AMP Mathematics

Math practice
that adapts.

Math practice that follows what your learner understands. Find a starting point, work through a problem, and see the reasoning.

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AMPMathematics, made visible
AMP / Read a fractionSample

What fraction of the whole is shaded?

See the reasoning
  1. A fraction names part of a whole: the bottom number counts equal parts, the top counts the parts you mean.
  2. The whole is cut into 3 equal parts, so the bottom number (the denominator) is 3.
  3. 2 parts are shaded, so the top number (the numerator) is 2.
  4. So 23\tfrac{2}{3} of the whole is shaded.

Answer: 23\tfrac{2}{3}

An actual AMP problem. Open the reasoning to look inside.

The learning loop

Understanding sets
the pace.

Practice is the center. Lessons and paper support the problem in front of the learner.

How AMP works ↗
  1. 01

    Find a starting point.

    A short placement adapts to the answers. Separate estimates for different areas keep a strong skill from hiding a gap.

  2. 02

    Work at the edge of understanding.

    Mixed practice selects problems from the learner’s skill estimates and revisits earlier work.

  3. 03

    See why it works.

    Open the explanation or lesson when needed. Use a printable for work on paper.

From screen to paper

The same mathematics.
Room to work.

Preview a short lesson, then open a printable sample with a separate solution key.

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Lesson excerpt · Equal parts of one whole

Name the whole first

Choose one whole, like one rectangle. Cut it into 8 parts that are all the same size. Shade 3 of them.

The whole has 8 equal parts, so the denominator is 8. 3 parts are shaded, so the numerator is 3. The shaded amount is 38,\tfrac{3}{8}\text{,} read “three eighths.”

Count the parts that are not shaded too. The denominator counts every equal part in the whole.

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