Mathematical Problem Solving Concepts

This video tutorial for 6th-grade Unit 2 Lesson 14 covers practicing double number lines and tables to understand equivalent ratios. It introduces the 'information gap' routine, where students engage in academic conversations to solve problems collaboratively. The lesson includes comparing reading rates and solving ratio and proportion problems using tables. It concludes with a review of previous concepts and a surface area calculation of a polyhedron.

What is the main focus of the lesson introduced in the beginning?

• Learning about fractions

• Practicing double number lines and tables

• Studying geometry

• Solving algebraic equations

In the 'information gap' routine, what is the role of the student with the data card?

• To write down the solution

• To provide information to the problem student

• To solve the problem independently

• To ask questions about the problem

How do students determine who finishes their book first in the reading rates comparison?

• By asking the teacher

• By comparing the number of pages read per day

• By using a calculator

• By guessing

What is the correct price for 30 gallons of vinegar if 2 gallons cost $3?

• $90

• $30

• $45

• $60

How long will it take Lin to read a 47-page book if she reads 20 pages in 35 minutes?

• 82 minutes

• 35 minutes

• 47 minutes

• 100 minutes

What is the surface area of the polyhedron if the net consists of two triangles and three rectangles?

• 300 square inches

• 224 square inches

• 150 square inches

• 200 square inches

What is the formula for the area of a triangle?

• Base divided by height

• Base times height

• 1/2 times base times height

• Base plus height

If a train travels 30 miles in a third of an hour, how far does it travel in one hour?

• 60 miles

• 90 miles

• 30 miles

• 120 miles

How many words can Diego type in 15 minutes if he types 140 words in 4 minutes?

• 1000 words

• 700 words

• 385 words

• 525 words

What is the purpose of using tables in solving ratio problems?

• To make the problem more complex

• To visualize and calculate equivalent ratios

• To avoid using calculators

• To guess the answers