Unit 1 – Relationships between Quantaties and Expressions

Week 3 – Day 4

Lesson 4 – Create equations with one variable from a context and use appropriate measures.

Focus Standards

• N.Q.1 – Students will use units of measure as a way to understand problems

• N.Q.2 – Define appropriate quantities for the purpose of descriptive modeling. Given a situation, students will determine, identify and use appropriate quantities for representing the situation.

• N.Q.3 – Choose a level of accuracy appropriate to limitations on measurement when reporting quantities

• A.CED.1 – Create equations in one variable and use them to solve problems. (integer inputs only)

Essential Questions

• When do you need to be more precise or exact when using quantities?

• If you are running a race how precise would you want to be? What if the winner wins $100,000?

Read, Draw, Write, Solve

• Sam is shopping for some new parts to his Razor. He bought two new lights that cost the same amount and a new filter for $15. The total cost is $55. How much does each light cost?

Activator

ATLANTA, GEORGIA A well-known Atlanta foot race has a winner, and he won by only 0.09 of a second. It's the first photo-finish in the history of the Peachtree Road Race.Ben Payne -- an active duty Air Force member from Colorado -- was ahead of British Olympian Scott Overall. As the top two runners approached the finish line, Payne looked back, then put a finger in the air. He expected to come in first, but at the last second, Scott Overall passed him.

• 2015 Peachtree Road Race

Helen has saved $600 to buy a new computer. If the computer she wants costs $1,800 and she saves $20 each week, how many years will it take Helen until she will have enough money to buy the computer?

1. What do we want to know?2. What is the important information?3. Create an equation that can represent the situation.4. Define each term, coefficient and constant in your equation.5. Solve

We got x = 60 and decided that this is 60 weeks. What information is the question asking for?

Work Area:

What would be a reasonable answer?

Chadd and Blake live 55 miles apart and decide to go hunting together. They want to meet somewhere and decide to leave their homes at the same time, drive toward each others house and meet somewhere along the route. Chadd drives at an average rate of 60 mph. Blake will be driving down Hwy. 278 and can drive at a faster rate of 70 mph. How long will it take the brothers to meet each other?

1. What do we want to know?2. What is the important information?3. Create an equation that can represent the situation.4. Define each term, coefficient and constant in your equation.5. Solve

We got t = 0.42307. Is this a realistic number for time? What should the number be rounded to? When we are talking about meeting some would we say “I’ll be there in 0.42 hours?” What would be the appropriate units to use in this situation?

Work Area:

Summarizer

• Discuss with your partner in what units should each scenario be reported.

• Filling a swimming pool• A snail traveling across the sidewalk• Painting your classroom