1. Focus 1 and 2 Review

2. Evaluating tables for proportional relationships Consider the following table: Time in seconds (t) Distance in meters (d) 00 12 24 36 48 510 Does the table represent a proportional relationship?

3. Evaluating tables for proportional relationships Consider the following table: Time in seconds (t) Distance in meters (d) 00 12 24 36 48 510 Does the table represent a proportional relationship? Look for patterns +1 +2 x2 Independent variable x-axis Dependent variable y-axis

4. Evaluating tables for proportional relationships Consider the following table: Time in seconds (t) Distance in meters (d) 00 12 24 36 48 510 Graph the points What is the equation that matches with this graph? Identify the constant of proportionality and write your equation in the form d=kt

5. Evaluating tables for proportional relationships Consider the following table: Time in seconds (t) Distance in meters (d) 00 11.5 23 34.5 46 57.5 Does the table represent a proportional relationship? Is there a pattern? If you graphed it, does it create a straight line starting at (0,0)? Can you write an equation that matches this table?

6. Evaluating tables for proportional relationships Consider the following table: Time in seconds (t) Distance in meters (d) 00 15 28 312 417 523 Does the table represent a proportional relationship?

7. Evaluating tables for proportional relationships Consider the following table: Time in seconds (t) Distance in meters (d) 00 1-3 2-6 3-9 4-12 5-15 Does the table represent a proportional relationship?

8. Graphs of proportional relationships What is the constant of proportionality?

9. Graphs of proportional relationships What is the constant of proportionality?

10. Graphs of proportional relationships What is the constant of proportionality?

11. Identifying the constant of proportionality Anna is walking to school at a constant rate. She writes the equation d=5s to represent the distance (d) in meters she walks in seconds (s). What does the 5 represent in this equation? Write a verbal model of the equation: Distance = 5 x seconds The 5 represents the unit rate of 5 meters/second.

12. Identifying the constant of proportionality The CMS math department is buying pizza to celebrate students’ success on the end-of-year math test. The equation C=4n represents the total cost (C) for the number of pizzas (n) that they need to get for the celebration. What does the 4 represent? Write a verbal model of the equation: Total Cost = 4 x number of pizzas The 4 represents the unit rate of $4/pizza.

13. Identifying the constant of proportionality Alejandro bought pencils for his math class. The equation C=.18n represents the total cost (C) for the number of pencils (n) that that he bought. What does the.18 represent? Write a verbal model of the equation: Total Cost =.18 x number of pencils The.18 represents the unit rate of $.18/pencil.

14. Writing rates using rational numbers

16. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation The graph below shows how much the soccer team earned washing cars. What does the point (0,0) mean? Which point represents the rate in dollars the soccer teams earns per car?

17. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation The graph below shows the relationship between distance (d) and gallons (g) of gasoline. Which point represents the rate in distance traveled for each gallon of gasoline? What does the point (0,0) mean?