Ext 6-8 Sampler

33 Grade7 TheSetof Integers Blackandwhitecubes (or squares) areused todevelopunderstandingof thenumber line. Lesson16, 7ETeacherGuide 50 Objective48: Toorder and compare integers. ELL Materials: Thermometer, black andwhite cubes (or positive andnegative integer squares,Master 20),Number Lines (Master 22) Vocabulary: integers Ordering Integers Use10black and10white cubes andMaster 22 tomodel and create thenumber linebetween – 10 and + 10. Where is thezeropoint onyournumber line? (thepointwhere the black andwhite cubesmeet) Count forward from0 to theendof yournumber line. (1, 2, 3, 4,…10) How far can thisnumber linebe extended in thepositivedirection? (forever, or infinitely) Countbackward from0 to theendof yournumber line. ( – 1, – 2, – 3,… – 10) How far canyou count in the negativedirection? (forever, or infinitely) Weusedots to show that thenumbers cangoon forever, or to infinity. Thisnumber linemodel represents the set of integers. The set of integers includes0and thepositiveand negativewholenumbers. Showhowbraces areused to list the set of integers: I= {… – 3, – 2, – 1, 0, + 1, + 2, + 3…} Comparing Integers Use real-world examples of temperatures to compare two integers.Use a real thermometer ordraw a thermometer on theboard. The temperature inDetroitwas10° abovezero in the morningand15° abovezeroatnoon. Mark the two temperatures. Howdoes themorning temperature compare to thenoon temperature? (10° is less than15°.) Writeon theboard: 10<15 Writeon theboard: The temperaturewas 5° at noon and – 10° atmidnight. Howdoes thenoon temperature compare to the midnight temperature? Point to the two temperatures on a thermometer and thenon anumber line. Howdoes + 5 compare to – 10? ( + 5 is greater than – 10.) Writeon theboard: + 5> – 10 – 10 – 9 – 8 – 7 – 6 – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 5 6 7 8 9 10 Read the explanation at the topof thepage together. Emphasize that the valueof numbers increases as youmove upon a thermometer or to the right on anumber line, so that up and right arepositivedirections.Workproblems 1, 3 and5with the class.Have students complete thepageon their own. Skill Builders 48-1, 48-2 48-14 (absolute value) 50 ©Math TeachersPress, Inc.,Reproduction by anymeans is strictly prohibited. TheSet of Integers The set of integers includes the number 0, the set of whole numbers, and their oppo- sites. This set canbe shown as {… – 3, – 2, – 1, 0, 1, 2, 3…} The temperature onBob’s thermometer showed 4° above zero. This temperature couldbewritten + 4°F and called “positive 4.” A thermometer turnedhorizontally shows anumber line for integers. The temperature onTamil’s thermometer showed 2° below zero. This temperature could bewritten – 2°Fand called “negative2.” Ablack cubemay be used to show each positiveunit, 4°Fwould be 4 black cubes. Awhite cubemay be used to showeach negativeunit, – 2°F wouldbe2white cubes. 10 8 6 4 2 0 – 2 – 4 – 6 4 2 0 – 2 – 4 – 6 – 8 – 10 – 12 1. If a gain of 5 yards is shown by 5, – 5means __________________ . 2. If – 50 represents awithdrawal of $50, 50means __________________ . 3. – 2, _____, _____, _____, 2 4. – 1, _____, _____, 2, _____ 5. – 5 0 6. – 2 – 5 7. 4 – 5 8. – 3 2 Apositiveor negativenumbermaybedescribedby a statement.Writea statement for theoppositenumber. Write the integers that aremissing. Write>or < tomake a true sentence. – 5 – 4 – 3 – 2 – 1 0 + 1 + 2 + 3 + 4 + 5 Which number is greater, – 4 or 2?Use a picture on the number line to explain your answer. Also, usea real-world example to explainwhy one of the two numbers is greater than theother. – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 5 a lossof 5 yards adeposit of $50 –1 0 1 0 1 3 > > < < 7.NS.1a Teacher’s script is bold toguide the teacher through the lesson.