Multiplying a Whole Number by a Unit Fraction
4NF4
What is a multiplication equation to represent this model?
Introduction - using a model
x
=
What is a multiplication equation to represent this model?
Introduction - using a model
x
=
3
4
12
What is a multiplication equation to represent this model?
Introduction - using a model
groups of
=
3
4
12
What do you notice about this model?
Introduction - using a model
Introduction - using a model
groups of
3
Introduction - using a model
groups of
=
3
n
Introduction - repeated addition
=
+
Can also be thought of as:
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Three Fourths
+
Introduction - using a model
groups of
=
3
Introduction - using a model
=
3
x
Introduction - using a model
=
3
x
Can also be thought of as:
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| |
Three Fourths
Practice - using a model
4
x
Use the virtual fractions to build a model for the expression below.
Practice - using a model
=
4
x
Draw your model and solve the equation.
Debrief - using a model
=
4
x
What can you tell me about this model?
4
5
Four Fifths
Repeated addition
=
How can you use repeated addition to solve 4 x ?
Four Fifths
+
+
+
4
x
=
4
5
Repeated addition
=
What can you tell me about this model?
4
5
Four Fifths
+
+
+
4
x
=
4
5
Practice - using a model
8
x
Use the virtual fractions to build a model for the expression below.
Practice - using a model
=
Draw your model and solve the equation.
8
x
Debrief - using a model
=
8
x
What can you tell me about this model?
8
10
Eight Tenths
Practice - using a model
Use the virtual fractions to build a model for the expression below.
5
x
Practice - using a model
=
Draw your model and solve the equation.
5
x
Debrief - using a model
=
5
x
What can you tell me about this model?
5
6
Five sixths
Practice - using a model
=
6
x
What is the equation that matches the model?
Practice - using a model
=
7
x
What is the equation that matches the model?
Practice - using a model
=
x
What is the equation that matches the model?
Practice - using a model
=
x
What is the equation that matches the model?
Introduction - using a
number line
=
3
x
How can we use a number line to show 3 x ?
=
3
x
Three jumps of .
Introduction - using a
number line
Practice - using a
number line
=
Represent the equation on the number line and solve the equation.
x
4
Debrief - using a
number line
What can you tell me about this model?
Practice - using a
number line
=
Represent the equation on the number line and solve the equation.
x
8
Debrief - using a
number line
What can you tell me about this model?
Practice - using a
number line
=
Represent the equation on the number line and solve the equation.
x
5
Debrief - using a
number line
5 + 1 = 1
This student made an error. What error did they make? What do they need to do to fix their work?
Practice - using a
number line
=
6
x
What is the equation that matches the number line?
Practice - using a
number line
=
7
x
What is the equation that matches the number line?
Practice - using a
number line
=
x
What is the equation that matches the number line?
Practice - using a
number line
=
x
What is the equation that matches the number line?
What connections can you make between these representations?
Four
Fifths
Practice - using a model
8
x
Use the virtual fractions to build a model for the expression below.
Practice - using a model
=
8
x
Draw your model and solve the equation.
Debrief - using a model
=
8
x
What can you tell me about this model?
8
5
or
3
5
1
Practice - using a model
10
x
Use the virtual fractions to build a model for the expression below.
Practice - using a model
=
x
Draw your model and solve the equation.
10
Debrief - using a model
=
x
What can you tell me about this model?
10
6
or
4
6
1
10
Debrief - using a model
=
x
What can you tell me about this model?
10
6
or
4
6
1
10
You can also think
of this as .
Practice - using a
model
=
7
x
What is the equation that matches the model?
Practice - using a
model
=
5
x
What is the equation that matches the model?
Practice - using a
model
=
x
What is the equation that matches the model?
Practice - using a
model
=
x
What is the equation that matches the model?
Practice - using a
number line
=
Represent the equation on the number line and solve the equation.
x
8
Debrief - using a
number line
What can you tell me about this model?
Practice - using a
number line
=
Represent the equation on the number line and solve the equation.
x
10
Debrief - using a
number line
What can you tell me about this model?
Practice - using a
number line
=
7
x
What is the equation that matches the number line?
Practice - using a
number line
=
5
x
What is the equation that matches the number line?
0 1 2
Practice - using a
number line
=
x
What is the equation that matches the number line?
0 1 2 3 4
Practice - using a
number line
=
x
What is the equation that matches the number line?
What connections can you make between these representations?
One and Three Fifths
What would be the repeated addition number sentence?