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Here are two diagrams. One represents . The other represents . Which is which? Label each diagram with the value that represents the total.
Draw a diagram that represents each equation.
Here are two tape diagrams. Match each equation to one of the tape diagrams.
For each equation, draw a diagram that represents the same relationship. Then explain what the letters and represent in the relationships.
Tape diagrams can help us understand relationships between quantities and how operations describe those relationships.
Diagram A has 3 parts that add to 21. Each part is labeled with the same letter, so we know the 3 parts are equal. Here are some equations that all represent Diagram A:
Notice that the number 3 is in the equations, but it's not written in the diagram. The 3 comes from counting 3 boxes representing 3 equal parts in 21.
Diagram B has 2 parts that add to 21. Here are some equations that all represent Diagram B: