Ext 6-8 Sampler

35 Grade7 AddingPositive&Negative Integers Lesson16, 7ETeacherGuide 52 Objective48: To addpositive andnegative integers. Materials: Black andwhite cubes (orMaster 20), a clear jar, playing cards, index cards AddingPositive andNegative Integers Writeon theboard: A football team lost 5yards on the first play andgained 9yards on the secondplay.Whatwas the total gainor loss? Have studentsuseblack andwhite cubes to solve the problem. Put 5white cubes in a clear jar to represent – 5. Add9black cubes to the jar to represent + 9. Pour the cubes out of the jar. What is thevalueof a positive1andanegative1? (zero) Show thepairingof 5 white cubeswith5black cubes, leaving4black cubes. Draw anumber lineon theboard and show the loss of 5 yards andgainof 9yards: Have studentsusemodels (black andwhite cubes or squares) and anumber line as you read the example at the topof thepage.Have students complete thepageon their own. Greatest Sum of Integers Divide the class intogroups of two, each with adeckof playing cardswith face cards removed. Twenty cards aredealt to each player. Theblack cardswill havepositive values and the red cardswill havenegative values. Players take turns turningover 5 cards at a time and adding the values shown. Example: -6 -5-4-3-2-1 0 1 2 3 4 5 6 loss of 5 gainof 9 – 5 + 7 – 9 + 2 – 4 sum= – 9 After eachplayerhas turnedover all 20 cards (ingroups of 5), players find the sumof their sums. Theplayerwith thehighest sum is thewinner. Encourage students to explain to eachother the strategies theyuse to find the sum. WritingWordProblems Give each student an index card.Have students select oneof theproblems 5–8 towrite a relatedwordproblem. Encourage students to use examples from the realworld and includeproblems with extra facts andhidden facts. Afterhaving a student shareherwordproblem aloud, askvolunteers tounderline thequestion and circle each fact.Ask avolunteer to explainhow to solve theproblem. Skill Builders 48-3 52 ©Math TeachersPress, Inc.,Reproduction by anymeans is strictly prohibited. AddingPositive andNegative Integerson aNumber Line You can usemodels or a number line to add positive and negative integers. A scuba diver descended 6 ft. below thewater and then ascended 2 ft. Where is the diver? – 6 + + 2 = – 4 feet Write the integers. Count to find the sum. Show the sum on the number line. 5. – 3 + + 2 = ______ 6. + 5 + – 2 = ______ 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 7. + 3 + – 5 = ______ 8. + 4 + – 5 = ______ 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 1. ______ + ______ = ______ 2. ______ + ______ = ______ 3. ______ + ______ = ______ 4. ______ + ______ = ______ 9. A football team gained 2 yards on the first down and lost 7 yards on the second down. What was their net loss or gain after two downs? _____ yds. 10. A football team lost 5 yards on the first down, lost 3 yards on the second down, and gained 8 yards on the third down. What was their net loss or gain after three downs? _____ yds. Solve. – 6 + + 2 = - 2 + + 2 =0 The diver is 4 ft. below thewater. 3 -4 -1 -1 -3 -3 -6 3 4 0 -2 -1 -2 -5 0 -1 3 2 7.NS.1, 7.NS.1b, 7.NS.3, 7.EE.3 Studentsdrawpictures on thenumber line.