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The purpose of this True or False? is to elicit strategies students have for adding fractions with unlike denominators. The reasoning students do here helps to deepen their understanding of the properties of operations. It will be helpful later in this lesson when students develop their own True or False? activity.
In the Activity Synthesis, it is important to discuss things the writer had to pay attention to when they designed this activity.
Decide if each statement is true or false. Be prepared to explain your reasoning.
The purpose of this activity is for students to reason about subtracting fractions with unlike denominators to write one equation that completes a True or False? activity. If there is time, students can facilitate their True or False? with another group.
Write an equation to complete the True and False? task. Be prepared to share your reasoning for the equation you chose.
Decide if each statement is true or false. Be prepared to explain your reasoning.
Write two equations to complete the True or False? task. Be prepared to share your reasoning for the equations you chose.
Decide if each statement is true or false. Be prepared to explain your reasoning.
Write three equations to complete the True or False? task. Be prepared to share your reasoning for the equations.
Decide if each statement is true or false. Be prepared to explain your reasoning.
“What were the most important things about your equations you had to consider as you created your True or False? Why were these things important?” (I needed to find equations where you could figure out whether or not it was true with a mental strategy. So the numbers had to be related in a nice way, and there needed to be some structure to help see if the expressions were equal or not, without finding the sums or differences.)