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 diagram Estimate 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