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The purpose of this True or False is for students to demonstrate strategies and understandings they have for interpreting a fraction as division of the numerator by the denominator and vice versa. These strategies help students deepen their understanding of the relationship between division and fractions where the unknown is the numerator, denominator, or the value of the quotient.
1 minute: quiet think time
Decide if each statement is true or false. Be prepared to explain your reasoning.
| Each person gets ________ pound(s) of blueberries. | ||||
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| more than 1 | exactly 1 | less than 1 | ||
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How many pounds of blueberries does each person get when they get more than 1 pound?
How many pounds of blueberries does each person get when they get less than 1 pound of blueberries?
(Pause your work after you answer the 2 questions.)
The purpose of this activity is for students to explain why
Constructing an argument that works for any pair of numbers requires thinking carefully about the meaning of the dividend,
This activity uses MLR7 Compare and Connect. Advances: Representing, Conversing.
MLR7 Compare and Connect
What numbers can replace the question marks in each equation? Explain your reasoning.
(Pause for teacher directions.)
Display and read: “What do you know about the relationship between division and fractions?” (Both can represent fair sharing situations. A fraction can mean division. For example,
If not mentioned by students, ask, “How can we represent the relationship between division and fractions?” (We can use diagrams, situations, and equations to represent the relationship.)
We learned that there is a relationship between division and fractions.
We can see this relationship in diagrams, situations, and equations.
Example: This diagram represents 2 sandwiches shared equally by 5 people. Each person gets