1
U n t er r i ch t spl a n
M ixe d Numb e r Ad d it io n (Like
De no minat o rs )
Altersgruppe: 4 t h Gr ade
Virginia - Mathematics Standards of Learning (2009): 5 .6
Fairfax County Public Schools Program of Studies: 5 .6.a.1, 5 .6.a.2,
5 .6.a.3 , 5 .6.a.4
Online-Ressourcen: S ay C he e se
Opening
T eacher
present s
St udent s
pract ice
Mat h
Pract ice
5
10
14
14
4
min
min
min
min
min
Closing
M at h Obj e c t i v e s
E x pe r i e nc e a visual model for adding mixed numbers
P r ac t i c e converting from improper fractions to mixed
numbers
L e ar n to add mixed numbers with like denominators
De v e l o p arithmetic skills
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2
Ope ni ng | 5 min
Display the following problems. Have the students do them in their
notebooks.
When the students are done, ask: how do we add fractions with the
same denominator?
We keep the denominator the same and add the numerators.
S ay : Sometimes our answer is an i mpr o pe r f r ac t i o n . What is an
improper fraction?
An improper fraction is a fraction where the numerator is greater
than or equal to the denominator.
A sk : What step do we need to take if we get an improper fraction
as our answer?
We need to change to a mi x e d numbe r .
Review solutions to the four problems. Discuss any questions the
students may have.
T e ac he r pr e se nt s M at h game : S ay C he e se - A dd M i x e d
N umbe r s | 10 min
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3
Using Presentation Mode, present Matific ’s episode S ay C he e se
- A dd M i x e d N umbe r s to the class, using the projector.
The goal of the episode is to add mixed numbers with like denominators.
E x a m p le :
S ay : Please read the instructions.
The instructions say, “Complete the equation:
.”
A sk : How does the image of the bread and cheese help us?
The top pieces of bread represent
covered in cheese and the other slice
. One entire slice of bread is
has of it covered. The
bottom slice represents . Two thirds of the bread is covered in
cheese.
A sk : How can we find the sum?
We can move the 2 strips of cheese from the bottom piece of
bread to the top right piece.
Move the cheese to the top slice.
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A sk : What is the sum?
Click on the
to enter the students’ answer.
If the answer is correct, the episode will proceed to the next problem.
If the answer is incorrect, the problem will wiggle.
The episode in presentation mode will present a total of 3
problems. Starting with the second problem, the bread and cheese
will not be set up. You can move the bread from the basket and
place the cheese on top of it. To change the size of the cheese
strips, click on the arrows ( or ).
S t ude nt s pr ac t i c e M at h game : S ay C he e se - A dd M i x e d
N umbe r s | 14 min
Have the students play S ay C he e se - A dd M i x e d N umbe r s on
their personal devices. Circulate, answering questions as necessary.
M at h P r ac t i c e : M i x e d N umbe r A ddi t i o n W o r kshe e t | 14 min
Ask the students to copy the following bingo board:
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Have the students fill in the 24 empty boxes with the following
numbers. They should each place the numbers randomly in the
boxes; in this way, each student has a unique bingo card.
The students should cross off the “Free Space”.
Read off the following addition problems, in random order. The
students should solve each problem and then cross off the answer
on their bingo cards. The first student to cross off five in a row
(across, down, or on the diagonal) wins.
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More games can be played, as time allows.
C l o si ng | 4 min
S ay : Let’s look at the problem
write the answer as
answer. Why not?
plus
. Some people might
. This is not a standard way to write the
That number is not a mixed number and it is not an improper
fraction. It pairs a whole number with an improper fraction.
A sk : What would be the standard way to write
We would write it as
?
.
A sk : How do you know that
is equivalent to
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?
7
Four thirds is the same as
gives
. Adding that to the 3 that we have
.
A sk : What is the standard way to write
The standard way to write
equivalent to
is
? How do you know?
. The improper fraction, , is
. We add that to 2 to get
.
S ay : State an addition problem that has a sum of
.
Answers will vary. A possible response:
S ay : State an addition problem that has a sum of
Answers will vary. A possible response:
.
.
S ay : State an addition problem with two mixed numbers that has a
sum of
.
Answers will vary. A possible response:
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.