Solving Linear Equations and Operations

Mrs. Nelson introduces a sixth-grade math lesson focused on writing and solving equations using balanced hangers. The lesson includes an activity where students connect diagrams to equations and solutions. Students learn to reason about weights using both diagrams and equations, ensuring balance by applying mathematical operations. The video emphasizes understanding the relationship between different weights and solving for unknowns.

What is the main objective of this lesson?

• To learn about fractions

• To study algebraic expressions

• To understand geometry

• To write and solve equations for balanced hangers

What does a balanced hanger represent in an equation?

• The left side is greater than the right side

• The left side is equal to the right side

• The left side is less than the right side

• The left side is not related to the right side

If X + 3 = 8, what is the value of X?

• 3

• 5

• 11

• 8

In the equation 12 = 2Y, what is the value of Y?

• 12

• 6

• 24

• 3

How many Z's are equal to 11 in the balanced hanger C?

• 5

• 4

• 2

• 3

What is the value of W if 13 and 4/5 is balanced with W and 3 and 4/5?

• 8

• 9

• 10

• 11

How do you determine the weight of a piece labeled with a letter using diagrams?

• By guessing

• By reasoning about the parts

• By measuring

• By using a calculator

What is the value of Z if 11 is divided into four equal parts?

• 2

• 2.5

• 3

• 2.75

What is the value of X in the equation X + 3 = 8?

• 3

• 5

• 11

• 8

What is the value of W if 13 and 4/5 is balanced with W and 3 and 4/5?

• 10

• 8

• 11

• 9