Mathematical Concepts and Problem Solving

This video tutorial covers problem-solving strategies for integer word problems, focusing on working backwards and using diagrams. It explains the order of operations (PEMDAS) and rules for adding and subtracting unlike signs. Through examples like Bob's snorkeling adventure, Tala's bank account, and a temperature change scenario, the video demonstrates how to apply these strategies. The tutorial concludes with a summary of key concepts and motivational encouragement for students to keep practicing math.

What is the first step in solving a word problem by working backwards?

• Perform calculations

• Draw a diagram

• Identify the final question

• Choose a variable

What does PEMDAS stand for?

• Parentheses, Exponents, Multiply, Divide, Add, Subtract

• Parentheses, Exponents, Multiply, Divide, Subtract, Add

• Parentheses, Exponents, Add, Subtract, Multiply, Divide

• Parentheses, Multiply, Exponents, Divide, Add, Subtract

When adding numbers with unlike signs, what should you do?

• Add the numbers directly

• Multiply the numbers

• Subtract the lesser absolute value from the greater

• Divide the numbers

In the snorkeling problem, what variable is used to represent Bob's location?

• B

• L

• D

• S

How deep is Bob after diving five times and swimming up once?

• -11 feet

• -15 feet

• -8 feet

• -9 feet

In the bank account problem, what is the original balance before transactions?

• $5

• $17

• $11

• $15

What is the final balance in the bank account after all transactions?

• $15

• $20

• $10

• $5

In the temperature problem, what was the starting temperature?

• -11 degrees

• -6 degrees

• 0 degrees

• -3 degrees

What is the absolute value of -26?

• 13

• -26

• 0

• 26

What is the additive inverse of -3?

• 6

• 0

• -3

• 3