Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.AT.5

Lesson 6.36.3 Small Group · Group 2

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

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Learning target I can write and evaluate numbers in exponent form using a base and a power, explain what each part stands for, and build one for a situation I have not seen before.

Remember6.3 Small Group · Group 2

The base is the factor and the exponent counts the factors, so switching them changes the value. Switching the base and the exponent changes the value. You can also write a number as a power.

Words: Exponent (Exponente)Base (Base)Power (Potencia)Evaluate (Evaluar)Repeated multiplication (Multiplicación repetida)

Part 1Understand the idea
  1. 1Circle the letter of the best answer. Show how you know.

    Compare 2¹² and 4⁶. Which statement is true?

    1. A2¹² > 4⁶
    2. B2¹² = 4⁶
    3. C2¹² < 4⁶
    Show your work
Part 2Apply it
  1. 2Complete each step, then write the final answer.

    Write 64 as a power with base 2. What is the exponent?

    Show your work
    Final answer:
  2. 3Complete each step, then write the final answer.

    Find the value of 1.5².

    Show your work
    Final answer:
  3. 4Complete each step, then write the final answer.

    A principal calls 6 teachers. Each teacher calls 6 families. Each family calls 6 more families. How many calls are in the last round? Write it as a power first.

    Show your work
    Final answer:

Explain your thinkingDoes a bigger base always give a bigger power? Use 3⁴ and 4³ to explain your answer.

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