12 inch if the end of an object is close to that mark. In second grade, children will measure to the nearest _12 inch using the _14 -inch marks on a ruler. ● Standard measures, such as feet and inches, enable different people measuring the same thing to get about the same measurements. ● Measure by starting at the 0-mark (or end mark if there is no zero). ● Many times things are not an exact number of inches or feet in length. Therefore, descriptions such as between and inches (or feet), just past inches (or feet), about inches (or feet), or almost inches (or feet) are good phrases to use. ● 12 inches equals 1 foot. Links to the Future This is children’s first exposure to measuring with inches. Do not expect all children to master this skill while in first grade. Measuring to the nearest inch is a Grade 2 Goal. Reinforce ordering lengths of objects and comparing lengths of two objects indirectly using a third object by writing the following sentence on the board: If and then is longer than is longer than is longer than , , . For example, if the pencil is longer than the crayon, and the crayon is longer than the eraser, then the pencil is longer than the eraser. Use three of the four objects children measured to complete Math Journal 1, page 62 and have them take turns completing this sentence orally. Have children work in pairs to complete the sentence on an Exit Slip (Math Masters, page 305) using other objects. 294 Unit 4 Measurement and Basic Facts 292-296_EMCS_T_TLG1_G1_U04_L04_233812.indd 294 2/18/11 10:49 AM Game Master 2 Ongoing Learning & Practice Name Date 11 10 Playing Time Match 1 2 4 3 Time Match Cards PARTNER ACTIVITY 12 1 11 10 2 3 9 8 4 7 6 12 1 3 8 5 11 10 2 9 4 7 6 12 1 2 3 9 8 5 4 7 6 5 (Math Masters, pp. 354 and 355) Children practice telling time on analog clocks. This game can be played by 2 or 3 players using a prepared deck of 16 cards. 11 10 12 1 3 8 11 10 6 12 3 6 12 6 12 5 1 2 9 4 6 3 11 10 2 3 7 2 4 7 1 8 5 1 8 5 9 4 7 6 12 9 4 11 10 2 8 3 7 1 11 10 2 3 8 5 4 7 6 5 py g 1. One player shuffles the cards and places all 16 cards clock-side down in a 4 × 4 array. 1 8 5 9 12 9 4 7 Directions 11 10 2 9 g 3. When all of the cards have been collected, the player with the most matches wins. Math Boxes 4 4 INDEPENDENT ACTIVITY (Math Journal 1, p. 63) Mixed Practice Math Boxes in this lesson are paired with Math Boxes in Lesson 4-2. The skills in Problem 4 preview Unit 5 content. Writing/Reasoning Have children discuss, draw, or write an answer to the following question: Why is it important to use a thermometer? A reasonable answer should connect reading the thermometer to making everyday decisions as to what to wear or what to do. Home Link 4 4 INDEPENDENT ACTIVITY 11 10 12 1 11 10 2 9 3 8 6 1 3 8 5 11 10 2 9 4 7 12 6 1 2 9 4 7 12 p 2. Players take turns turning over 2 cards at a time. If the cards match, the player keeps them. If the cards don’t match, they are returned clock-side down in the same positions. 3 8 5 4 7 6 5 Math Masters, p. 354 NOTE Prepare the deck of 16 cards by removing the 4 clock-face cards and the 4 word cards that reference quarter-hours. To create your own deck of cards, cut eight 3" by 5" index cards in half. On 8 of the cards, stamp a clock face. Fill in appropriate times on the clock faces and write the same times in words on the other 8 cards. Game Master Name Date Time Match Cards 1 2 4 3 continued 3 o’clock 5 o’clock 11 o’clock 7 o’clock Half-past 2 o’clock Half-past 10 o’clock Half-past 12 o’clock Quarter-past 5 o’clock Quarter-before 7 o’clock Half-past 6 o’clock Quarter-to 9 o’clock Quarter-after 1 o’clock (Math Masters, p. 99) Home Connection Children use a ruler to measure and record lengths. In addition to the Home Link, you might wish to send home copies of the ruler (Math Masters, page 313) for children who may not have rulers at home. Math Masters, p. 355 Lesson 4 4 EM3cuG1TLG1_292-296_U04L04.indd 295 295 1/20/11 11:45 AM Student Page Date Time LESSON 3 Differentiation Options Math Boxes 4 4 䉬 1. Record the temperatures. °F 70 °F 70 60 60 50 50 40 40 30 30 58 42 °F READINESS Comparing Lengths 2. Draw the missing shape. 4. Use a number grid. Count by 10s. Before Number After 27 28 34 49 100 1, 29 35 50 101 36 51 102 11, 21 , 31 , 61 , 71 , 41 , 51 81 , 91 , 101 , Math Journal 1, p. 63 Have children set aside their strips and use 1-inch stacking cubes to make a stack as tall as their foot-long foot. They should compare their strips to their cube stack. Ask them if they can now tell which set of strips is longer. Ask why it was easier to compare the lengths using the cube stacks. With the cube stacks, you can tell that one set of strips is 10 cubes long and the other set of strips is 11 cubes long. Encourage children to use their cube stacks to measure objects in the room to the nearest “cube.” ENRICHMENT NOTE Remember to reserve time every day to complete the number-line, attendance, calendar, temperature, and weather routines. Home Link Master Name Date Measuring with Inches HOME LINK 44 䉬 Family Note 5–15 Min To provide experience with estimating and comparing lengths, have children determine which of two strips is longer. Give one half of the group 10-inch strips and give the other half 11-inch strips. Do not allow children to directly compare strips. Have children measure their strips with the foot-long foot from Lesson 4-3. Ask children how they can tell which set of strips is longer without directly comparing the strips. °F 3. Complete the table. SMALL-GROUP ACTIVITY We are learning how to measure to the nearest inch. Do not expect your child to be proficient with this skill at this time. We will be practicing throughout the year. To help your child, make sure that he or she lines up one end of the object with the 0-mark on the ruler. Help your child find the closest inch mark at the other end of the object. Measuring Objects Longer SMALL-GROUP ACTIVITY 5–15 Min than One Foot To apply children’s understanding of linear measurement to the nearest inch, have children measure objects that are longer than one foot but shorter than two feet. Ask children how they might use their foot-long foot and their 12-inch ruler to measure these objects. Have a volunteer demonstrate how to do this by measuring to the nearest inch. Have children work together to measure the selected objects to the nearest inch or half-inch, as appropriate. Children can record the objects and their lengths. Some children may want to measure objects longer than two feet. Please return this Home Link to school tomorrow. Use your 12-inch ruler to measure the objects below. Record your measurements. About 4 inches long About 3 inches long Copyright © Wright Group/McGraw-Hill Practice How many tally marks? 12 5. Draw tally marks to show 19. ////\ ////\ ////\ //// 4. ////\ ////\ ////\ ////\ / 21 5–15 Min To provide language support for measurement, have children use the Word Bank Template found on Differentiation Handbook, page 126. Ask children to write the term inch, draw a picture to represent the term, and write other words that describe it. See the Differentiation Handbook for more information. 6. Draw tally marks to show 25. ////\ ////\ ////\ ////\ ////\ Math Masters, p. 99 296 SMALL-GROUP ACTIVITY (Differentiation Handbook, p. 126) 2. 3. ////\ ////\ // ELL SUPPORT Building a Math Word Bank 1. Planning Ahead Label children’s tape measures with their identification numbers for distribution in Lesson 4-6. Unit 4 Measurement and Basic Facts EM3cuG1TLG1_292-296_U04L04.indd 296 1/4/11 9:07 AM
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