Mathematics Grade 7 15 min

Half-life and population doubling

Half-life and population doubling

What you'll learn

  • Identify the center, major axis, minor axis, vertices, co-vertices, and foci of an ellipse given its equation in general form, and convert it to standard form with 100% accuracy on a formative assessment.
  • Solve problems by writing the equation of an ellipse in standard form given its center, the length of its major and minor axes, and the orientation of the major axis with 80% accuracy on a summative quiz.
  • Apply knowledge of completing the square to rewrite the equation of an ellipse from general form to standard form, justifying each step in the process with mathematically sound reasoning in a written explanation.
  • Explain the relationship between the values of 'a', 'b', and 'c' in the standard form equation of an ellipse and the geometric properties of the ellipse, including the location of the foci, with clear and concise mathematical language.

Tutorial Preview

1

An element has a half-life of 10 years. If you start with 80g, how much is left after 20 years?

2

A bacteria colony starts with 5 cells and doubles every hour. How many cells are there after 3 hours?

3

A fossil has 25g of a substance with a half-life of 5,000 years. How much was there 10,000 years ago?

Sample Practice Questions

Easy
A sample of 20g of a substance has a half-life of 1 day. How much is left after 1 day?
0.10g
1.20g
2.5g
3.40g
Easy
A population of 10 cells doubles every hour. How many cells are there after 1 hour?
0.15
1.20
2.10
3.5
Easy
A radioactive material weighs 80mg. Its half-life is 1 year. How much is left after 2 years?
0.40mg
1.30mg
2.20mg
3.10mg

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Frequently asked questions

What grade level is "Half-life and population doubling"?

Half-life and population doubling is a Grade 7 Mathematics lesson on ExcelOS.

What will I learn in Half-life and population doubling?

You'll be able to: Identify the center, major axis, minor axis, vertices, co-vertices, and foci of an ellipse given its equation in general form, and convert it to standard form with 100% accuracy on a formative assessment; Solve problems by….

Is "Half-life and population doubling" 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 Half-life and population doubling?

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

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