7th Grade Math

Warm-up September 24, 2012

Discuss with your group some answers on the above questions.

Vocabulary Words for the Day1. Equation2. Rule

On your interactive notebook

Examples Non-Examples

Definition

Investigation 3.1 (A)

Ticket out the Door

What decisions do you have to make when you write an equation to represent a relationship between variables?____________________________________________________________________________________________________________________________________________________________

Warm-up September 25, 2012

C. Do the following for each of the three average speeds:1. Look for patterns relating distance and time on the table and graph. Write a rule in words for calculating the distance traveled in any given time.__________________________________________________________________________________________________________________2. Write an equation for your rule, using letters to represent the variables. _________________________________________________________3. Describe how the pattern of change shows up in the table, graph, and equation.__________________________________________________________D. For each speed (50, 55, and 60 mph) tell how far you would travel in the giventime. Explain how you can find each answer by using the table, the graph, and the equation.4. 3 hours ______________________________________________

2. 4 ½ hours ______________________________________________

3. 5 ¼ hours _______________________________________________

Investigation 3.1 (B)

Ticket out the DoorIn what ways are equations useful?

________________________________________________________________________________________________________________________________

Warm-up September 26, 2012Find the Greatest Common Factor

Investigation 3.2 (A)A. Find the price of admission for a group of 20 people, a group of 30 people, and a group of 42 people.______________________________________________________________________________________________________B. Describe in words how you can calculate the admission price for a group with any number of people.______________________________________________________________________________________________________C. Write an equation for the admission price p for a group of n people.___________________________________________________

4. Sketch a graph to show the admission price for a group of any size.5. How does the pattern of change show up in the equation and graph?________________________________________________________________________________________________________________________How is this pattern similar to the pattern inInvestigation 3.1?________________________________________________________________________________________________________________________

Ticket out the Door

In this unit, you have represented relationshipswith tables, graphs, and equations. List some advantages and disadvantages of each of theserepresentations.________________________________________________________________________________________________________________________________________________________

Warm-up September 27, 2012

Investigation 3.2 (B)

______________________________________________________________________________________________________________________________________________________________________________

Number your answers below.______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Warm-up September 28, 2012Simplify.

Investigation 3.3A. Extend and complete Sidney’s table for 1 to 6 customers.B. Write a rule in words and an equation for calculating1. revenue r for n customers_____________________________________________________________2. total expenses e for n customers_____________________________________________________________3. profit p for n customers_____________________________________________________________

C. Use the equations you wrote on B to find the revenue, expenses, and profit for 20 customers and for 31 customers.____________________________________________________________D. Sidney forgot that the tour operators need to rent a van to carry equipment.The rental cost for the van will be $700.1. How does this expense affect the equation for total expenses?2. How does this expense affect the equation for profit?