Lesson 1-1 Pages 6-10 The “Four-Step Problem Solving Plan”. 1. Explore (Read) 2. Plan (Decide) 3. Solve (Do) 4. Examine (Check) Lesson Check 1-0.
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Lesson 1-1 Pages 6-10The “Four-Step Problem Solving Plan”.
1. Explore (Read)
2. Plan (Decide)
3. Solve (Do)
4. Examine (Check) Lesson Check 1-0
What you will learn!
How to solve problems using the four-step plan.
Conjecture (educated guess)
Inductive reasoning (guess based on pattern or past events)
The “Four Steps”:
1. Explore (Read): Get a general understanding of the problem.
2. Plan (Decide): Make a plan to solve the problem.
3. Solve (Do): Carry out your plan.
4. Examine (Check): Check if you answer makes sense.
Problem Solving Strategies (Plans)
Guess and Check Use a graph
Look for a pattern Work Backward
Make an organized list Eliminate possibilities
Draw a diagramEstimate reasonable answers
Act it out Use logical reasoning
Solve a simpler problem
Make a model
Example 1:
The price of a large cheese pizza at Paul’s Pizza Place is $9.25. You receive a $0.50 discount for each additional pizza ordered, up to 10. So, one pizza costs $9.25, two pizzas cost $8.75 each, three pizzas cost $8.25 each, etc. If you need 8 pizzas for a party, what is the cost per pizza?
$5.75
Example 2:
Find the next term in 1, 4, 16, 64, 256, …
1,024
Example 3:
The chart shows the distance of selected planets from the Sun. About how much farther is it from Earth to the Sun than from Mercury to the Sun?
Planet Distance from Sun in Millions of
miles.
Mercury 36.0Venus 67.24Earth 92.9Mars 141.71
57 million
36,000,00067,240,00092,900,000
141,710,000
Page 9
Guided Practice
#’s 3-8Link to Pre-Made Lesson
Pages 6-8 with someone at home
and study examples!
Read:
Homework: Pages 9-10
#’s 9-25
#’s 29-36
Lesson Check 1-1
Page
724
Lesson 1-1
Conjecture
An educated guess.p7
Inductive reasoning
Reasoning based on a pattern of examples or past events.p7
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