Illuminations: Let's Learn Those Facts

Let's Learn Those Facts


Addend Pairs to 12

Students practice their addition facts for sums up to 12 by playing a game. They add to their personal addition charts. Students are encouraged to practice the facts that they have not yet mastered. Finally, triangular flash cards help students practice addition facts.

Learning Objectives

 
Students will:
  • practice addition facts up to 12
  • create a learning tool for memorizing the rest of the addition facts

Materials

 
Counters
Number cubes
Paper
Markers
Index cards
Scissors
Cover Up Activity Sheet
Facts I Know Activity Sheet

Instructional Plan

Put students in pairs, and provide them with two number cubes and a game board for Cover Up.
Cover Up
To play the game:

  1. Each student chooses a section of the game board.
  2. When it is your turn, roll the two number cubes and find the sum of the two numbers that come up.
  3. Cover up the number on your part of the board for that sum, if it's not yet covered up.
  4. Then, it's the other player's turn.
  5. The first students to cover up all 11 numbers is the winner.
  6. When one student wins, the pair should remove all the counters and play again.

 

After the class has played for several minutes, ask them to return to their seats and take out their personal addition charts. Ask them to add any addition facts of which they are sure to the chart.

Continue the lesson by having each student review his or her copy of the Facts I Know Activity Sheet, adding known facts as necessary. Then display a large copy of an addition chart on the board or overhead. Call on volunteers to come to the front and circle one fact that they have studied so far.

When the students have circled all the facts that they have studied, direct their attention to the facts that are left:

4 + 9
5 + 8, 5 + 9
6 + 7, 6 + 8, 6 + 9
7 + 6, 7 + 8, 7 + 9
8 + 5, 8 + 6, 8 + 7, 8 + 9
9 + 4, 9 + 5, 9 + 6, 9 + 7, and 9 + 8

Ask the class what they know that will help them learn fewer than 18 facts. Encourage them to remember the commutative property.

Remind the students that some of these facts belong to the doubles-plus-one group. Ask them to identify them. [These facts are 6 + 7, 7 + 8, and 8 + 9.] Now circle in another color the remaining six facts: 4 + 9, 5 + 8, 5 + 9, 6 + 8, 6 + 9, and 7 + 9.

Place the students in pairs and assign each student three addition facts from the following: 4 + 9, 5 + 8, 5 + 9, 6 + 8, 6 + 9, 7 + 9, as a set of demonstration facts. Have the students cut two triangular shapes from each of three index cards. Demonstrate how to make a triangular flash card by putting the two addends in two of the corners and the sum in the other corner, as in the example below.

 

 

Now ask the students to make triangular fact cards for the facts they choose, then trade the cards with their partner. Ask each student to cover the sum on one card with his or her thumb, show the card to the other student, and ask him or her to tell the sum.

Conclude the lesson by asking students to be sure that they have covered both facts in a commutative pair [For example, 6 + 7 and 7 + 6]. Finally, ask them to choose two facts and make triangular flash cards for them. Encourage the students to take those two new cards and the three they made in this lesson home to practice.

Questions for Students

 

What sums can you get when you roll two number cubes? How can you get three as a sum? How can you get eleven as a sum? Seven as a sum? Eight as a sum?

[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12; 1+2; 5+6; 1+6, 2+5; 2+6, 3+5, 4+4.]

What happens when one addend is one? When one addend is zero? How can knowing this help you learn the addition facts?

[The sum is one more than the other addend; The sum is the other addend.]

What doubles can you get with number cubes?

[2, 4, 6, 8, 10, 12.]

What pairs of numbers have a sum of 12? 18? Are any of these pairs doubles? What other doubles have you studied?

[0+12, 1+11, 2+10, 3+9, 4+8, 5+7, 6+6; 0+18, 1+17, 2+16, 3+15, 4+14, 5+13, 6+12, 7+11; 8+10, 9+9; Yes, 6+6 and 9+9 are doubles.]

What pairs of numbers have a sum of 13? Of 15? Of 17?

[0+13, 1+12, 2+11, 3+10, 4+9, 5+8, 6+7; 0+15, 1+14, 2+13, 3+12, 4+11, 5+10, 6+9; 7+8; 0+17, 1+16, 2+15, 3+14, 4+13, 5+12, 6+11, 7+10, 8+9.]

Assessment Options

 
  1. The students will vary in how quickly they attain command of the addition facts at the immediate-recall level. Therefore, you may find your entries in the Class Notes recording sheet especially helpful in grouping students for remedial instruction. This information may also be helpful in deciding on appropriate homework assignments.

Teacher Reflection

 
  • Which students have only a few addition facts learned? What activities should I plan for them?
  • What extension activities are appropriate for the students who have learned all their addition facts?
  • What adjustments will I make the next time that I teach this lesson?
  • Which students are able to identify the facts they have learned? How can others be helped to achieve this goal?
  • Which students have only a few addition facts left to learn? What activities should I plan for them?

NCTM Standards and Expectations

 
Number & Operations Pre-K-2
  1. Develop and use strategies for whole-number computations, with a focus on addition and subtraction.
  2. Develop fluency with basic number combinations for addition and subtraction.
This lesson prepared by Grace M. Burton.
  
1 period   

NCTM Resources

Navigating through Number in preK‑2


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