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Algebra I - EC: A1.2.3.2.1

Algebra I - EC: A1.2.3.2.1

Continuum of Activities

Continuum of Activities

The list below represents a continuum of activities: resources categorized by Standard/Eligible Content that teachers may use to move students toward proficiency. Using LEA curriculum and available materials and resources, teachers can customize the activity statements/questions for classroom use.

This continuum of activities offers:

  • Instructional activities designed to be integrated into planned lessons
  • Questions/activities that grow in complexity
  • Opportunities for differentiation for each student’s level of performance

Grade Levels

12th Grade

Course, Subject

Mathematics, Algebra I

Activities

  1. Your high school basketball team scored points in each of the four quarters of their last game according to the graph below. What percent of their points did they score in the 4th quarter?

  1. The bar graph below displays the number of students who packed or bought their school lunch in the 9th grade. If there are 300 high school students in all, use the graph to predict how many pack their lunch.

  1. The line graph below shows the amount of money students raised in each of the past several months for a philanthropic cause. If the trend continues, how much money will be accumulated by the end of April?

  1. Look at the circle graph below. How many of the 1,000 dog’s measured by a local vet weighed greater than 65 pound?

  1. How much does the average speed of five cars increase when you add one traveling 80 miles per hour to four that average 50 miles per hour?
  1. If the mean value test score in a math class was an 82% and there were 25 students in the class, how much would the mean score increase if another student scored a 100%?
  1. There are 300 students in a summer program. The students can choose a special activity to participate in during the elective time. The circle graph below shows the percent of students who chose basketball, drawing, running and fashion design. How many more students chose fashion design than running?

  1. The bar graph displays the number of families with different types of pets in a local community. Assume each house has no more than one type of pet. If fifty more houses were included in the community, estimate how many of them would have dogs?

  1. Janice scored an average of 77% on six tests. What is the lowest grade Janice can get on her next test so that her average remains a 75% or greater?
  1. A line graph displays the salary of an engineer over their first four years of employment after college. If this trend continues, what will they earn in their 10th year of employment?

  1. The table below shows the average percentages for male and female students in science class for the year through 3 quarters. How many more points would the male students need to earn than the female students in quarter 4 if they were to both average an 80% for the year?

  1. The circle graph below displays the percentage of students who choose various drinks at a cafeteria. If 110 students chose milk, how many students did not choose soda?

  1. The line graph shows the growth in population for a certain county over several years. Based on what you see here, describe in words what you would expect the population to be like in 20 years?

  1. Sarah’s time for the two-mile race has been steadily improving throughout the track season according to the line graph below. Estimate her race time in one more week, two more weeks and three more weeks?

  1. The amount of money each of four waiters earned at a local restaurant is displayed in the circle graph below. In terms of percentages how much more did Audrey earn than Marc

  1. Malik had the following scores for his math tests throughout the year:  88, 71, 83, 75, 78, 82, 84, 60, 73, 88, 72, and 80. What score would he need to get on his final exam to move his test average up one percentage point?
  1. A circle graph represents the eye colors of students in your school. There are half as many students with green eyes as blue eyes and twice as many students with brown eyes as blue eyes. How many students have each color eye if there are 252 students in the school?
  1. Look at the list of distances between Philadelphia and other cities. What distance would have to be added to this list so that the median would increase by 3.5?

71, 65, 21, 99, 304, 124, 36

  1. The bar graph below displays the number of points a basketball player scored each year. Estimate how many points would he have to score the next year so that his average points per year was greater than the points per year for four years shown here?

  1. The table below shows the favorite colors of each of the students in 8th grade. Based on those numbers, estimate how many, of the 200 9th grade students, like blue as their favorite color?

  1. Two circle graphs are shown below. The first graph represents the number of students in various extracurricular activities. The second graph represents the type of transportation students use to get to school. Based on the information below, and assuming that every student is in one and only one activity, what is the probability that Alex is on the basketball team and walks to school?

  1. The line graph below shows the income verses expenditures for a small business over the course of four years. Estimate the difference between the income and expenditures for the four-year period.

  1. Sectors A, B, C and D are all of equal size in the circle graph shown below. How many percentage points should be moved from A, B, and C, to D so that A, B, and C are equal and D is 80% of the graph?

  1. Given the data below regarding how many pairs of shoes various students have, determine the size of the central angle for each category so that you could make a circle graph out of this data.

  1. The average of five numbers is three less than the median number. What could the numbers be?

 

Answer Key/Rubric

  1. 32.6%
  1. 72 students packed their lunch
  1. $148.00
  1. 180 were greater than 65 pounds
  1. 6 miles per hour
  1. 0.7%
  1. 36 more students
  1. 21 more houses with dogs
  1. 63%
  1. $56,000
  1. 1 point
  1. 325 students did not choose soda
  1. The population would be less than 30,000 people because although it is growing, the increase is becoming less each year so that over time the population will remain basically the same.
  1. One week: 13:34, Two weeks: 13:19, Three weeks: 13:04
  1. 8.1%
  1. 90.83%
  1. 36 green eyes, 72 blue eyes, 144 brown eyes
  1. 78
  1. Around 1000 points should make it increase
  1. 70 9th grade students like blue
  1. 1.35%
  1. $12,200 more expenditures than income
  1. moved from A, B, and C to D
  1. The angle for 1 pair of shoes: 26.1o
    The angle for 2-3 pairs of shoes: 80o
    The angle for 4-6 pairs of shoes: 107.8o
    The angle for 7-10 pairs of shoes: 62.6o
    The angle for 11+ pairs of shoes: 83.5o
  1. Various answers including -4, 1, 7, 8, 8

 

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