Modeling Integers on the Number Line

This Grade 7 math lesson focuses on using a number line to model the addition of integers. The teacher explains how to correctly represent the equation 4 + -7 + 5 = 2 using arrows on a number line. Initially, the model is incorrect, and the teacher demonstrates how to correct it by starting at zero, moving right for positive numbers, and left for negative numbers. The lesson emphasizes the importance of starting each new arrow where the previous one ended to accurately model integer addition.

What is the main focus of this lesson in Common Core Math?

• Solving equations using algebraic methods

• Using the number line to model the addition of integers

• Using the number line to model subtraction of integers

• Understanding fractions and decimals

What is the equation being modeled in the problem statement?

• 7 + 4 + -5 = 6

• 4 + 5 + -7 = 2

• 4 + -7 + 5 = 2

• 4 + 7 + 5 = 16

Where does the modeling of the first number, positive 4, begin on the number line?

• At 2

• At 0

• At -4

• At 4

In which direction do you move on the number line for a positive number?

• To the right

• Downwards

• Upwards

• To the left

Where should the second arrow for -7 start on the number line?

• At 4

• At 7

• At 0

• At -7

How many units do you move to the left to model -7?

• 4 units

• 5 units

• 6 units

• 7 units

Where does the modeling of the third number, positive 5, begin on the number line?

• At 0

• At 5

• At -3

• At 2

In which direction do you move on the number line for a negative number?

• Downwards

• Upwards

• To the right

• To the left

What is the final result of the equation 4 + -7 + 5 on the number line?

• 0

• 1

• 2

• 3

What is the correct way to model the equation 4 + -7 + 5 on a number line?

• Start at 0, move 7 right, 4 left, 5 right

• Start at 0, move 5 right, 7 left, 4 right

• Start at 0, move 4 right, 7 left, 5 right

• Start at 0, move 4 left, 7 right, 5 left