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Understanding Equal Groups as Multiplication in Third Grade Mathematics

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markku
11 diapositives · 251 Views · Jul 26, 2014

This lesson focuses on helping third-grade students understand the concept of "equal groups of" as it relates to multiplication. Through fluency practice, students will count forwards and backwards to 20 and engage in skip counting. They will solve an application problem involving a total count of students and learn how repeated addition, counting groups, and multiplication relate. Students will write multiplication sentences from equal groups, recognize patterns, and review key vocabulary. This comprehensive approach fosters a deeper understanding of multiplication.

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  1. Lesson Objective Understand“equal groups of”as multiplication.

  2. Fluency Practice Group Counting Count forward and backward to 20 Whisper Hum Think Count by twos

  3. Application Problem Read Draw Write There are 83 girls and 76 boys in the third grade. How many total students are in the third grade?

  4. Concept Development Problem 1 Materials: 12 counters per student Personal whiteboards Skip-count to find the total number of objects 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 20 10 twos 10 groups of two is 20

  5. Concept Development Problem 2 Understand how repeated addition, counting groups in unit form, and multiplication equations are alike. 2 + 2 + 2 + 2 + 2 + 2= 12 6 twos = 12 6 x 2 = 12

  6. Concept Development Problem 3 Write multiplication sentences from equal groups. 4 + 4 = 8 or 2 x 4 = 8 or 4 x 2 = 8

  7. Concept Development Look at the picture and the multiplication sentence. Check my work by writing an addition sentence and counting to find the total number of objects. 3 x 4 = 12

  8. Problem Set You have 10 minutes to complete the worksheet.

  9. Student Debrief On the first page, what did you notice about the answers to your problems? In Problem 2, how would you change the picture to show equal groups? Discuss the relationship between repeated addition and the unit form – 2 groups of three or 3 groups of two, depending on the drawing. Discuss the relationship between repeated addition, counting groups in unit form, and multiplication sentence 3 x 2 = 6. Review the new vocabulary, including efficient, number sentences, andequations.

  10. Review Lesson Objective Understand“equal groups of”as multiplication.

  11. Exit Ticket You have 3 minutes to complete the worksheet. You will have additional practice for homework.