Mathematics Grade 7 15 min

Exponents with fractional bases

Exponents with fractional bases

What you'll learn

  • Identify the center and radius of a circle given its equation in standard form ( (x - h)² + (y - k)² = r² ) with 100% accuracy on a formative assessment.
  • Graph circles accurately on the Cartesian plane, given their equation in standard form, with at least 80% accuracy on a summative assessment.
  • Rewrite the equation of a circle from general form to standard form by completing the square, demonstrating the process correctly in at least 3 out of 4 practice problems.
  • Explain the relationship between the equation of a circle in standard form and its graphical representation, using precise mathematical vocabulary, in a short constructed response with a rubric score of 3 or higher out of 4.

Tutorial Preview

1

What is (1/2)^2?

2

What is (2/3)^3?

3

What is (4/5)^0?

Sample Practice Questions

Easy
What is (1/3)^2?
0.1/6
1.1/9
2.2/3
3.2/6
Easy
What is (1/5)^2?
0.1/10
1.2/5
2.1/25
3.2/10
Easy
What is (2/3)^2?
0.4/9
1.4/6
2.2/9
3.2/6

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Frequently asked questions

What grade level is "Exponents with fractional bases"?

Exponents with fractional bases is a Grade 7 Mathematics lesson on ExcelOS.

What will I learn in Exponents with fractional bases?

You'll be able to: Identify the center and radius of a circle given its equation in standard form ( (x - h)² + (y - k)² = r² ) with 100% accuracy on a formative assessment; Graph circles accurately on the Cartesian plane, given their equation in….

Is "Exponents with fractional bases" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Exponents with fractional bases?

This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.

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