Classroom Assessments Based on Standards Integrated College Prep I Unit 3 CP 103A

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1 Classroom Assessments Based on Standards Integrated College Prep I Unit 3 CP 103A Name: ID Number: Teacher Name: Score: Proficient: yes no How Tall Can He Be? The table below shows the average height in centimeters of boys ages 1 to 7. Age in years Height Date: 1. Make a scatterplot for the above data. (age, height) 2. Draw a linear model that fits the pattern in the plot. Integrated College Prep I Unit 3 CP 103A Page 215 How Tall Can He Be?

2 3. Use your linear model to predict the height of a 12 year old boy. Explain your response. Height of 12 year old boy 4. Use your TI-83 to plot the same points. Using your calculator write an equation for the linear regression line. Linear regression equation What do the parts of the equation (slope and y-intercept) tell you about the relationship being modeled? 5. Find the height of a 12 year old boy using your linear regression equation. Explain how your answer compares to your answer in #3. Height 6. Solve the following system of equations using any method. (tables, graphs, or reasoning with the symbolic forms) y = x + 5 y = 3x - 4 Integrated College Prep I Unit 3 CP 103A Page 216 How Tall Can He Be?

3 Classroom Assessments Based on Standards Integrated College Prep I Unit 3 CP 103B Name: ID Number: Teacher Name: Score: Proficient: yes no How Much Will I Get For My Car? The table below shows the trade-in value of a Ford Escort in dollars over a period of 5 years. Age in years Dollar Value Make a scatterplot for the above data. (age, dollar value) Date: 4. Draw a linear model that fits the pattern in the plot. Page 217 How Much Will I Get For My Car?

4 3. Use your linear model to predict the dollar value of a 7 year old Escort. Explain your response. Dollar value of a 7 year old Escort 7. Use your TI-83 to plot the same points. Using your calculator write an equation for the linear regression line. Linear regression equation What do the parts of the equation (slope and y-intercept) tell you about the relationship being modeled? 8. Find the dollar value of a 7 year old Escort using your linear regression equation. Explain how your answer compares to your answer in #3. Dollar Value 9. Solve the following system of equations using any method. (tables, graphs, or reasoning with the symbolic forms) y = 2x + 6 y = x + 3 Page 218 How Much Will I Get For My Car?

5 Classroom Assessments Based on Standards Name: ID Number: Teacher Name: Score: Proficient: yes no Summer Olympics The table below shows the winning times for the Summer Olympics Women s 100-Meter Run. Date: Year Race Time in Seconds Year Race Time in Seconds Make a scatterplot for the above data from Use 0 = (year, seconds) 6. Draw a linear model that fits the pattern in the plot. Page 219 Summer Olympics

6 3. Use your linear model to predict the race time for the year 2004 Olympics. Explain your response. Race time for the year 2004 Olympics 10. Use your TI-83 to plot the same points. Using your calculator write an equation for the linear regression line. Linear regression equation What do the parts of the equation (slope and y-intercept) tell you about the relationship being modeled? 11. Find the race time for the year 2004 Olympics using your linear regression equation. Explain how your answer compares to your answer in #3. Race time in seconds 12. Solve the following system of equations using any method. (tables, graph, or reasoning with the symbolic forms) y = 4x 5 y = 1.5x + 2 Page 220 Summer Olympics

7 Classroom Assessments Based on Standards Integrated College Prep I Unit 3 CP 103D Name: ID Number: Teacher Name: Score: Proficient: yes no Date: Heartbeat The table below shows the suggested maximum heart rate (by age) for persons entering aerobic training programs. Age in years 7. Make a scatterplot for the above data. (age, heart rate) Heart rate in beats per minute Draw a linear model that fits the pattern in the plot. Page 221 Heartbeat

8 3. Use your linear model to predict the heart rate at 60 years old. Explain your response. Heart rate at 60 years old 13. Use your TI-83 to plot the same points. Using your calculator write an equation for the linear regression line. Linear regression equation What do the parts of the equation (slope and y-intercept) tell you about the relationship being modeled? 14. Find the heart rate at 60 years old using your linear regression equation. Explain how your answer compares to your answer in #3. Heart rate 15. Solve the following system of equations using any method. (tables, graphs, or reasoning with the symbolic forms) y = x - 2 y = 2x + 1 Page 222 Heartbeat

9 Classroom Assessments Based on Standards Integrated College Prep I Unit 3 CP 103E Name: ID Number: Teacher Name: Score: Proficient: yes no CD Sales Date: Better Buys discount store is trying out different weekly schedules with different numbers of hours of operation in their CD department. The table below shows the number of CD sales. Hours of operation CDs sold Make a scatterplot for the above data. (hours, CDs sold) 10. Draw a linear model that fits the pattern in the plot. Page 223 CD Sales

10 3. Use your linear model to predict the CD sales for a 45 hour week. Explain your response. Number of CD sold during a 45 hour week 16. Use your TI-83 to plot the same points. Using your calculator write an equation for the linear regression line. Linear regression equation What do the parts of the equation (slope and y-intercept) tell you about the relationship being modeled? 17. Find the number of CDs sold during a 45 hour week using your linear regression equation. Explain how your answer compares to your answer in #3. Number of CDs sold 18. Solve the following system of equations using any method. (tables, graphs, or reasoning with the symbolic forms) y = x y = -2x + 4 Page 224 CD Sales

11 Classroom Assessments Based on Standards Integrated College Prep I Unit 3 CP 103F Name: ID Number: Teacher Name: Score: Proficient: yes no Date: Earning Interest Desiree, who is 20, deposits $1000 into an interest-bearing account. It has an annual rate of 8%. The interest earned each year is deposited in the account at the end of each year. Below is a table showing the growth over 20 years. Years Balance in $ Years Balance in $ Years Balance in $ Make a scatterplot for the above data. (years, balance in $) Page 225 Earning Interest

12 12. Draw a linear model that fits the pattern in the plot. 3. Use your linear model to predict what the balance will be when Desiree is 55 years old. Explain your response. Balance when Desiree is 55 years old 19. Use your TI-83 to plot the same points. Using your calculator write an equation for the linear regression line. Linear regression equation What do the parts of the equation (slope and y-intercept) tell you about the relationship being modeled? 20. Find the balance when Desiree is 55 years old using your linear regression equation. Explain how your answer compares to your answer in #3. Balance when Desiree is 55 years old 21. Solve the following system of equations using any method. (tables, graphs, or reasoning with the symbolic forms) y = x + 1 y = 2x Page 226 Earning Interest

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