Download Absolute Value

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