Explore Numerical Expressions with Exponents

6.AT.5 · Unit 6 · Lesson 3

Name   Period

Objectives / Objetivos

Content Objective: I can write and evaluate numbers in exponent form using a base and a power.

Language Objective: I can explain my work using the words exponent, base, power, and evaluate.

Key Idea / Idea clave

Powers & Exponents. Formula: Base^Exponent (b^n = b · b · ... · b n times). 1. Base is the factor being multiplied repeatedly. 2. Exponent tells how many times to multiply the base by itself. 3. Evaluate: 2³ = 2 × 2 × 2 = 8 (not 2 × 3 = 6)

I Notice / Observo

  • What happens to the volume each time you flip a switch?
  • Why is 2³ equal to 8, not 6?

I Wonder / Me pregunto

  • What if the volume tripled each time instead of doubled?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Powers and Exponents
Potencias y exponentes		A power uses a base and an exponent to show repeated multiplication.
Una potencia usa una base y un exponente para mostrar multiplicación repetida.
Exponent
Exponente		A small number that tells how many times to multiply a number by itself.
Un número pequeño que dice cuántas veces multiplicar un número por sí mismo.
Base
Base		The number that gets multiplied by itself.
El número que se multiplica por sí mismo.
Power
Potencia		A number written with a base and an exponent, like 2³.
Un número escrito con una base y un exponente, como 2³.
Evaluate
Evaluar		To find the value by putting numbers in for the letters.
Encontrar el valor poniendo números en lugar de las letras.

Practice Preview / Vista previa de práctica

  1. What is the value of 4³?
    1. 64
    2. 12
    3. 43
    4. 7
  2. Evaluate each exponential expression. Show the repeated multiplication and the final value.
  3. Sort each power by whether its value is greater than 50 or not.
  4. Find the Exponent Error
    1. Step 1: Expression — 2³
    2. Step 2: Student's thinking — 2 × 3
    3. Step 3: Calculate — = 6

    Which step has the mistake? Explain it and write the correct work.

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: