Math 1 1 Warmup Determine whether each number

Math 1 -1: Warm-up Determine whether each number is prime or composite. 1. 29 2. 36 3. 97 4. Write each percent as a fraction in simplest form. 4. 13% 5. 87 ½% 6. The original price of a DVD was $30. The sale price is $24. What is the percent of decrease? A. 10% B. 15% C. 20% D. 25%

Math 1 -1: A Plan for Problem Solving Objective: Solve problems by using the four-step plan.

Vocabulary 1. Conjecture – an educated guess

Four-Step Plan 1. Explore – Determine what information is given in the problem and what you need to find. ü ü 2. Plan – Select a strategy including a possible estimate. ü 3. Visualize the problem. Solve – Solve the problem by carrying out your plan. ü 4. Do you have all the information you need? Is there too much information? If your plan doesn’t work, try another. Examine – Examine your answer to see if it seems reasonable. ü ü Compare your answer to your estimate. If the answer isn’t reasonable, make a new plan and start again.

Problem-Solving Strategies • • Make a model Solve a simpler problem Make an organized list Make a table Find a pattern Work backward Draw a graph Guess and check v. Read the problem more than once!!

Practice Problem 1. The Vorhees family plans to paint the walls in their family room. They need to cover 512 square feet with 2 coats of paint. If a one-gallon can of paint covers 220 square feet, how many one-gallon cans of paint should they purchase?

• Explore: – 2 coats of paint – Room has 512 ft 2 – One-gallon covers 220 ft 2 • Plan: – Estimate? – Strategy? • Solve: Gal Ft 2 • Examine: – Check 1 220 2 3 4 5

Practice Problem 2. Study the table. The five largest states in total area, which includes land water, are shown. Of the five states shown, which one has the smallest area of water? Largest States in Area State Land Area (mi 2) Total Area (mi 2) Alaska 570, 374 615, 230 Texas 261, 914 267, 277 California 155, 973 158, 869 Montana 145, 556 147, 046 New Mexico 121, 364 121, 598

Assignment • 1 -1 Practice Skills (all) • 1 -1 Enrichment (extra credit) • Family Activity (extra credit) – due 9/13