Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.AT.6a

Lesson 6.56.5 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 write an algebraic expression for a real situation and evaluate it for a given value of the variable — one step at a time, with support.

Remember6.5 Small Group · Group 1

Use a letter for the unknown amount and turn the words into operations. To evaluate, substitute a number for the letter and use the order of operations. An algebraic expression uses a letter for an unknown number. Write it from words. Then substitute a number to evaluate it.

Words: Variable (Variable)Algebraic Expression (Expresión algebraica)Coefficient (Coeficiente)Constant (Constante)Like terms (Términos semejantes)

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

    A class costs $6 each time, plus $15 to join one time. Let c be the number of classes. Find the total cost for 5 classes.

    Show your work

    Hint Write 6c + 15. Replace c with 5. Multiply first, then add.

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

    Evaluate 9k + 4 when k = 3.

    Show your work

    Hint Put 3 in place of k. Multiply before you add.

    Final answer:
  3. 3Complete each step, then write the final answer.

    A plant is 5 inches tall. It grows 2 inches each week. Let w be the number of weeks. Write an expression for its height. How tall is it after 8 weeks?

    Show your work

    Hint The plant starts at 5. It adds 2 inches for each week, so 2w.

    Final answer:
  4. 4Complete each step, then write the final answer.

    Adult tickets cost $9. Kid tickets cost $5. Let a be the number of adults and k the number of kids. Write an expression for the total cost. Find the cost for 3 adults and 4 kids.

    Show your work

    Hint Each ticket type gets its own term: 9a for adults and 5k for kids.

    Final answer:

Explain your thinkingIn 8c + 20, why is the 8 next to the c, but the 20 is added alone?

Sentence starter The 8 is next to c because ___. · The 20 is added one time because ___.

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