Explore Numerical Expressions with Exponents
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 / Término | Definition / 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. |
| Repeated multiplication Multiplicación repetida | Multiplying the same factor again and again. Multiplicar el mismo factor una y otra vez. |
Practice Preview / Vista previa de práctica
Read each task. Show your work in the spaces provided and explain how you know.
1. What is the value of 4³?
- A 7
- B 12
- C 43
- D 64
Answer:
2. Evaluate each exponential expression. Show the repeated multiplication and the final value.
Complete each empty cell. Show your reasoning below.
| Power | Repeated Multiplication | Value |
|---|---|---|
| 4³ | 4 × 4 × 4 | |
| 2⁶ | 2 × 2 × 2 × 2 × 2 × 2 | |
| 5³ | 5 × 5 × 5 | |
| 10⁴ | 10 × 10 × 10 × 10 |
3. Sort each power by whether its value is greater than 50 or not.
Write each item in its correct group.
4. Find the Exponent Error
Which step has the mistake, and what should it be?
Reflection / Reflexión
One thing I learned today / Una cosa que aprendí hoy: