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

Lesson 6.4Order of Operations with Powers

Apply Day · Set BSecond form · new problems, same idea

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

Learning target I can write numerical expressions from a real situation and evaluate them using the order of operations, including powers.

Remember6.4 · Part II

Order of Operations (PEMDAS)

  1. Grouping Symbols: Parentheses, brackets, fraction bars inner to outer
  2. Exponents: Evaluate all powers
  3. Multiply & Divide left to right; Add & Subtract left to right

Words: Numerical expression (Expresión numérica)Evaluate (Evaluar)Order of operations (Orden de las operaciones)Power (Potencia)Base (Base)

Part 1Understand the ideamodels and meaning
  1. 1Circle the letter of the best answer. Show how you know.

    What does 2³ mean?

    1. A2 × 2 × 2
    2. B2 × 3
    3. C2 + 2 + 2
    4. D3 × 3
    Show your work
  2. 2Circle the letter of the best answer. Show how you know.

    Sofia buys 4 tickets at $20 each and 2 tickets at $15 each. Which expression shows the total?

    1. A4 × 20 + 2 × 15
    2. B4 + 20 + 2 + 15
    3. C(4 + 2) × (20 + 15)
    4. D4 × 2 + 20 × 15
    Show your work
Part 2Practice the skillshow every step
  1. 3Circle the letter of the best answer. Show how you know.

    Evaluate 3 + 4 × 2.

    1. A9
    2. B11
    3. C14
    4. D24
    Show each partial product, then add them
Part 3Apply itreal-world problems
  1. 4Complete each step, then write the final answer.

    Evaluate 4 + 2 × 3².

    Show your work
    Final answer:
  2. 5Complete each step, then write the final answer.

    Evaluate 5 × 15 + 2 × 20 + 3 × 2³.

    Show your work
    Final answer:
  3. 6Complete each step, then write the final answer.

    A number is squared. The result is multiplied by 2. Then 5 is added. The final value is 37. What is the number?

    Show your work
    Final answer:
  4. 7Complete each step, then write the final answer.

    A garden has 2 square beds. Each bed is 6 feet long on each side, so its area is 6² square feet. A path covers 10 square feet. What is the total area?

    Show your work
    Final answer:
  5. 8Complete each step, then write the final answer.

    A phone plan costs $30 a month, plus $2 for each GB used over 2³ GB. Tom uses 12 GB. Write and evaluate an expression for his bill.

    Show your work
    Final answer:
  6. 9Circle the letter of the best answer. Show how you know.

    Put one set of parentheses in 36 ÷ 3² + 3 × 2 so the value is 14. Which placement works?

    1. A(36 ÷ 3² + 3) × 2
    2. B36 ÷ (3² + 3) × 2
    3. C36 ÷ 3² + (3 × 2)
    4. D(36 ÷ 3)² + 3 × 2
    336
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help