In this Grade 4 Eureka Math lesson, students learn to interpret tape diagrams and equations in order to create and solve their own multi-step word problems. Students practice writing story contexts that match given diagrams, then calculate solutions and evaluate the reasonableness of their answers. The lesson is part of Chapter 6, which focuses on addition and subtraction word problems.
Section 1
Creating Word Problems from Tape Diagrams
A tape diagram visually represents a part-whole relationship where the total length is the whole and the sections are the parts. A word problem based on the diagram must create a story where the quantities and their relationships match the diagram's structure, such as or .
Section 2
Solving for an Unknown in Multi-Step Problems
To find an unknown value (a variable) in a multi-step problem, perform a series of calculations based on the relationships given in the problem. For a total and parts , , and an unknown part , the equation might be structured as or .
Section 3
Model an Equation with a Tape Diagram to Create a Word Problem
To create a word problem from an equation, first draw a tape diagram to model the relationship between the quantities. An equation like or can be shown with a tape diagram where is the total (the whole tape) and and are the parts (sections of the tape).
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Section 1
Creating Word Problems from Tape Diagrams
A tape diagram visually represents a part-whole relationship where the total length is the whole and the sections are the parts. A word problem based on the diagram must create a story where the quantities and their relationships match the diagram's structure, such as or .
Section 2
Solving for an Unknown in Multi-Step Problems
To find an unknown value (a variable) in a multi-step problem, perform a series of calculations based on the relationships given in the problem. For a total and parts , , and an unknown part , the equation might be structured as or .
Section 3
Model an Equation with a Tape Diagram to Create a Word Problem
To create a word problem from an equation, first draw a tape diagram to model the relationship between the quantities. An equation like or can be shown with a tape diagram where is the total (the whole tape) and and are the parts (sections of the tape).
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter