Section C Section C Checkpoint

Problem 1

Lin and Priya create patterns with these rules. Lin’s rule is start with 0 and keep adding 2. Priya’s rule is start with 0 and keep adding 4.

Lin 0 2 4 6 8 10
Priya 0 4 8 12 16 20
  1. What number will be on Priya's list when Lin's number is 26? Explain or show your reasoning.
  2. What number will be on Lin’s list when Priya’s number is 240? Explain or show your reasoning.

  3. Plot the points from the table on the coordinate grid.

    Coordinate plane. Horizontal axis, Lin's pattern, 0 to 30, by 2's. Vertical axis, Priya's pattern, 0 to 30, by 2's. 

Show Solution
Solution
  1. 52, because Priya's numbers are twice the corresponding numbers on Lin's list.
  2. 120, because Lin's numbers are half the corresponding numbers on Priya's list.

  3. coordinate plane
Show Sample Response
Sample Response
  1. 52, because Priya's numbers are twice the corresponding numbers on Lin's list.
  2. 120, because Lin's numbers are half the corresponding numbers on Priya's list.

  3. coordinate plane

Problem 2

Here is some data for the height and age of children in Clare’s neighborhood. 

Coordinate plane. Horizontal axis, age in years, 0 to 14, by 1's. Vertical axis, height in inches, 0 to seventy, by 5's. 13 points plotted.
Coordinate plane. Horizontal axis, age in years, 0 to 14, by 1's. Vertical axis, height in inches, 0 to seventy, by 5's. 13 points plotted. 0 comma 22 point 5. 1 comma 26. S, 1 comma 30. 2 comma 38. 3 comma 36. 3 comma 42. 5 comma 40. 5 comma 44. 5 comma 49. 7 comma 47. 9 comma 48. 11 comma fifty 7 point 5. 12 comma sixty.

  1. Clare’s brother is 5 years old and has a height of 49 inches. Label the point that represents Clare’s brother B.
  2. The point S represents Clare’s sister. How tall is Clare’s sister? How old is Clare’s sister?
Show Solution
Solution
  1. coordinate grid
  2. Clare’s sister is 30 inches tall and is 1 year old.
Show Sample Response
Sample Response
  1. coordinate grid
  2. Clare’s sister is 30 inches tall and is 1 year old.