This lesson teaches how to solve multi-step problems with positive and negative whole numbers using diagrams. It highlights common mistakes in problem-solving, such as not fully understanding the problem before attempting to solve it. The lesson provides a detailed example of using a diagram to solve a 'what's left' problem, illustrating how to break down a total amount into parts. A specific word problem involving Jacob's field trip expenses is solved using this method, demonstrating the practical application of diagrams in problem-solving. The lesson concludes by reinforcing the importance of understanding the problem and using diagrams effectively.

What is a common mistake students make when solving word problems?

• Ignoring the numbers in the problem

• Not using diagrams

• Rushing to solve without understanding the question

• Using a calculator for simple problems

What is the purpose of the diagram introduced in the lesson?

• To check the answers

• To add numbers quickly

• To draw pictures of the problem

• To visualize the parts of a total and solve 'what's left' problems

In the example with $16, how much money is left after giving $8 and $3 to friends?

• $8

• $10

• $5

• $3

How much money does Jacob have left after paying for museum admission?

• $12

• $26

• $38

• $0

If Jacob buys a cap and a picture, how much does each cost?

• $13

• $15

• $10

• $12

What mathematical operations are used to find the price of the cap and picture?

• Multiplication and division

• Addition and subtraction

• Subtraction and division

• Addition and multiplication

What is the total amount Jacob initially has for the field trip?

• $26

• $12

• $38

• $50

What is the first step in solving Jacob's spending problem?

• Multiply the cost of the cap by two

• Subtract the admission cost from the total money

• Add the cost of the cap and picture

• Divide the total money by the number of items

Why is it important to use diagrams in solving multi-step problems?

• They provide the exact answer

• They help visualize and break down the problem

• They make the problem look more complex

• They are required in exams

What is the key takeaway from the lesson on solving multi-step problems?

• Memorize all formulas

• Solve problems as quickly as possible

• Always use a calculator

• Focus on understanding the problem and using diagrams