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1 U n t er r i ch t spl a n Ab s o l ut e Val ue Altersgruppe: 6t h Gr ade Texas - TEKS: G6.2.N O.B Fairfax County Public Schools Program of Studies: 6.3 .b.1, 6.3 .b.2, 6.3 .c .1 Oklahoma Academic Standards Mathematics: 6.GM .4 .1, 6.GM .4 .2, 6.N .1.1 Virginia - Mathematics Standards of Learning (2009): 6.3 b, 6.3 c Common Core: 6.N S .C .6a, 6.N S .C .6b, 6.N S .C .7 , 6.N S .C .7 c , 6.N S .C .7 d Minnesota: 6.1.1.7 , 6.2.3 .1, 6.2.3 .2 Alaska: 6.N S .6a, 6.N S .6b, 6.N S .7 , 6.N S .7 c , 6.N S .7 d Nebraska Mathematics Standards: M A .6.1.1.c , M A .6.1.1.h, M A .6.1.1.i , M A .6.2.2.b, M A .6.2.2.c , M A .6.3 .2.a, M A .6.3 .2.c South Carolina: 6.N S .5 , 6.N S .6a, 6.N S .6b, 6.N S .6c , 6.N S .7 , 6.N S .7 d, 6.N S .7 e , 6.N S .8c Indiana: 6.A F .8 Georgia Standards of Excellence: M GS E 6.N S .6a, M GS E 6.N S .6b, M GS E 6.N S .7 , M GS E 6.N S .7 c , M GS E 6.N S .7 d Online-Ressourcen: A bso l ut e l y! Mat h Pract ice T eacher present s St udent s pract ice Furt her Mat h Pract ice 9 3 10 10 10 5 min min min min min min Opening M at h Obj e c t i v e s Copyright 2015 www.matific.com Closing 2 E x pe r i e nc e problem solving P r ac t i c e ordering rational numbers L e ar n to apply absolute value De v e l o p algebra skills Copyright 2015 www.matific.com 3 Ope ni ng | 9 min Draw a number line on the board. Have students work in pairs. Ask them the following questions: Can you find two different rational numbers that are the same distance from zero? How many different pairs can you find? After the pairs have worked for a few minutes, share. Say: Name two different rational numbers that are the same distance from zero. Possible answers include: 2 and -2, 4 and -4, -11 and 11, etc. Ask: What is the relationship between each pair of numbers? They are opposites. Ask: How many pairs exist? An infinite number of pairs exist. Define abso l ut e v al ue for the class. A b s o lu t e v a lu e – a number’s distance from zero. (Distance is never negative.) Absolute value is written using two long bars on either side of the number: Copyright 2015 www.matific.com . 4 M at h P r ac t i c e : A bso l ut e V al ue W o r kshe e t | 3 min Put the following problems on the board. Solve as a class. 1. 2. 3. 2. 4. 6. Copyright 2015 www.matific.com 5 T e ac he r pr e se nt s M at h game : A bso l ut e l y! - A bso l ut e V al ue s | 10 min Present Matific’s episode A bso l ut e l y! - A bso l ut e V al ue s to the class, using a projector. The goal of the episode is to arrange the cards in order from smallest to largest. E x a m p le : Ask: Which cards should be to the left of zero? Which should be to the right? Which cards are out of place? Where should I move them? Drag the cards to the positions that the students indicate. Ask: Are the cards in the correct order now, or do we need to continue to rearrange? Continue to move the cards as the students suggest. When the students are satisfied with the order, click on Done. If you are correct, the episode will progress to a new problem. If you are incorrect, two (or more) of the cards will wiggle to indicate that they are in the wrong position. Copyright 2015 www.matific.com 6 S t ude nt s pr ac t i c e M at h game : A bso l ut e l y! - A bso l ut e V al ue s | 10 min Have the students play A bso l ut e l y! - A bso l ut e V al ue s on their personal devices. Circulate, answering questions as necessary. F ur t he r M at h P r ac t i c e : A bso l ut e V al ue W o r kshe e t | 10 min Put the following problems on the board. Have students work independently. 1. 2. 3. 4. 5. 6. 7. , then 9. 8. If , then how do 10. and 3, then = ____ compare? , then = _ _ _ _ Review solutions. Discuss any questions the students may have. Copyright 2015 www.matific.com 7 C l o si ng | 5 min S ay: Define absolute value. Absolute value is a number’s distance from zero. A sk: True or false? Absolute value is always positive. False. Absolute value can be zero. A sk: True or false? An integer can have more than one absolute value. False. Absolute value measures distance from zero. Every number has a fixed distance from zero. A sk: True or false? Two rational numbers can have the same absolute value. True. Numbers that are opposites have the same absolute value. Copyright 2015 www.matific.com