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

Lesson 8.48.4 Small Group · Group 2

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

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target I can write inequalities to represent real-world situations, explain what each part stands for, and build one for a situation I have not seen before.

Remember8.4 Small Group · Group 2

Decide if the boundary number is allowed and which way the values go, then choose the symbol that matches both. Read the whole phrase, not one word. "No less than" uses ≥, even though it says "less."

Words: Inequality (Desigualdad)Greater than (Mayor que)Less than (Menor que)At least / At most (Al menos / A lo más)Variable (Variable)

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

    A small elevator can carry no more than 8 people. Which symbol goes in the box: p ☐ 8?

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

    A pool is open to swimmers no younger than 7. Which symbol goes in the box for a swimmer's age a: a ☐ 7?

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

    A bridge sign says: "Trucks over 12 tons may not cross." Which inequality shows the weight w of a truck that may cross?

    1. Aw ≤ 12
    2. Bw < 12
    3. Cw > 12
    4. Dw ≥ 12
    Show your work
  4. 4Complete each step, then write the final answer.

    A number n is at least 4 and less than 9. How many whole numbers can n be?

    Show your work
    Final answer:

Explain your thinkingSome phrases sound like the opposite symbol, like "no less than." How do you test a phrase to choose the right symbol?

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