Grade 6 Mathematics · Unit 9: Relationships Between Two VariablesStandard 6.AT.11

Lesson 9.29.2 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target With my small group, I can use a table and a graph to determine and analyze the relationship between two variable quantities — one step at a time, with support.

Remember9.2 Small Group · Group 1

In an ordered pair the independent variable comes first, so each point on the graph shows a value for each quantity. A table and a graph show the same relationship. Each row of the table becomes one point on the graph.

Words: graph (gráfica)table of values (tabla de valores)ordered pair (par ordenado)axis (eje)coordinates (coordenadas)

  1. 1Complete each step, then write the final answer.
    Time (hours)13Total cost ($)8?× ?× ?
    Use the same scale factor on both rows.

    A bike rents for $8 per hour. The point (3, ?) is on the graph of hours and total cost. What is the missing number?

    Show your work

    Hint The first number is 3 hours. Find the cost of 3 hours: multiply 3 by 8.

    Final answer:
  2. 2Complete each step, then write the final answer.
    Notebooks17Total cost ($)4?× ?× ?
    Use the same scale factor on both rows.

    Notebooks cost $4 each. The graph of (notebooks, total cost) passes through (7, ?). What is the missing number?

    Show your work

    Hint The ? is the total cost of 7 notebooks.

    Final answer:
  3. 3Complete each step, then write the final answer.
    Time (minutes)18Water (gallons)20?× ?× ?
    Use the same scale factor on both rows.

    A pool fills with 20 gallons of water each minute. On a graph of (minutes, gallons), what is the point for 8 minutes? Give the gallons.

    Show your work

    Hint Minutes is the independent variable. Multiply to find the gallons.

    Final answer:
  4. 4Complete each step, then write the final answer.
    Apples1?Total cost ($)327× ?× ?
    Use the same scale factor on both rows.

    Apples cost $3 each. On the graph of (apples, total cost), one point has a total cost of $27. What is the x-coordinate of that point?

    Show your work

    Hint The x-coordinate is the number of apples. How many $3 apples make $27?

    Final answer:

Explain your thinkingWhy does the number of hours go first in each ordered pair? What would the point (60, 4) mean?

Sentence starter Hours go first because ___. · The point (60, 4) would mean ___.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help