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Unit 07 · Equations Inequalities and RelationshipsLesson

Day 104Interpreting Input Output Patterns

LearnClassworkAnswer keyPDF packet ↗
Standards 6.EE.C.9
LEARNING TARGET

I can connect an equation, a table, and a graph.

01 · LEARN

Build the idea

Choose input values, substitute to find outputs, and write ordered pairs. Label horizontal input and vertical output axes. Plot each pair and interpret a point in the situation.

WORKED EXAMPLE 1

For y = 7x, make a table for x = 0, 1, 2, 3. Plot the ordered pairs and label both axes.

(0, 0); (1, 7); (2, 14); (3, 21)

Substitute each input into y = 7x; x is horizontal and y vertical.

WORKED EXAMPLE 2

For y = 6x + 3, make a table for x = 0, 1, 2, 6. Plot the ordered pairs and label both axes. Explain what happens to y each time x increases by 1.

(0, 3); (1, 9); (2, 15); (6, 39); y increases by 6

Substitute each input into y = 6x + 3; x is horizontal and y vertical.

02 · PRACTICE

Your turn

Work in order. Start with the foundations, then build toward explanation and application.

  1. For y = 6x, make a table for x = 0, 1, 2, 4. Plot the ordered pairs and label both axes.

  2. For y = 5x, make a table for x = 0, 1, 2, 6. Plot the ordered pairs and label both axes.

  3. For y = 8x, make a table for x = 0, 1, 2, 5. Plot the ordered pairs and label both axes.

  4. For y = 7x + 3, make a table for x = 0, 1, 2, 6. Plot the ordered pairs and label both axes.

  5. For y = 5x + 5, make a table for x = 0, 1, 2, 4. Plot the ordered pairs and label both axes.

  6. For y = 2x + 3, make a table for x = 0, 1, 2, 2. Plot the ordered pairs and label both axes.

  7. For y = 8x + 3, make a table for x = 0, 1, 2, 4. Plot the ordered pairs and label both axes. Explain what happens to y each time x increases by 1.

  8. For y = 8x + 6, make a table for x = 0, 1, 2, 6. Plot the ordered pairs and label both axes. Explain what happens to y each time x increases by 1.

  9. For y = 4x + 6, make a table for x = 0, 1, 2, 4. Plot the ordered pairs and label both axes. Explain what happens to y each time x increases by 1.

  10. For y = 6x + 2, make a table for x = 0, 1, 2, 6. Plot the ordered pairs and label both axes. Explain what happens to y each time x increases by 1.

03 · CHECK

Answers and reasoning

Reveal the teacher answer key
  1. (0, 0); (1, 6); (2, 12); (4, 24)

    Substitute each input into y = 6x; x is horizontal and y vertical.

  2. (0, 0); (1, 5); (2, 10); (6, 30)

    Substitute each input into y = 5x; x is horizontal and y vertical.

  3. (0, 0); (1, 8); (2, 16); (5, 40)

    Substitute each input into y = 8x; x is horizontal and y vertical.

  4. (0, 3); (1, 10); (2, 17); (6, 45)

    Substitute each input into y = 7x + 3; x is horizontal and y vertical.

  5. (0, 5); (1, 10); (2, 15); (4, 25)

    Substitute each input into y = 5x + 5; x is horizontal and y vertical.

  6. (0, 3); (1, 5); (2, 7)

    Substitute each input into y = 2x + 3; x is horizontal and y vertical.

  7. (0, 3); (1, 11); (2, 19); (4, 35); y increases by 8

    Substitute each input into y = 8x + 3; x is horizontal and y vertical.

  8. (0, 6); (1, 14); (2, 22); (6, 54); y increases by 8

    Substitute each input into y = 8x + 6; x is horizontal and y vertical.

  9. (0, 6); (1, 10); (2, 14); (4, 22); y increases by 4

    Substitute each input into y = 4x + 6; x is horizontal and y vertical.

  10. (0, 2); (1, 8); (2, 14); (6, 38); y increases by 6

    Substitute each input into y = 6x + 2; x is horizontal and y vertical.

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