Practise MYP Standard Mathematics questions on 1.1 Problem-solving Strategies and review the explanations to check your understanding.
Use these questions for topic practice and to find ideas you want to revisit in your notes or lessons.
The textbook uses the analogy of 'navigating a city' to describe problem solving. What does this analogy imply about having a plan?
In the 'Look Back' step, why should a student perform a 'quick estimate' of the answer?
True or False: A student who calculates an answer of for a problem asking for the probability of an event should realize this violates a constraint during the 'Look Back' step.
You are using "Systematic Guess and Check" to find two numbers that sum to and have a product of . If your first guess of and gives a product of , how should you adjust your next guess according to the strategy?
In the 'Represent and Simplify' strategy, what is the primary purpose of defining variables with specific meanings and units?
A plan gives direction and makes it easier to correct course if you get lost
Mathematics is purely about following a map provided by the teacher
A plan is only useful for people who have never visited the city before
A plan ensures you never take a wrong turn
To avoid having to use correct units
To determine if the problem was an exercise or a problem
To replace the need for carrying out the plan
To see if the exact answer is significantly different, suggesting an error
True
False
Randomly pick two other numbers that sum to to see what happens
Increase the smaller number (e.g., try and ) to bring the product closer to
Decrease the smaller number (e.g., try and ) to see if the product decreases
Switch to the "Take 1" strategy because it is better for products
To reduce clutter while maintaining the problem's mathematical structure
To prove that the relationship is linear
To calculate the final answer immediately
To ensure the student uses the 'Guess and Check' method
