The purpose of this Number Talk is to elicit strategies and understandings students have for addition and subtraction equations with 10 and some more. These understandings help students develop fluency and will be helpful later in this lesson when students will need to be able to solve story problems with 10 and some more.
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.
Student Task Statement
Find the value of each expression mentally.
Student Response
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Advancing Student Thinking
Activity Synthesis
“How can you use the first problem to help you find the difference in the second problem?” (If , then I know that .)
“Did anyone approach the problem in a different way?”
Activity 1
20 mins
Story Problems with a Ten
Standards Alignment
Building On
Addressing
1.OA.1
Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 - 4 = 13 - 3 - 1 = 10 - 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 - 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).
The purpose of this activity is to elicit methods students have for solving story problems involving addition and subtraction with teen numbers. Students are presented with story problem types that are familiar to them to allow for discussion about methods they used to find the answer.
Students solve the problems in any way that makes sense to them. They may build values and add-on or take-away, or use what they have learned about the structure of teen numbers. Students can write many different equations to represent each problem or how they solved it. It’s important that students are able to relate their equations to the story problem and explain their work (MP2, MP4).
MLR6 Three Reads. Keep books or devices closed. To launch this activity, display only the problem stem, without revealing the question. “We are going to read this story problem three times.”
After the 1st Read: “Tell your partner what happened in the story.”
After the 2nd Read: “What are all the things we can count in this story?” Reveal the question.
After the 3rd Read: “What are different ways we can solve this problem?”
Advances: Reading, Representing
Launch
Groups of 2
Give students access to double 10-frames and connecting cubes or two-color counters.
“Many people have the hobby of collecting things. Do any of you collect something?”
Share responses.
“What are some things that you know people collect, or that you might like to collect?” (baseball cards, marbles, rocks)
30 seconds: quiet think time
1 minute: partner discussion
Share responses.
“Let’s solve some story problems about collections.”
Activity
Read the Task Statement.
“Write 2 equations to match each of these stories.”
6 minutes: independent work time
4 minutes: partner discussion
Monitor for a student who wrote an addition equation and one who wrote a subtraction equation for the problem about Priya.
Student Task Statement
Kiran collects baseball caps.
He has 5.
He gets some more.
Now he has 15.
How many baseball caps did he get?
Show your thinking using drawings, numbers, or words.
Equation:
Equation:
Priya collects comic books.
She gets 3 new comic books.
Now she has 13.
How many comic books did she have to start?
Show your thinking using drawings, numbers, or words.
Equation:
Equation:
Activity Synthesis
Invite previously identified students to share their equations for Priya’s problem.
If no student writes a subtraction equation, display .
“How do the equations match the story problem? How are they related to each other?” (They show that the total number of comic books is 13 and that 3 is one part and 10 is the other part. They all show that 10 is the unknown number. The subtraction equation takes 3 away from the 13 to find the other part. The addition equation adds 3 to some number to get 13.)
“Which equation makes more sense to you? Why?” (Addition, because I know that to get from 3 to 13, I have to add 10. Subtraction, because I know what number to start with and how many to take away. I don't know both numbers to add in the addition equation.)
Activity 2
15 mins
Related Equations
Standards Alignment
Building On
Addressing
1.NBT.2.b
The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones.
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 8 + ? = 11, 5 = _ - 3, 6 + 6 = _.
The purpose of this activity is for students to discuss the relationship between addition and subtraction equations involving teen numbers. Students find the value that makes the addition and subtraction equations true with the unknown in all positions. Students may choose to use objects to represent the problems and find the value that makes the equation true (MP5).
Action and Expression: Internalize Executive Functions. Invite students to plan a method, including the tools they will use, for finding the unknown value. If time allows, invite students to share their plan with a partner before they begin. Supports accessibility for: Organization, Attention
Launch
Groups of 2
Give students access to double 10-frames and connecting cubes or two-color counters.
Read the problem about Mai.
“What does Mai mean?” (16 is 10 and some more ones. Mai can think about 10 and some ones as 16.)
30 seconds: quiet think time
1 minute: partner discussion
Share responses.
Activity
Read the Task Statement.
4 minutes: independent work time
4 minutes: partner discussion
Student Task Statement
Mai is finding the unknown number in .
She says, “I can use what I know about 10 and some ones to help.”
What does Mai mean?
Find the number that makes each equation true.
Show your thinking using drawings, numbers, or words.
Activity Synthesis
Share solutions for each problem.
“How are and related?” (One is an addition problem and one is a subtraction problem, but you can use addition or subtraction for either one. For , you can subtract or change it to . For , you can add or change it to . Both have an unknown value of 10.)
Lesson Synthesis
Display 17 on a double 10-frame.
Display . “Today we solved problems and completed equations with 10 and some more. We saw that sometimes we can use addition to help us with subtraction. How can using addition help you find the number that makes this equation true?” (I know that , so the unknown number is 17.)
Display . “How can using subtraction help you find the number that makes this equation true?” (I show 17 on the 10-frames and see that there’s 10 and 7 more. If I take away the 10, there’s 7 left.)
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Help us improve by sharing suggestions or reporting issues.
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 - 4 = 13 - 3 - 1 = 10 - 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 - 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).