Operations and Problem Solving

The video tutorial for 6th graders covers writing and solving equations with rational numbers, including fractions, decimals, and whole numbers. It begins with an introduction to the topic, followed by practical examples such as solving the cost of a soccer jersey and the length of a fruit snack using equations and bar diagrams. The tutorial also includes a problem about finding the cost of oranges. Key concepts like inverse operations and balancing equations are discussed, and students are given an assignment to practice these skills.

What types of numbers are included in rational numbers?

• Fractions, decimals, and whole numbers

• Only decimals

• Only whole numbers

• Only fractions

What is the first step in solving the soccer jersey problem?

• Guessing the cost of Ben's shirt

• Calculating the total cost

• Finding the cost of Lorena's shirt

• Setting up an equation

What was the total cost of both soccer jerseys?

• $21.25

• $24.45

• $12.50

• $11.95

What was Dario's guess for the cost of Ben's shirt?

• $12.50

• $21.25

• $11.95

• $24.45

What was the conclusion about Ben's team after solving the equation?

• Ben is on Team A

• Ben is on Team C

• Ben is not on any team

• Ben is on Team B

In Example 1, what is the total length of the fruit snack?

• 4 feet

• 2 feet

• 6 feet

• 3 feet

What method is used to solve the fruit snack problem?

• Trial and error

• Guess and check

• Graphing

• Bar diagram

What is the length of the shorter piece of the fruit snack?

• 1 and 1/4 feet

• 2 feet

• 2 and 1/4 feet

• 3 and 3/4 feet

In Example 3, how many oranges did Molly buy?

• 13

• 15

• 12

• 10

What was the total cost Molly paid for the oranges?

• $5.75

• $6.50

• $7.15

• $8.00