What is a fraction? 1. What is the definition of a fraction?
2. Shade ¼ of this shape.
How did your shading match your definition of a fraction? Naming Fractions: 3. With the area of a unit square as the unit 1, draw two distinct pictorial representations each
of (a) 5
6
and (b)
7
4
4. Use the unit fraction to explain where (a) 5
6
and (b) 7
4
are on the number line.
Equivalent Fractions: 5. Explain each of the following equivalent fractions using the specified model:
a. Fraction strips:
b. Number line: 6
14
28
24
3
7
=
=
7
6
c. Area model using 1 as the area of a unit square: 6. Are the fractions 161
91
and
253
143
30
12
=
5
2
equivalent? Explain your answer by writing each as a fraction scaled by a fraction equivalent to one. Math problems adapted by Jim Town from Wu’s Understanding Mathematics Math problems adapted by Jim Town from Wu’s Understanding Mathematics Same Size Pieces: 7. 8. Explain this sum using models : 2
5
+ 52 =
29
10
. from EngageNY (Grade 3): 9.
LNatalie explained, “My drawing shows a picture of !! .” Kosmo says, “It looks like a picture of ! ! to me.” a) Show and explain how they could both be correct by choosing different wholes. Use words,
pictures, and numbers. b) Natalie said to Kosmo, “One part can represent either 1 half or 1 fourth. That must mean
!
!
!
= .” Do you agree with Natalie? Use words, pictures, and numbers to explain your reasoning !