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The purpose of this Number Talk is to elicit strategies and understandings students have for making 10 when adding. These understandings help students develop fluency with operations within 20.
When students look for ways to rearrange and decompose numbers to make 10, they notice and make use of the structure of expressions and whole numbers (MP7).
Find the value of each sum mentally.
The purpose of this activity is for students to interpret a Compare problem with the smaller value unknown and connect the problem to a tape diagram. The Launch of the activity is an opportunity for students to share their experiences and ask questions about a beach to ensure each student has access into the context. If it is helpful, display a few images of beaches from different areas around the world. The story problem is introduced without numbers in order to allow students to consider the relationship between quantities. Students consider who has more or less, which supports their interpretation of the tape diagram. If needed to help students connect the tape diagram to the subtraction equation, show students that if you look at Diego’s rectangle and cover up the portion below that part that shows 20, it will be the same as Lin’s rectangle.
At the beginning of this activity, make sure students do not have their student books open yet.
Diego has 55 shells. Lin has 20 fewer shells than Diego.
Card Sort At the Beach Cards
The purpose of this activity is for students to connect Compare problems, tape diagrams, and equations with unknowns in all positions. Support students with interpreting “more” or “fewer” in the context of the story problem by encouraging them to explain which quantity should be the bigger quantity and which should be the smaller quantity. Ask them to describe what they look for in a diagram or equation to make sure it matches a story problem. When students analyze and connect the quantities and structures in the story problems, diagrams, and equations, they think abstractly and quantitatively (MP2) and make use of structure (MP7).
If students are not yet reading independently, consider reading one story problem at a time and giving students time to independently find their matches. It is recommended to read the story problems in order beginning with story problem A if facilitated in this way.
Read a story problem card.
Match each story problem to a diagram and an equation.
Be prepared to explain your reasoning.
“Today, we worked more with diagrams to represent Compare story problems. Diagrams can help show if we need to find the bigger number, the smaller number, or the difference.”
Display: Card H, J, and L from Activity 2.
“Which diagram shows that you are looking for the bigger number? How do you know?” (Diagram L, because the bigger bar has a question mark.)
“Which diagram shows that you are looking for the smaller number? How do you know?” (Diagram J, because the smaller bar has a question mark.)