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The purpose of this Number Talk is to elicit strategies and understandings students have for adding within 100. These understandings help students develop fluency and will be helpful later in this lesson when students add two-digit numbers using methods based on place value.
Find the value of each expression mentally.
The purpose of this activity is for students to make sense of the first step of addition methods and then finish finding the sum. They write equations to represent their thinking. In the Activity Synthesis, students have opportunities to share how they represented a method with equations and connect the representations using their understanding of place value (MP7).
Lin and Han are both finding the value of .
Look at how each student started.
What should they do next to find the value?
Write equations to represent your thinking.
Lin started by putting 3 tens and 5 tens together.
She recorded her first step like this: .
Han started with 54 and added 3 tens.
He recorded his first step like this: .
The purpose of this activity is for students to find the sum of 2 two-digit numbers and represent their thinking with equations. Students then orally explain their steps to a partner and how the equations they wrote match their steps. Partners listen and then practice restating what they heard their partner say. Restating what a partner has said helps ensure students listen for understanding as their partner explains their thinking. Students have multiple opportunities to explain their thinking and the thinking of a partner and revise their language for clarity (MP3, MP6).
This activity uses MLR8 Discussion Supports. Advances: listening, speaking, conversing.
MLR8 Discussion Supports
Find the value of using Lin’s or Han’s method.
Show your thinking using equations.
Display:
31 + 48
48 + 30 = 78
78 + 1 = 79
“Today we found the sums of 2 two-digit numbers, explained our thinking, and practiced restating our partner's thinking. Listen as I explain how I found the value of 31 + 48. Then you will have a chance to restate what you heard me say.”
Explain the steps represented by the equations and invite students to share beginning with, “I heard you say...”
We added numbers within 100.
We learned different methods to add by thinking about tens and ones and record our thinking with equations.
Add on tens then ones:
Add tens and tens and ones and ones: