Grade 6 Mathematics · Unit 8: Equations & InequalitiesStandard 6.AT.9

Lesson 8.58.5 Small Group · Group 2

Group 2 · Set BSecond challenge form · new problems, same idea

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

Learning target I can graph the solutions of an inequality on a number line, explain what each part stands for, and build one for a situation I have not seen before.

Remember8.5 Small Group · Group 2

Test a number to choose the side to shade, because the direction a symbol points does not always show where the solutions are. When the variable is on the right, read the inequality with the variable first before you graph.

Words: Number line (Recta numérica)Open circle (Círculo abierto)Closed circle (Círculo cerrado)Solution set (Conjunto solución)Inequality (Desigualdad)

  1. 1Complete each step, then write the final answer.

    Graph 3 ≥ x. Which way do you shade from 3: left or right?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    Graph 20 ≥ k. Which way do you shade from 20: left or right?

    Show your work
    Final answer:
  3. 3Circle the letter of the best answer. Show how you know.

    Campers must be older than 9. Which graph shows every allowed age?

    1. AOpen circle at 9, shade right
    2. BClosed circle at 9, shade right
    3. COpen circle at 9, shade left
    4. DClosed circle at 9, shade left
    Show your work
  4. 4Complete each step, then write the final answer.

    Which whole numbers make both x > 3 and x ≤ 7 true? How many are there?

    Show your work
    Final answer:

Explain your thinkingMo trusted the direction the symbol points. Why is testing a number a safer way to choose the side to shade?

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