Exploring Addition Patterns

Grade Levels: 3 - 5

Overview

This lesson provides students with an opportunity to learn and use addition patterns to find sums.

Objectives

  • Students will use basic addition facts and place-value patterns to add greater numbers.
  • Students will understand and use the Order Property of Addition and the Zero Property of Addition.

Materials

Procedure

  1. Introduce key vocabulary: addition, equal, sum, addends.

  2. Review place value. Write the numbers 70, 530, 4, and 2,691 on the chalkboard in the form of a chart like the one below. Ask students to name which number is in the thousands place, hundreds place, tens place, and ones place.

Number

Thousands

Hundreds

Tens

Ones

70

0

0

7

0

530

0

5

3

0

4

0

0

0

4

2, 691

2

6

9

1

  1. Have students use mental math to find each sum.

    4 + 3 = (7)

    40 + 30 = (70)

    400 + 300 = (700)

    5 + 7 = (12)

    50 + 70 = (120)

    500 + 700 = (1,200)

    9 + 4 = (13)

    90 + 40 = (130)

    900 + 400 = (1,300)

  2. Discuss the patterns. Students should see the basic addition fact (4 + 3 = 7), and understand that greater sums are similar because the digits on the left are the same. Only the number of zeros to the right varies. (4 tens + 3 tens = 7 tens. 4 hundreds + 3 hundreds = 7 hundreds).

  3. Distribute the guided practice worksheet: Addition Patterns and assist students as they work.

  4. Have students look carefully at problems 4 and 8. Ask:
    • What is the same about the two equations? (They have the same sums.)
    • What is different? (The order of addends is different.)

  5. Help students postulate the Order Property of Addition: changing the order of the addends does not change the sum. Have students look carefully at Exercises 9 and 10. Ask:

    • What would happen if you added 0 ones to 8 ones? (You would still have 8 ones.)
    • What if you added 5 ones to 0 ones? (5 ones)
    • Ask students what effect adding zero has. (None -- the sum is the same as the non-zero addend.)


  6. Help students articulate the Property of Zero when you add zero to any number, that number is the sum.

Assessment

  • Have students answer the Assessment Questions to gauge their understanding of patterns and properties of addition.
  • Students should be able to:
  • Use addition patterns in finding sums.
  • Recognize place-value patterns and know that basic addition facts can help when adding greater numbers.
  • Demonstrate how to use the Order Property and the Property of Zero.

Extension

  • Use the extension worksheet: Identifying Patterns, to build on the ideas presented in this lesson.
  • Distribute the homework worksheet: Patterns of Addition, and have students complete it. You may want to go over the answers as part of a class discussion.
  • Divide students into groups of two. Distribute the enrichment worksheet: Circus Logic, and have partners work together. Discuss the answers as a class. If time permits, challenge students to create their own logic puzzles.
  • Visit Funbrain for more Math games.

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