This lesson is aligned to 1.NBT.C4, which asks students to add numbers within 100 using either models/drawings based on place value, properties of operations and/or the relationship between addition and subtraction. This lesson really sets kids up to be able to solve based on place value. The opening warm up and the problems all ask kids to think about how they can represent a number so that they can use it to efficiently solve story problems!
We have been working on addition and subtraction all year. They are so important because they help us figure out tricky problems in our lives. But today we are going to look at number sentences with really big numbers in them!
Great mathematicians have to be able to solve problems with big numbers! In second grade, you will solve story problems with numbers in the hundreds! The work we do today will help prepare you for that.
Today we are going to solve a problem together. Your thinking job is: How can I arrange my cubes to help me solve story problems with big numbers?
Student Work Time: Students show 4 ways of representing this number. While students work, I'll record 4 ways on my own chart paper.
I'll have students debrief each of the 4 ways I represented 24. As we go through the chart, we are focusing on how efficient it is to represent the number that way. This will help them as they think about solving problems with numbers that are bigger. If they use random cubes, it will get confusing and "clunky". This activity helps them see that!
Thinking job: I want us to figure out which representation helps us easily count the 24.
See attached image for our class chart!
Random Dots: Push students to see that you get mixed up when you count these.
24 dots in a line:
Arranged in groups of 10 dots: Push students to see that you can group count, but you have to verify that each group has 10 first.
Tens and Ones: This person drew bars of 10 cubes each. They wrote a 10 on it to show me that it has 10 inside it.
Connect to problem solving: Which one was the hardest ones to count quickly? Since that one was the most difficult, I am not going to use that strategy as I solve my problems today.
Every student may not be ready for base ten in problem solving yet. I attached a Strategy Level Guide.docx. It shows the different levels of understanding that you might see with students. It also lists some ideas for "push" questions and how you can encourage students to try more efficient strategies.
Each group will get 3 problems to solve. The last one is subtraction to make sure students are paying attention to the action of the problem. I differentiated the work based on number.
Group A: Intervention
Students get low numbers on the decade only. For example, students try 10 and 10, 20 and 10.
Group B: Right on Track
Students get numbers on the decade under 50.
Group C: Extension
Push students to use numbers that have a number in the ones place. For example, 45 and 30.
See attached story problems! I left blanks for the numbers so you can decide what numbers are best for your students!
Students come back together and do a strategy share. I will have 2 students share their work with a class and we will make a strategy anchor chart. We will post this anchor chart so students can revisit it throughout the unit. First graders need these visuals to help them revisit the strategies later-it provides a mental picture of what their peers were thinking.
See the Student Strategy Chart for the strategies we shared!