problem solving find a pattern by monica yuskaitis 3 rd grade
TRANSCRIPT
Problem SolvingFind a Pattern
by Monica Yuskaitis
3rd Grade
Copyright © 2000 by Monica Yuskaitis
California Standard Addressed
1.1 Analyze problems by identifying1.1 Analyze problems by identifyingrelationships…prioritizing information,relationships…prioritizing information,
and observing patterns.and observing patterns.
MathMath
ReasoningReasoningThirdThird
GradeGrade
Copyright © 2000 by Monica Yuskaitis
California Standard Addressed
2.2 Apply strategies & results from2.2 Apply strategies & results fromsimpler problems to more complexsimpler problems to more complex
problems.problems.
MathMath
ReasoningReasoningThirdThird
GradeGrade
Copyright © 2000 by Monica Yuskaitis
California Standard Addressed
2.3 Use a variety of methods such 2.3 Use a variety of methods such as…symbols, diagrams & models toas…symbols, diagrams & models to
explain mathematical reasoning.explain mathematical reasoning.
MathMath
ReasoningReasoningThirdThird
GradeGrade
Copyright © 2000 by Monica Yuskaitis
Objective
• To be able to solve problems using the “find a pattern” strategy.
Copyright © 2000 by Monica Yuskaitis
Problem Solving is easy if you follow these steps
Understandthe
problem
Copyright © 2000 by Monica Yuskaitis
Step 1 – Understand the problem
• Read the problem carefully.
• Find the important information.
• Look for patterns.
• Identify what the problem wants you to solve.
Copyright © 2000 by Monica Yuskaitis
Step 1 - Understand the Problem
• Jose’s friend Juan lives in a duplex at 17A Roeding Ave. Jose is going to visit Juan. Here is a map of Juan’s block. Find where Juan lives.
A B A B A B A B
A B A B A B A B10 12 14 16
11 13 15 17Roeding Ave.
Read the problem carefully.
Copyright © 2000 by Monica Yuskaitis
Step 1 - Understand the Problem
• Jose’s friend Juan lives in a duplex at 17A Roeding Ave. Jose is going to visit Juan. Here is a map of Juan’s block. Find where Juan lives.
A B A B A B A B
A B A B A B A B10 12 14 16
11 13 15 17Roeding Ave.
Find the important information.
Copyright © 2000 by Monica Yuskaitis
Step 1 - Understand the Problem
• Jose’s friend Juan lives in a duplex at 17A Roeding Ave. Jose is going to visit Juan. Here is a map of Juan’s block. Find where Juan lives.
A B A B A B A B
A B A B A B A B10 12 14 16
11 13 15 17Roeding Ave.
Write down the key information.
Copyright © 2000 by Monica Yuskaitis
Step 1 - Understand the ProblemWrite down the key information.
17A Roeding Ave
A B A B A B A B
A B A B A B A B10 12 14 16
11 13 15 17Roeding Ave.
Copyright © 2000 by Monica Yuskaitis
Step 1 - Understand the Problem
• Jose’s friend Juan lives in a duplex at 17A Roeding Ave. Jose is going to visit Juan. Here is a map of Juan’s block. Find where Juan lives.
A B A B A B A B
A B A B A B A B10 12 14 16
11 13 15 17Roeding Ave.
Identify what the problem wants you to solve.
Copyright © 2000 by Monica Yuskaitis
Problem Solving is easy if you follow these steps
Decide howyou’re
going to solve theproblem
Copyright © 2000 by Monica Yuskaitis
Step 2 - Decide how you’re going to solve the problem
Use a graph Use formulasWrite an equation Make a listFind a pattern Work backwardsUse reasoning Draw a pictureMake a table Act it out
Choose a method
Copyright © 2000 by Monica Yuskaitis
17A Roeding Ave
A B A B A B A B
A B A B A B A B10 12 14 16
11 13 15 17Roeding Ave.
Step 2 - Decide how you’re going to solve the problemLook for the patternBy twos
evennumbers
By twosodd
numbers
Copyright © 2000 by Monica Yuskaitis
Problem Solving is easy if you follow these steps
Solve The
Problem
Copyright © 2000 by Monica Yuskaitis
17A Roeding Ave.
A B A B A B A B
A B A B A B A B10 12 14 16
11 13 15 17Roeding Ave.
Step 3 - Solve the problemFind Juan’s house.You
know 17is odd.
Youknow he
lives in A.
Copyright © 2000 by Monica Yuskaitis
Problem Solving is easy if you follow these steps
LookBack &Check
Copyright © 2000 by Monica Yuskaitis
• Jose’s friend Juan lives in a duplex at 17A Roeding Ave. Jose is going to visit Juan. Here is a map of Juan’s block. Find where Juan lives.
A B A B A B A B
A B A B A B A B10 12 14 16
11 13 15 17Roeding Ave.
Step 4 - Look Back & CheckReread the problem
Copyright © 2000 by Monica Yuskaitis
• Jose’s friend Juan lives in a duplex at 17A Roeding Ave. Jose is going to visit Juan. Here is a map of Juan’s block. Find where Juan lives.
A B A B A B A B
A B A B A B A B10 12 14 16
11 13 15 17Roeding Ave.
Step 4 - Look Back & CheckCompare your answer to the problem
Copyright © 2000 by Monica Yuskaitis
• Jose’s friend Juan lives in a duplex at 17A Roeding Ave. Jose is going to visit Juan. Here is a map of Juan’s block. Find where Juan lives.
A B A B A B A B
A B A B A B A B10 12 14 16
11 13 15 17Roeding Ave.
Step 4 - Look Back & CheckDid you solve what the problem asked?
Yes!
Copyright © 2000 by Monica Yuskaitis
Solve this problem
• What shape continues the pattern?
Copyright © 2000 by Monica Yuskaitis
Solve this problem• What are the next 2 numbers?
$4.25, $4.50, $4.75, $5.00
$5.25, $5.50
Copyright © 2000 by Monica Yuskaitis
Solve this problem• What will the next set of blocks look like?
Copyright © 2000 by Monica Yuskaitis
Solve this problem• Answer
Copyright © 2000 by Monica Yuskaitis
Credits Illustrations from:
• Clipart from ClickArt 125,000 Deluxe Image Pak, T/Maker Co., Broderbund Software, Inc.