Unit 7: Exponents and Scientific Notation

Students deepen their understanding of exponents, generalize exponent rules, work with very large and small numbers, and use scientific notation to compute and compare quantities.

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Unit

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Concept

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Practice

Build fluency with more questions.

Set 1

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Set 2

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Advanced

Try more challenging problems.

Set 1

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Set 2

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What this unit covers

A Exponent Rules · 4 lessons

Goals

• Use exponent rules to generate equivalent numerical expressions for powers of 10.

Lessons

1. Exponent Review
2. Multiplying Powers of 10
3. Dividing Powers of 10
4. Negative Exponents with Powers of 10

B More Exponent Rules · 3 lessons

Goals

• Use exponent rules to generate equivalent numerical expressions for expressions with different bases and bases other than 10.

Lessons

1. What about Other Bases?
2. Practice with Rational Bases
3. Combining Bases

C Large and Small Numbers · 3 lessons

Goals

• Compare very large or very small quantities expressed as a multiple of a power of 10.
• Use exponent rules and powers of 10 to solve problems in context.

Lessons

1. Representing Large Numbers on the Number Line
2. Representing Small Numbers on the Number Line
3. Applications of Arithmetic with Powers of 10

D Scientific Notation · 3 lessons

Goals

• Calculate with numbers in scientific notation and interpret them in context.
• Identify numbers written in scientific notation, including scientific notation that has been generated by technology.

Lessons

1. Definition of Scientific Notation
2. Estimating with Scientific Notation
3. Adding and Subtracting with Scientific Notation

E Let's Put It to Work · 1 lesson

Lessons

1. Is a Smartphone Smart Enough to Go to the Moon? (Optional)