Worksheet

National Parks Power Notebook

Practice writing and evaluating numerical expressions with whole-number exponents in a national parks road-trip notebook.

Grade 6MathInteractive · Printable

Aligned to6.EE.A.1

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
14 questions
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Details

Format: Interactive · Printable
Grade: Grade 6
Subject: Math
Question types: Fill in the blank, Multiple choice, Short answer

About this worksheet

What students practice

Students write repeated multiplication as numerical expressions with whole-number exponents.
Students evaluate numerical expressions with exponents using the order of operations.
Students use expressions with exponents to model and check road-trip plans.

How to use

Use after introducing exponent notation. Have students work without calculators and show intermediate steps on separate paper, then discuss the final error analysis.

Curriculum

Common Core standard covered

6.EE.A.1

Write and evaluate numerical expressions that use whole-number exponents.

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Name Date

National Parks Power Notebook

Write and evaluate expressions for a national parks road trip.

Organize the Trip Notebook

An exponent tells how many times the base is used as a factor. Write or evaluate each power.

Amira organizes the road-trip photos into 4 park folders. Each park folder has 4 day folders, and each day folder has 4 photo groups.

Write 4 × 4 × 4 as a power: 4 raised to the exponent . There are photo groups in all.

A page in the trip album has 6 rows with 6 photos in each row. Which expression uses an exponent to represent the total number of photos?

A. 2⁶
B. 6²
C. 6 × 2
D. 6 + 6

The notebook includes a calculation practice page. Evaluate the power.

3⁴ =

Luis writes 7³ beside a repeated product in the notebook. Which repeated product has the same value?

A. 3 × 3 × 3 × 3 × 3 × 3 × 3
B. 7 × 3
C. 7 × 7 × 7
D. 7 + 7 + 7

A trip-planning checklist describes a photo archive with 10 × 10 × 10 spaces. Write this product as a power and evaluate it.

Base: ; exponent: ; value: .

Work Through the Calculations

Evaluate the notebook expressions. Use parentheses first, then exponents, before multiplication, division, addition, and subtraction.

The travelers use the expression below to count 5 rows of 5 album photos plus 3 rows of 4 extra photos.

5² + 3 × 4 = photos

A redesigned album page has (5 + 3) rows and (5 + 3) photos in every row. Evaluate the expression for the total.

(5 + 3)² = photos

Evaluate this expression from the trip notebook: 96 ÷ 2³ + 7.

A. 23
B. 12
C. 151
D. 19

At each of two park stops, the travelers replace a page holding 6² photos with a page holding 9² photos. Evaluate the expression for the total increase in photo spaces.

2 × (9² − 6²) = additional spaces

10.

For each of three national park stops, the family can choose one of 3 campgrounds. It can also choose one of 2 routes home. Which expression represents the number of possible plans, and what is its value?

A. 3 × 3 × 2 = 18 plans
B. 3³ × 2 = 54 plans
C. 3³ + 2 = 29 plans
D. 3² × 2 = 18 plans

Check the Road-Trip Plans

Use powers to model new situations and check the travelers' reasoning.

11.

At a park stop, each of 4 travelers chooses a square photo sheet with 8 rows of 8 photos. They also choose 9 separate group photos altogether. Which expression represents the total number of photos chosen?

A. (4 × 8)² + 9
B. 4 × (8² + 9)
C. 4 × 8² + 9
D. 4 × 8 × 2 + 9

12.

The family sets aside 50 spaces in a printed journal for two park visits. It selects 2⁵ photos from the first visit and 2⁴ photos from the second. Every selected photo uses one space.

The selected photos use spaces. The journal has unused spaces.

13.

Luis says a square arrangement with 6 rows of 6 park photos contains 12 photos because 6² = 6 × 2. Which statement correctly checks his work?

A. His result is incorrect; 6² means 6 × 6, which equals 36.
B. His result is correct; 6² means 6 × 2, which equals 12.
C. His result is incorrect; 6² means 2 × 2 × 2, which equals 8.
D. His result is correct; 6² means 6 + 6, which equals 12.

14.

Amira makes 3 separate journal pages, one for each of three national parks. Every page has 4 rows with 4 photos in each row. Luis says the total is (3 × 4)² photos. Amira says it is 3 × 4² photos. Who is correct? Evaluate both expressions and explain which one matches the pages.