The purpose of this Number Talk is to encourage students to think about using known sums to create easier calculations and to rely on the properties of operations or the relationship between addition and subtraction to mentally solve problems. The methods elicited here will be helpful as students add and subtract within 20.
Launch
Display one expression.
“Give me a signal when you have an answer and can explain how you got it.”
1 minute: quiet think time
Activity
Record answers and strategies.
Keep expressions and work displayed.
Repeat with each expression.
Find the value of each expression mentally.
Student Response
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Advancing Student Thinking
Activity Synthesis
“Some of us used to help with . What other subtraction expression does help with?” (. It’s like the other subtraction equation, you just have to find a different unknown addend.)
Activity 1
Standards Alignment
Building On
Addressing
1.OA.C.6
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., ); decomposing a number leading to a ten (e.g., ); using the relationship between addition and subtraction (e.g., knowing that , one knows ); and creating equivalent but easier or known sums (e.g., adding by creating the known equivalent ).
The purpose of this activity is for students to add and subtract within 20. Students are encouraged to find sums and differences in as many different ways as they can. They record their thinking and then do a Gallery Walk to look at their classmates’ work. Set-up for the Gallery Walk by putting all the posters for a specific expression together. The Activity Synthesis focuses on how decomposing a number to lead to a ten can be a helpful method when subtracting within 20 (MP7). This activity uses MLR7 Compare and Connect. Advances: representing, conversing.
Launch
Groups of 2
Give each group tools for creating a visual display and access to connecting cubes in towers of 10 and singles.
Activity
MLR7 Compare and Connect
Read the Task Statement.
“Create a visual display that shows your thinking about each expression. You may want to include details such as drawings, numbers, words, or equations to help others understand your thinking.”
7 minutes: partner work time
“Now we will do a Gallery Walk so you can look at your classmates' work. Look for ways that their work is the same and different.”
7 minutes: Gallery Walk
Circle 1 addition expression and 1 subtraction expression.
Find the value of the expressions in as many different ways as you can.
Show your thinking using drawings, numbers, or words.
Student Response
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Advancing Student Thinking
Activity Synthesis
“What is the same and what is different about how you and your classmates added or subtracted?” (Some of us wrote equations. Some of us made 10 for the addition and subtraction expressions.)
Display , , .
“How did this student find the difference between 13 and 6?” (They broke 6 into 3 and 3. They took 3 from 13 to get to 10, and then took the other 3 away.)
“Why is it helpful to look for ways to get to a 10 when subtracting?” (Once you are at 10, it is easy to subtract another number because we know our ten facts.)
Activity 2
Standards Alignment
Building On
Addressing
1.OA.C.6
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., ); decomposing a number leading to a ten (e.g., ); using the relationship between addition and subtraction (e.g., knowing that , one knows ); and creating equivalent but easier or known sums (e.g., adding by creating the known equivalent ).
The purpose of this activity is for students to practice adding and subtracting within 20. Students add to find the sum of two numbers, and either add or subtract to find the unknown addend when one addend and the sum are given.
MLR8 Discussion Supports. Synthesis: Invite students to take turns sharing which equation they would choose and why. Ask students to restate what they heard using precise mathematical language and their own words. Display the sentence frame:
“I heard you say . . . .” Original speakers can agree or clarify for their partner. Advances: Listening, Speaking
Engagement: Develop Effort and Persistence: Differentiate the degree of difficulty or complexity. Begin by giving students a subset of the number cards with more accessible values, and then introduce the remaining cards once students have written equations for the first subset of cards. Supports accessibility for: Attention, Conceptual Processing
Launch
Groups of 3
Give students number cards and access to connecting cubes in towers of 10 and singles.
“We are going to play a game called Heads Up. This game is played with 3 students.”
Demonstrate with two students. Ask each student to choose a card without looking at it and hold it up to their foreheads.
“My partners have each chosen a card. My job is to find the sum and tell my group. Each of my partners use the other player’s number and the sum to determine what number is on their head. Then we all write the equation that represents what we did.”
Demonstrate writing an equation to show how you found the sum of the two numbers.
Ask students how they would find the number on each player's head and record the equations.
“After each round, switch roles and play again.”
Activity
15 minutes: small-group work time
Write an equation for each round you play.
Round 1: ________________________________
Round 2: ________________________________
Round 3: ________________________________
Round 4: ________________________________
Round 5: ________________________________
Round 6: ________________________________
Student Response
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Activity Synthesis
“During one round of Heads Up, Diego’s partner had a 3 on their card. Diego was told that the sum of their numbers was 12. What equations can Diego use to figure out what number is on his card?” ( or )
“Explain which of these equations you would use to find the unknown number.” (I would use because it is really easy to count back 3. I would choose , because I prefer adding. I would add 7 to get to 10 and then 2 more.)
Lesson Synthesis
“How does knowing addition and subtraction facts within 10 help you add and subtract within 20?” (I know all the different ways to make ten, so I can look for ways to get to a ten when I add or subtract. It helps me think of ways to make easier sums or differences. I can decompose one number and add or subtract in parts.)
Standards Alignment
Building On
Addressing
1.OA.C.6
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., ); decomposing a number leading to a ten (e.g., ); using the relationship between addition and subtraction (e.g., knowing that , one knows ); and creating equivalent but easier or known sums (e.g., adding by creating the known equivalent ).
If students only write equations using one operation when it is their turn to find an unknown addend (for example, they only write addition equations), consider asking:
“How does your equation represent what you did to find the number on your card?”
“What is a way you could use subtraction (or addition) to find the number that is on your head?”
Building Toward
1.OA.D.8
Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations , , .