The problem solving template is a tool which can be used to help solve difficult problems. For this sample work you will use the problem solving template to set up and then solve the equation. Complete
each part of the template for the question and then solve the question with work shown in the "Do"
square.
Write and solve a system of linear equations. The larger of two numbers is 18 more than 5 times
the smaller. If 3 times the larger number is increased by 4 times the smaller, the result is 16.
Find the numbers by solving algebraically. Show your work including the equations.
Understand: What is being asked in the problem Think(2pts). What do I know and what does it
and what does that mean? (Questions you can mean? What plan am I going to try? (Questions
ask yourself to answer that: What is the problem? you can ask yourself to answer that: What have
What do you need to find or do? What will your they told you? What does it mean? What more
final answer look like?) (2 pts)
do you know or can you figure out? What
connections can you make? What tools,
strategies, or equations can you use?) (2pts)
DoL I will write out my thinking and work. (What I will write out my response to the
you can do to get there: Work out your
question, explaining my answer and what it
solution/response using your tools and
means. (Questions you can ask yourself to make
information that you thought through. Show sure you did your best: Look back at your work
steps towards completing the problem. Create an and Are you done? Does it make sense,
outline or map to organize your answer. Revise answer all of the questions, and is reasonable
your plan if it doesn't work the first time.) (4pts) (accurate)? How can you check it?) (2pts)