Library Book Problem Solving

In this lesson, students explore multistep problems using tape diagrams and algebraic equations. The teacher guides students through understanding, setting up, and solving equations to determine the number of different types of books in a library. The lesson emphasizes breaking down word problems, using consistent variables, and verifying solutions. A practice problem is provided to reinforce the concepts learned.

What is the primary purpose of using models and pictures in solving multi-step problems?

• To reduce the time taken to solve the problem

• To make the problems more visually appealing

• To understand the problem conceptually before solving it

• To avoid using algebraic methods

In the librarian's problem, what is the relationship between fiction and resource books?

• Fiction books are twice the number of resource books

• Fiction books are four times the number of resource books

• Fiction books are equal to the number of resource books

• Fiction books are half the number of resource books

What is the first step in solving the librarian's book problem using tape diagrams?

• Draw a tape diagram for the total number of books

• Determine the number of non-fiction books

• Calculate the total number of books

• Identify the number of fiction books

How do you represent the number of fiction books algebraically if R is the number of resource books?

• R + 4

• 4R

• R/4

• R - 4

What is the significance of finding the value of R in the problem?

• It represents the total number of books

• It helps in determining the number of fiction books

• It is used to calculate the number of non-fiction books

• It represents the number of resource books

What is the total number of books in the library according to the problem?

• 1,200

• 1,400

• 1,600

• 1,800

Which method is used to simplify the problem after finding the value of R?

• Using a calculator

• Drawing more tape diagrams

• Using algebraic equations

• Guess and check method

In the alternative method, what is the purpose of using ratio tables?

• To make the problem more complex

• To avoid using algebra

• To simplify the problem-solving process

• To check the accuracy of the solution

What is the relationship between soccer and lacrosse in the new school sport problem?

• Soccer is double the number of lacrosse

• Soccer is triple the number of lacrosse

• Soccer is equal to the number of lacrosse

• Soccer is half the number of lacrosse

How many students completed the survey in the new school sport problem?

• 600

• 500

• 400

• 343