Combinations of 10 Lesson 2
Use cubes to model combinations of ten; explore the different addend pairs, and play a card game to apply their understanding.
For each student:
ELL Accommodations: Teachers will need to frontload vocabulary. (addend, sum, combination, array, number sentence, arrangement, represent)
To begin the lesson, use 10 connecting cubes of the same color (example below- red), model the number 10 by making 2 towers of 5. Ask students, "How many cubes are there"? [10.] How many red cubes are there? [10.]. "Can you tell me how you know there are 10 cubes?" [Sample answer: "I see 5 and 5 and that makes 10."]
Then introduce a second color (blue). Tell the class you are replacing 3 red cubes with 3 blue cubes as you make the change. Ask, "How many red cubes are there now?" . "How do you know?" [Sample answer: "I know that 10 -3=7 so 7 red."]
Ask, "How many blue cubes? [3.] How many total cubes?" . "How do you know there are 10 in all?" [Answers will vary.] [MP4]
Display the Making Tens Activity Sheet. Mark the ten-frame with "R" and "B" to show the placement of the blocks you just arranged. Write 8 + 2 = 10 on the line beneath the 10 frame. Demonstrate how the ten-frame could be turned 90 degrees to represent the same combination of blocks. Repeat the activity with another combination of addends to 10. [MP7]
Distribute the snapping cubes and the Making Ten Frames Activity Sheet. Explain to students that they will be making different arrangements of the two colors of cubes that add to 10. The students can use the activity sheet as a template for arranging the cubes in 2 columns. They will write an equation beneath each arrangement. Refer back to the teacher example if necessary. [MP7]
Accommodation: Students that need more examples can stay with the teacher.
Observe students as they begin working, and ask them how they know they have different combinations of 10. Be aware of students who might be using an incorrect total number of cubes. If a student asks for another activity sheet, have him or her check the number sentences to see if any addends were repeated. If this occurs, it is a good opportunity to point out that, for example, 7 + 3 has the same sum as 3 + 7. Note that all combinations in this activity will inherently have the same sum. Because students are using different colored cubes, expecting students to show the commutative aspect of the combinations would be a strength for this activity. [MP7]
When students are finished, have them share their ten frames with the rest of the class. Some students might not have all of the same color cubes touching, or might alternate colors. Have students discuss whether these models represent the number sentences in the same way as those that show the cubes touching. Ask students how they know it is the same or why they think it is not. Discuss the different methods students are using, why they are or are not viable, etc. If no student has used 0 as an addend, ask students how they would represent the original arrangement of 10 red cubes.[MP4]
Making Tens Concentration:
Students play the card game Making Tens Concentration to practice identifying addends that sum to 10. To play, groups of 2 to 4 players need a deck of cards with the 10s and face cards removed. The players make a 2 × 5 array of the playing cards, with the numbers face down. Extra cards are placed in a pile to replace those that are removed during play. The first player flips over 2 cards from the array. If the sum is not 10, the 2 cards are replaced face-down into the array and the next player takes a turn. If the sum is 10, the player keeps the 2 cards, replaces them with cards from the extra card pile, and turns over 2 more cards in the array. Players continue to play, filling the array with extra cards until 1 player possesses all addend pairs of 10. That player is the winner.
Differentiation: If students find combining cards and identifying sums difficult have them model the addition using linking cubes.
As the students are playing the game, circulate and look for how each child is making a combination of ten. Use the Student Data Chart (downloadable from Materials section above) to record your observations. This chart can be used throughout these lessons to know which students need extra help and also the students that need enrichment.
Double ten-frames could be used to find combinations of numbers to 20.
Accommodation: Students who struggle and need more practice (tier 3 instruction) might benefit from the kindergarten ARC, "Counting Strategies to 10".
Leave your thoughts in the comments below.
Ten-Frame Game: Activity 1: How Many?
Using macaroni, students model combinations through 10 and record a written expression.
Students use ten-frames to model combinations of ten. They explore the different addend pairs, and play a game to apply their understanding.
Students explore multiple ways to make ten with tens frames and drawings, with a final project of a class book.
The title at the top reads Making Tens with Mac and Cheese however it should say....Making Tens: Finding Addends with Sums to Ten
CCSS, Content Standards to specific grade/standard
CCSS, Standards for Mathematical Practices
PtA, highlighted Effective Teaching Practice and/or Guiding Principle CCSS