Grade 6 Mathematics · Unit 3: Ratios & RatesStandard 6.AT.3a

Lesson 3.4Interpreting Points on Ratio Graphs

Apply Day · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can graph the values from a ratio table as points on the coordinate plane.

Remember3.4 · Part II

Graphing Equivalent Ratios

  1. Form ordered pairs (x, y) from columns or rows in a ratio table
  2. Plot the points on the coordinate plane
  3. Proportional Relationship: Points form a straight line passing through the origin (0, 0)

Words: Coordinate plane (Plano cartesiano)Ordered pair (Par ordenado)Linear pattern (Patrón lineal)Proportional (Proporcional)Origin (Origen)

  1. 1Complete each step, then write the final answer.
    Boxes16Balls2?× ?× ?

    Each box holds 2 balls. Boxes are x and balls are y. What is the y-value of the point for 6 boxes?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.
    Ears of corn15Cheese (oz)3?× ?× ?

    A street corn recipe uses 3 ounces of cheese for every 1 ear of corn. Ears are x and ounces are y. What is the y-value of the point for 5 ears?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    012345678904812162024283236(0, 0)(3, 12)
    Would the line reach (8, 32) if you made it longer?

    A line of equivalent ratios goes through (0, 0) and (3, 12). Is the point (8, 32) on the line? Type yes or no.

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.
    Time (hours)13Distance (mi)30?× ?× ?

    A car goes 30 miles each hour. Hours are x and miles are y. What is the y-value of the point for 3 hours?

    Show your work
    Final answer:
  5. 5Circle the letter of the best answer. Show how you know.
    012345670123456789101112Apples (lb)Cost ($)(0, 0)(2, 3)
    Find the cost of 1 pound, then test each point.

    A store's graph shows pounds of apples as x and cost in dollars as y. It goes through (0, 0) and (2, 3). Which point is also on the graph?

    1. A(6, 9)
    2. B(4, 5)
    3. C(3, 4)
    4. D(5, 6)
    Show your work
  6. 6Complete each step, then write the final answer.
    x-value412612y-value6?8?× ?× ?× ?× ?
    Line A: first two columns. Line B: last two.

    Two lines go through (0, 0). Line A goes through (4, 6). Line B goes through (6, 8). At x = 12, how much greater is the y-value of line A than line B?

    Show your work
    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    A ratio table shows (2, 6), (4, 12), and (6, 18). Which ordered pair comes next if the pattern continues?

    1. A(7, 20)
    2. B(8, 24)
    3. C(8, 22)
    4. D(10, 24)
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    When you graph equivalent ratios, the points will always form what shape?

    1. AA curved line
    2. BA straight line through the origin
    3. CA zigzag
    4. DA circle
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    A ratio table shows (2, 8), (3, 12), and (5, 20). What is the y-value when x = 7?

    1. A21
    2. B24
    3. C28
    4. D35
    My work — one step per lineWhat I did to both sides
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