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Dating and Word problems. 1.3 Models and Applications. The 4 Step Plan to solving problems. Understand the problem Devise a plan Carry out the plan Look back and check. Problem 1.
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Dating and Word problems 1.3 Models and Applications
The 4 Step Plan to solving problems • Understand the problem • Devise a plan • Carry out the plan • Look back and check
Problem 1 • The larger of two numbers is 5 more than twice the smaller. If the smaller is subtracted from the larger, the result is 12. Find the numbers.
The larger of two numbers is 5 more than twice the smaller. If the smaller is subtracted from the larger, the result is 12. Find the numbers. • Step 1 -Understand the problem- • Read the problem carefully • Assign variables Number of Unknowns = Number of Variables
The larger of two numbers is 5 more than twice the smaller. If the smaller is subtracted from the larger, the result is 12. Find the numbers. • Step 2- Translate (devise a plan) • Build Equations • Number of Unknowns = Number of Variables= Number of Equations
The larger of two numbers is 5 more than twice the smaller. If the smaller is subtracted from the larger, the result is 12. Find the numbers. • Step 3- Carry out the plan • ACTION! WORK THE PROBELM
The larger of two numbers is 5 more than twice the smaller. If the smaller is subtracted from the larger, the result is 12. Find the numbers. • Step 4 – Check • Pug in and check your answers!
Problem 2 • Joe wants to take his girl Sally for a hot date on Friday night. Joe wants to take her to eat at the local Sonic Drive In, and see the late night showing of Twilight. Joe has no money, several zits, and hasn’t asked Sally yet. What should Joe do?
What should Joe Do? Step 4 Step 2 Step 1 • Did it work? • Devise a plan, translate • Understand Step 3 • ACTION
Example 1 • The average salary for computer programmers is $7740 less than twice the average salary for carpenters. Combined their average salaries are $99,000. Determine the average salary for each of these jobs.
Example 2 • After a 20% reduction ,you purchase a television for $336.00. What is the televisions price before the reduction?
Step one • Decide on two separate topics. • 1. Ninjas • 2. Shopping
Step 3 • Come up with a problem between these two topics.
Step 3 • Add numbers to the problem
Step 4 • Put together and solve