To reinforce students' understanding of the properties of operations, a first-grade teacher writes the number sentences shown on the board. 7 + 8 = 15, 8 + 7 = 15, 15 - 8 = 7, 15 - 7 = 8. The activity reinforces students' understanding of which TWO of the following?
The inverse relationship of addition and subtraction and the commutative property of addition are reinforced by the number sentences.
These number sentences illustrate how addition and subtraction are interconnected, demonstrating their inverse relationship, as well as how the order of addends does not affect the sum, showcasing the commutative property.
This choice is correct because the number sentences show how addition and subtraction are related inversely. For instance, in the equations 7 + 8 = 15 and 15 - 8 = 7, the addition of 8 to 7 results in 15, while subtracting 8 from 15 returns to the original number, 7, highlighting this fundamental relationship.
This choice is also correct as it illustrates that the sum remains the same regardless of the order of the addends. Both 7 + 8 and 8 + 7 equal 15, exemplifying the commutative property of addition, which emphasizes that changing the order of numbers does not change the result.
This option is incorrect because the identity property typically refers to addition, where adding zero to a number does not change its value. Subtraction does not have an identity element in the same way, as shown in the provided number sentences, making this option irrelevant to the given examples.
This choice is also incorrect, as the associative property pertains to the grouping of numbers in addition. The provided number sentences do not illustrate how changing the grouping of addends (e.g., (7 + 8) + 0 = 7 + (8 + 0)) affects the sum. The focus here is solely on the order of the addends and the relationship between addition and subtraction.
The teacher's activity reinforces students' understanding of both the inverse relationship of addition and subtraction and the commutative property of addition through the provided number sentences. These principles are foundational in arithmetic, helping students grasp how operations interact while reinforcing their calculation skills.
Related Questions
View allA third-grade teacher engages students in a hands-on activity involvin...
Which of the following is most closely associated with the phenomenon...
First- and second-grade students are looking at posters used to promot...
A first-grade teacher shows students a storybook and asks the question...
The chances are few and far between ? 2. The chances are rare. The rev...
Related Quizzes
View allPraxis 5001 Test with Answers
Praxis 5002 Study Guide
5002 Praxis Practice Test
Reading & Language Arts Praxis 5002
Praxis 5002 Reading and Language Arts Exam
Praxis 5003 Exam with Outline
5003 Praxis Math Answers
Praxis 5003 Study Guide
Praxis Social Studies 5004
Praxis 5004 Social Studies
- ✓ 500+ Practice Questions
- ✓ Detailed Explanations
- ✓ Progress Analytics
- ✓ Exam Simulations