Skip to Main Content

Regrouping

Lesson Plan

Regrouping

Objectives

Students will develop strategies for regrouping numbers using base-ten blocks. Students will:

  • use their understanding of making ten and twenty to add to and subtract from decade numbers.
  • decompose numbers 1–10 to help them reach decade numbers.

Essential Questions

How are relationships represented mathematically?
How can mathematics support effective communication?
How can recognizing repetition or regularity assist in solving problems more efficiently?
How is mathematics used to quantify, compare, represent, and model numbers?
What does it mean to estimate or analyze numerical quantities?
What makes a tool and/or strategy appropriate for a given task?
  • What makes a tool/strategy appropriate for a given task?
  • How are relationships represented mathematically?

Vocabulary

  • Decompose: Breaking numbers apart (subtraction).
  • Making Ten: Combinations of 10: 9+1, 8+2, 7+3, etc.

Duration

60 minutes

Prerequisite Skills

Prerequisite Skills haven't been entered into the lesson plan.

Materials

Related Unit and Lesson Plans

Related Materials & Resources

The possible inclusion of commercial websites below is not an implied endorsement of their products, which are not free, and are not required for this lesson plan.

Formative Assessment

  • View
    • Observations during small-group work, student interaction, and whole-class discussion will serve to assess student progress.
    • Regrouping Math worksheet (M-1-2-1_Regrouping Math and KEY.docx) can be used to assess student understanding.

Suggested Instructional Supports

  • View
    Scaffolding, Active Engagement, Modeling, Explicit Instruction
    W: Show students a set of base-ten blocks and ask them to share with their math partner everything they know about the blocks.  
    H: Tell students they will be using the blocks to add one-digit and two-digit numbers.  
    E: Previous experience with structures to 10 and 20 will help. Go over the combinations and partitions of 10 and 20, and ask students how that helps them with larger decade numbers.  
    R: Allow students to work in pairs during the class discussion/exploration as well as during their independent practice.  
    E: Choose groups with good understanding to share at the end.  
    T: Give students a similar activity, daily or frequently, to mentally solve for a given goal number. If students need more practice, they can work in small groups, using base-ten frames and cubes to make 10 before jumping to larger decades.  
    O: This lesson is designed for students to recognize place value and understand how to decompose numbers 2–9.  

Instructional Procedures

  • View

    “These are called base-ten blocks.” Have a student count the number of cubes in one of the 10s. Then lead the student to say there are 10 ones/cubes in each of the 10s. Demonstrate on an overhead or document camera how 10 ones is the same as one 10. 

    “If I had 6 ones and 3 ones, how many would I have all together?” Ask for ideas from students. “If I had 6 ones and 4 ones, how many would I have all together?” Have students discuss. Let someone share who brings up that you can have 10 ones, or one 10. Then ask, “If I had 6 ones and I added 6 more ones, how many would I have all together?” Have partners discuss, and then call on a few who mentioned different ideas. One example would be that you could trade 6 ones and 4 ones in for a 10; then you would still have 2 extra ones. Write out a number sentence to show the class 6 + 4 = 10, so there is one ten and two ones.

    Repeat this process with a larger decade number. “If I had 1 ten and 8 ones, how many cubes would I have?” Ask for the class to answer together. “How many would I have if I added 4 more ones?” Have partners discuss, and then call one a few who mentioned different ideas. One possible answer would be, “I could combine the 8 ones and 2 ones to make another ten; then I’d have two extra ones. So I’d have 22.” 

    Repeat this process until most students seem to have a good understanding of regrouping.

    Pass out copies of the Regrouping Math worksheet (M-1-2-1_Regrouping Math and KEY.docx).

    Allow students to work in pairs to discuss the strategies they use to regroup the ones into tens. Have actual base-ten blocks available for students who need (or would like) them. Watch for those who have trouble when regrouping into 100. 

    After students are finished with the sheet, call the class together. Choose a few of the problems that students had more trouble with. Choose one or two pairs to share strategies for each one. 

    Extension:

    Use the activities and strategies listed below to meet the needs of your students during the year.

    • Routine: As a calendar routine, students can build the number for the date using base-ten blocks. You could ask “How many will we have four days from now?
    • Small Group: Students who might need opportunities for additional learning may need Unifix cubes to start with, as they are easily manipulated. Cubes should be in towers of 10 with 5 each of two different colors. That way if students have two towers of 10 and 5 red and 1 blue, they can see they would need 4 more blue to have another 10. If they had 2 towers of 10 and 3 red, then they could see they would need 2 red and 5 blue for a total of 7 cubes to have another 10.
    • Expansion: Students who are ready can practice subtracting one-digit numbers from two-digit numbers using the base-ten blocks. Again, you may need to have some tens made up of 10 ones already put together so they can be easily manipulated.

Related Instructional Videos

Note: Video playback may not work on all devices.
Instructional videos haven't been assigned to the lesson plan.
Final 4/27/14
Loading
Please wait...