Exploring Addition Patterns
Grade Levels: 3 - 5
This lesson provides students with an opportunity to learn and use addition patterns to find sums.
- 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.
- Guided practice worksheet: Addition Patterns
- Independent practice worksheet: Practicing Addition Patterns and Properties
- Extension worksheet: Identifying Patterns
- Homework worksheet: Patterns of Additions
- Enrichment worksheet: Circus Logic
- Circus Contest
- Exploring Addition Patterns - Assessment Questions
- Introduce key vocabulary: addition, equal, sum, addends.
- 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.
- 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)
- 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).
- Distribute the guided practice worksheet: Addition Patterns and assist students as they work.
- 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.)
- 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.)
- Help students articulate the Property of Zero –when you add zero to any number, that number is the sum.
- 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.
- 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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