Presentation Transcript
Problem SolvingDraw a Diagram: Problem Solving Draw a Diagram by Monica Yuskaitis
Problem Solving is easy if you follow these steps: Problem Solving is easy if you follow these steps Understand
the
problem
Step 1 – Understand the problem: Step 1 – Understand the problem Read the problem carefully.
Find the important information.
Write down the numbers.
Identify what the problem wants you to solve.
Ask if your answer is going to be a larger or smaller number compared to what you already know.
Step 1 - Understand the ProblemRead the problem carefully.: Step 1 - Understand the Problem Read the problem carefully. A Girl Scout troop went on a hike. First they walked 1 mile east, then 2 miles south, then 3 miles west, and 1 mile north, then 2 miles east. How far is the troop from their starting point?
Step 1 - Understand the ProblemFind the important information.: Step 1 - Understand the Problem Find the important information. A Girl Scout troop went on a hike.
First they walked 1 mile east, then
2 miles south, then 3 miles west,
and 1 mile north, then 2 miles east.
How far is the troop from their
starting point?
Step 1 - Understand the ProblemWrite down the key information.: Step 1 - Understand the Problem Write down the key information. A Girl Scout troop went on a hike.
First they walked 1 mile east, then
2 miles south, then 3 miles west,
and 1 mile north, then 2 miles east.
How far is the troop from their
starting point?
Step 1 - Understand the ProblemWrite down the key information.: Step 1 - Understand the Problem Write down the key information. 1 mile east,
2 miles south,
3 miles west,
1 mile north,
2 miles east
Step 1 - Understand the ProblemIdentify what the problem wants you to solve.: Step 1 - Understand the Problem Identify what the problem wants you to solve. A Girl Scout troop went on a hike. First they walked 1 mile east, then 2 miles south, then 3 miles west, and 1 mile north, then 2 miles east. How far is the troop from their starting point?
Problem Solving is easy if you follow these steps: Problem Solving is easy if you follow these steps Decide how
you’re going to
solve the
problem
Step 2 - Decide how you’re going to solve the problemChoose a method: Step 2 - Decide how you’re going to solve the problem Choose a method Use a graph Use formulas
Write an equation Make a list
Find a pattern Work backwards
Use reasoning Draw a diagram
Make a table Act it out
Step 2 - Decide how you’re going to solve the problemMake your diagram: Step 2 - Decide how you’re going to solve the problem Make your diagram N E S
W
start 1 mile finish
Problem Solving is easy if you follow these steps: Problem Solving is easy if you follow these steps Solve
The
Problem
Step 3 - Solve the problem: Step 3 - Solve the problem N E S
W
start 1 mile finish Measure the distance between the start
and the finish andamp; compare it to the mile.
Problem Solving is easy if you follow these steps: Problem Solving is easy if you follow these steps Look
Back andamp;
Check
Step 4 - Look Back & CheckReread the problem: Step 4 - Look Back andamp; Check Reread the problem A Girl Scout troop went on a hike.
First they walked 1 mile east, then
2 miles south, then 3 miles west,
and 1 mile north, then 2 miles east.
How far is the troop from their
starting point?
Step 4 - Look Back & CheckCompare the information from the problem to your work.: Step 4 - Look Back andamp; Check Compare the information from the problem to your work. N E S
W
start 1 mile finish 1 mile east,
2 miles south,
3 miles west,
1 mile north,
2 miles east
Step 4 - Look Back & CheckDid you solve what the problem asked you to solve?: Step 4 - Look Back andamp; Check Did you solve what the problem asked you to solve? N E S
W
start 1 mile finish 1 mile east,
2 miles south,
3 miles west,
1 mile north,
2 miles east How far is the troop from their starting point? one mile
Draw a diagram to solve this problem.: Draw a diagram to solve this problem. A picture frame with a photo is 15 inches wide and 12 inches high. A mat around the photo is 1 ½ inches wide on all sides. What are the dimensions of the photo? 15 12 1 ½ 1 ½ 1 ½ 1 ½
Slide19: 15' 12' 1 ½ 1 ½ 1 ½ 1 ½ Step 1 – Add the two mat edges together. 1 ½
1 ½
+ 2/2
2 Step 2 – Convert the 2/2 into 1 and add
this to the whole number 2.
Slide20: 15' 12' 1 ½ 1 ½ 1 ½ 1 ½ 1 ½
1 ½
+ 1 3 Step 2 – Convert the 2/2 into 1 and add
this to the whole number 2.
Slide21: 15' 12' 1 ½ 1 ½ 1 ½ 1 ½ 15
3
- 12 Step 3 – To get the width of the photo
subtract the 3 from 15.
Slide22: 15' 12' 1 ½ 1 ½ 1 ½ 1 ½ 12
3
- 9 Step 4 – To get the height of the photo
subtract the 3 from 12.
Slide23: 12' 9' 1 ½ 1 ½ 1 ½ 1 ½ 12
3
+ 15 Step 5 – Your photo size is 12 x 9 inches.
To check your work, add 2 times the mat
width to each of your new measurements. 9
3
+ 12
Draw a diagram to solve this problem.: Draw a diagram to solve this problem. The Zunigas, Estoleros, Leys, Penas and Rices all live on the same road in a row. The Estoleros live in the middle house. The Penas live in the first house. The Leys live between the Estoleros and the Zunigas. Who lives in the second house? E P Z L R