7 Step Problem Solving Process
7 Step Problem Solving Ppt

True problem solving as described in this paper has the potential to solve conflicts and problems constructively and creatively. Problem solving is often influenced by economic pressures, such as the quarterly profit of an organization. A whole class of problem-solving techniques focuses on altering the given problem into a simpler form that is easier to analyze. Once a solution is found to the simplified problem, fresh ideas for attacking the original problem often become clear. Word problems require problem solving strategies. And more than anything, word problems require decoding, eliminating extra information, and opportunities for students to solve for something that the question is not asking for. There are so many places for students to make errors! Promote problem solving skills with challenging math problems that encourage gifted math students to go beyond the standard math curriculum. Distance to the Hurricane A short geometry and trigonometry lesson involving a hurricane and a house. Problem solving with EYFS, Key Stage 1 and Key Stage 2 children Finding rules and describing patterns First published in 2010 Ref: PDF-EN-01.

Related Pages
Solving Word Problems Using Block Models
Heuristic Approach to Problem-Solving
Algebra Lessons

Problem Solving Strategies

The strategies used in solving word problems:

What do you know?
What do you need to know?
Draw a diagram/picture

Solution Strategies
Label Variables
Verbal Model or Logical Reasoning
Algebraic Model - Translate Verbal Model to Algebraic Model
Solve and Check.

Solving Word Problems

Step 1: Identify (What is being asked?)
Step 2: Strategize
Step 3: Write the equation(s)
Step 4: Answer the question
Step 5: Check

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Problem Solving Strategy: Guess And Check

Using the guess and check problem solving strategy to help solve math word problems.

Example:
Jamie spent $40 for an outfit. She paid for the items using $10, $5 and $1 bills. If she gave the clerk 10 bills in all, how many of each bill did she use?

Problem Solving : Make A Table And Look For A Pattern

Identify - What is the question?
Plan - What strategy will I use to solve the problem?
Solve - Carry out your plan.
Verify - Does my answer make sense?

Example:
Marcus ran a lemonade stand for 5 days. On the first day, he made $5. Every day after that he made $2 more than the previous day. How much money did Marcus made in all after 5 days?

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Find A Pattern Model (Intermediate)

In this lesson, we will look at some intermediate examples of Find a Pattern method of problem-solving strategy.

Example:
The figure shows a series of rectangles where each rectangle is bounded by 10 dots.
a) How many dots are required for 7 rectangles?
b) If the figure has 73 dots, how many rectangles would there be?

Solution:

Rectangles	Pattern	Total dots
1	10	10
2	10 + 7	17
3	10 + 14	24
4	10 + 21	31
5	10 + 28	38
6	10 + 35	45
7	10 + 42	52
8	10 + 49	59
9	10 + 56	66
10	10 + 63	73

a) The number of dots required for 7 rectangles is 52.

b) If the figure has 73 dots, there would be 10 rectangles.

Example:
Each triangle in the figure below has 3 dots. Study the pattern and find the number of dots for 7 layers of triangles.

Solution:

Layers	Pattern	Total dots
1	3	3
2	3 + 3	6
3	3 + 3 + 4	10
4	3 + 3 + 4 + 5	15
5	3 + 3 + 4 + 5 + 6	21
6	3 + 3 + 4 + 5 + 6 + 7	28
7	3 + 3 + 4 + 5 + 6 + 7 + 8	36

The number of dots for 7 layers of triangles is 36.

Example:
The table below shows numbers placed into groups I, II, III, IV, V and VI. In which groups would the following numbers belong?
a) 25
b) 46
c) 269

7 Step Problem Solving Process

I	1	7	13	19	25
II	2	8	14	20	26
III	3	9	15	21	27
IV	4	10	16	22
V	5	11	17	23
VI	6	12	18	24

Solution:
The pattern is: The remainder when the number is divided by 6 determines the group.
a) 25 ÷ 6 = 4 remainder 1 (Group I)
b) 46 ÷ 6 = 7 remainder 4 (Group IV)
c) 269 ÷ 6 = 44 remainder 5 (Group V)

Example:
The following figures were formed using matchsticks.

a) Based on the above series of figures, complete the table below.

Number of squares	1	2	3	4	5	6	7	8
Number of triangles	4	6	8	10
Number of matchsticks	12	19	26	33

b) How many triangles are there if the figure in the series has 9 squares?

c) How many matchsticks would be used in the figure in the series with 11 squares?

7 Step Problem Solving Ppt

Solution:
a)

Number of squares	1	2	3	4	5	6	7	8
Number of triangles	4	6	8	10	12	14	16	18
Number of matchsticks	12	19	26	33	40	47	54	61

b) The pattern is +2 for each additional square.
18 + 2 = 20
If the figure in the series has 9 squares, there would be 20 triangles. Iso converter to dvd downloadmarcus reid.

c) The pattern is + 7 for each additional square
61 + (3 x 7) = 82
If the figure in the series has 11 squares, there would be 82 matchsticks.

Example:
Seven ex-schoolmates had a gathering. Each one of them shook hands with all others once. How many handshakes were there?

Solution:

A	B	C	D	E	F	G
A
B	●
C	●	●
D	●	●	●
E	●	●	●	●
F	●	●	●	●	●
G	●	●	●	●	●	●
HS	6	5	4<

Strategiesproblem Solving